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But there are also thought experiments in favor of the normativity of rationality. One, due to [[Frank Cameron Jackson|Frank Jackson]], involves a doctor who receives a patient with a mild condition and has to prescribe one out of three drugs: drug A resulting in a partial cure, drug B resulting in a complete cure, or drug C resulting in the patient's death.<ref>{{cite journal |last1=Jackson |first1=Frank |title=Decision-Theoretic Consequentialism and the Nearest and Dearest Objection |journal=Ethics |date=1991 |volume=101 |issue=3 |pages=461–482 |doi=10.1086/293312 |s2cid=170544860 |url=https://philpapers.org/rec/JACDCA |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055018/https://philpapers.org/rec/JACDCA |url-status=live }}</ref> The doctor's problem is that they cannot tell which of the drugs B and C results in a complete cure and which one in the patient's death. The objectively best case would be for the patient to get drug B, but it would be highly irresponsible for the doctor to prescribe it given the uncertainty about its effects. So the doctor ought to prescribe the less effective drug A, which is also the rational choice. This thought experiment indicates that rationality and normativity coincide since what is rational and what one ought to do depends on the agent's mind after all.<ref name="Littlejohn"/><ref name="Salas"/>
But there are also thought experiments in favor of the normativity of rationality. One, due to [[Frank Cameron Jackson|Frank Jackson]], involves a doctor who receives a patient with a mild condition and has to prescribe one out of three drugs: drug A resulting in a partial cure, drug B resulting in a complete cure, or drug C resulting in the patient's death.<ref>{{cite journal |last1=Jackson |first1=Frank |title=Decision-Theoretic Consequentialism and the Nearest and Dearest Objection |journal=Ethics |date=1991 |volume=101 |issue=3 |pages=461–482 |doi=10.1086/293312 |s2cid=170544860 |url=https://philpapers.org/rec/JACDCA |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055018/https://philpapers.org/rec/JACDCA |url-status=live }}</ref> The doctor's problem is that they cannot tell which of the drugs B and C results in a complete cure and which one in the patient's death. The objectively best case would be for the patient to get drug B, but it would be highly irresponsible for the doctor to prescribe it given the uncertainty about its effects. So the doctor ought to prescribe the less effective drug A, which is also the rational choice. This thought experiment indicates that rationality and normativity coincide since what is rational and what one ought to do depends on the agent's mind after all.<ref name="Littlejohn"/><ref name="Salas"/>


Some theorists have responded to these [[thought experiment]]s by distinguishing between normativity and [[Moral responsibility|responsibility]].<ref name="Salas"/> On this view, critique of irrational behavior, like the doctor prescribing drug B, involves a negative evaluation of the agent in terms of responsibility but remains silent on normative issues. On a competence-based account, which defines rationality in terms of the competence of responding to reasons, such behavior can be understood as a failure to execute one's competence. But sometimes we are lucky and we succeed in the normative dimension despite failing to perform competently, i.e. rationally, due to being irresponsible.<ref name="Salas"/><ref>{{cite journal |last1=Zimmerman |first1=Michael J. |title=Taking Luck Seriously |journal=Journal of Philosophy |date=2002 |volume=99 |issue=11 |pages=553–576 |doi=10.2307/3655750 |jstor=3655750 |url=https://philpapers.org/rec/ZIMTLS |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055016/https://philpapers.org/rec/ZIMTLS |url-status=live }}</ref> The opposite can also be the case: bad luck may result in failure despite a responsible, competent performance. This explains how rationality and normativity can come apart despite our practice of criticizing irrationality.<ref name="Salas"/><ref>{{cite journal |last1=Sylvan |first1=Kurt L. |title=Respect and the Reality of Apparent Reasons |journal=Philosophical Studies |date=2020 |volume=178 |issue=10 |pages=3129–3156 |doi=10.1007/s11098-020-01573-1 |s2cid=225137550 |url=https://philpapers.org/rec/SYLRAT |doi-access=free |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055019/https://philpapers.org/rec/SYLRAT |url-status=live }}</ref>
Some theorists have responded to these [[thought experiment]]s by distinguishing between normativity and [[Moral responsibility|responsibility]].<ref name="Salas"/> On this view, critique of irrational behavior, like the doctor prescribing drug B, involves a negative evaluation of the agent in terms of responsibility but remains silent on normative issues. On a competence-based account, which defines rationality in terms of the competence of responding to reasons, such behavior can be understood as a failure to execute one's competence. But sometimes we are lucky and we succeed in the normative dimension despite failing to perform competently, i.e. rationally, due to being irresponsible.<ref name="Salas"/><ref>{{cite journal |last1=Zimmerman |first1=Michael J. |title=Taking Luck Seriously |journal=Journal of Philosophy |date=2002 |volume=99 |issue=11 |pages=553–576 |doi=10.2307/3655750 |jstor=3655750 |url=https://philpapers.org/rec/ZIMTLS |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055016/https://philpapers.org/rec/ZIMTLS |url-status=live }}</ref> The opposite can also be the case: bad luck may result in failure despite a responsible, competent performance. This explains how rationality and normativity can come apart despite our practice of criticizing irrationality.<ref name="Salas"/><ref>{{cite journal |last1=Sylvan |first1=Kurt L. |title=Respect and the Reality of Apparent Reasons |journal=Philosophical Studies |date=2020 |volume=178 |issue=10 |pages=3129–3156 |doi=10.1007/s11098-020-01573-1 |doi-broken-date=3 May 2024 |s2cid=225137550 |url=https://philpapers.org/rec/SYLRAT |doi-access=free |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055019/https://philpapers.org/rec/SYLRAT |url-status=live }}</ref>


==== Normative and descriptive theories ====
==== Normative and descriptive theories ====
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An important question in this field concerns the relation between descriptive and normative approaches to rationality.<ref name="Knauff2021b"/><ref name="Pinker2022"/><ref name="Over2004"/> One difficulty in this regard is that there is in many cases a huge gap between what the norms of ideal rationality prescribe and how people actually reason. Examples of normative systems of rationality are [[classical logic]], [[probability theory]], and [[decision theory]]. Actual reasoners often diverge from these standards because of [[cognitive biases]], heuristics, or other mental limitations.<ref name="Knauff2021b"/>
