Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf ·...
Transcript of Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf ·...
![Page 1: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/1.jpg)
Logic and the set theoryLecture 2: Arguments
S. Choi
Department of Mathematical ScienceKAIST, Daejeon, South Korea
Fall semester, 2012
S. Choi (KAIST) Logic and set theory September 9, 2012 1 / 21
![Page 2: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/2.jpg)
Introduction
About this lecture
Arguments, Nolt. Ch. 1.
Argument diagramsArgument evaluation: Nolt Ch. 2Fallacies Ch 8. ( no need to memorize here.)Course homepages:http://mathsci.kaist.ac.kr/~schoi/logic.html andthe moodle page (KLMS) http://edu3.kaist.ac.krGrading and so on in KLMS. Ask questions in KLMS.
S. Choi (KAIST) Logic and set theory September 9, 2012 2 / 21
![Page 3: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/3.jpg)
Introduction
About this lecture
Arguments, Nolt. Ch. 1.Argument diagrams
Argument evaluation: Nolt Ch. 2Fallacies Ch 8. ( no need to memorize here.)Course homepages:http://mathsci.kaist.ac.kr/~schoi/logic.html andthe moodle page (KLMS) http://edu3.kaist.ac.krGrading and so on in KLMS. Ask questions in KLMS.
S. Choi (KAIST) Logic and set theory September 9, 2012 2 / 21
![Page 4: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/4.jpg)
Introduction
About this lecture
Arguments, Nolt. Ch. 1.Argument diagramsArgument evaluation: Nolt Ch. 2
Fallacies Ch 8. ( no need to memorize here.)Course homepages:http://mathsci.kaist.ac.kr/~schoi/logic.html andthe moodle page (KLMS) http://edu3.kaist.ac.krGrading and so on in KLMS. Ask questions in KLMS.
S. Choi (KAIST) Logic and set theory September 9, 2012 2 / 21
![Page 5: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/5.jpg)
Introduction
About this lecture
Arguments, Nolt. Ch. 1.Argument diagramsArgument evaluation: Nolt Ch. 2Fallacies Ch 8. ( no need to memorize here.)
Course homepages:http://mathsci.kaist.ac.kr/~schoi/logic.html andthe moodle page (KLMS) http://edu3.kaist.ac.krGrading and so on in KLMS. Ask questions in KLMS.
S. Choi (KAIST) Logic and set theory September 9, 2012 2 / 21
![Page 6: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/6.jpg)
Introduction
About this lecture
Arguments, Nolt. Ch. 1.Argument diagramsArgument evaluation: Nolt Ch. 2Fallacies Ch 8. ( no need to memorize here.)Course homepages:http://mathsci.kaist.ac.kr/~schoi/logic.html andthe moodle page (KLMS) http://edu3.kaist.ac.kr
Grading and so on in KLMS. Ask questions in KLMS.
S. Choi (KAIST) Logic and set theory September 9, 2012 2 / 21
![Page 7: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/7.jpg)
Introduction
About this lecture
Arguments, Nolt. Ch. 1.Argument diagramsArgument evaluation: Nolt Ch. 2Fallacies Ch 8. ( no need to memorize here.)Course homepages:http://mathsci.kaist.ac.kr/~schoi/logic.html andthe moodle page (KLMS) http://edu3.kaist.ac.krGrading and so on in KLMS. Ask questions in KLMS.
S. Choi (KAIST) Logic and set theory September 9, 2012 2 / 21
![Page 8: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/8.jpg)
Introduction
Some helpful references
"Susahak" in our library
"Mookja" (1977) Mozi in our library"Nonuh", Lunyu (English: Analects)[1] (also known as theAnalects of Confucius )Modern rhetoric / Brooks, Cleanth / Harcourt Brace Jovanovich(1979)Ancient Rhetorics, S. Crowley, D. Hawhee, 3rd Edition,Pearson,Longmanhttp://plato.stanford.edu/contents.html has muchresource. Search for rhetoric, informal logic, Mozi.
S. Choi (KAIST) Logic and set theory September 9, 2012 3 / 21
![Page 9: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/9.jpg)
Introduction
Some helpful references
"Susahak" in our library"Mookja" (1977) Mozi in our library
"Nonuh", Lunyu (English: Analects)[1] (also known as theAnalects of Confucius )Modern rhetoric / Brooks, Cleanth / Harcourt Brace Jovanovich(1979)Ancient Rhetorics, S. Crowley, D. Hawhee, 3rd Edition,Pearson,Longmanhttp://plato.stanford.edu/contents.html has muchresource. Search for rhetoric, informal logic, Mozi.
S. Choi (KAIST) Logic and set theory September 9, 2012 3 / 21
![Page 10: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/10.jpg)
Introduction
Some helpful references
"Susahak" in our library"Mookja" (1977) Mozi in our library"Nonuh", Lunyu (English: Analects)[1] (also known as theAnalects of Confucius )
Modern rhetoric / Brooks, Cleanth / Harcourt Brace Jovanovich(1979)Ancient Rhetorics, S. Crowley, D. Hawhee, 3rd Edition,Pearson,Longmanhttp://plato.stanford.edu/contents.html has muchresource. Search for rhetoric, informal logic, Mozi.
S. Choi (KAIST) Logic and set theory September 9, 2012 3 / 21
![Page 11: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/11.jpg)
Introduction
Some helpful references
"Susahak" in our library"Mookja" (1977) Mozi in our library"Nonuh", Lunyu (English: Analects)[1] (also known as theAnalects of Confucius )Modern rhetoric / Brooks, Cleanth / Harcourt Brace Jovanovich(1979)
Ancient Rhetorics, S. Crowley, D. Hawhee, 3rd Edition,Pearson,Longmanhttp://plato.stanford.edu/contents.html has muchresource. Search for rhetoric, informal logic, Mozi.
