Are These The Top 11 Unsolved Problems in Economics.docx

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Are These The Top 11 Unsolved Problems in Economics?

One List of Unsolved Economics Problems

By Mike Mott

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Economics

!e"nition of Economics

Mcroeconomics

#orld Economic $eport

Economy

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Ob5ective Ans%er

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Thro-*h (ri* 4e%mrk) st-mbled -pon list on #ikipediof 'nsolved

(roblems in )comomics& Like lot of the mteril on #ikipedi: there re no

cittions or indiction of %here the mteril comes from: %ho the -thors re nd

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Tht bein* sid: ) do "nd the ide of s-ch list fscintin* nd ) ppl-d these

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To sy ;-estion is $edirected from Unsolved problems in economics

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observtion&

Contents

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1 Behviorl economics

C 3inncil economics

D )nterntionl economics

$eferences

0 3-rther redin*

Behviorl economicsedit

Main article: Behavioral economics

Revealed pre*erenceF !oes $eveled Preference theory tr-ly revel

cons-mer preference %hen the cons-mer is ble to ord ll of thevilble options? 3or e@mple: if cons-mer is confronted %ith three
http://googleads.g.doubleclick.net/aclk?sa=L&ai=Cd27edEhpU52VBeGZiga15YHIB_Dh-oUH6OTXsLQB-IWFngsQBCCf_dggKAVQ6Kfmi_r_____AWA5yAEBqQLjcoyAm2C3PqgDAaoElAFP0GrA4At_M5teZidI2zfJteEnksDXoWYbanoDtpzhqdW0OlbQHzPCHVxdiZ-pDlLedX_fvAgALkKVXCuQK6ClsOm7uk-_yFvuo0vEZ1bQUOyaPFu5J_I4Ru0Z2d6HTKlGraPmUPiUVZoZsIO7qpusYMolNqIcR_90SeREiW9gFrgNvzJfxaEn6XV1eY26QRKeJ_GWgAeQxd02&num=4&sig=AOD64_00M1IcJhhes6AgFPwDlw2s7baNQA&client=ca-aj-about-premium&adurl=http://www.rencontres-cougars.nethttp://googleads.g.doubleclick.net/aclk?sa=L&ai=Cd27edEhpU52VBeGZiga15YHIB_Dh-oUH6OTXsLQB-IWFngsQBCCf_dggKAVQ6Kfmi_r_____AWA5yAEBqQLjcoyAm2C3PqgDAaoElAFP0GrA4At_M5teZidI2zfJteEnksDXoWYbanoDtpzhqdW0OlbQHzPCHVxdiZ-pDlLedX_fvAgALkKVXCuQK6ClsOm7uk-_yFvuo0vEZ1bQUOyaPFu5J_I4Ru0Z2d6HTKlGraPmUPiUVZoZsIO7qpusYMolNqIcR_90SeREiW9gFrgNvzJfxaEn6XV1eY26QRKeJ_GWgAeQxd02&num=4&sig=AOD64_00M1IcJhhes6AgFPwDlw2s7baNQA&client=ca-aj-about-premium&adurl=http://www.rencontres-cougars.nethttp://www.googleadservices.com/pagead/aclk?sa=L&ai=CKZSRdEhpU52VBeGZiga15YHIB7WA-bwDzemqgmDAjbcBEAUgn_3YICgFUITxtvL4_____wFgOaABk9ag7wPIAQGpAuNyjICbYLc-qAMBqgSRAU_QevLhC34zm15mJ0jbN8m14SeSwNehZhtqegO2nOGp1bQ6VtAfM8IdXF2Jn6kOUt51f9-8CAAuQpVcK5AroKWw6bu6T7_IW-6jS8RnVtBQ7Jo8W7kn8jhG7RnZ3odMqUato-ZQ-JxVOwtJF4UQ2fxgQ8nAKRq2_PK458B8bHDjux1KMV8woiccdHWZiUdJwzmIBgGAB9Wp3xA&num=5&cid=5GiiWHJyq4hjVqY9R6PDw1b6&sig=AOD64_1QZnc5d1djzY2VBILiV-cXI-IHvg&client=ca-aj-about-premium&adurl=http://www.afaspersonal.nlhttp://www.googleadservices.com/pagead/aclk?sa=L&ai=CKZSRdEhpU52VBeGZiga15YHIB7WA-bwDzemqgmDAjbcBEAUgn_3YICgFUITxtvL4_____wFgOaABk9ag7wPIAQGpAuNyjICbYLc-qAMBqgSRAU_QevLhC34zm15mJ0jbN8m14SeSwNehZhtqegO2nOGp1bQ6VtAfM8IdXF2Jn6kOUt51f9-8CAAuQpVcK5AroKWw6bu6T7_IW-6jS8RnVtBQ7Jo8W7kn8jhG7RnZ3odMqUato-ZQ-JxVOwtJF4UQ2fxgQ8nAKRq2_PK458B8bHDjux1KMV8woiccdHWZiUdJwzmIBgGAB9Wp3xA&num=5&cid=5GiiWHJyq4hjVqY9R6PDw1b6&sig=AOD64_1QZnc5d1djzY2VBILiV-cXI-IHvg&client=ca-aj-about-premium&adurl=http://www.afaspersonal.nlhttp://newmarksdoor.typepad.com/mainblog/2008/08/two-wikipedia-l.htmlhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economicshttp://www.vanderbilt.edu/AEA/http://en.wikipedia.org/w/index.php?title=Unsolved_problems_in_economics&redirect=nohttp://en.wikipedia.org/wiki/Unsolved_problems_in_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Behavioral_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Financial_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#International_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Referenceshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Further_readinghttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_economics&action=edit&section=1http://en.wikipedia.org/wiki/Behavioral_economicshttp://en.wikipedia.org/wiki/Revealed_preferencehttp://googleads.g.doubleclick.net/aclk?sa=L&ai=Cd27edEhpU52VBeGZiga15YHIB_Dh-oUH6OTXsLQB-IWFngsQBCCf_dggKAVQ6Kfmi_r_____AWA5yAEBqQLjcoyAm2C3PqgDAaoElAFP0GrA4At_M5teZidI2zfJteEnksDXoWYbanoDtpzhqdW0OlbQHzPCHVxdiZ-pDlLedX_fvAgALkKVXCuQK6ClsOm7uk-_yFvuo0vEZ1bQUOyaPFu5J_I4Ru0Z2d6HTKlGraPmUPiUVZoZsIO7qpusYMolNqIcR_90SeREiW9gFrgNvzJfxaEn6XV1eY26QRKeJ_GWgAeQxd02&num=4&sig=AOD64_00M1IcJhhes6AgFPwDlw2s7baNQA&client=ca-aj-about-premium&adurl=http://www.rencontres-cougars.nethttp://googleads.g.doubleclick.net/aclk?sa=L&ai=Cd27edEhpU52VBeGZiga15YHIB_Dh-oUH6OTXsLQB-IWFngsQBCCf_dggKAVQ6Kfmi_r_____AWA5yAEBqQLjcoyAm2C3PqgDAaoElAFP0GrA4At_M5teZidI2zfJteEnksDXoWYbanoDtpzhqdW0OlbQHzPCHVxdiZ-pDlLedX_fvAgALkKVXCuQK6ClsOm7uk-_yFvuo0vEZ1bQUOyaPFu5J_I4Ru0Z2d6HTKlGraPmUPiUVZoZsIO7qpusYMolNqIcR_90SeREiW9gFrgNvzJfxaEn6XV1eY26QRKeJ_GWgAeQxd02&num=4&sig=AOD64_00M1IcJhhes6AgFPwDlw2s7baNQA&client=ca-aj-about-premium&adurl=http://www.rencontres-cougars.nethttp://www.googleadservices.com/pagead/aclk?sa=L&ai=CKZSRdEhpU52VBeGZiga15YHIB7WA-bwDzemqgmDAjbcBEAUgn_3YICgFUITxtvL4_____wFgOaABk9ag7wPIAQGpAuNyjICbYLc-qAMBqgSRAU_QevLhC34zm15mJ0jbN8m14SeSwNehZhtqegO2nOGp1bQ6VtAfM8IdXF2Jn6kOUt51f9-8CAAuQpVcK5AroKWw6bu6T7_IW-6jS8RnVtBQ7Jo8W7kn8jhG7RnZ3odMqUato-ZQ-JxVOwtJF4UQ2fxgQ8nAKRq2_PK458B8bHDjux1KMV8woiccdHWZiUdJwzmIBgGAB9Wp3xA&num=5&cid=5GiiWHJyq4hjVqY9R6PDw1b6&sig=AOD64_1QZnc5d1djzY2VBILiV-cXI-IHvg&client=ca-aj-about-premium&adurl=http://www.afaspersonal.nlhttp://www.googleadservices.com/pagead/aclk?sa=L&ai=CKZSRdEhpU52VBeGZiga15YHIB7WA-bwDzemqgmDAjbcBEAUgn_3YICgFUITxtvL4_____wFgOaABk9ag7wPIAQGpAuNyjICbYLc-qAMBqgSRAU_QevLhC34zm15mJ0jbN8m14SeSwNehZhtqegO2nOGp1bQ6VtAfM8IdXF2Jn6kOUt51f9-8CAAuQpVcK5AroKWw6bu6T7_IW-6jS8RnVtBQ7Jo8W7kn8jhG7RnZ3odMqUato-ZQ-JxVOwtJF4UQ2fxgQ8nAKRq2_PK458B8bHDjux1KMV8woiccdHWZiUdJwzmIBgGAB9Wp3xA&num=5&cid=5GiiWHJyq4hjVqY9R6PDw1b6&sig=AOD64_1QZnc5d1djzY2VBILiV-cXI-IHvg&client=ca-aj-about-premium&adurl=http://www.afaspersonal.nlhttp://newmarksdoor.typepad.com/mainblog/2008/08/two-wikipedia-l.htmlhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economicshttp://www.vanderbilt.edu/AEA/http://en.wikipedia.org/w/index.php?title=Unsolved_problems_in_economics&redirect=nohttp://en.wikipedia.org/wiki/Unsolved_problems_in_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Behavioral_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Financial_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#International_economicshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Referenceshttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#Further_readinghttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_economics&action=edit&section=1http://en.wikipedia.org/wiki/Behavioral_economicshttp://en.wikipedia.org/wiki/Revealed_preference