An important question in this field concerns the relation between descriptive and normative approaches to rationality.<ref name="Knauff2021b"/><ref name="Pinker2022"/><ref name="Over2004"/> One difficulty in this regard is that there is in many cases a huge gap between what the norms of ideal rationality prescribe and how people actually reason. Examples of normative systems of rationality are [[classical logic]], [[probability theory]], and [[decision theory]]. Actual reasoners often diverge from these standards because of [[cognitive biases]], heuristics, or other mental limitations.<ref name="Knauff2021b"/>


Traditionally, it was often assumed that actual human reasoning should follow the rules described in normative theories. On this view, any discrepancy is a form of irrationality that should be avoided. However, this usually ignores the human limitations of the mind. Given these limitations, various discrepancies may be necessary (and in this sense ''rational'') to get the most useful results.<ref name="Knauff2021b"/><ref name="Harman2013"/><ref name="Moser2006"/> For example, the ideal rational norms of decision theory demand that the agent should always choose the option with the highest expected value. However, calculating the expected value of each option may take a very long time in complex situations and may not be worth the trouble. This is reflected in the fact that actual reasoners often settle for an option that is good enough without making certain that it is really the best option available.<ref name="Moser2006"/><ref name="Bendor2009"/> A further difficulty in this regard is [[Hume's law]], which states that one cannot deduce what ought to be based on what is.<ref>{{cite web |last1=Cohon |first1=Rachel |title=Hume's Moral Philosophy: 5. Is and ought |url=https://plato.stanford.edu/entries/hume-moral/#io |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=21 May 2021 |date=2018 |archive-date=10 January 2018 |archive-url=https://web.archive.org/web/20180110170335/https://plato.stanford.edu/entries/hume-moral/#io |url-status=live }}</ref><ref>{{cite journal |last1=Bloomfield |first1=P. |title=Two Dogmas of Metaethics |journal=Philosophical Studies |date=2007 |volume=132 |issue=3 |pages=439–466 |doi=10.1007/s11098-005-2509-9 |s2cid=170556071 |url=https://philpapers.org/rec/BLOTDO |access-date=2022-08-18 |archive-date=2022-08-14 |archive-url=https://web.archive.org/web/20220814062403/https://philpapers.org/rec/BLOTDO |url-status=live }}</ref> So just because a certain heuristic or cognitive bias is present in a specific case, it should not be inferred that it should be present. One approach to these problems is to hold that descriptive and normative theories talk about different types of rationality. This way, there is no contradiction between the two and both can be correct in their own field. Similar problems are discussed in so-called [[naturalized epistemology]].<ref name="Knauff2021b"/><ref>{{cite web |last1=Rysiew |first1=Patrick |title=Naturalism in Epistemology |url=https://plato.stanford.edu/entries/epistemology-naturalized/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=10 August 2022 |date=2021 |archive-date=17 August 2022 |archive-url=https://web.archive.org/web/20220817114504/https://plato.stanford.edu/entries/epistemology-naturalized/ |url-status=live }}</ref>
Traditionally, it was often assumed that actual human reasoning should follow the rules described in normative theories. On this view, any discrepancy is a form of irrationality that should be avoided. However, this usually ignores the human limitations of the mind. Given these limitations, various discrepancies may be necessary (and in this sense ''rational'') to get the most useful results.<ref name="Knauff2021b"/><ref name="Harman2013"/><ref name="Moser2006"/> For example, the ideal rational norms of decision theory demand that the agent should always choose the option with the highest expected value. However, calculating the expected value of each option may take a very long time in complex situations and may not be worth the trouble. This is reflected in the fact that actual reasoners often settle for an option that is good enough without making certain that it is really the best option available.<ref name="Moser2006"/><ref name="Bendor2009"/> A further difficulty in this regard is [[Hume's law]], which states that one cannot deduce what ought to be based on what is.<ref>{{cite web |last1=Cohon |first1=Rachel |title=Hume's Moral Philosophy: 5. Is and ought |url=https://plato.stanford.edu/entries/hume-moral/#io |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=21 May 2021 |date=2018 |archive-date=10 January 2018 |archive-url=https://web.archive.org/web/20180110170335/https://plato.stanford.edu/entries/hume-moral/#io |url-status=live }}</ref><ref>{{cite journal |last1=Bloomfield |first1=P. |title=Two Dogmas of Metaethics |journal=Philosophical Studies |date=2007 |volume=132 |issue=3 |pages=439–466 |doi=10.1007/s11098-005-2509-9 |doi-broken-date=3 May 2024 |s2cid=170556071 |url=https://philpapers.org/rec/BLOTDO |access-date=2022-08-18 |archive-date=2022-08-14 |archive-url=https://web.archive.org/web/20220814062403/https://philpapers.org/rec/BLOTDO |url-status=live }}</ref> So just because a certain heuristic or cognitive bias is present in a specific case, it should not be inferred that it should be present. One approach to these problems is to hold that descriptive and normative theories talk about different types of rationality. This way, there is no contradiction between the two and both can be correct in their own field. Similar problems are discussed in so-called [[naturalized epistemology]].<ref name="Knauff2021b"/><ref>{{cite web |last1=Rysiew |first1=Patrick |title=Naturalism in Epistemology |url=https://plato.stanford.edu/entries/epistemology-naturalized/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=10 August 2022 |date=2021 |archive-date=17 August 2022 |archive-url=https://web.archive.org/web/20220817114504/https://plato.stanford.edu/entries/epistemology-naturalized/ |url-status=live }}</ref>


=== Conservatism and foundationalism ===
=== Conservatism and foundationalism ===