S. Choi (KAIST) Logic and set theory September 9, 2012 3 / 21
![Page 12: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/12.jpg)
Introduction
Some helpful references
"Susahak" in our library"Mookja" (1977) Mozi in our library"Nonuh", Lunyu (English: Analects)[1] (also known as theAnalects of Confucius )Modern rhetoric / Brooks, Cleanth / Harcourt Brace Jovanovich(1979)Ancient Rhetorics, S. Crowley, D. Hawhee, 3rd Edition,Pearson,Longman
http://plato.stanford.edu/contents.html has muchresource. Search for rhetoric, informal logic, Mozi.
S. Choi (KAIST) Logic and set theory September 9, 2012 3 / 21
![Page 13: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/13.jpg)
Introduction
Some helpful references
"Susahak" in our library"Mookja" (1977) Mozi in our library"Nonuh", Lunyu (English: Analects)[1] (also known as theAnalects of Confucius )Modern rhetoric / Brooks, Cleanth / Harcourt Brace Jovanovich(1979)Ancient Rhetorics, S. Crowley, D. Hawhee, 3rd Edition,Pearson,Longmanhttp://plato.stanford.edu/contents.html has muchresource. Search for rhetoric, informal logic, Mozi.
S. Choi (KAIST) Logic and set theory September 9, 2012 3 / 21
![Page 14: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/14.jpg)
Arguments
ArgumentWhat is an “argument"?
It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 15: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/15.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.
This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 16: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/16.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).
The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 17: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/17.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)
Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 18: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/18.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.
Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 19: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/19.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)
Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 20: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/20.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)
Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 21: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/21.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 22: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/22.jpg)
Arguments
ArgumentWhat is an “argument"?It is an attempt to convince some one of certain beliefs.This was developed as ancient rhetorics by Greek Sophists ,Roman Orators (Cecero), Arab philosophers, and Chinesephilosophers (Mozi).The Logicians or School of Names was a Chinese philosophicalschool that grew out of Mohism in the Warring States Period. (SeeStanford)Confucius arguments are mainly about how to bring humanenatural compulses out of any one.Indian logic (Very developed and complete)Buddhism (The west learned it mostly from the Japanese.)Mostly, these involve much emotional components. Seizing themoments...
S. Choi (KAIST) Logic and set theory September 9, 2012 4 / 21
![Page 23: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/23.jpg)
Arguments
Socratic methods. Examine people’s arguments. Definitions exist?What are undefined and used freely? Find self-contradictions inthe reasoning.
Socratic methods can be used constructively to produce soundreasonings.Plato condemned the Sophists.Aristotelian Syllogism:(http://en.wikipedia.org/wiki/Syllogism) supercededby Frege and Russell.Aristoles Rhetoric (a book to Alexander). There are also books bySophists (for example by Isocrates).
S. Choi (KAIST) Logic and set theory September 9, 2012 5 / 21
![Page 24: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/24.jpg)
Arguments
Socratic methods. Examine people’s arguments. Definitions exist?What are undefined and used freely? Find self-contradictions inthe reasoning.Socratic methods can be used constructively to produce soundreasonings.
Plato condemned the Sophists.Aristotelian Syllogism:(http://en.wikipedia.org/wiki/Syllogism) supercededby Frege and Russell.Aristoles Rhetoric (a book to Alexander). There are also books bySophists (for example by Isocrates).
S. Choi (KAIST) Logic and set theory September 9, 2012 5 / 21
![Page 25: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/25.jpg)
Arguments
Socratic methods. Examine people’s arguments. Definitions exist?What are undefined and used freely? Find self-contradictions inthe reasoning.Socratic methods can be used constructively to produce soundreasonings.Plato condemned the Sophists.
Aristotelian Syllogism:(http://en.wikipedia.org/wiki/Syllogism) supercededby Frege and Russell.Aristoles Rhetoric (a book to Alexander). There are also books bySophists (for example by Isocrates).
S. Choi (KAIST) Logic and set theory September 9, 2012 5 / 21
![Page 26: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/26.jpg)
Arguments
Socratic methods. Examine people’s arguments. Definitions exist?What are undefined and used freely? Find self-contradictions inthe reasoning.Socratic methods can be used constructively to produce soundreasonings.Plato condemned the Sophists.Aristotelian Syllogism:(http://en.wikipedia.org/wiki/Syllogism) supercededby Frege and Russell.
Aristoles Rhetoric (a book to Alexander). There are also books bySophists (for example by Isocrates).
S. Choi (KAIST) Logic and set theory September 9, 2012 5 / 21
![Page 27: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/27.jpg)
Arguments
Socratic methods. Examine people’s arguments. Definitions exist?What are undefined and used freely? Find self-contradictions inthe reasoning.Socratic methods can be used constructively to produce soundreasonings.Plato condemned the Sophists.Aristotelian Syllogism:(http://en.wikipedia.org/wiki/Syllogism) supercededby Frege and Russell.Aristoles Rhetoric (a book to Alexander). There are also books bySophists (for example by Isocrates).
S. Choi (KAIST) Logic and set theory September 9, 2012 5 / 21
![Page 28: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/28.jpg)
Arguments
Modern rhetorics
In the modern times, we use "just the facts, please".
Opinions of majority of people (or experts) are considered facts.Use examples.Mathematical arguments are limited to logical steps only. So thisis very much distinctive.One follows the logic of Russell and Frege as only valid forms ofarguments.This is the formal logic (This is the content of Nolt, Ch. 3-7)Informal logic is the attempt to develop a logic to assess, analyzeand improve ordinary language (or "everyday") reasoning
S. Choi (KAIST) Logic and set theory September 9, 2012 6 / 21
![Page 29: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/29.jpg)
Arguments
Modern rhetorics
In the modern times, we use "just the facts, please".Opinions of majority of people (or experts) are considered facts.