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*oods nd they cn ord to p-rchse ll three >A: B: nd ( nd they

choose to "rst p-rchse A: then (: nd then B ' does this s-**est tht the

cons-mer preference for the *oods is A G ( G B? The debte rests on the

fct tht since the cons-mer cn ord ll three *oods nd does not need

to mke preferentil decision: does the order of cons-mption reHect ny

preference?1

TItonnementF The ct of tItonnement plys key role in the form-ltion

of *enerl e;-ilibri-m theory& The clim is tht if n initil contrct does

not led to n e;-ilibri-m: they re ended nd ne% contrcts re

form-lted& )f the initil contrct is not clled o: it %ill likely led to

dierent price system: dependin* on the de*ree of error in the ori*inl

process& The ;-estion is %hether s-ccessive re'contrctin* contin-es %ith

the prties for*ettin* the previo-sly plnned positions tken or %hether

the prties en**e in form of tItonnement to chieve optimlity? 1.ee

AlsoF +ill climbin*nd #lrsin -ction

'nifed "odels o* #uman +iasesF 4eoclssicl economics hs

concentrted on the development of models tht reHect n ideli6ed

economic *ent: sometimes referred to s +omo economic-s: s %y of

st-dyin* economics& )n the period spnnin* the 1JKs to the 1JJs:

reserch be*n to emer*e tht s-**ested tht people %ere s-b5ect to

co*nitive bises s-ch s the frmin* eect: loss version: the *mblers

fllcy: con"rmtion bis: nd mny others& 3-rther: these eects co-ld

prod-ce nomlies s-ch sherd behvioror moment-m

investin*inconsistent %ith economic models tht did not incorporte

h-mn psycholo*icl limittions&C#hile some models hve be*-n to

incl-debo-nded rtionlitynd risk version: s-ch s Prospect Theory:

there still remins to be seen -ni"ed model tht cn mke -sef-l

predictions tht incorportes the entirety of co*nitive bises nd rtionl

limittions in most h-mns&D3-rther: there even e@ists debte s to

%hether it is necessry to incorporte s-ch psycholo*icl limittions into

economic models& #hile some economists insist they re necessry to f-lly

pprecite the comple@ity of the mrket: others still contend tht model

tht incorportes h-mn bises is either -nrelistic or ;-estion its

-sef-lness r*-in* tht model tht doesnt ppro@imte *ents s bein*

perfectly rtionl: %ith the possibility of miniml e@ceptions: is -nlikely tobe s-ccessf-l&D

3inncil economicsedit

Main article: Financial economics

),uit- premium puleF The E;-ity premi-m p-66le is tho-*ht to be one

of the most importnt o-tstndin* ;-estions in neoclssicl economics& 0)t

is fo-nded on the bsis tht over the lst one h-ndred yers or so the

ver*e rel ret-rn to stocks in the U. hs been s-bstntilly hi*her thn

tht of bonds& The p-66le lies in the e@plinin* the c-ses behind this
http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Morgenstern-1http://en.wiktionary.org/wiki/t%C3%A2tonnementhttp://en.wikipedia.org/wiki/General_equilibrium_theoryhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Morgenstern-1http://en.wikipedia.org/wiki/Hill_climbinghttp://en.wikipedia.org/wiki/Walrasian_auctionhttp://en.wikipedia.org/wiki/Homo_economicushttp://en.wikipedia.org/wiki/Framing_effecthttp://en.wikipedia.org/wiki/Loss_aversionhttp://en.wikipedia.org/wiki/Gambler's_fallacyhttp://en.wikipedia.org/wiki/Gambler's_fallacyhttp://en.wikipedia.org/wiki/Confirmation_biashttp://en.wikipedia.org/wiki/Herd_behaviorhttp://en.wikipedia.org/wiki/Momentum_investinghttp://en.wikipedia.org/wiki/Momentum_investinghttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-behavior-2http://en.wikipedia.org/wiki/Bounded_rationalityhttp://en.wikipedia.org/wiki/Risk_aversionhttp://en.wikipedia.org/wiki/Prospect_theoryhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Machina-3http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Machina-3http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-4http://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_economics&action=edit&section=2http://en.wikipedia.org/wiki/Financial_economicshttp://en.wikipedia.org/wiki/Equity_premium_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-5http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Morgenstern-1http://en.wiktionary.org/wiki/t%C3%A2tonnementhttp://en.wikipedia.org/wiki/General_equilibrium_theoryhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Morgenstern-1http://en.wikipedia.org/wiki/Hill_climbinghttp://en.wikipedia.org/wiki/Walrasian_auctionhttp://en.wikipedia.org/wiki/Homo_economicushttp://en.wikipedia.org/wiki/Framing_effecthttp://en.wikipedia.org/wiki/Loss_aversionhttp://en.wikipedia.org/wiki/Gambler's_fallacyhttp://en.wikipedia.org/wiki/Gambler's_fallacyhttp://en.wikipedia.org/wiki/Confirmation_biashttp://en.wikipedia.org/wiki/Herd_behaviorhttp://en.wikipedia.org/wiki/Momentum_investinghttp://en.wikipedia.org/wiki/Momentum_investinghttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-behavior-2http://en.wikipedia.org/wiki/Bounded_rationalityhttp://en.wikipedia.org/wiki/Risk_aversionhttp://en.wikipedia.org/wiki/Prospect_theoryhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Machina-3http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-Machina-3http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-4http://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_economics&action=edit&section=2http://en.wikipedia.org/wiki/Financial_economicshttp://en.wikipedia.org/wiki/Equity_premium_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-5


4/44

e;-ity premi-m& #hile there re n-mber of dierent theories re*rdin*

the p-66le: there still e@ists no de"nitive *reement on its c-se&

/ividend puleF The !ividend p-66le is the empiriclly observed

phenomen tht compnies tht py dividendstend to be re%rded

by investors%ith hi*her vl-tions& At present: there is no e@plntion%idely ccepted by economists&KNJThe Modi*lini'Miller

theorems-**ests tht the p-66le cn >only be e@plined by some

combintion of t@es: bnkr-ptcy costs: mrket ine=ciency >incl-din* tht

d-e to investor psycholo*y: nd symmetric informtion&

Improved +lack0cholesand +inomial Options (ricingmodelsF The

Blck.choles model nd the more *enerl binomil options pricin*

models re collection of e;-tions tht seek to model nd

price e;-itynd cll options& #hile the models re %idely -sed: they hve

mny si*ni"cnt limittions&1(hief mon* them re the models inbility

to cco-nt for historicl mrket movements 11nd their fre;-ent

overpricin* of options: %ith the overpricin* incresin* %ith the time to

mt-rity&1CThe development of model tht cn properly cco-nt for the

pricin* of cll options on n sset %ith stochsticvoltilityis considered n

open problem in "nncil economics&1C

)nterntionl economicsedit

Main article: International economics

#ome bias in trade puleF The home bis in trde p-66le is n

empiricl observtion tht even %hen fctors s-ch s economic si6e of

trdin* prtners nd the distnce bet%een them re considered: trde

bet%een re*ions %ithin *iven co-ntry is s-bstntilly *reter thn trde

bet%een re*ions in dierent co-ntries: even %hen there re no s-bstntil

le*l brriers& There is c-rrently no frme%ork to e@plin this observtion&1D1

),uit- home bias puleF This p-66le concerns the observtion tht

individ-ls nd instit-tions in mny co-ntries only hold modest mo-nts of

forei*n e;-ity: despite the bility for vst diversi"ction of their portfolios

in the *lobl economy&1D#hile some e@plntions do e@ist: s-ch s thtlocl individ-ls nd "rms hve *reter ccess to informtion bo-t locl