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Theoretical rationality concerns the rationality of cognitive mental states, in particular, of beliefs.<ref name="Mele2004a"/><ref name="Audi2004"/> It is common to distinguish between two factors. The first factor is about the fact that good reasons are necessary for a belief to be rational. This is usually understood in terms of evidence provided by the so-called [[sources of knowledge]], i.e. faculties like [[perception]], [[introspection]], and [[memory]]. In this regard, it is often argued that to be rational, the believer has to respond to the impressions or reasons presented by these sources. For example, the visual impression of the sunlight on a tree makes it rational to believe that the sun is shining.<ref name="Kolb2008"/><ref name="Mele2004a"/><ref name="Audi2004"/> In this regard, it may also be relevant whether the formed belief is involuntary and implicit
Theoretical rationality concerns the rationality of cognitive mental states, in particular, of beliefs.<ref name="Mele2004a"/><ref name="Audi2004"/> It is common to distinguish between two factors. The first factor is about the fact that good reasons are necessary for a belief to be rational. This is usually understood in terms of evidence provided by the so-called [[sources of knowledge]], i.e. faculties like [[perception]], [[introspection]], and [[memory]]. In this regard, it is often argued that to be rational, the believer has to respond to the impressions or reasons presented by these sources. For example, the visual impression of the sunlight on a tree makes it rational to believe that the sun is shining.<ref name="Kolb2008"/><ref name="Mele2004a"/><ref name="Audi2004"/> In this regard, it may also be relevant whether the formed belief is involuntary and implicit


The second factor pertains to the norms and procedures of rationality that govern how agents should form beliefs based on this evidence. These norms include the [[rules of inference]] discussed in regular [[logic]] as well as other norms of coherence between mental states.<ref name="Mele2004a"/><ref name="Audi2004"/> In the case of rules of inference, the premises of a [[Validity (logic)|valid]] argument offer support to the conclusion and make therefore the belief in the conclusion rational.<ref name="Kolb2008"/> The support offered by the premises can either be [[Deductive reasoning|deductive]] or [[Defeasible reasoning|non-deductive]].<ref name="Hintikka2006"/><ref>{{cite journal |last1=Backmann |first1=Marius |title=Varieties of Justification—How (Not) to Solve the Problem of Induction |journal=Acta Analytica |date=1 June 2019 |volume=34 |issue=2 |pages=235–255 |doi=10.1007/s12136-018-0371-6 |s2cid=125767384 |language=en |issn=1874-6349|doi-access=free }}</ref> In both cases, believing in the premises of an argument makes it rational to also believe in its conclusion. The difference between the two is given by how the premises support the conclusion. For deductive reasoning, the premises offer the strongest possible support: it is impossible for the conclusion to be false if the premises are true. The premises of non-deductive arguments also offer support for their conclusion. But this support is not absolute: the truth of the premises does not guarantee the truth of the conclusion. Instead, the premises make it more likely that the conclusion is true. In this case, it is usually demanded that the non-deductive support is sufficiently strong if the belief in the conclusion is to be rational.<ref name="Knauff2021a"/><ref name="Kolb2008"/><ref name="Hintikka2006"/>
The second factor pertains to the norms and procedures of rationality that govern how agents should form beliefs based on this evidence. These norms include the [[rules of inference]] discussed in regular [[logic]] as well as other norms of coherence between mental states.<ref name="Mele2004a"/><ref name="Audi2004"/> In the case of rules of inference, the premises of a [[Validity (logic)|valid]] argument offer support to the conclusion and make therefore the belief in the conclusion rational.<ref name="Kolb2008"/> The support offered by the premises can either be [[Deductive reasoning|deductive]] or [[Defeasible reasoning|non-deductive]].<ref name="Hintikka2006"/><ref>{{cite journal |last1=Backmann |first1=Marius |title=Varieties of Justification—How (Not) to Solve the Problem of Induction |journal=Acta Analytica |date=1 June 2019 |volume=34 |issue=2 |pages=235–255 |doi=10.1007/s12136-018-0371-6 |doi-broken-date=3 May 2024 |s2cid=125767384 |language=en |issn=1874-6349|doi-access=free }}</ref> In both cases, believing in the premises of an argument makes it rational to also believe in its conclusion. The difference between the two is given by how the premises support the conclusion. For deductive reasoning, the premises offer the strongest possible support: it is impossible for the conclusion to be false if the premises are true. The premises of non-deductive arguments also offer support for their conclusion. But this support is not absolute: the truth of the premises does not guarantee the truth of the conclusion. Instead, the premises make it more likely that the conclusion is true. In this case, it is usually demanded that the non-deductive support is sufficiently strong if the belief in the conclusion is to be rational.<ref name="Knauff2021a"/><ref name="Kolb2008"/><ref name="Hintikka2006"/>


An important form of theoretical irrationality is motivationally biased belief, sometimes referred to as [[wishful thinking]]. In this case, beliefs are formed based on one's desires or what is pleasing to imagine without proper evidential support.<ref name="Mele2004a"/><ref name="Mele2004b"/> Faulty reasoning in the form of [[Formal fallacy|formal]] and [[informal fallacies]] is another cause of theoretical irrationality.<ref>{{cite web |last1=Dowden |first1=Bradley |title=Fallacies |url=https://iep.utm.edu/fallacy/ |website=Internet Encyclopedia of Philosophy |access-date=19 March 2021 |archive-date=29 April 2010 |archive-url=https://web.archive.org/web/20100429214410/https://iep.utm.edu/fallacy/ |url-status=live }}</ref>
An important form of theoretical irrationality is motivationally biased belief, sometimes referred to as [[wishful thinking]]. In this case, beliefs are formed based on one's desires or what is pleasing to imagine without proper evidential support.<ref name="Mele2004a"/><ref name="Mele2004b"/> Faulty reasoning in the form of [[Formal fallacy|formal]] and [[informal fallacies]] is another cause of theoretical irrationality.<ref>{{cite web |last1=Dowden |first1=Bradley |title=Fallacies |url=https://iep.utm.edu/fallacy/ |website=Internet Encyclopedia of Philosophy |access-date=19 March 2021 |archive-date=29 April 2010 |archive-url=https://web.archive.org/web/20100429214410/https://iep.utm.edu/fallacy/ |url-status=live }}</ref>