Use examples.Mathematical arguments are limited to logical steps only. So thisis very much distinctive.One follows the logic of Russell and Frege as only valid forms ofarguments.This is the formal logic (This is the content of Nolt, Ch. 3-7)Informal logic is the attempt to develop a logic to assess, analyzeand improve ordinary language (or "everyday") reasoning
S. Choi (KAIST) Logic and set theory September 9, 2012 6 / 21
![Page 30: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/30.jpg)
Arguments
Modern rhetorics
In the modern times, we use "just the facts, please".Opinions of majority of people (or experts) are considered facts.Use examples.
Mathematical arguments are limited to logical steps only. So thisis very much distinctive.One follows the logic of Russell and Frege as only valid forms ofarguments.This is the formal logic (This is the content of Nolt, Ch. 3-7)Informal logic is the attempt to develop a logic to assess, analyzeand improve ordinary language (or "everyday") reasoning
S. Choi (KAIST) Logic and set theory September 9, 2012 6 / 21
![Page 31: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/31.jpg)
Arguments
Modern rhetorics
In the modern times, we use "just the facts, please".Opinions of majority of people (or experts) are considered facts.Use examples.Mathematical arguments are limited to logical steps only. So thisis very much distinctive.
One follows the logic of Russell and Frege as only valid forms ofarguments.This is the formal logic (This is the content of Nolt, Ch. 3-7)Informal logic is the attempt to develop a logic to assess, analyzeand improve ordinary language (or "everyday") reasoning
S. Choi (KAIST) Logic and set theory September 9, 2012 6 / 21
![Page 32: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/32.jpg)
Arguments
Modern rhetorics
In the modern times, we use "just the facts, please".Opinions of majority of people (or experts) are considered facts.Use examples.Mathematical arguments are limited to logical steps only. So thisis very much distinctive.One follows the logic of Russell and Frege as only valid forms ofarguments.
This is the formal logic (This is the content of Nolt, Ch. 3-7)Informal logic is the attempt to develop a logic to assess, analyzeand improve ordinary language (or "everyday") reasoning
S. Choi (KAIST) Logic and set theory September 9, 2012 6 / 21
![Page 33: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/33.jpg)
Arguments
Modern rhetorics
In the modern times, we use "just the facts, please".Opinions of majority of people (or experts) are considered facts.Use examples.Mathematical arguments are limited to logical steps only. So thisis very much distinctive.One follows the logic of Russell and Frege as only valid forms ofarguments.This is the formal logic (This is the content of Nolt, Ch. 3-7)
Informal logic is the attempt to develop a logic to assess, analyzeand improve ordinary language (or "everyday") reasoning
S. Choi (KAIST) Logic and set theory September 9, 2012 6 / 21
![Page 34: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/34.jpg)
Arguments
Modern rhetorics
In the modern times, we use "just the facts, please".Opinions of majority of people (or experts) are considered facts.Use examples.Mathematical arguments are limited to logical steps only. So thisis very much distinctive.One follows the logic of Russell and Frege as only valid forms ofarguments.This is the formal logic (This is the content of Nolt, Ch. 3-7)Informal logic is the attempt to develop a logic to assess, analyzeand improve ordinary language (or "everyday") reasoning
S. Choi (KAIST) Logic and set theory September 9, 2012 6 / 21
![Page 35: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/35.jpg)
Arguments
Mathematical arguments
All humans are mortal. Socrates is human. Therefore, Socrates ismortal.
Since the U.S. federal reserve has issued too much money, therewill be inflation.China has many intelligent people. Thus, China must soonbecome very rich.Which of the above is right?The arguments involve premises (for, since, because, assumingthat) and conclusions. (Therefore, thus, hence, accordingly...)
S. Choi (KAIST) Logic and set theory September 9, 2012 7 / 21
![Page 36: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/36.jpg)
Arguments
Mathematical arguments
All humans are mortal. Socrates is human. Therefore, Socrates ismortal.Since the U.S. federal reserve has issued too much money, therewill be inflation.
China has many intelligent people. Thus, China must soonbecome very rich.Which of the above is right?The arguments involve premises (for, since, because, assumingthat) and conclusions. (Therefore, thus, hence, accordingly...)
S. Choi (KAIST) Logic and set theory September 9, 2012 7 / 21
![Page 37: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/37.jpg)
Arguments
Mathematical arguments
All humans are mortal. Socrates is human. Therefore, Socrates ismortal.Since the U.S. federal reserve has issued too much money, therewill be inflation.China has many intelligent people. Thus, China must soonbecome very rich.
Which of the above is right?The arguments involve premises (for, since, because, assumingthat) and conclusions. (Therefore, thus, hence, accordingly...)
S. Choi (KAIST) Logic and set theory September 9, 2012 7 / 21
![Page 38: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/38.jpg)
Arguments
Mathematical arguments
All humans are mortal. Socrates is human. Therefore, Socrates ismortal.Since the U.S. federal reserve has issued too much money, therewill be inflation.China has many intelligent people. Thus, China must soonbecome very rich.Which of the above is right?
The arguments involve premises (for, since, because, assumingthat) and conclusions. (Therefore, thus, hence, accordingly...)
S. Choi (KAIST) Logic and set theory September 9, 2012 7 / 21
![Page 39: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/39.jpg)
Arguments
Mathematical arguments
All humans are mortal. Socrates is human. Therefore, Socrates ismortal.Since the U.S. federal reserve has issued too much money, therewill be inflation.China has many intelligent people. Thus, China must soonbecome very rich.Which of the above is right?The arguments involve premises (for, since, because, assumingthat) and conclusions. (Therefore, thus, hence, accordingly...)
S. Choi (KAIST) Logic and set theory September 9, 2012 7 / 21
![Page 40: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/40.jpg)
Arguments
Some exercises
Arguments have to be put in order of premises and thenconclusion.