"rms nd economic conditions: these e@plntions re not ccepted by the

m5ority of economists nd hve been mostly ref-ted& 10

+ackus12ehoe12-dland puleF The Bck-s'ehoe'ydlnd cons-mption

correltion p-66le is the empiricl observtion tht cons-mption is m-ch

less correlted cross co-ntries thn o-tp-t&1D.tndrd economic theory

s-**ests tht co-ntry'speci"c o-tp-t risks sho-ld be collective nd

domestic cons-mption *ro%th sho-ld not depend stron*ly on co-ntry'

speci"c income shocks& Th-s: %e sho-ld not see the observtion tht
http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-6http://en.wikipedia.org/wiki/Dividend_puzzlehttp://en.wikipedia.org/wiki/Dividendhttp://en.wikipedia.org/wiki/Investorhttp://en.wikipedia.org/wiki/Valuation_(finance)http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-7http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-8http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-9http://en.wikipedia.org/wiki/Modigliani-Miller_theoremhttp://en.wikipedia.org/wiki/Modigliani-Miller_theoremhttp://en.wikipedia.org/wiki/Behavioral_economicshttp://en.wikipedia.org/wiki/Information_asymmetryhttp://en.wikipedia.org/wiki/Black%E2%80%93Scholeshttp://en.wikipedia.org/wiki/Binomial_options_pricing_modelhttp://en.wikipedia.org/wiki/Private_equityhttp://en.wikipedia.org/wiki/Call_optionhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-10http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-11http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-white-12http://en.wikipedia.org/wiki/Stochastichttp://en.wikipedia.org/wiki/Volatility_(finance)http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-white-12http://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_economics&action=edit&section=3http://en.wikipedia.org/wiki/International_economicshttp://en.wikipedia.org/wiki/Home_bias_in_trade_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-ObsfeldPuzzle-13http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-14http://en.wikipedia.org/wiki/Equity_home_bias_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-ObsfeldPuzzle-13http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-15http://en.wikipedia.org/wiki/Backus-Kehoe-Kydland_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-ObsfeldPuzzle-13http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-6http://en.wikipedia.org/wiki/Dividend_puzzlehttp://en.wikipedia.org/wiki/Dividendhttp://en.wikipedia.org/wiki/Investorhttp://en.wikipedia.org/wiki/Valuation_(finance)http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-7http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-8http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-9http://en.wikipedia.org/wiki/Modigliani-Miller_theoremhttp://en.wikipedia.org/wiki/Modigliani-Miller_theoremhttp://en.wikipedia.org/wiki/Behavioral_economicshttp://en.wikipedia.org/wiki/Information_asymmetryhttp://en.wikipedia.org/wiki/Black%E2%80%93Scholeshttp://en.wikipedia.org/wiki/Binomial_options_pricing_modelhttp://en.wikipedia.org/wiki/Private_equityhttp://en.wikipedia.org/wiki/Call_optionhttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-10http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-11http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-white-12http://en.wikipedia.org/wiki/Stochastichttp://en.wikipedia.org/wiki/Volatility_(finance)http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-white-12http://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_economics&action=edit&section=3http://en.wikipedia.org/wiki/International_economicshttp://en.wikipedia.org/wiki/Home_bias_in_trade_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-ObsfeldPuzzle-13http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-14http://en.wikipedia.org/wiki/Equity_home_bias_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-ObsfeldPuzzle-13http://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-15http://en.wikipedia.org/wiki/Backus-Kehoe-Kydland_puzzlehttp://en.wikipedia.org/wiki/Unsolved_problems_in_economics#cite_note-ObsfeldPuzzle-13


5/44

cons-mption is m-ch less correlted cross co-ntries thn o-tp-tQ nd yet

%e do&11K

!eldstein1#orioka puleF The 3eldstein'+oriok p-66le ori*intes from

n rticle in the 1JNs tht fo-nd tht mon* OE(!co-ntries: ver*es of

lon*'term ntionl svin*s rtes re hi*hly correlted %ith similrver*es of domestic investment rtes& .tndrd economic theory

s-**ests tht in reltively open interntionl "nncil mrkets: the svin*s

of ny co-ntry %o-ld Ho% to co-ntries %ith the most prod-ctive

investment opport-nitiesQ hence: svin* rtes nd domestic investment

rtes %o-ld be -ncorrelted: contrry to the empiricl evidence s-**ested

by Mrtin 3eldsteinnd (hrles +oriok& #hile n-mero-s rticles re*rdin*

the p-66le hve been p-blished: none of the e@plntions p-t forth hve

de;-te empiricl s-pport&1D

((( (uleF The PPP p-66le: considered one of the t%o rel e@chn*e rte

p-66les: concerns the observtion tht rel e@chn*e rtesre both

more voltilend more persistent thn most models %o-ld s-**est& The

only cler %y to -nderstnd this voltility %o-ld be to ssi*n s-bstntil

roles to monetry nd "nncil shocks& +o%ever: if shocks ply s-ch

lr*e role the chllen*e becomes "ndin* %ht so-rce: if one even e@ists:

of nominl ri*iditytht co-ld be so persistent to e@plin the lon*'term

prolon*ed nt-re of rel e@chn*e rte devitions&1D

The )3change Rate /isconnect (uleF The e@chn*e rte disconnect

p-66le: lso one of the so'clled rel e@chn*e rte p-66les: concerns the

%ek short'term feedbck link bet%een e@chn*e rtes nd the rest of theeconomy& )n most economies: the e@chn*e rte is the most importnt

reltive price: so it is s-rprisin*: nd th-s fr -ne@plined entirely: tht the

correltions re not stron*er&1D

$eferencesedit

1& RS-mp -p toFabOskr Mor*enstern>1JKC&


6/44

& 5ump up64ryn $& ocherlkot>Mrch 1JJ& S-ly CN: Is !he (ivi)en) Pu**le

olve) ,

N& 5ump up6Prst: +enriette >Mrch C: Investor s-cholo'-: a

&ehavioral exlanation of six .nance u**les

J& 5ump up6Bernheim: B& !o-*ls >1JJ1&


7/44

Oskr Mor*enstern>1JKC&


8/44

Ethicists

Lo*icins

Metphysicins

.ocil nd politicl philosophers

Traditions

Anlytic

(ontinentl

Estern

)slmic

Pltonic

.cholstic

(eriods

Ancient

Medievl

Modern

(ontemporry

=iterature

Aesthetics

Epistemolo*y

Ethics

Lo*ic

Metphysics

Politicl philosophy

+ranches

Aesthetics

Epistemolo*y

Ethics
http://en.wikipedia.org/wiki/List_of_ethicistshttp://en.wikipedia.org/wiki/List_of_logicianshttp://en.wikipedia.org/wiki/List_of_metaphysicianshttp://en.wikipedia.org/wiki/List_of_social_and_political_philosophershttp://en.wikipedia.org/wiki/Category:Philosophical_traditionshttp://en.wikipedia.org/wiki/Analytic_philosophyhttp://en.wikipedia.org/wiki/Continental_philosophyhttp://en.wikipedia.org/wiki/Eastern_philosophyhttp://en.wikipedia.org/wiki/Islamic_philosophyhttp://en.wikipedia.org/wiki/Platonismhttp://en.wikipedia.org/wiki/Scholasticismhttp://en.wikipedia.org/wiki/Category:Philosophy_by_periodhttp://en.wikipedia.org/wiki/Ancient_philosophyhttp://en.wikipedia.org/wiki/Medieval_philosophyhttp://en.wikipedia.org/wiki/Modern_philosophyhttp://en.wikipedia.org/wiki/Contemporary_philosophyhttp://en.wikipedia.org/wiki/Category:Philosophical_literaturehttp://en.wikipedia.org/wiki/Category:Aesthetics_literaturehttp://en.wikipedia.org/wiki/Category:Epistemology_literaturehttp://en.wikipedia.org/wiki/Category:Ethics_literaturehttp://en.wikipedia.org/wiki/Category:Logic_literaturehttp://en.wikipedia.org/wiki/Category:Metaphysics_literaturehttp://en.wikipedia.org/wiki/Category:Political_philosophy_literaturehttp://en.wikipedia.org/wiki/Category:Branches_of_philosophyhttp://en.wikipedia.org/wiki/Aestheticshttp://en.wikipedia.org/wiki/Epistemologyhttp://en.wikipedia.org/wiki/Ethicshttp://en.wikipedia.org/wiki/List_of_ethicistshttp://en.wikipedia.org/wiki/List_of_logicianshttp://en.wikipedia.org/wiki/List_of_metaphysicianshttp://en.wikipedia.org/wiki/List_of_social_and_political_philosophershttp://en.wikipedia.org/wiki/Category:Philosophical_traditionshttp://en.wikipedia.org/wiki/Analytic_philosophyhttp://en.wikipedia.org/wiki/Continental_philosophyhttp://en.wikipedia.org/wiki/Eastern_philosophyhttp://en.wikipedia.org/wiki/Islamic_philosophyhttp://en.wikipedia.org/wiki/Platonismhttp://en.wikipedia.org/wiki/Scholasticismhttp://en.wikipedia.org/wiki/Category:Philosophy_by_periodhttp://en.wikipedia.org/wiki/Ancient_philosophyhttp://en.wikipedia.org/wiki/Medieval_philosophyhttp://en.wikipedia.org/wiki/Modern_philosophyhttp://en.wikipedia.org/wiki/Contemporary_philosophyhttp://en.wikipedia.org/wiki/Category:Philosophical_literaturehttp://en.wikipedia.org/wiki/Category:Aesthetics_literaturehttp://en.wikipedia.org/wiki/Category:Epistemology_literaturehttp://en.wikipedia.org/wiki/Category:Ethics_literaturehttp://en.wikipedia.org/wiki/Category:Logic_literaturehttp://en.wikipedia.org/wiki/Category:Metaphysics_literaturehttp://en.wikipedia.org/wiki/Category:Political_philosophy_literaturehttp://en.wikipedia.org/wiki/Category:Branches_of_philosophyhttp://en.wikipedia.org/wiki/Aestheticshttp://en.wikipedia.org/wiki/Epistemologyhttp://en.wikipedia.org/wiki/Ethics


9/44

Lo*ic

Metphysics

Politicl philosophy

.ocil philosophy

=ists

)nde@

O-tline

,ers

(roblems

P-blictions

Theories

8lossry

Philosophers

(hilosoph- portal

v

t

e

This is list of some of the m5or unsolved problemsin philosoph-& (lerly:

-nsolved philosophicl problems e@ist in the ly sense >e&*&


10/44

C Epistemolo*y

o C&1 8ettier problem

o C&C )n"nite re*ression

o C&D Molyne-@ problem

o C& MWnchh-sen trilemm

o C&0 X-li

D Ethics

o D&1 Morl l-ck

Philosophy of ln*-*e

o &1 Moores disbelief

0 Philosophy of mthemtics

o 0&1 Mthemticl ob5ects

Metphysics

o &1 .orites prdo@

o &C (o-nterfct-ls

o &D Mteril impliction

K Philosophy of mind

o K&1 Mind'body problem

o K&C (o*nition nd A)

o K&D +rd problem of conscio-sness

N Philosophy of science

o N&1 Problem of ind-ction

o N&C !emrction problem

o N&D $elism

J .ee lso

1 $eferences

Aestheticsedit

)ssentialismedit
http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Epistemologyhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Gettier_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Infinite_regressionhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Molyneux_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#M.C3.BCnchhausen_trilemmahttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Qualiahttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Ethicshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Moral_luckhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_languagehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Moore.27s_disbeliefhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_mathematicshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Mathematical_objectshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Metaphysicshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Sorites_paradoxhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Counterfactualshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Material_implicationhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_mindhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Mind-body_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Cognition_and_AIhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Hard_problem_of_consciousnesshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_sciencehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Problem_of_inductionhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Demarcation_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Realismhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#See_alsohttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Referenceshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_philosophy&action=edit&section=1http://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_philosophy&action=edit&section=2http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Epistemologyhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Gettier_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Infinite_regressionhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Molyneux_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#M.C3.BCnchhausen_trilemmahttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Qualiahttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Ethicshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Moral_luckhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_languagehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Moore.27s_disbeliefhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_mathematicshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Mathematical_objectshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Metaphysicshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Sorites_paradoxhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Counterfactualshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Material_implicationhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_mindhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Mind-body_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Cognition_and_AIhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Hard_problem_of_consciousnesshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Philosophy_of_sciencehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Problem_of_inductionhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Demarcation_problemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Realismhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#See_alsohttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_philosophy#Referenceshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_philosophy&action=edit&section=1http://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_philosophy&action=edit&section=2


11/44

Epistemolo*yedit

Epistemolo*icl problems re concerned %ith the nt-re: scope nd limittions of

kno%led*e& Epistemolo*ymy lso be described s the st-dy of kno%led*e&

>ettier problemedit

Main article: ;ettier ro&lem

Pltos-**ests: in his !heaetetus< Meno: nd other dilo*-es: tht


12/44

Main article: Mathematical structure

#ht re n-mbers: sets: *ro-ps: points: etc&? Are they rel ob5ects or re they

simply reltionships tht necessrily e@ist in ll str-ct-res? Altho-*h mny

disprte vie%s e@ist re*rdin* %ht mthemticl ob5ect is: the disc-ssion

my be ro-*hly prtitioned into t%o opposin* schools of tho-*htF pltonism:%hich sserts tht mthemticl ob5ects re rel: nd formlism: %hich sserts

tht mthemticl ob5ects re merely forml constr-ctions& This disp-te my be

better -nderstood %hen considerin* speci"c e@mples: s-ch s the


13/44

o C&K !iscrete *eometry

o C&N !ynmicl system

o C&J 8rph theory

o C&1 8ro-p theory

o C&11 Model theory

o C&1C 4-mber theory >*enerl

o C&1D 4-mber theory >prime n-mbers

o C&1 Prtil dierentil e;-tions

o C&10 $msey theory

o C&1 .et theory

o C&1K Other

D Problems solved recently

.ee lso

0 $eferences

o 0&1 Books disc-ssin* -nsolved problems

o 0&C Books disc-ssin* recently solved problems

E@ternl links

Millenni-m Pri6e Problemsedit

Of the seven Millenni-m Pri6e Problemsset by the (ly Mthemtics )nstit-te: si@

hve yet to be solvedF

P vers-s 4P

+od*e con5ect-re

$iemnn hypothesis

,n*Mills e@istence nd mss *p

4vier.tokes e@istence nd smoothness

Birch nd .%innerton'!yer con5ect-re&

The seventh problem: the PoincrZ con5ect-re: hs been solved& The smooth fo-r'

dimensionl PoincrZ con5ect-re is still -nsolved& Tht is: cn fo-r'dimensionl

topolo*icl sphere hve t%o or more ine;-ivlent smooth str-ct-res?
http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Discrete_geometryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Dynamical_systemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Graph_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Group_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Model_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Number_theory_.28general.29http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Number_theory_.28prime_numbers.29http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Partial_differential_equationshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Ramsey_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Set_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Otherhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Problems_solved_recentlyhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#See_alsohttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Referenceshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Books_discussing_unsolved_problemshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Books_discussing_recently_solved_problemshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#External_linkshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=1http://en.wikipedia.org/wiki/Millennium_Prize_Problemshttp://en.wikipedia.org/wiki/Clay_Mathematics_Institutehttp://en.wikipedia.org/wiki/P_%3D_NP_problemhttp://en.wikipedia.org/wiki/Hodge_conjecturehttp://en.wikipedia.org/wiki/Riemann_hypothesishttp://en.wikipedia.org/wiki/Yang%E2%80%93Mills_existence_and_mass_gaphttp://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_existence_and_smoothnesshttp://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecturehttp://en.wikipedia.org/wiki/Poincar%C3%A9_conjecturehttp://en.wikipedia.org/wiki/Smooth_structurehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Discrete_geometryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Dynamical_systemhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Graph_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Group_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Model_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Number_theory_.28general.29http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Number_theory_.28prime_numbers.29http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Partial_differential_equationshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Ramsey_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Set_theoryhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Otherhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Problems_solved_recentlyhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#See_alsohttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Referenceshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Books_discussing_unsolved_problemshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#Books_discussing_recently_solved_problemshttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#External_linkshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=1http://en.wikipedia.org/wiki/Millennium_Prize_Problemshttp://en.wikipedia.org/wiki/Clay_Mathematics_Institutehttp://en.wikipedia.org/wiki/P_%3D_NP_problemhttp://en.wikipedia.org/wiki/Hodge_conjecturehttp://en.wikipedia.org/wiki/Riemann_hypothesishttp://en.wikipedia.org/wiki/Yang%E2%80%93Mills_existence_and_mass_gaphttp://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_existence_and_smoothnesshttp://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecturehttp://en.wikipedia.org/wiki/Poincar%C3%A9_conjecturehttp://en.wikipedia.org/wiki/Smooth_structure