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Most discussions and research in the academic literature focus on individual rationality. This concerns the rationality of individual persons, for example, whether their beliefs and actions are rational. But the question of rationality can also be applied to groups as a whole on the social level. This form of social or collective rationality concerns both theoretical and practical issues like group beliefs and group decisions.<ref name="Knauff2021b"/><ref name="Horodecka2021"/><ref>{{cite book |last1=Townley |first1=Barbara |title=Reason's Neglect: Rationality and Organizing |date=24 July 2008 |url=https://academic.oup.com/book/6224/chapter-abstract/149856255?redirectedFrom=fulltext |language=en |chapter=Collective rationality |access-date=18 August 2022 |archive-date=18 August 2022 |archive-url=https://web.archive.org/web/20220818103334/https://academic.oup.com/book/6224/chapter-abstract/149856255?redirectedFrom=fulltext |url-status=live }}</ref> And just like in the individual case, it is possible to study these phenomena as well as the processes and structures that are responsible for them. On the social level, there are various forms of cooperation to reach a shared goal. In the theoretical cases, a group of jurors may first discuss and then vote to determine whether the defendant is guilty. Or in the practical case, politicians may cooperate to implement new regulations to combat [[climate change]]. These forms of cooperation can be judged on their social rationality depending on how they are implemented and on the quality of the results they bear. Some theorists try to reduce social rationality to individual rationality by holding that the group processes are rational to the extent that the individuals participating in them are rational. But such a reduction is frequently rejected.<ref name="Knauff2021b"/><ref name="Horodecka2021"/>
Most discussions and research in the academic literature focus on individual rationality. This concerns the rationality of individual persons, for example, whether their beliefs and actions are rational. But the question of rationality can also be applied to groups as a whole on the social level. This form of social or collective rationality concerns both theoretical and practical issues like group beliefs and group decisions.<ref name="Knauff2021b"/><ref name="Horodecka2021"/><ref>{{cite book |last1=Townley |first1=Barbara |title=Reason's Neglect: Rationality and Organizing |date=24 July 2008 |url=https://academic.oup.com/book/6224/chapter-abstract/149856255?redirectedFrom=fulltext |language=en |chapter=Collective rationality |access-date=18 August 2022 |archive-date=18 August 2022 |archive-url=https://web.archive.org/web/20220818103334/https://academic.oup.com/book/6224/chapter-abstract/149856255?redirectedFrom=fulltext |url-status=live }}</ref> And just like in the individual case, it is possible to study these phenomena as well as the processes and structures that are responsible for them. On the social level, there are various forms of cooperation to reach a shared goal. In the theoretical cases, a group of jurors may first discuss and then vote to determine whether the defendant is guilty. Or in the practical case, politicians may cooperate to implement new regulations to combat [[climate change]]. These forms of cooperation can be judged on their social rationality depending on how they are implemented and on the quality of the results they bear. Some theorists try to reduce social rationality to individual rationality by holding that the group processes are rational to the extent that the individuals participating in them are rational. But such a reduction is frequently rejected.<ref name="Knauff2021b"/><ref name="Horodecka2021"/>


Various studies indicate that group rationality often outperforms individual rationality. For example, groups of people working together on the [[Wason selection task]] usually perform better than individuals by themselves. This form of group superiority is sometimes termed "wisdom of crowds" and may be explained based on the claim that competent individuals have a stronger impact on the group decision than others.<ref name="Knauff2021b"/><ref>{{cite journal |last1=Primicerio |first1=Kevin |last2=Challet |first2=Damien |last3=Gualdi |first3=Stanislao |title=Collective rationality and functional wisdom of the crowd in far-from-rational institutional investors |journal=Journal of Economic Interaction and Coordination |date=1 January 2021 |volume=16 |issue=1 |pages=153–171 |doi=10.1007/s11403-020-00288-0 |s2cid=225536288 |url=https://link.springer.com/article/10.1007/s11403-020-00288-0 |language=en |issn=1860-7128 |access-date=18 August 2022 |archive-date=18 August 2022 |archive-url=https://web.archive.org/web/20220818103340/https://link.springer.com/article/10.1007/s11403-020-00288-0 |url-status=live }}</ref> However, this is not always the case and sometimes groups perform worse due to conformity or unwillingness to bring up controversial issues.<ref name="Knauff2021b"/>
Various studies indicate that group rationality often outperforms individual rationality. For example, groups of people working together on the [[Wason selection task]] usually perform better than individuals by themselves. This form of group superiority is sometimes termed "wisdom of crowds" and may be explained based on the claim that competent individuals have a stronger impact on the group decision than others.<ref name="Knauff2021b"/><ref>{{cite journal |last1=Primicerio |first1=Kevin |last2=Challet |first2=Damien |last3=Gualdi |first3=Stanislao |title=Collective rationality and functional wisdom of the crowd in far-from-rational institutional investors |journal=Journal of Economic Interaction and Coordination |date=1 January 2021 |volume=16 |issue=1 |pages=153–171 |doi=10.1007/s11403-020-00288-0 |doi-broken-date=3 May 2024 |s2cid=225536288 |url=https://link.springer.com/article/10.1007/s11403-020-00288-0 |language=en |issn=1860-7128 |access-date=18 August 2022 |archive-date=18 August 2022 |archive-url=https://web.archive.org/web/20220818103340/https://link.springer.com/article/10.1007/s11403-020-00288-0 |url-status=live }}</ref> However, this is not always the case and sometimes groups perform worse due to conformity or unwillingness to bring up controversial issues.<ref name="Knauff2021b"/>


=== Others ===
=== Others ===
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The advantage in Weber's interpretation of rationality is that it avoids a value-laden assessment, say, that certain kinds of beliefs are irrational. Instead, Weber suggests that ground or motive can be given—for religious or affect reasons, for example—that may meet the criterion of explanation or justification even if it is not an explanation that fits the ''Zweckrational'' orientation of means and ends. The opposite is therefore also true: some means-ends explanations will not satisfy those whose grounds for action are ''Wertrational''.