One often needs to break down the sentences into “atomic”pieces.This means that you break them down until no furtherdecomposition can be done. (Linguistically always possible. Sowe assume or enforce.)
I√
2 cannot be expressed as a ratio of two integersI Every rational number is expressible as a ratio of two integers.I Thus,
√2 is not a rational number.
S. Choi (KAIST) Logic and set theory September 9, 2012 8 / 21
![Page 41: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/41.jpg)
Arguments
Some exercises
Arguments have to be put in order of premises and thenconclusion.One often needs to break down the sentences into “atomic”pieces.
This means that you break them down until no furtherdecomposition can be done. (Linguistically always possible. Sowe assume or enforce.)
I√
2 cannot be expressed as a ratio of two integersI Every rational number is expressible as a ratio of two integers.I Thus,
√2 is not a rational number.
S. Choi (KAIST) Logic and set theory September 9, 2012 8 / 21
![Page 42: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/42.jpg)
Arguments
Some exercises
Arguments have to be put in order of premises and thenconclusion.One often needs to break down the sentences into “atomic”pieces.This means that you break them down until no furtherdecomposition can be done. (Linguistically always possible. Sowe assume or enforce.)
I√
2 cannot be expressed as a ratio of two integersI Every rational number is expressible as a ratio of two integers.I Thus,
√2 is not a rational number.
S. Choi (KAIST) Logic and set theory September 9, 2012 8 / 21
![Page 43: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/43.jpg)
Arguments
Some exercises
Arguments have to be put in order of premises and thenconclusion.One often needs to break down the sentences into “atomic”pieces.This means that you break them down until no furtherdecomposition can be done. (Linguistically always possible. Sowe assume or enforce.)
I√
2 cannot be expressed as a ratio of two integers
I Every rational number is expressible as a ratio of two integers.I Thus,
√2 is not a rational number.
S. Choi (KAIST) Logic and set theory September 9, 2012 8 / 21
![Page 44: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/44.jpg)
Arguments
Some exercises
Arguments have to be put in order of premises and thenconclusion.One often needs to break down the sentences into “atomic”pieces.This means that you break them down until no furtherdecomposition can be done. (Linguistically always possible. Sowe assume or enforce.)
I√
2 cannot be expressed as a ratio of two integersI Every rational number is expressible as a ratio of two integers.
I Thus,√
2 is not a rational number.
S. Choi (KAIST) Logic and set theory September 9, 2012 8 / 21
![Page 45: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/45.jpg)
Arguments
Some exercises
Arguments have to be put in order of premises and thenconclusion.One often needs to break down the sentences into “atomic”pieces.This means that you break them down until no furtherdecomposition can be done. (Linguistically always possible. Sowe assume or enforce.)
I√
2 cannot be expressed as a ratio of two integersI Every rational number is expressible as a ratio of two integers.I Thus,
√2 is not a rational number.
S. Choi (KAIST) Logic and set theory September 9, 2012 8 / 21
![Page 46: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/46.jpg)
Arguments
Argument diagram
Label the atomic sentences.
One groups atomic sentences into groups that implies anotheratomic sentence excluding any sentence that is not needed.The result has no cycles for the argument to be valid.Outside the formal logic, one can still draw argument diagrams..
S. Choi (KAIST) Logic and set theory September 9, 2012 9 / 21
![Page 47: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/47.jpg)
Arguments
Argument diagram
Label the atomic sentences.One groups atomic sentences into groups that implies anotheratomic sentence excluding any sentence that is not needed.
The result has no cycles for the argument to be valid.Outside the formal logic, one can still draw argument diagrams..
S. Choi (KAIST) Logic and set theory September 9, 2012 9 / 21
![Page 48: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/48.jpg)
Arguments
Argument diagram
Label the atomic sentences.One groups atomic sentences into groups that implies anotheratomic sentence excluding any sentence that is not needed.The result has no cycles for the argument to be valid.
Outside the formal logic, one can still draw argument diagrams..
S. Choi (KAIST) Logic and set theory September 9, 2012 9 / 21
![Page 49: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/49.jpg)
Arguments
Argument diagram
Label the atomic sentences.One groups atomic sentences into groups that implies anotheratomic sentence excluding any sentence that is not needed.The result has no cycles for the argument to be valid.Outside the formal logic, one can still draw argument diagrams..
S. Choi (KAIST) Logic and set theory September 9, 2012 9 / 21
![Page 50: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/50.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.Therefore, many people came to Seoul.Hence, Seoul has too much population.Too much people in Seoul create problems.Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 51: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/51.jpg)
Arguments
I Seoul has most of the resources of Korea.
People need resources to be in their city.Therefore, many people came to Seoul.Hence, Seoul has too much population.Too much people in Seoul create problems.Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 52: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/52.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.
Therefore, many people came to Seoul.Hence, Seoul has too much population.Too much people in Seoul create problems.Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 53: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/53.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.Therefore, many people came to Seoul.
Hence, Seoul has too much population.Too much people in Seoul create problems.Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 54: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/54.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.Therefore, many people came to Seoul.Hence, Seoul has too much population.
Too much people in Seoul create problems.Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 55: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/55.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.Therefore, many people came to Seoul.Hence, Seoul has too much population.Too much people in Seoul create problems.
Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 56: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/56.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.Therefore, many people came to Seoul.Hence, Seoul has too much population.Too much people in Seoul create problems.Seoul should not have the problems.
We must disperse the population to other places.I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 57: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/57.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.Therefore, many people came to Seoul.Hence, Seoul has too much population.Too much people in Seoul create problems.Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 58: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/58.jpg)
Arguments
I Seoul has most of the resources of Korea.People need resources to be in their city.Therefore, many people came to Seoul.Hence, Seoul has too much population.Too much people in Seoul create problems.Seoul should not have the problems.We must disperse the population to other places.
I I I I I I 1-+ 2 -> 3 -> 4 + 5+6 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 10 / 21
![Page 59: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/59.jpg)
Arguments
China must grow fast or there will be instabilites.