14/44

Other still'-nsolved problemsedit

Additive number theor-edit

Bels con5ect-re

8oldbchs con5ect-re>Proof climed for %ek versionin C1D

The vl-es of '>% nd ;>% in #rin*s problem

(ollt6 con5ect-re>Dn[ 1 con5ect-re

Lnder: Prkin: nd .elfrid*e con5ect-re

!iophntine ;-int-ples

8ilbreths con5ect-re

Erd\s con5ect-re on rithmetic pro*ressions

Erd\sT-r]n con5ect-re on dditive bses

Pollock octhedrl n-mbers con5ect-re

Algebraedit

+ilberts si@teenth problem

+dmrd con5ect-re

E@istence of perfect c-boids

Algebraic geometr-edit

AndrZOort con5ect-re

Bss con5ect-re

!eli*ne con5ect-re

3r^ber* con5ect-re

3-5it con5ect-re

+rtshorne con5ect-res

Scobin con5ect-re

Mnin con5ect-re

4ki con5ect-re

$esol-tion of sin*-lrities in chrcteristic p

.tndrd con5ect-res on l*ebric cycles
http://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=2http://en.wikipedia.org/wiki/Additive_number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=3http://en.wikipedia.org/wiki/Beal's_conjecturehttp://en.wikipedia.org/wiki/Goldbach's_conjecturehttp://en.wikipedia.org/wiki/Goldbach's_weak_conjecturehttp://en.wikipedia.org/wiki/Waring's_problemhttp://en.wikipedia.org/wiki/Collatz_conjecturehttp://en.wikipedia.org/wiki/Lander,_Parkin,_and_Selfridge_conjecturehttp://en.wikipedia.org/wiki/Diophantine_quintuplehttp://en.wikipedia.org/wiki/Gilbreath's_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s_conjecture_on_arithmetic_progressionshttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Tur%C3%A1n_conjecture_on_additive_baseshttp://en.wikipedia.org/wiki/Pollock_octahedral_numbers_conjecturehttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=4http://en.wikipedia.org/wiki/Hilbert's_sixteenth_problemhttp://en.wikipedia.org/wiki/Hadamard_conjecturehttp://en.wikipedia.org/wiki/Euler_brick#Perfect_cuboidhttp://en.wikipedia.org/wiki/Algebraic_geometryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=5http://en.wikipedia.org/wiki/Andr%C3%A9%E2%80%93Oort_conjecturehttp://en.wikipedia.org/wiki/Bass_conjecturehttp://en.wikipedia.org/wiki/Deligne_conjecturehttp://en.wikipedia.org/wiki/Fr%C3%B6berg_conjecturehttp://en.wikipedia.org/wiki/Fujita_conjecturehttp://en.wikipedia.org/w/index.php?title=Hartshorne_conjectures&action=edit&redlink=1http://en.wikipedia.org/wiki/Jacobian_conjecturehttp://en.wikipedia.org/wiki/Manin_conjecturehttp://en.wikipedia.org/wiki/Nakai_conjecturehttp://en.wikipedia.org/wiki/Resolution_of_singularitieshttp://en.wikipedia.org/wiki/Standard_conjectureshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=2http://en.wikipedia.org/wiki/Additive_number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=3http://en.wikipedia.org/wiki/Beal's_conjecturehttp://en.wikipedia.org/wiki/Goldbach's_conjecturehttp://en.wikipedia.org/wiki/Goldbach's_weak_conjecturehttp://en.wikipedia.org/wiki/Waring's_problemhttp://en.wikipedia.org/wiki/Collatz_conjecturehttp://en.wikipedia.org/wiki/Lander,_Parkin,_and_Selfridge_conjecturehttp://en.wikipedia.org/wiki/Diophantine_quintuplehttp://en.wikipedia.org/wiki/Gilbreath's_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s_conjecture_on_arithmetic_progressionshttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Tur%C3%A1n_conjecture_on_additive_baseshttp://en.wikipedia.org/wiki/Pollock_octahedral_numbers_conjecturehttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=4http://en.wikipedia.org/wiki/Hilbert's_sixteenth_problemhttp://en.wikipedia.org/wiki/Hadamard_conjecturehttp://en.wikipedia.org/wiki/Euler_brick#Perfect_cuboidhttp://en.wikipedia.org/wiki/Algebraic_geometryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=5http://en.wikipedia.org/wiki/Andr%C3%A9%E2%80%93Oort_conjecturehttp://en.wikipedia.org/wiki/Bass_conjecturehttp://en.wikipedia.org/wiki/Deligne_conjecturehttp://en.wikipedia.org/wiki/Fr%C3%B6berg_conjecturehttp://en.wikipedia.org/wiki/Fujita_conjecturehttp://en.wikipedia.org/w/index.php?title=Hartshorne_conjectures&action=edit&redlink=1http://en.wikipedia.org/wiki/Jacobian_conjecturehttp://en.wikipedia.org/wiki/Manin_conjecturehttp://en.wikipedia.org/wiki/Nakai_conjecturehttp://en.wikipedia.org/wiki/Resolution_of_singularitieshttp://en.wikipedia.org/wiki/Standard_conjectures


15/44

.ection con5ect-re

irsoro con5ect-re

#itten con5ect-re

Yriski m-ltiplicity con5ect-re

Algebraic number theor-edit

Are there in"nitely mny rel ;-drtic n-mber "elds%ith -ni;-e

fctori6tion?

Br-mer.trk con5ect-re

(hrcteri6e ll l*ebric n-mber "elds tht hve some po%er bsis&

Anal-sisedit

TheScobin con5ect-re

.chn-els con5ect-re

Lehmers con5ect-re

Pompei- problem

Are >the E-lerMscheroni constnt: _[ e: _ ` e: _e: _2e: _e: _aC: __:

e_C: ln_: Ce: ee: (tlns constntor hinchins

constntrtionl: l*ebricirrtionl: ortrnscendentl? #ht isthe irrtionlity mes-reof ech of these n-mbers? 1CD0KN

The hbib-llins con5ect-re on inte*rl ine;-lities

Combinatoricsedit

4-mber of m*ic s;-res>se;-ence A0Cin OE).

3indin* form-l for the probbility tht t%o elements chosen t rndom

*enerte the symmetric *ro-p

3rnkls -nion'closed sets con5ect-reF for ny fmily of sets closed -nder

s-ms there e@ists n element >of the -nderlyin* spce belon*in* to hlf or

more of the sets

The Lonely r-nner con5ect-reF if r-nners %ith pir%ise distinct

speeds r-n ro-nd trck of -nit len*th: %ill every r-nner be tht

is: be t lest distnce from ech other r-nner t some time?

.in*msters con5ect-reF is there "nite -pper bo-nd on the m-ltiplicities

of the entries *reter thn 1 in Pscls trin*le?
http://en.wikipedia.org/wiki/Section_conjecturehttp://en.wikipedia.org/wiki/Virasoro_conjecturehttp://en.wikipedia.org/wiki/Witten_conjecturehttp://en.wikipedia.org/w/index.php?title=Zariski_multiplicity_conjecture&action=edit&redlink=1http://en.wikipedia.org/wiki/Algebraic_number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=6http://en.wikipedia.org/wiki/Class_number_problem#Real_quadratic_fieldshttp://en.wikipedia.org/wiki/Unique_factorizationhttp://en.wikipedia.org/wiki/Unique_factorizationhttp://en.wikipedia.org/wiki/Brumer%E2%80%93Stark_conjecturehttp://en.wikipedia.org/wiki/Algebraic_number_field#Bases_for_number_fieldshttp://en.wikipedia.org/wiki/Mathematical_analysishttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=7http://en.wikipedia.org/wiki/Jacobian_conjecturehttp://en.wikipedia.org/wiki/Schanuel's_conjecturehttp://en.wikipedia.org/wiki/Lehmer's_conjecturehttp://en.wikipedia.org/wiki/Pompeiu_problemhttp://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constanthttp://en.wikipedia.org/wiki/Pihttp://en.wikipedia.org/wiki/E_(mathematical_constant)http://en.wikipedia.org/wiki/Square_root_of_2http://en.wikipedia.org/wiki/Natural_logarithmhttp://en.wikipedia.org/wiki/Catalan's_constanthttp://en.wikipedia.org/wiki/Khinchin's_constanthttp://en.wikipedia.org/wiki/Khinchin's_constanthttp://en.wikipedia.org/wiki/Algebraic_numberhttp://en.wikipedia.org/wiki/Transcendental_numberhttp://en.wikipedia.org/wiki/Irrationality_measurehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-1http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-2http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-3http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-4http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-5http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-6http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-7http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-8http://en.wikipedia.org/wiki/Khabibullin%E2%80%99s_conjecture_on_integral_inequalitieshttp://en.wikipedia.org/wiki/Combinatoricshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=8http://en.wikipedia.org/wiki/Magic_squarehttp://oeis.org/A006052http://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequenceshttp://en.wikipedia.org/wiki/Symmetric_grouphttp://en.wikipedia.org/wiki/Union-closed_sets_conjecturehttp://en.wikipedia.org/wiki/Lonely_runner_conjecturehttp://en.wikipedia.org/wiki/Singmaster's_conjecturehttp://en.wikipedia.org/wiki/Section_conjecturehttp://en.wikipedia.org/wiki/Virasoro_conjecturehttp://en.wikipedia.org/wiki/Witten_conjecturehttp://en.wikipedia.org/w/index.php?title=Zariski_multiplicity_conjecture&action=edit&redlink=1http://en.wikipedia.org/wiki/Algebraic_number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=6http://en.wikipedia.org/wiki/Class_number_problem#Real_quadratic_fieldshttp://en.wikipedia.org/wiki/Unique_factorizationhttp://en.wikipedia.org/wiki/Unique_factorizationhttp://en.wikipedia.org/wiki/Brumer%E2%80%93Stark_conjecturehttp://en.wikipedia.org/wiki/Algebraic_number_field#Bases_for_number_fieldshttp://en.wikipedia.org/wiki/Mathematical_analysishttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=7http://en.wikipedia.org/wiki/Jacobian_conjecturehttp://en.wikipedia.org/wiki/Schanuel's_conjecturehttp://en.wikipedia.org/wiki/Lehmer's_conjecturehttp://en.wikipedia.org/wiki/Pompeiu_problemhttp://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constanthttp://en.wikipedia.org/wiki/Pihttp://en.wikipedia.org/wiki/E_(mathematical_constant)http://en.wikipedia.org/wiki/Square_root_of_2http://en.wikipedia.org/wiki/Natural_logarithmhttp://en.wikipedia.org/wiki/Catalan's_constanthttp://en.wikipedia.org/wiki/Khinchin's_constanthttp://en.wikipedia.org/wiki/Khinchin's_constanthttp://en.wikipedia.org/wiki/Algebraic_numberhttp://en.wikipedia.org/wiki/Transcendental_numberhttp://en.wikipedia.org/wiki/Irrationality_measurehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-1http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-2http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-3http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-4http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-5http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-6http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-7http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-8http://en.wikipedia.org/wiki/Khabibullin%E2%80%99s_conjecture_on_integral_inequalitieshttp://en.wikipedia.org/wiki/Combinatoricshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=8http://en.wikipedia.org/wiki/Magic_squarehttp://oeis.org/A006052http://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequenceshttp://en.wikipedia.org/wiki/Symmetric_grouphttp://en.wikipedia.org/wiki/Union-closed_sets_conjecturehttp://en.wikipedia.org/wiki/Lonely_runner_conjecturehttp://en.wikipedia.org/wiki/Singmaster's_conjecture


16/44

The 12DC2D con5ect-reF does every "nite prtilly ordered setcontin t%o

elementsxnd-s-ch tht the probbility thtxppers before-in

rndom liner e@tensionis bet%een 12D nd C2D?

/iscrete geometr-edit

.olvin* the +ppy Endin* problemfor rbitrry

3indin* mtchin* -pper nd lo%er bo-nds for 'setsnd hlvin* lines

The +d%i*er con5ect-reon coverin* n'dimensionl conve@ bodies %ith t

most Cnsmller copies

/-namical s-stemedit

3-rstenber*con5ect-re )s every invrint nd er*odicmes-re for

the ction on the circle either Lebes*-e or tomic?