The advantage in Weber's interpretation of rationality is that it avoids a value-laden assessment, say, that certain kinds of beliefs are irrational. Instead, Weber suggests that ground or motive can be given—for religious or affect reasons, for example—that may meet the criterion of explanation or justification even if it is not an explanation that fits the ''Zweckrational'' orientation of means and ends. The opposite is therefore also true: some means-ends explanations will not satisfy those whose grounds for action are ''Wertrational''.


Weber's constructions of rationality have been critiqued both from a [[Jürgen Habermas|Habermasian]] (1984) perspective (as devoid of social context and under-theorised in terms of social power)<ref>[[Jürgen Habermas]] (1984) ''The Theory of Communicative Action Volume&nbsp;1; Reason and the Rationalization of Society'', Cambridge: Polity Press.</ref> and also from a [[feminist]] perspective (Eagleton, 2003) whereby Weber's rationality constructs are viewed as imbued with masculine values and oriented toward the maintenance of male power.<ref>Eagleton, M. (ed) (2003) ''A Concise Companion to Feminist Theory'', Oxford: Blackwell Publishing.{{page needed|date=July 2019}}</ref> An alternative position on rationality (which includes both [[bounded rationality]],<ref>{{cite journal |last1=Hawkins |first1=David |last2=Simon |first2=Herbert A. |title=Note: Some Conditions of Macroeconomic Stability |journal=Econometrica |date=July 1949 |volume=17 |issue=3/4 |pages=245–8 |doi=10.2307/1905526 |jstor=1905526 }}</ref> as well as the affective and value-based arguments of Weber) can be found in the critique of Etzioni (1988),<ref>{{cite journal |last1=Etzioni |first1=Amitai |title=Normative-affective factors: Toward a new decision-making model |journal=Journal of Economic Psychology |date=June 1988 |volume=9 |issue=2 |pages=125–150 |doi=10.1016/0167-4870(88)90048-7 |s2cid=17871420 }} Republished in: {{cite book |doi=10.1007/978-3-662-03900-7_5 |chapter=Normative-Affective Factors: Toward a New Decision-Making Model |title=Essays in Socio-Economics |pages=91–119 |series=Studies in Economic Ethics and Philosophy |year=1999 |last1=Etzioni |first1=Amitai |isbn=978-3-642-08415-7 }}</ref> who reframes thought on decision-making to argue for a reversal of the position put forward by Weber. Etzioni illustrates how purposive/instrumental reasoning is subordinated by normative considerations (ideas on how people 'ought' to behave) and affective considerations (as a support system for the development of human relationships).
Weber's constructions of rationality have been critiqued both from a [[Jürgen Habermas|Habermasian]] (1984) perspective (as devoid of social context and under-theorised in terms of social power)<ref>[[Jürgen Habermas]] (1984) ''The Theory of Communicative Action Volume&nbsp;1; Reason and the Rationalization of Society'', Cambridge: Polity Press.</ref> and also from a [[feminist]] perspective (Eagleton, 2003) whereby Weber's rationality constructs are viewed as imbued with masculine values and oriented toward the maintenance of male power.<ref>Eagleton, M. (ed) (2003) ''A Concise Companion to Feminist Theory'', Oxford: Blackwell Publishing.{{page needed|date=July 2019}}</ref> An alternative position on rationality (which includes both [[bounded rationality]],<ref>{{cite journal |last1=Hawkins |first1=David |last2=Simon |first2=Herbert A. |title=Note: Some Conditions of Macroeconomic Stability |journal=Econometrica |date=July 1949 |volume=17 |issue=3/4 |pages=245–8 |doi=10.2307/1905526 |jstor=1905526 }}</ref> as well as the affective and value-based arguments of Weber) can be found in the critique of Etzioni (1988),<ref>{{cite journal |last1=Etzioni |first1=Amitai |title=Normative-affective factors: Toward a new decision-making model |journal=Journal of Economic Psychology |date=June 1988 |volume=9 |issue=2 |pages=125–150 |doi=10.1016/0167-4870(88)90048-7 |s2cid=17871420 }} Republished in: {{cite book |doi=10.1007/978-3-662-03900-7_5 |chapter=Normative-Affective Factors: Toward a New Decision-Making Model |title=Essays in Socio-Economics |pages=91–119 |series=Studies in Economic Ethics and Philosophy |year=1999 |last1=Etzioni |first1=Amitai |doi-broken-date=3 May 2024 |isbn=978-3-642-08415-7 }}</ref> who reframes thought on decision-making to argue for a reversal of the position put forward by Weber. Etzioni illustrates how purposive/instrumental reasoning is subordinated by normative considerations (ideas on how people 'ought' to behave) and affective considerations (as a support system for the development of human relationships).