China must not become unstable.If a large country becomes unstable, then the nearby countrysuffers.China is large.South Korea is a nearby country.South Korea must not suffer.Therefore China must grow fast.3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
![Page 60: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/60.jpg)
Arguments
China must grow fast or there will be instabilites.China must not become unstable.
If a large country becomes unstable, then the nearby countrysuffers.China is large.South Korea is a nearby country.South Korea must not suffer.Therefore China must grow fast.3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
![Page 61: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/61.jpg)
Arguments
China must grow fast or there will be instabilites.China must not become unstable.If a large country becomes unstable, then the nearby countrysuffers.
China is large.South Korea is a nearby country.South Korea must not suffer.Therefore China must grow fast.3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
![Page 62: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/62.jpg)
Arguments
China must grow fast or there will be instabilites.China must not become unstable.If a large country becomes unstable, then the nearby countrysuffers.China is large.
South Korea is a nearby country.South Korea must not suffer.Therefore China must grow fast.3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
![Page 63: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/63.jpg)
Arguments
China must grow fast or there will be instabilites.China must not become unstable.If a large country becomes unstable, then the nearby countrysuffers.China is large.South Korea is a nearby country.
South Korea must not suffer.Therefore China must grow fast.3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
![Page 64: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/64.jpg)
Arguments
China must grow fast or there will be instabilites.China must not become unstable.If a large country becomes unstable, then the nearby countrysuffers.China is large.South Korea is a nearby country.South Korea must not suffer.
Therefore China must grow fast.3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
![Page 65: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/65.jpg)
Arguments
China must grow fast or there will be instabilites.China must not become unstable.If a large country becomes unstable, then the nearby countrysuffers.China is large.South Korea is a nearby country.South Korea must not suffer.Therefore China must grow fast.
3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
![Page 66: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/66.jpg)
Arguments
China must grow fast or there will be instabilites.China must not become unstable.If a large country becomes unstable, then the nearby countrysuffers.China is large.South Korea is a nearby country.South Korea must not suffer.Therefore China must grow fast.3+4+5+6-> 2 + 1 -> 7
S. Choi (KAIST) Logic and set theory September 9, 2012 11 / 21
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Arguments
Argument evaluation
This is mostly in informal logic.
Truth of premisesDeductive argument: If all the premises are true, then theconclusion must be true. i.e., the conclusion is necessary.Inductive argument (Strong, weak): here, the conclusion is notnecessary but often with large probability.Valid arguments: A deductive argumentInvalid arguments: non-deductive argument (includes inductiveones)Any conclusion follows deductively from inconsistent premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 12 / 21
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Arguments
Argument evaluation
This is mostly in informal logic.Truth of premises
Deductive argument: If all the premises are true, then theconclusion must be true. i.e., the conclusion is necessary.Inductive argument (Strong, weak): here, the conclusion is notnecessary but often with large probability.Valid arguments: A deductive argumentInvalid arguments: non-deductive argument (includes inductiveones)Any conclusion follows deductively from inconsistent premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 12 / 21
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Arguments
Argument evaluation
This is mostly in informal logic.Truth of premisesDeductive argument: If all the premises are true, then theconclusion must be true. i.e., the conclusion is necessary.
Inductive argument (Strong, weak): here, the conclusion is notnecessary but often with large probability.Valid arguments: A deductive argumentInvalid arguments: non-deductive argument (includes inductiveones)Any conclusion follows deductively from inconsistent premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 12 / 21
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Arguments
Argument evaluation
This is mostly in informal logic.Truth of premisesDeductive argument: If all the premises are true, then theconclusion must be true. i.e., the conclusion is necessary.Inductive argument (Strong, weak): here, the conclusion is notnecessary but often with large probability.
Valid arguments: A deductive argumentInvalid arguments: non-deductive argument (includes inductiveones)Any conclusion follows deductively from inconsistent premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 12 / 21
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Arguments
Argument evaluation
This is mostly in informal logic.Truth of premisesDeductive argument: If all the premises are true, then theconclusion must be true. i.e., the conclusion is necessary.Inductive argument (Strong, weak): here, the conclusion is notnecessary but often with large probability.Valid arguments: A deductive argument
Invalid arguments: non-deductive argument (includes inductiveones)Any conclusion follows deductively from inconsistent premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 12 / 21
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Arguments
Argument evaluation
This is mostly in informal logic.Truth of premisesDeductive argument: If all the premises are true, then theconclusion must be true. i.e., the conclusion is necessary.Inductive argument (Strong, weak): here, the conclusion is notnecessary but often with large probability.Valid arguments: A deductive argumentInvalid arguments: non-deductive argument (includes inductiveones)
Any conclusion follows deductively from inconsistent premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 12 / 21
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Arguments
Argument evaluation
This is mostly in informal logic.Truth of premisesDeductive argument: If all the premises are true, then theconclusion must be true. i.e., the conclusion is necessary.Inductive argument (Strong, weak): here, the conclusion is notnecessary but often with large probability.Valid arguments: A deductive argumentInvalid arguments: non-deductive argument (includes inductiveones)Any conclusion follows deductively from inconsistent premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 12 / 21
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Arguments
Examples
Some pigs have wings.
All winged things sing.Therefore, pigs sing.All mathematical theorems are always true.The Black-Scholes equation is a mathematical theorem.Therefore, the Black-Scholes equations are always true under allsituations.See also the Black Swan theory. (There is a book by NassimNicholas Taleb)
S. Choi (KAIST) Logic and set theory September 9, 2012 13 / 21
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Arguments
Examples
Some pigs have wings.All winged things sing.