Mr*-liscon5ect-re Mes-re clssi"ction for di*onli6ble ctions in

hi*her'rnk *ro-ps

ML(con5ect-re ' )s the Mndelbrot set loclly connected ?

>raph theor-edit

Brnettes con5ect-retht every c-bic biprtite three'connected plnr

*rph hs +miltonin cycle

The Erd\s8y]rf]s con5ect-reon cycles %ith po%er'of't%o len*ths in c-bic*rphs

The Erd\s+5nl con5ect-reon "ndin* lr*e homo*eneo-s sets in *rphs

%ith forbidden ind-ced s-b*rph

The +d%i*er con5ect-rereltin* colorin* to cli;-e minors

The Erd\s3berLov]s6 con5ect-reon colorin* -nions of cli;-es

The totl colorin* con5ect-re

The list colorin* con5ect-re

The $in*elot6i* con5ect-reon *rcef-l lbelin* of trees

The +d%i*er4elson problemon the chromtic n-mber of -nit distnce

*rphs

!erivin* closed'form e@pression for the percoltion thresholdvl-es:

especilly >s;-re site

T-ttes con5ect-res tht every brid*eless *rph hs no%here'6ero 0'

Ho%nd every brid*eless *rph %itho-t the Petersen *rphs minorhs no%here'6ero 'Ho%
http://en.wikipedia.org/wiki/1/3%E2%80%932/3_conjecturehttp://en.wikipedia.org/wiki/Partially_ordered_sethttp://en.wikipedia.org/wiki/Linear_extensionhttp://en.wikipedia.org/wiki/Discrete_geometryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=9http://en.wikipedia.org/wiki/Happy_Ending_problemhttp://en.wikipedia.org/wiki/K-set_(geometry)http://en.wikipedia.org/wiki/Hadwiger_conjecture_(combinatorial_geometry)http://en.wikipedia.org/wiki/Dynamical_systemhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=10http://en.wikipedia.org/wiki/Hillel_Furstenberghttp://en.wikipedia.org/wiki/Ergodicityhttp://en.wikipedia.org/wiki/Grigory_Margulishttp://en.wikipedia.org/wiki/MLChttp://en.wikipedia.org/wiki/Graph_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=11http://en.wikipedia.org/wiki/Barnette's_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Gy%C3%A1rf%C3%A1s_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Hajnal_conjecturehttp://en.wikipedia.org/wiki/Hadwiger_conjecture_(graph_theory)http://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Faber%E2%80%93Lov%C3%A1sz_conjecturehttp://en.wikipedia.org/wiki/Total_coloring_conjecturehttp://en.wikipedia.org/wiki/List_coloring_conjecturehttp://en.wikipedia.org/wiki/Graceful_labelinghttp://en.wikipedia.org/wiki/Hadwiger%E2%80%93Nelson_problemhttp://en.wikipedia.org/wiki/Percolation_thresholdhttp://en.wikipedia.org/wiki/Nowhere-zero_flowshttp://en.wikipedia.org/wiki/Nowhere-zero_flowshttp://en.wikipedia.org/wiki/Petersen_graphhttp://en.wikipedia.org/wiki/Minor_(graph_theory)http://en.wikipedia.org/wiki/1/3%E2%80%932/3_conjecturehttp://en.wikipedia.org/wiki/Partially_ordered_sethttp://en.wikipedia.org/wiki/Linear_extensionhttp://en.wikipedia.org/wiki/Discrete_geometryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=9http://en.wikipedia.org/wiki/Happy_Ending_problemhttp://en.wikipedia.org/wiki/K-set_(geometry)http://en.wikipedia.org/wiki/Hadwiger_conjecture_(combinatorial_geometry)http://en.wikipedia.org/wiki/Dynamical_systemhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=10http://en.wikipedia.org/wiki/Hillel_Furstenberghttp://en.wikipedia.org/wiki/Ergodicityhttp://en.wikipedia.org/wiki/Grigory_Margulishttp://en.wikipedia.org/wiki/MLChttp://en.wikipedia.org/wiki/Graph_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=11http://en.wikipedia.org/wiki/Barnette's_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Gy%C3%A1rf%C3%A1s_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Hajnal_conjecturehttp://en.wikipedia.org/wiki/Hadwiger_conjecture_(graph_theory)http://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Faber%E2%80%93Lov%C3%A1sz_conjecturehttp://en.wikipedia.org/wiki/Total_coloring_conjecturehttp://en.wikipedia.org/wiki/List_coloring_conjecturehttp://en.wikipedia.org/wiki/Graceful_labelinghttp://en.wikipedia.org/wiki/Hadwiger%E2%80%93Nelson_problemhttp://en.wikipedia.org/wiki/Percolation_thresholdhttp://en.wikipedia.org/wiki/Nowhere-zero_flowshttp://en.wikipedia.org/wiki/Nowhere-zero_flowshttp://en.wikipedia.org/wiki/Petersen_graphhttp://en.wikipedia.org/wiki/Minor_(graph_theory)


17/44

The $econstr-ction con5ect-rend 4e% di*rph reconstr-ction

con5ect-reconcernin* %hether or not *rph is reco*ni6ble by the verte@

deleted s-b*rphs&

The cycle do-ble cover con5ect-retht every brid*eless *rph hs fmily

of cycles tht incl-des ech ed*e t%ice&

!oes Moore *rph%ith *irth 0 nd de*ree 0K e@ist?

(on%ys thrckle con5ect-re

>roup theor-edit

)s every "nitely presentedperiodic *ro-p"nite?

The inverse 8lois problemF is every "nite *ro-p the 8lois *ro-p of

8lois e@tension of the rtionls?

3or %hich positive inte*ers m: nis the free B-rnside *ro-pB>m:n "nite? )n

prtic-lr: is B>C: 0 "nite?

)s every *ro-p s-r5-nctive?

"odel theor-edit

-*hts con5ect-re

The (herlin'Yilber con5ect-reF A simple *ro-p %hose "rst'order theory

is stblein is simple l*ebric *ro-p over n l*ebriclly closed"eld&

The Min 8p con5ect-re: e&*& for -nco-ntble "rst order theories:

for AE(s: nd for 'st-rted models of co-ntble theory&J

!etermine the str-ct-re of eislers order111

The stble "eld con5ect-reF every in"nite "eld %ith stble"rst'order

theory is seprbly closed&

)s the theory of the "eld of L-rent series over decidble? of the "eld ofpolynomils over ?

>BMTO )s the Borel mondic theory of the rel order decidble? >MT#O )s

the mondic theory of %ell'orderin* consistently decidble? 1C

The .tble 3orkin* (on5ect-re for simple theories1D

3or %hich n-mber "elds does +ilberts tenth problemhold?

Ass-me is the clss of models of co-ntble "rst order theory omittin*

co-ntbly mny types& )f hs model of crdinlity does it hve

model of crdinlity contin--m?1
http://en.wikipedia.org/wiki/Reconstruction_conjecturehttp://en.wikipedia.org/wiki/New_digraph_reconstruction_conjecturehttp://en.wikipedia.org/wiki/New_digraph_reconstruction_conjecturehttp://en.wikipedia.org/wiki/Cycle_double_cover_conjecturehttp://en.wikipedia.org/wiki/Moore_graphhttp://en.wikipedia.org/wiki/Conway's_thrackle_conjecturehttp://en.wikipedia.org/wiki/Group_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=12http://en.wikipedia.org/wiki/Finitely_presented_grouphttp://en.wikipedia.org/wiki/Periodic_grouphttp://en.wikipedia.org/wiki/Inverse_Galois_problemhttp://en.wikipedia.org/wiki/Free_Burnside_grouphttp://en.wikipedia.org/wiki/Surjunctive_grouphttp://en.wikipedia.org/wiki/Model_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=13http://en.wikipedia.org/wiki/Vaught's_conjecturehttp://en.wikipedia.org/wiki/Stable_grouphttp://en.wikipedia.org/wiki/Stable_theoryhttp://en.wikipedia.org/wiki/First_order_theoryhttp://en.wikipedia.org/wiki/Abstract_elementary_classhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-9http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-10http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-11http://en.wikipedia.org/wiki/Stable_theoryhttp://en.wikipedia.org/wiki/Decidability_(logic)http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-12http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-13http://en.wikipedia.org/wiki/Hilbert's_tenth_problemhttp://en.wikipedia.org/wiki/Type_(model_theory)http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-14http://en.wikipedia.org/wiki/Reconstruction_conjecturehttp://en.wikipedia.org/wiki/New_digraph_reconstruction_conjecturehttp://en.wikipedia.org/wiki/New_digraph_reconstruction_conjecturehttp://en.wikipedia.org/wiki/Cycle_double_cover_conjecturehttp://en.wikipedia.org/wiki/Moore_graphhttp://en.wikipedia.org/wiki/Conway's_thrackle_conjecturehttp://en.wikipedia.org/wiki/Group_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=12http://en.wikipedia.org/wiki/Finitely_presented_grouphttp://en.wikipedia.org/wiki/Periodic_grouphttp://en.wikipedia.org/wiki/Inverse_Galois_problemhttp://en.wikipedia.org/wiki/Free_Burnside_grouphttp://en.wikipedia.org/wiki/Surjunctive_grouphttp://en.wikipedia.org/wiki/Model_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=13http://en.wikipedia.org/wiki/Vaught's_conjecturehttp://en.wikipedia.org/wiki/Stable_grouphttp://en.wikipedia.org/wiki/Stable_theoryhttp://en.wikipedia.org/wiki/First_order_theoryhttp://en.wikipedia.org/wiki/Abstract_elementary_classhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-9http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-10http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-11http://en.wikipedia.org/wiki/Stable_theoryhttp://en.wikipedia.org/wiki/Decidability_(logic)http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-12http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-13http://en.wikipedia.org/wiki/Hilbert's_tenth_problemhttp://en.wikipedia.org/wiki/Type_(model_theory)http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-14


18/44

)s there lo*ic stisfyin* the interpoltion theorem %hich is compct?10

)f the clss of tomic models of complete "rst order theory

is cte*oriclin the : is it cte*oricl in every crdinl?11K

)s every in"nite: miniml "eld of chrcteristic 6ero l*ebriclly closed?>miniml no proper elementry s-bstr-ct-re

-ekers con5ect-re1N

!oes there e@ist n o'miniml"rst order theory %ith trns'e@ponentil

>rpid *ro%th f-nction?