===Richard Brandt===
===Richard Brandt===
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The [[Wason selection task]] is an influential test for studying rationality and reasoning abilities. In it, four cards are placed before the participants. Each has a number on one side and a letter on the opposite side. In one case, the visible sides of the four cards are A, D, 4, and 7. The participant is then asked which cards need to be turned around in order to verify the conditional claim "if there is a vowel on one side of the card, then there is an even number on the other side of the card". The correct answer is A and 7. But this answer is only given by about 10%. Many choose card 4 instead even though there is no requirement on what letters may appear on its opposite side.<ref name="Knauff2021b"/><ref name="Schechter2013"/><ref name="Evans2005"/> An important insight from using these and similar tests is that the rational ability of the participants is usually significantly better for concrete and realistic cases than for abstract or implausible cases.<ref name="Schechter2013"/><ref name="Evans2005"/> Various contemporary studies in this field use [[Bayesian probability theory]] to study subjective degrees of belief, for example, how the believer's certainty in the premises is carried over to the conclusion through reasoning.<ref name="Knauff2021b"/>
The [[Wason selection task]] is an influential test for studying rationality and reasoning abilities. In it, four cards are placed before the participants. Each has a number on one side and a letter on the opposite side. In one case, the visible sides of the four cards are A, D, 4, and 7. The participant is then asked which cards need to be turned around in order to verify the conditional claim "if there is a vowel on one side of the card, then there is an even number on the other side of the card". The correct answer is A and 7. But this answer is only given by about 10%. Many choose card 4 instead even though there is no requirement on what letters may appear on its opposite side.<ref name="Knauff2021b"/><ref name="Schechter2013"/><ref name="Evans2005"/> An important insight from using these and similar tests is that the rational ability of the participants is usually significantly better for concrete and realistic cases than for abstract or implausible cases.<ref name="Schechter2013"/><ref name="Evans2005"/> Various contemporary studies in this field use [[Bayesian probability theory]] to study subjective degrees of belief, for example, how the believer's certainty in the premises is carried over to the conclusion through reasoning.<ref name="Knauff2021b"/>


In the [[psychology of reasoning]], psychologists and [[Cognitive science|cognitive scientists]] have defended different positions on human rationality. One prominent view, due to [[Philip Johnson-Laird]] and [[Ruth M.&nbsp;J. Byrne]] among others is that humans are rational in principle but they err in practice, that is, humans have the competence to be rational but their performance is limited by various factors.<ref>{{cite journal |last1=Johnson-Laird |first1=Philip N. |last2=Byrne |first2=Ruth M. J. |title=Corrigendum: 'If' and the problems of conditional reasoning |journal=Trends in Cognitive Sciences |date=1 September 2009 |volume=13 |issue=9 |pages=282–287 |doi=10.1016/j.tics.2009.08.003 |s2cid=54389097 |doi-access=free }}</ref> However, it has been argued that many standard tests of reasoning, such as those on the [[conjunction fallacy]], on the [[Wason selection task]], or the [[base rate fallacy]] suffer from methodological and conceptual problems. This has led to disputes in psychology over whether researchers should (only) use standard rules of logic, probability theory and statistics, or rational choice theory as norms of good reasoning. Opponents of this view, such as [[Gerd Gigerenzer]], favor a conception of [[bounded rationality]], especially for tasks under high uncertainty.<ref>{{cite journal |last1=Sturm |first1=Thomas |title=The 'Rationality Wars' in Psychology: Where They Are and Where They Could Go |journal=Inquiry |date=February 2012 |volume=55 |issue=1 |pages=66–81 |doi=10.1080/0020174X.2012.643628 |s2cid=144877200 }}</ref> The concept of rationality continues to be debated by psychologists, economists and cognitive scientists.<ref>{{Cite journal|last1=Chater|first1=Nick|last2=Felin|first2=Teppo|last3=Funder|first3=David C.|last4=Gigerenzer|first4=Gerd|last5=Koenderink|first5=Jan J.|last6=Krueger|first6=Joachim I.|last7=Noble|first7=Denis|last8=Nordli|first8=Samuel A.|last9=Oaksford|first9=Mike|last10=Schwartz|first10=Barry|last11=Stanovich|first11=Keith E.|date=2018-04-01|title=Mind, rationality, and cognition: An interdisciplinary debate|url=https://doi.org/10.3758/s13423-017-1333-5|journal=Psychonomic Bulletin & Review|language=en|volume=25|issue=2|pages=793–826|doi=10.3758/s13423-017-1333-5|issn=1531-5320|pmc=5902517|pmid=28744767|access-date=2021-12-18|archive-date=2023-12-30|archive-url=https://web.archive.org/web/20231230142156/https://link.springer.com/article/10.3758/s13423-017-1333-5|url-status=live}}</ref>