Therefore, pigs sing.All mathematical theorems are always true.The Black-Scholes equation is a mathematical theorem.Therefore, the Black-Scholes equations are always true under allsituations.See also the Black Swan theory. (There is a book by NassimNicholas Taleb)
S. Choi (KAIST) Logic and set theory September 9, 2012 13 / 21
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Arguments
Examples
Some pigs have wings.All winged things sing.Therefore, pigs sing.
All mathematical theorems are always true.The Black-Scholes equation is a mathematical theorem.Therefore, the Black-Scholes equations are always true under allsituations.See also the Black Swan theory. (There is a book by NassimNicholas Taleb)
S. Choi (KAIST) Logic and set theory September 9, 2012 13 / 21
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Arguments
Examples
Some pigs have wings.All winged things sing.Therefore, pigs sing.All mathematical theorems are always true.
The Black-Scholes equation is a mathematical theorem.Therefore, the Black-Scholes equations are always true under allsituations.See also the Black Swan theory. (There is a book by NassimNicholas Taleb)
S. Choi (KAIST) Logic and set theory September 9, 2012 13 / 21
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Arguments
Examples
Some pigs have wings.All winged things sing.Therefore, pigs sing.All mathematical theorems are always true.The Black-Scholes equation is a mathematical theorem.
Therefore, the Black-Scholes equations are always true under allsituations.See also the Black Swan theory. (There is a book by NassimNicholas Taleb)
S. Choi (KAIST) Logic and set theory September 9, 2012 13 / 21
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Arguments
Examples
Some pigs have wings.All winged things sing.Therefore, pigs sing.All mathematical theorems are always true.The Black-Scholes equation is a mathematical theorem.Therefore, the Black-Scholes equations are always true under allsituations.
See also the Black Swan theory. (There is a book by NassimNicholas Taleb)
S. Choi (KAIST) Logic and set theory September 9, 2012 13 / 21
![Page 80: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/80.jpg)
Arguments
Examples
Some pigs have wings.All winged things sing.Therefore, pigs sing.All mathematical theorems are always true.The Black-Scholes equation is a mathematical theorem.Therefore, the Black-Scholes equations are always true under allsituations.See also the Black Swan theory. (There is a book by NassimNicholas Taleb)
S. Choi (KAIST) Logic and set theory September 9, 2012 13 / 21
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Fallacies
Fallacies
Mistakes or deceptions in arguments. See Stanford under informallogic. There are criticisms against classifying fallacies but ....
I Fallacies of relevanceI Circular reasoningI Semantic fallaciesI Formal fallaciesI False premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 14 / 21
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Fallacies
Fallacies
Mistakes or deceptions in arguments. See Stanford under informallogic. There are criticisms against classifying fallacies but ....
I Fallacies of relevance
I Circular reasoningI Semantic fallaciesI Formal fallaciesI False premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 14 / 21
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Fallacies
Fallacies
Mistakes or deceptions in arguments. See Stanford under informallogic. There are criticisms against classifying fallacies but ....
I Fallacies of relevanceI Circular reasoning
I Semantic fallaciesI Formal fallaciesI False premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 14 / 21
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Fallacies
Fallacies
Mistakes or deceptions in arguments. See Stanford under informallogic. There are criticisms against classifying fallacies but ....
I Fallacies of relevanceI Circular reasoningI Semantic fallacies
I Formal fallaciesI False premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 14 / 21
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Fallacies
Fallacies
Mistakes or deceptions in arguments. See Stanford under informallogic. There are criticisms against classifying fallacies but ....
I Fallacies of relevanceI Circular reasoningI Semantic fallaciesI Formal fallacies
I False premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 14 / 21
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Fallacies
Fallacies
Mistakes or deceptions in arguments. See Stanford under informallogic. There are criticisms against classifying fallacies but ....
I Fallacies of relevanceI Circular reasoningI Semantic fallaciesI Formal fallaciesI False premises.
S. Choi (KAIST) Logic and set theory September 9, 2012 14 / 21
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Fallacies
Fallacies of relevance
Ad hominem
The kind
I Ad hominem abuse: attacks a person’s age, character, ethnicity,personality,...
I guilt by association: attacks the company he or she keepsI Tu quoque: attacks that a person has a double standard.I Vested interest: a proponent is motivated by greedI Circumstantial ad hominem: a proponent is endorsing conflicting
propositions.
S. Choi (KAIST) Logic and set theory September 9, 2012 15 / 21
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Fallacies
Fallacies of relevance
Ad hominemThe kind
I Ad hominem abuse: attacks a person’s age, character, ethnicity,personality,...
I guilt by association: attacks the company he or she keepsI Tu quoque: attacks that a person has a double standard.I Vested interest: a proponent is motivated by greedI Circumstantial ad hominem: a proponent is endorsing conflicting
propositions.
S. Choi (KAIST) Logic and set theory September 9, 2012 15 / 21
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Fallacies
Fallacies of relevance
Ad hominemThe kind
I Ad hominem abuse: attacks a person’s age, character, ethnicity,personality,...
I guilt by association: attacks the company he or she keepsI Tu quoque: attacks that a person has a double standard.I Vested interest: a proponent is motivated by greedI Circumstantial ad hominem: a proponent is endorsing conflicting
propositions.
S. Choi (KAIST) Logic and set theory September 9, 2012 15 / 21
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Fallacies
Fallacies of relevance
Ad hominemThe kind
I Ad hominem abuse: attacks a person’s age, character, ethnicity,personality,...
I guilt by association: attacks the company he or she keeps
I Tu quoque: attacks that a person has a double standard.I Vested interest: a proponent is motivated by greedI Circumstantial ad hominem: a proponent is endorsing conflicting
propositions.
S. Choi (KAIST) Logic and set theory September 9, 2012 15 / 21
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Fallacies
Fallacies of relevance
Ad hominemThe kind
I Ad hominem abuse: attacks a person’s age, character, ethnicity,personality,...
I guilt by association: attacks the company he or she keepsI Tu quoque: attacks that a person has a double standard.