Lchlns decision problem

!oes "nitely presented homo*eneo-s str-ct-re for "nite reltionl

ln*-*e hve "nitely mny red-cts?

!o the +enson *rphs hve the "nite model property? >e&*& trin*le'free

*rphs

The -niverslity problem for ('free *rphsF 3or %hich "nite sets ( of

*rphs does the clss of ('free co-ntble *rphs hve -niversl member

-nder stron* embeddin*s?1J

The -niverslity spectr-m problemF )s there "rst'order theory %hose

-niverslity spectr-m is minim-m?C

umber theor- Bgeneraledit

a&c con5ect-re>Proof climed in C1C: c-rrently -nder revie%&

Erd\s.tr-s con5ect-re

!o ny odd perfect n-mberse@ist?

Are there in"nitely mny perfect n-mbers?

!o ;-siperfect n-mberse@ist?

!o ny odd %eird n-mberse@ist?

!o ny Lychrel n-mberse@ist?

)s 1 solitry n-mber?

!o nyT@icb>0: C: ne@ist for nG1?

Brocrds problemF e@istence of inte*ers: n:m: s-ch tht n/[1mCother

thn n:0:K

!istrib-tion nd -pper bo-nd of mimic n-mbers

Little%ood con5ect-re
http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-15http://en.wikipedia.org/wiki/Categorical_(model_theory)http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-16http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-17http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-18http://en.wikipedia.org/wiki/O-minimalhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-19http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-20http://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=14http://en.wikipedia.org/wiki/Abc_conjecturehttp://en.wikipedia.org/wiki/Abc_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Straus_conjecturehttp://en.wikipedia.org/wiki/Perfect_number#Odd_perfect_numbershttp://en.wikipedia.org/wiki/Perfect_numbershttp://en.wikipedia.org/wiki/Quasiperfect_numberhttp://en.wikipedia.org/wiki/Weird_numberhttp://en.wikipedia.org/wiki/Lychrel_numberhttp://en.wikipedia.org/wiki/Solitary_numberhttp://en.wikipedia.org/wiki/Generalized_taxicab_numberhttp://en.wikipedia.org/wiki/Brocard's_problemhttp://garden.irmacs.sfu.ca/?q=op/distribution_and_upper_bound_of_mimic_numbershttp://en.wikipedia.org/wiki/Littlewood_conjecturehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-15http://en.wikipedia.org/wiki/Categorical_(model_theory)http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-16http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-17http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-18http://en.wikipedia.org/wiki/O-minimalhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-19http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-20http://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=14http://en.wikipedia.org/wiki/Abc_conjecturehttp://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Straus_conjecturehttp://en.wikipedia.org/wiki/Perfect_number#Odd_perfect_numbershttp://en.wikipedia.org/wiki/Perfect_numbershttp://en.wikipedia.org/wiki/Quasiperfect_numberhttp://en.wikipedia.org/wiki/Weird_numberhttp://en.wikipedia.org/wiki/Lychrel_numberhttp://en.wikipedia.org/wiki/Solitary_numberhttp://en.wikipedia.org/wiki/Generalized_taxicab_numberhttp://en.wikipedia.org/wiki/Brocard's_problemhttp://garden.irmacs.sfu.ca/?q=op/distribution_and_upper_bound_of_mimic_numbershttp://en.wikipedia.org/wiki/Littlewood_conjecture


19/44

(on*r-ent n-mber problem> corollry to Birch nd .%innerton'!yer

con5ect-re: perT-nnells theorem

Lehmers totient problemF if >n divides n` 1: m-st nbe prime?

Are there in"nitely mny micble n-mbers?

Are there ny pirs of reltively primemicble n-mbers?

umber theor- Bprime numbersedit

(tlns Mersenne con5ect-re

T%in prime con5ect-re

The 8-ssin motproblemF is it possible to "nd n in"nite se;-ence of

distinct 8-ssin prime n-mbers s-ch tht the dierence bet%een

consec-tive n-mbers in the se;-ence is bo-nded?

Are there in"nitely mny prime ;-dr-plets?

Are there in"nitely mny Mersenne primes>LenstrPomernce#*st

con5ect-reQ e;-ivlently: in"nitely mny even perfect n-mbers?

Are there in"nitely mny #*st primes?

Are there in"nitely mny .ophie 8ermin primes?

Are there in"nitely mny re*-lr primes: nd if so is their reltive

density ?

Are there in"nitely mny (-llen primes?

Are there in"nitely mny #oodll primes?

Are there in"nitely mny plindromic primesin bse 1?

Are there in"nitely mny 3iboncci primes?

Are ll Mersenne n-mbersof prime inde@ s;-re'free?

Are there in"nitely mny #ieferich primes?

Are there for every C in"nitely mny primes p s-ch tht ` 1 1

>modC?C1

(n primestisfy C` 1 1 >modC nd D` 1 1 >modC

sim-ltneo-sly?CC

Are there in"nitely mny #ilson primes?

Are there in"nitely mny #olstenholme primes?

Are there ny #ll.-n.-n primes?
http://en.wikipedia.org/wiki/Congruent_number_problemhttp://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecturehttp://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecturehttp://en.wikipedia.org/wiki/Tunnell's_theoremhttp://en.wikipedia.org/wiki/Lehmer's_totient_problemhttp://en.wikipedia.org/wiki/Amicable_numbershttp://en.wikipedia.org/wiki/Relatively_primehttp://en.wikipedia.org/wiki/Amicable_numbershttp://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=15http://en.wikipedia.org/wiki/Catalan's_Mersenne_conjecturehttp://en.wikipedia.org/wiki/Twin_primehttp://en.wikipedia.org/wiki/Gaussian_moathttp://en.wikipedia.org/wiki/Prime_quadruplethttp://en.wikipedia.org/wiki/Mersenne_primehttp://en.wikipedia.org/wiki/Lenstra%E2%80%93Pomerance%E2%80%93Wagstaff_conjecturehttp://en.wikipedia.org/wiki/Lenstra%E2%80%93Pomerance%E2%80%93Wagstaff_conjecturehttp://en.wikipedia.org/wiki/Perfect_numberhttp://en.wikipedia.org/wiki/Wagstaff_primehttp://en.wikipedia.org/wiki/Sophie_Germain_primehttp://en.wikipedia.org/wiki/Regular_primehttp://en.wikipedia.org/wiki/Cullen_primehttp://en.wikipedia.org/wiki/Woodall_primehttp://en.wikipedia.org/wiki/Palindromic_primehttp://en.wikipedia.org/wiki/Fibonacci_primehttp://en.wikipedia.org/wiki/Mersenne_numberhttp://en.wikipedia.org/wiki/Square-free_integerhttp://en.wikipedia.org/wiki/Wieferich_primehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-21http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-22http://en.wikipedia.org/wiki/Wilson_primehttp://en.wikipedia.org/wiki/Wolstenholme_primehttp://en.wikipedia.org/wiki/Wall%E2%80%93Sun%E2%80%93Sun_primehttp://en.wikipedia.org/wiki/Congruent_number_problemhttp://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecturehttp://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecturehttp://en.wikipedia.org/wiki/Tunnell's_theoremhttp://en.wikipedia.org/wiki/Lehmer's_totient_problemhttp://en.wikipedia.org/wiki/Amicable_numbershttp://en.wikipedia.org/wiki/Relatively_primehttp://en.wikipedia.org/wiki/Amicable_numbershttp://en.wikipedia.org/wiki/Number_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=15http://en.wikipedia.org/wiki/Catalan's_Mersenne_conjecturehttp://en.wikipedia.org/wiki/Twin_primehttp://en.wikipedia.org/wiki/Gaussian_moathttp://en.wikipedia.org/wiki/Prime_quadruplethttp://en.wikipedia.org/wiki/Mersenne_primehttp://en.wikipedia.org/wiki/Lenstra%E2%80%93Pomerance%E2%80%93Wagstaff_conjecturehttp://en.wikipedia.org/wiki/Lenstra%E2%80%93Pomerance%E2%80%93Wagstaff_conjecturehttp://en.wikipedia.org/wiki/Perfect_numberhttp://en.wikipedia.org/wiki/Wagstaff_primehttp://en.wikipedia.org/wiki/Sophie_Germain_primehttp://en.wikipedia.org/wiki/Regular_primehttp://en.wikipedia.org/wiki/Cullen_primehttp://en.wikipedia.org/wiki/Woodall_primehttp://en.wikipedia.org/wiki/Palindromic_primehttp://en.wikipedia.org/wiki/Fibonacci_primehttp://en.wikipedia.org/wiki/Mersenne_numberhttp://en.wikipedia.org/wiki/Square-free_integerhttp://en.wikipedia.org/wiki/Wieferich_primehttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-21http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-22http://en.wikipedia.org/wiki/Wilson_primehttp://en.wikipedia.org/wiki/Wolstenholme_primehttp://en.wikipedia.org/wiki/Wall%E2%80%93Sun%E2%80%93Sun_prime


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)s every 3ermt n-mberCCn[ 1 composite for ?