In the [[psychology of reasoning]], psychologists and [[Cognitive science|cognitive scientists]] have defended different positions on human rationality. One prominent view, due to [[Philip Johnson-Laird]] and [[Ruth M.&nbsp;J. Byrne]] among others is that humans are rational in principle but they err in practice, that is, humans have the competence to be rational but their performance is limited by various factors.<ref>{{cite journal |last1=Johnson-Laird |first1=Philip N. |last2=Byrne |first2=Ruth M. J. |title=Corrigendum: 'If' and the problems of conditional reasoning |journal=Trends in Cognitive Sciences |date=1 September 2009 |volume=13 |issue=9 |pages=282–287 |doi=10.1016/j.tics.2009.08.003 |s2cid=54389097 |doi-access=free }}</ref> However, it has been argued that many standard tests of reasoning, such as those on the [[conjunction fallacy]], on the [[Wason selection task]], or the [[base rate fallacy]] suffer from methodological and conceptual problems. This has led to disputes in psychology over whether researchers should (only) use standard rules of logic, probability theory and statistics, or rational choice theory as norms of good reasoning. Opponents of this view, such as [[Gerd Gigerenzer]], favor a conception of [[bounded rationality]], especially for tasks under high uncertainty.<ref>{{cite journal |last1=Sturm |first1=Thomas |title=The 'Rationality Wars' in Psychology: Where They Are and Where They Could Go |journal=Inquiry |date=February 2012 |volume=55 |issue=1 |pages=66–81 |doi=10.1080/0020174X.2012.643628 |s2cid=144877200 }}</ref> The concept of rationality continues to be debated by psychologists, economists and cognitive scientists.<ref>{{Cite journal|last1=Chater|first1=Nick|last2=Felin|first2=Teppo|last3=Funder|first3=David C.|last4=Gigerenzer|first4=Gerd|last5=Koenderink|first5=Jan J.|last6=Krueger|first6=Joachim I.|last7=Noble|first7=Denis|last8=Nordli|first8=Samuel A.|last9=Oaksford|first9=Mike|last10=Schwartz|first10=Barry|last11=Stanovich|first11=Keith E.|date=2018-04-01|title=Mind, rationality, and cognition: An interdisciplinary debate|url=https://doi.org/10.3758/s13423-017-1333-5|journal=Psychonomic Bulletin & Review|language=en|volume=25|issue=2|pages=793–826|doi=10.3758/s13423-017-1333-5|doi-broken-date=3 May 2024 |issn=1531-5320|pmc=5902517|pmid=28744767|access-date=2021-12-18|archive-date=2023-12-30|archive-url=https://web.archive.org/web/20231230142156/https://link.springer.com/article/10.3758/s13423-017-1333-5|url-status=live}}</ref>


The psychologist [[Jean Piaget]] gave an influential account of how the stages in human development from childhood to adulthood can be understood in terms of the increase of rational and logical abilities.<ref name="Knauff2021b"/><ref>{{cite web |title=Philosophy of logic |url=https://www.britannica.com/topic/philosophy-of-logic |website=www.britannica.com |access-date=21 November 2021 |language=en |archive-date=28 April 2015 |archive-url=https://web.archive.org/web/20150428101732/http://www.britannica.com/EBchecked/topic/346240/philosophy-of-logic |url-status=live }}</ref><ref>{{cite book |last1=Inhelder |first1=Bärbel |last2=Piaget |first2=Jean |title=The Growth of Logical Thinking from Childhood to Adolescence: An Essay on the Construction of Formal Operational Structures |date=1958 |publisher=Psychology Press |isbn=978-0-415-21002-7 |url=https://books.google.com/books?id=39cdDv2-PZkC |language=en |chapter=Part I: The development of propositional logic |access-date=2022-08-19 |archive-date=2023-12-30 |archive-url=https://web.archive.org/web/20231230142129/https://books.google.com/books?id=39cdDv2-PZkC |url-status=live }}</ref><ref>{{cite journal |last1=Parsons |first1=Charles |title=Inhelder and Piaget's the Growth of Logical Thinking† |journal=British Journal of Psychology |date=1960 |volume=51 |issue=1 |pages=75–84 |doi=10.1111/j.2044-8295.1960.tb00727.x |pmid=14430621 |url=https://bpspsychub.onlinelibrary.wiley.com/doi/abs/10.1111/j.2044-8295.1960.tb00727.x |language=en |issn=2044-8295 |access-date=2022-08-19 |archive-date=2021-12-07 |archive-url=https://web.archive.org/web/20211207184951/https://bpspsychub.onlinelibrary.wiley.com/doi/abs/10.1111/j.2044-8295.1960.tb00727.x |url-status=live }}</ref> He identifies four stages associated with rough age groups: the sensorimotor stage below the age of two, the preoperational state until the age of seven, the concrete operational stage until the age of eleven, and the formal operational stage afterward. Rational or logical reasoning only takes place in the last stage and is related to abstract [[thinking]], [[concept formation]], reasoning, planning, and [[problem-solving]].<ref name="Knauff2021b"/>
The psychologist [[Jean Piaget]] gave an influential account of how the stages in human development from childhood to adulthood can be understood in terms of the increase of rational and logical abilities.<ref name="Knauff2021b"/><ref>{{cite web |title=Philosophy of logic |url=https://www.britannica.com/topic/philosophy-of-logic |website=www.britannica.com |access-date=21 November 2021 |language=en |archive-date=28 April 2015 |archive-url=https://web.archive.org/web/20150428101732/http://www.britannica.com/EBchecked/topic/346240/philosophy-of-logic |url-status=live }}</ref><ref>{{cite book |last1=Inhelder |first1=Bärbel |last2=Piaget |first2=Jean |title=The Growth of Logical Thinking from Childhood to Adolescence: An Essay on the Construction of Formal Operational Structures |date=1958 |publisher=Psychology Press |isbn=978-0-415-21002-7 |url=https://books.google.com/books?id=39cdDv2-PZkC |language=en |chapter=Part I: The development of propositional logic |access-date=2022-08-19 |archive-date=2023-12-30 |archive-url=https://web.archive.org/web/20231230142129/https://books.google.com/books?id=39cdDv2-PZkC |url-status=live }}</ref><ref>{{cite journal |last1=Parsons |first1=Charles |title=Inhelder and Piaget's the Growth of Logical Thinking† |journal=British Journal of Psychology |date=1960 |volume=51 |issue=1 |pages=75–84 |doi=10.1111/j.2044-8295.1960.tb00727.x |pmid=14430621 |url=https://bpspsychub.onlinelibrary.wiley.com/doi/abs/10.1111/j.2044-8295.1960.tb00727.x |language=en |issn=2044-8295 |access-date=2022-08-19 |archive-date=2021-12-07 |archive-url=https://web.archive.org/web/20211207184951/https://bpspsychub.onlinelibrary.wiley.com/doi/abs/10.1111/j.2044-8295.1960.tb00727.x |url-status=live }}</ref> He identifies four stages associated with rough age groups: the sensorimotor stage below the age of two, the preoperational state until the age of seven, the concrete operational stage until the age of eleven, and the formal operational stage afterward. Rational or logical reasoning only takes place in the last stage and is related to abstract [[thinking]], [[concept formation]], reasoning, planning, and [[problem-solving]].<ref name="Knauff2021b"/>