I Vested interest: a proponent is motivated by greedI Circumstantial ad hominem: a proponent is endorsing conflicting
propositions.
S. Choi (KAIST) Logic and set theory September 9, 2012 15 / 21
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Fallacies
Fallacies of relevance
Ad hominemThe kind
I Ad hominem abuse: attacks a person’s age, character, ethnicity,personality,...
I guilt by association: attacks the company he or she keepsI Tu quoque: attacks that a person has a double standard.I Vested interest: a proponent is motivated by greed
I Circumstantial ad hominem: a proponent is endorsing conflictingpropositions.
S. Choi (KAIST) Logic and set theory September 9, 2012 15 / 21
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Fallacies
Fallacies of relevance
Ad hominemThe kind
I Ad hominem abuse: attacks a person’s age, character, ethnicity,personality,...
I guilt by association: attacks the company he or she keepsI Tu quoque: attacks that a person has a double standard.I Vested interest: a proponent is motivated by greedI Circumstantial ad hominem: a proponent is endorsing conflicting
propositions.
S. Choi (KAIST) Logic and set theory September 9, 2012 15 / 21
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Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.
Ad baculum: Apeal to force.Ad verecundiam: Apeal to authorityAd populum: Apeal to the peopleAd misericordiam: Apeal to pityAd ignoratium: Apeal to ignoranceIgnoratio elechi: missing the point.Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
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Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.Ad baculum: Apeal to force.
Ad verecundiam: Apeal to authorityAd populum: Apeal to the peopleAd misericordiam: Apeal to pityAd ignoratium: Apeal to ignoranceIgnoratio elechi: missing the point.Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
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Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.Ad baculum: Apeal to force.Ad verecundiam: Apeal to authority
Ad populum: Apeal to the peopleAd misericordiam: Apeal to pityAd ignoratium: Apeal to ignoranceIgnoratio elechi: missing the point.Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
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Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.Ad baculum: Apeal to force.Ad verecundiam: Apeal to authorityAd populum: Apeal to the people
Ad misericordiam: Apeal to pityAd ignoratium: Apeal to ignoranceIgnoratio elechi: missing the point.Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
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Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.Ad baculum: Apeal to force.Ad verecundiam: Apeal to authorityAd populum: Apeal to the peopleAd misericordiam: Apeal to pity
Ad ignoratium: Apeal to ignoranceIgnoratio elechi: missing the point.Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
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Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.Ad baculum: Apeal to force.Ad verecundiam: Apeal to authorityAd populum: Apeal to the peopleAd misericordiam: Apeal to pityAd ignoratium: Apeal to ignorance
Ignoratio elechi: missing the point.Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
![Page 100: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/100.jpg)
Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.Ad baculum: Apeal to force.Ad verecundiam: Apeal to authorityAd populum: Apeal to the peopleAd misericordiam: Apeal to pityAd ignoratium: Apeal to ignoranceIgnoratio elechi: missing the point.
Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
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Fallacies
Fallacies of relevance II
Straw man argument: refutes a claim by confusing with lessplausible claim.Ad baculum: Apeal to force.Ad verecundiam: Apeal to authorityAd populum: Apeal to the peopleAd misericordiam: Apeal to pityAd ignoratium: Apeal to ignoranceIgnoratio elechi: missing the point.Red herring: tangential matter to divert attention.
S. Choi (KAIST) Logic and set theory September 9, 2012 16 / 21
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Fallacies
Fallacies of relevance: examples
Teachers are opposing teaching evaluations. They will livecomfortably if there are no teaching evaluations. Therefore, wemust implement teaching evaluations.
The minister of education said that there will be no collegeenterance exams in five years. I am going to college 5 years later.Therefore, I don’t have to study.Since the father of former president ZZZ is a fraudulent person,we cannot trust ZZZ.(These are used often by political partyspokesmen/spokeswomen. )
S. Choi (KAIST) Logic and set theory September 9, 2012 17 / 21
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Fallacies
Fallacies of relevance: examples
Teachers are opposing teaching evaluations. They will livecomfortably if there are no teaching evaluations. Therefore, wemust implement teaching evaluations.The minister of education said that there will be no collegeenterance exams in five years. I am going to college 5 years later.Therefore, I don’t have to study.
Since the father of former president ZZZ is a fraudulent person,we cannot trust ZZZ.(These are used often by political partyspokesmen/spokeswomen. )
S. Choi (KAIST) Logic and set theory September 9, 2012 17 / 21
![Page 104: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/104.jpg)
Fallacies
Fallacies of relevance: examples
Teachers are opposing teaching evaluations. They will livecomfortably if there are no teaching evaluations. Therefore, wemust implement teaching evaluations.The minister of education said that there will be no collegeenterance exams in five years. I am going to college 5 years later.Therefore, I don’t have to study.Since the father of former president ZZZ is a fraudulent person,we cannot trust ZZZ.
(These are used often by political partyspokesmen/spokeswomen. )
S. Choi (KAIST) Logic and set theory September 9, 2012 17 / 21
![Page 105: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/105.jpg)
Fallacies
Fallacies of relevance: examples
Teachers are opposing teaching evaluations. They will livecomfortably if there are no teaching evaluations. Therefore, wemust implement teaching evaluations.The minister of education said that there will be no collegeenterance exams in five years. I am going to college 5 years later.Therefore, I don’t have to study.Since the father of former president ZZZ is a fraudulent person,we cannot trust ZZZ.(These are used often by political partyspokesmen/spokeswomen. )
S. Choi (KAIST) Logic and set theory September 9, 2012 17 / 21
![Page 106: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/106.jpg)
Fallacies
Circular reasoning
Circular reasoning: the argument assume the conclusion
I Question begging epithets: phrases that prejudice discussion"When did you stop cheating on your exams?".