Are ll 3ermt n-mbers s;-re'free?

)s KN:00K the lo%est .ierpigski n-mber?

)s 0J:CD the lo%est $iesel n-mber?

3ort-nes con5ect-re >tht no 3ort-nte n-mberis composite

Poli*ncs con5ect-re

Lnd-s problems

!oes every prime n-mber pper in the E-clidM-llin se;-ence?

!oes the converse of #olstenholmes theoremhold for ll nt-rl

n-mbers?

Elliott+lberstm con5ect-re

(artial diDerential e,uationsedit

$e*-lrity of sol-tions of lsovM@%ell e;-tions

$e*-lrity of sol-tions of E-ler e;-tions

Ramse- theor-edit

The vl-es of the $msey n-mbers: prtic-lrly

The vl-es of the n der #erden n-mbers

et theor-edit

The problem of "ndin* the -ltimte core model: one tht contins ll lr*e

crdinls&

)f is stron* limit crdinl: then Cj 1>see .in*-lr crdinls

hypothesis& The best bo-nd: : %s obtined by .helh-sin* his pcf

theory&

#oodins'hypothesis&

!oes the consistencyof the e@istence of stron*ly compct crdinlimply

the consistent e@istence of s-percompct crdinl?

>#oodin !oes the 8enerli6ed (ontin--m +ypothesisbelo% stron*ly

compct crdinlimply the 8enerli6ed (ontin--m

+ypothesisevery%here?

!oes there e@ist Sonsson l*ebron ?
http://en.wikipedia.org/wiki/Fermat_numberhttp://en.wikipedia.org/wiki/Square-free_integerhttp://en.wikipedia.org/wiki/Sierpi%C5%84ski_numberhttp://en.wikipedia.org/wiki/Riesel_numberhttp://en.wikipedia.org/wiki/Fortunate_numberhttp://en.wikipedia.org/wiki/Polignac's_conjecturehttp://en.wikipedia.org/wiki/Landau's_problemshttp://en.wikipedia.org/wiki/Euclid%E2%80%93Mullin_sequencehttp://en.wikipedia.org/wiki/Wolstenholme's_theorem#The_converse_as_a_conjecturehttp://en.wikipedia.org/wiki/Elliott%E2%80%93Halberstam_conjecturehttp://en.wikipedia.org/wiki/Partial_differential_equationshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=16http://en.wikipedia.org/wiki/Vlasov%E2%80%93Maxwell_equationshttp://en.wikipedia.org/wiki/Euler_equationshttp://en.wikipedia.org/wiki/Ramsey_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=17http://en.wikipedia.org/wiki/Ramsey's_theorem#Ramsey_numbershttp://en.wikipedia.org/wiki/Van_der_Waerden_numberhttp://en.wikipedia.org/wiki/Set_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=18http://en.wikipedia.org/wiki/Core_modelhttp://en.wikipedia.org/wiki/Large_cardinal_propertyhttp://en.wikipedia.org/wiki/Large_cardinal_propertyhttp://en.wikipedia.org/wiki/Singular_cardinals_hypothesishttp://en.wikipedia.org/wiki/Singular_cardinals_hypothesishttp://en.wikipedia.org/wiki/Saharon_Shelahhttp://en.wikipedia.org/wiki/PCF_theoryhttp://en.wikipedia.org/wiki/PCF_theoryhttp://en.wikipedia.org/wiki/W._Hugh_Woodinhttp://en.wikipedia.org/wiki/%CE%A9-logichttp://en.wikipedia.org/wiki/Consistencyhttp://en.wikipedia.org/wiki/Strongly_compact_cardinalhttp://en.wikipedia.org/wiki/Supercompact_cardinalhttp://en.wikipedia.org/wiki/W._Hugh_Woodinhttp://en.wikipedia.org/wiki/Continuum_hypothesis#The_generalized_continuum_hypothesishttp://en.wikipedia.org/wiki/Strongly_compact_cardinalhttp://en.wikipedia.org/wiki/Strongly_compact_cardinalhttp://en.wikipedia.org/wiki/Continuum_hypothesis#The_generalized_continuum_hypothesishttp://en.wikipedia.org/wiki/Continuum_hypothesis#The_generalized_continuum_hypothesishttp://en.wikipedia.org/wiki/J%C3%B3nsson_cardinalhttp://en.wikipedia.org/wiki/Fermat_numberhttp://en.wikipedia.org/wiki/Square-free_integerhttp://en.wikipedia.org/wiki/Sierpi%C5%84ski_numberhttp://en.wikipedia.org/wiki/Riesel_numberhttp://en.wikipedia.org/wiki/Fortunate_numberhttp://en.wikipedia.org/wiki/Polignac's_conjecturehttp://en.wikipedia.org/wiki/Landau's_problemshttp://en.wikipedia.org/wiki/Euclid%E2%80%93Mullin_sequencehttp://en.wikipedia.org/wiki/Wolstenholme's_theorem#The_converse_as_a_conjecturehttp://en.wikipedia.org/wiki/Elliott%E2%80%93Halberstam_conjecturehttp://en.wikipedia.org/wiki/Partial_differential_equationshttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=16http://en.wikipedia.org/wiki/Vlasov%E2%80%93Maxwell_equationshttp://en.wikipedia.org/wiki/Euler_equationshttp://en.wikipedia.org/wiki/Ramsey_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=17http://en.wikipedia.org/wiki/Ramsey's_theorem#Ramsey_numbershttp://en.wikipedia.org/wiki/Van_der_Waerden_numberhttp://en.wikipedia.org/wiki/Set_theoryhttp://en.wikipedia.org/w/index.php?title=List_of_unsolved_problems_in_mathematics&action=edit&section=18http://en.wikipedia.org/wiki/Core_modelhttp://en.wikipedia.org/wiki/Large_cardinal_propertyhttp://en.wikipedia.org/wiki/Large_cardinal_propertyhttp://en.wikipedia.org/wiki/Singular_cardinals_hypothesishttp://en.wikipedia.org/wiki/Singular_cardinals_hypothesishttp://en.wikipedia.org/wiki/Saharon_Shelahhttp://en.wikipedia.org/wiki/PCF_theoryhttp://en.wikipedia.org/wiki/PCF_theoryhttp://en.wikipedia.org/wiki/W._Hugh_Woodinhttp://en.wikipedia.org/wiki/%CE%A9-logichttp://en.wikipedia.org/wiki/Consistencyhttp://en.wikipedia.org/wiki/Strongly_compact_cardinalhttp://en.wikipedia.org/wiki/Supercompact_cardinalhttp://en.wikipedia.org/wiki/W._Hugh_Woodinhttp://en.wikipedia.org/wiki/Continuum_hypothesis#The_generalized_continuum_hypothesishttp://en.wikipedia.org/wiki/Strongly_compact_cardinalhttp://en.wikipedia.org/wiki/Strongly_compact_cardinalhttp://en.wikipedia.org/wiki/Continuum_hypothesis#The_generalized_continuum_hypothesishttp://en.wikipedia.org/wiki/Continuum_hypothesis#The_generalized_continuum_hypothesishttp://en.wikipedia.org/wiki/J%C3%B3nsson_cardinal


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#itho-t ss-min* the @iom of choice: cn nontrivil elementry

embeddin*e@ist?

)s it consistent tht ? >This problem %s solved in C1C preprint by

Mlliris nd .helh:CD%ho sho%ed tht is theorem of Y3(&

!oes the 8enerli6ed (ontin--m +ypothesisentil for

every sin*-lr crdinl ?

Otheredit

)nvrint s-bspce problem

Problems in Ltin s;-res

Problems in loop theory nd ;-si*ro-p theory

!i@mier con5ect-re

B-m(onnes con5ect-re

8enerli6ed str hei*ht problem

Assorted sphere pckin*problems: e&*& the densest irre*-lr hypersphere

pckin*s

(losed c-rve problemF 3ind >e@plicit necessry nd s-=cient conditions

tht determine %hen: *iven t%o periodic f-nctions %ith the sme period:the inte*rl c-rve is closed&C

Toeplit6 con5ect-re>open since 1J11

ee also: List of con>ectures

Problems solved recentlyedit

8romovsproblem on distortion of knots>Sohn Prdon: C11

(irc-lr l%>Terence Tond n +& -: C1

+irsch con5ect-re>3rncisco .ntos Lel: C1C0

.erres mod-lrity con5ect-re>(hndrshekhr hrendSen'Pierre

#intenber*er: CNC

+etero*eneo-s tilin* con5ect-re >s;-rin* the plne>3rederick & +enle

nd Smes M& +enle: CK

$od colorin* con5ect-re>Avrhm Trhtmn: CK

The An*el problem>rio-s independent proofs: C
http://en.wikipedia.org/wiki/Axiom_of_choicehttp://en.wikipedia.org/wiki/Reinhardt_cardinalhttp://en.wikipedia.org/wiki/Reinhardt_cardinalhttp://en.wikipedia.org/wiki/Saharon_Shelahhttp://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics#cite_note-23http://en.wikipedia.org/wiki/Continuum_hypothesis#The_generalized_continuum_hypothesishttp://en.wikipedia.org/wiki/Singular_cardinalht

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