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    HETEROGENEOUS CAUSALITYJULIAN REISS, ERASMUS UNIVERSITY ROTTERDAM

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    Overview

    For a scientific approach to LCA, the notion of causationis of crucial

    importance

    For instance, in the CALCAS project report it says that a systems approach

    means distinguishing elements, and connecting these elements bymechanisms... [A] mechanism is in the first place a causal relationship that

    connects the levels of two activities

    Unfortunately, there is no accepted definition of cause; rather, there is a

    variety of theories of causation, each of which captures important aspects

    of the notion

    What I want to do here is to discuss the various approaches to causation

    and eventually suggest a response to what one might call the problem of

    heterogeneous causality: the fact that causal relations come in many kinds

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    Regularity Accounts

    Regular succession cannot be all there is to causation:

    Typically, conditions require enablers, other

    conditions without which the effect would not occurPreventors can almost always interferewith the

    operation of the cause

    Few effects can be produced by one set of

    conditions only (plurality of causes)Causes are therefore (at least) INUS conditions:

    ABCor DEFor GHIis always followed by P

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    Regularity Accounts

    Understanding causation as regular succession has a

    variety of advantages:

    Works for a large range of important cases

    Justifes use of experimental method

    Connects causality with policy

    But it faces counterexamples:

    Causation in singular cases

    Probabilistic causation

    Common-cause structures

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    Regularity Accounts

    Understanding causation as regular succession has a

    variety of advantages:

    Works for a large range of important cases

    Justifes use of experimental method

    Connects causality with policy

    But it faces counterexamples:

    Causation in singular cases

    Probabilistic causation

    Common-cause structures

    C

    X

    Y

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    Singular causation

    According to a widely held theory, the everyday

    conception of causation is counterfactual: Xis a

    cause of Yif and only if had Xnot been, Ywould

    not have been

    This is also called the but-for conception of

    cause at work in the law and history

    Unfortunately, it is not without problems either:

    Redundant causation

    Makes causation subjective

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    Singular causation

    According to a widely held theory, the everyday

    conception of causation is counterfactual: Xis a

    cause of Yif and only if had Xnot been, Ywould

    not have been

    This is also called the but-for conception of

    cause at work in the law and history

    Unfortunately, it is not without problems either:

    Redundant causation

    Makes causation subjective

    C1

    Y

    C2

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    Probabilistic causation

    Idea: causes dont make their effects inevitable but rather more

    probable

    Immediate problem: correlation isnt causation

    Hence: look for residual correlationsonce relevant factors have

    been taken into account (conditional regression coefficients)

    This account, too, faces counterexamples:

    It doesnt work in cases that are genuinely indeterministic

    (e.g., in quantum mechanics)

    When two mechanisms or processes cancel, there is

    causation without correlation

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    Mechanistic causation

    Unfortunately, there are about as many conceptions of

    mechanism as there are contributors to the literature

    Important: more than just causation; continuousprocess between cause and effect

    Solves common-cause problems

    But: causation by omission

    And: in complex situations as good as useless (what

    counts is not thatthere is a mechanism but that we

    pick out the relevant mechanism)

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    Interventions

    A final idea associated with causation is that manipulating

    the cause results in a change in the effect

    Helps in common-cause structures and with cancelling

    mechanisms

    Unfortunately (surprise, surprise!), this account, too, is

    beset with problems:

    Not all systems are modular (such that one can always

    intervene such that only the cause is manipulated)

    If interventions are not ideal, results cannot be

    interpreted

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    Causation useful?

    If all accounts of causation fail, does that mean

    that the idea is not usefulfor science?

    In my view, no. The problem is not that we look forcausalrelations but that we look for thecausal

    relation

    Thus, there is not one causal relation but rathermany different kinds of causal relation

    Doesnt this lead to confusion?

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    Application matters

    My answer is, again, no. Different kinds of causal relationship

    have different properties; some show up in regularities, others

    through a spatio-temporally continuous process, others support

    interventions and so onWhat matters is that we consider those relationships that have

    the properties required for the application at hand:

    Prediction: regularity or probability

    Explanation: mechanism

    Control: stability under intervention

    Strategy: use tests that are able to pick out relationships that

    have the properties required by the desired application

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    More matters of

    applicationJohn Stuart Mill taught us that relationships are causal only when theyare unconditionally invariant (day and night example)

    Weve already seen that his account is unsuccessful as a univocal

    analysis of causation

    Nevertheless his idea contains an important insight: regular

    associations are often dependent on some underlying structure

    That makes causal inference doubly difficult: not only do

    confounders have to be controlled for; when exporting causal claims

    beyond the test population, we need to make sure that the underlying

    structure of the target population is similar enoughso that causal

    inferences about the target are warranted

    Alas, we use lab experiments/models because targets cannot be

    investigated directly

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    External validity

    This is the so-called problem of external validity: do causal

    claims continue to hold beyond the observed population/

    structure/system?

    E.g., clinical trials

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    External validity

    This is the so-called problem of external validity: do causal

    claims continue to hold beyond the observed population/

    structure/system?

    E.g., clinical trials

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    External validity

    This is the so-called problem of external validity: do causal

    claims continue to hold beyond the observed population/

    structure/system?

    E.g., clinical trials

    ?

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    External validity

    This is the so-called problem of external validity: do causal

    claims continue to hold beyond the observed population/

    structure/system?

    E.g., clinical trials

    ?

    ?

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    External validity

    This is the so-called problem of external validity: do causal

    claims continue to hold beyond the observed population/

    structure/system?

    E.g., clinical trials

    ?

    ?

    ?

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    External validity

    This is the so-called problem of external validity: do causal

    claims continue to hold beyond the observed population/

    structure/system?

    E.g., clinical trials

    ?

    ??

    ?

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    Securing external

    validityThere are no ready-made solutions to the problem

    If two systems share all relevant causal structure, we know we

    can export claimsBut this is seldom known to be the case

    Mechanisms are sometimes supposed to help

    The idea is that one can reduce uncertainty by starting to learn

    how a cause operates; part-identity of mechanisms can makeexternal validity more likely

    But this works only in so far as causes operate mechanistically

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    Summary

    Each of the widely held theories of causation regularity,

    counterfactual, probabilistic, mechanistic, interventionist is useful

    to illuminate properties causal relationships have

    These properties relate to causation like symptoms to diseases:there is no unique set of symptoms that alwaysco-occurs with the

    disease; and, typically, a condition is characteristic of more than

    one disease

    This makes causal inference, policy and planning difficult

    The right attitude is to first determine what properties (orsymptoms) are important in the context of applications; and then to

    establish that relationships of that kind hold, and continue to hold in

    the population (or system) in which application is envisaged