I Complex question: question tricks people into the desiredconclusion
I These are more subtle. (Confucius scholars often. Such and suchmen are big and big persons do so and so...)
S. Choi (KAIST) Logic and set theory September 9, 2012 18 / 21
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Fallacies
Circular reasoning
Circular reasoning: the argument assume the conclusionI Question begging epithets: phrases that prejudice discussion
"When did you stop cheating on your exams?".
I Complex question: question tricks people into the desiredconclusion
I These are more subtle. (Confucius scholars often. Such and suchmen are big and big persons do so and so...)
S. Choi (KAIST) Logic and set theory September 9, 2012 18 / 21
![Page 108: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/108.jpg)
Fallacies
Circular reasoning
Circular reasoning: the argument assume the conclusionI Question begging epithets: phrases that prejudice discussion
"When did you stop cheating on your exams?".I Complex question: question tricks people into the desired
conclusion
I These are more subtle. (Confucius scholars often. Such and suchmen are big and big persons do so and so...)
S. Choi (KAIST) Logic and set theory September 9, 2012 18 / 21
![Page 109: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/109.jpg)
Fallacies
Circular reasoning
Circular reasoning: the argument assume the conclusionI Question begging epithets: phrases that prejudice discussion
"When did you stop cheating on your exams?".I Complex question: question tricks people into the desired
conclusionI These are more subtle. (Confucius scholars often. Such and such
men are big and big persons do so and so...)
S. Choi (KAIST) Logic and set theory September 9, 2012 18 / 21
![Page 110: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/110.jpg)
Fallacies
Semantic fallacies
Ambiguity (equivocation): multiple meaning
Amphiboly: ambiguity in the level of sentence structures.Vagueness: indistinctiveness of words
I doublethink: every sentence cancels outs its predecessor and itssuccessor. Orwell’s 1984."War is Peace, Freedom is Slavery, and Ignorance is Strength"
I Accent; generate multiple interpretations.
S. Choi (KAIST) Logic and set theory September 9, 2012 19 / 21
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Fallacies
Semantic fallacies
Ambiguity (equivocation): multiple meaningAmphiboly: ambiguity in the level of sentence structures.
Vagueness: indistinctiveness of words
I doublethink: every sentence cancels outs its predecessor and itssuccessor. Orwell’s 1984."War is Peace, Freedom is Slavery, and Ignorance is Strength"
I Accent; generate multiple interpretations.
S. Choi (KAIST) Logic and set theory September 9, 2012 19 / 21
![Page 112: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/112.jpg)
Fallacies
Semantic fallacies
Ambiguity (equivocation): multiple meaningAmphiboly: ambiguity in the level of sentence structures.Vagueness: indistinctiveness of words
I doublethink: every sentence cancels outs its predecessor and itssuccessor. Orwell’s 1984."War is Peace, Freedom is Slavery, and Ignorance is Strength"
I Accent; generate multiple interpretations.
S. Choi (KAIST) Logic and set theory September 9, 2012 19 / 21
![Page 113: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/113.jpg)
Fallacies
Semantic fallacies
Ambiguity (equivocation): multiple meaningAmphiboly: ambiguity in the level of sentence structures.Vagueness: indistinctiveness of words
I doublethink: every sentence cancels outs its predecessor and itssuccessor. Orwell’s 1984."War is Peace, Freedom is Slavery, and Ignorance is Strength"
I Accent; generate multiple interpretations.
S. Choi (KAIST) Logic and set theory September 9, 2012 19 / 21
![Page 114: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/114.jpg)
Fallacies
Semantic fallacies
Ambiguity (equivocation): multiple meaningAmphiboly: ambiguity in the level of sentence structures.Vagueness: indistinctiveness of words
I doublethink: every sentence cancels outs its predecessor and itssuccessor. Orwell’s 1984."War is Peace, Freedom is Slavery, and Ignorance is Strength"
I Accent; generate multiple interpretations.
S. Choi (KAIST) Logic and set theory September 9, 2012 19 / 21
![Page 115: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/115.jpg)
Fallacies
Inductive fallacies
Hasty generalization: generalizing from an insufficient number ofcases
Faulty analogy:Gambler’s fallacy: something will keep being so.False cause : confusing cause.
S. Choi (KAIST) Logic and set theory September 9, 2012 20 / 21
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Fallacies
Inductive fallacies
Hasty generalization: generalizing from an insufficient number ofcasesFaulty analogy:
Gambler’s fallacy: something will keep being so.False cause : confusing cause.
S. Choi (KAIST) Logic and set theory September 9, 2012 20 / 21
![Page 117: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/117.jpg)
Fallacies
Inductive fallacies
Hasty generalization: generalizing from an insufficient number ofcasesFaulty analogy:Gambler’s fallacy: something will keep being so.
False cause : confusing cause.
S. Choi (KAIST) Logic and set theory September 9, 2012 20 / 21
![Page 118: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/118.jpg)
Fallacies
Inductive fallacies
Hasty generalization: generalizing from an insufficient number ofcasesFaulty analogy:Gambler’s fallacy: something will keep being so.False cause : confusing cause.
S. Choi (KAIST) Logic and set theory September 9, 2012 20 / 21
![Page 119: Lecture 2: Arguments S. Choi - KAIST 수리과학과mathsci.kaist.ac.kr/~schoi/Logiclec2.pdf · Logic and the set theory Lecture 2: Arguments S. Choi Department of Mathematical Science](https://reader034.fdocuments.in/reader034/viewer/2022050219/5f6533928b3f1341d540416e/html5/thumbnails/119.jpg)
Fallacies
Formal fallacies: logical mistakes
Fallacies of false premise (slipperly slope also)
S. Choi (KAIST) Logic and set theory September 9, 2012 21 / 21
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Fallacies
Formal fallacies: logical mistakesFallacies of false premise (slipperly slope also)
S. Choi (KAIST) Logic and set theory September 9, 2012 21 / 21