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<ref name="Pinker2022">{{cite web |last1=Pinker |first1=Steven |title=rationality |url=https://www.britannica.com/topic/rationality |website=www.britannica.com |access-date=6 August 2022 |language=en |archive-date=14 August 2022 |archive-url=https://web.archive.org/web/20220814153740/https://www.britannica.com/topic/rationality |url-status=live }}</ref>
<ref name="Pinker2022">{{cite web |last1=Pinker |first1=Steven |title=rationality |url=https://www.britannica.com/topic/rationality |website=www.britannica.com |access-date=6 August 2022 |language=en |archive-date=14 August 2022 |archive-url=https://web.archive.org/web/20220814153740/https://www.britannica.com/topic/rationality |url-status=live }}</ref>
<ref name="Frankena1983">{{cite journal |last1=Frankena |first1=William K. |title=Concepts of Rational Action in the History of Ethics |journal=Social Theory and Practice |date=1983 |volume=9 |issue=2/3 |pages=165–197 |doi=10.5840/soctheorpract198392/37 |jstor=23558957 |url=https://www.jstor.org/stable/23558957 |issn=0037-802X |access-date=2022-08-14 |archive-date=2022-08-14 |archive-url=https://web.archive.org/web/20220814153740/https://www.jstor.org/stable/23558957 |url-status=live }}</ref>
<ref name="Frankena1983">{{cite journal |last1=Frankena |first1=William K. |title=Concepts of Rational Action in the History of Ethics |journal=Social Theory and Practice |date=1983 |volume=9 |issue=2/3 |pages=165–197 |doi=10.5840/soctheorpract198392/37 |jstor=23558957 |url=https://www.jstor.org/stable/23558957 |issn=0037-802X |access-date=2022-08-14 |archive-date=2022-08-14 |archive-url=https://web.archive.org/web/20220814153740/https://www.jstor.org/stable/23558957 |url-status=live }}</ref>
<ref name="Langsam2008">{{cite journal |last1=Langsam |first1=Harold |title=Rationality, Justification, and the Internalism/Externalism Debate |journal=Erkenntnis |date=1 January 2008 |volume=68 |issue=1 |pages=79–101 |doi=10.1007/s10670-007-9059-9 |s2cid=144602049 |url=https://link.springer.com/article/10.1007/s10670-007-9059-9 |language=en |issn=1572-8420 |access-date=18 August 2022 |archive-date=18 August 2022 |archive-url=https://web.archive.org/web/20220818102627/https://link.springer.com/article/10.1007/s10670-007-9059-9 |url-status=live }}</ref>
<ref name="Langsam2008">{{cite journal |last1=Langsam |first1=Harold |title=Rationality, Justification, and the Internalism/Externalism Debate |journal=Erkenntnis |date=1 January 2008 |volume=68 |issue=1 |pages=79–101 |doi=10.1007/s10670-007-9059-9 |doi-broken-date=3 May 2024 |s2cid=144602049 |url=https://link.springer.com/article/10.1007/s10670-007-9059-9 |language=en |issn=1572-8420 |access-date=18 August 2022 |archive-date=18 August 2022 |archive-url=https://web.archive.org/web/20220818102627/https://link.springer.com/article/10.1007/s10670-007-9059-9 |url-status=live }}</ref>
<ref name="Finlay2008">{{cite web |last1=Finlay |first1=Stephen |last2=Schroeder |first2=Mark |title=Reasons for Action: Internal vs. External |url=https://plato.stanford.edu/entries/reasons-internal-external/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=10 August 2022 |date=2017 |archive-date=10 July 2022 |archive-url=https://web.archive.org/web/20220710165825/https://plato.stanford.edu/entries/reasons-internal-external/ |url-status=live }}</ref>
<ref name="Finlay2008">{{cite web |last1=Finlay |first1=Stephen |last2=Schroeder |first2=Mark |title=Reasons for Action: Internal vs. External |url=https://plato.stanford.edu/entries/reasons-internal-external/ |website=The Stanford Encyclopedia of Philosophy |publisher=Metaphysics Research Lab, Stanford University |access-date=10 August 2022 |date=2017 |archive-date=10 July 2022 |archive-url=https://web.archive.org/web/20220710165825/https://plato.stanford.edu/entries/reasons-internal-external/ |url-status=live }}</ref>
<ref name="Broome2007">{{cite journal |last1=Broome |first1=John |title=Is Rationality Normative? |journal=Disputatio |date=2007 |volume=2 |issue=23 |pages=161–178 |doi=10.2478/disp-2007-0008 |s2cid=171079649 |url=https://philpapers.org/rec/BROIRN |doi-access=free |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055017/https://philpapers.org/rec/BROIRN |url-status=live }}</ref>
<ref name="Broome2007">{{cite journal |last1=Broome |first1=John |title=Is Rationality Normative? |journal=Disputatio |date=2007 |volume=2 |issue=23 |pages=161–178 |doi=10.2478/disp-2007-0008 |s2cid=171079649 |url=https://philpapers.org/rec/BROIRN |doi-access=free |access-date=2021-06-07 |archive-date=2021-06-07 |archive-url=https://web.archive.org/web/20210607055017/https://philpapers.org/rec/BROIRN |url-status=live }}</ref>
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<ref name="Harman2004">{{cite book |last1=Harman |first1=Gilbert |editor-first1=Alfred R |editor-first2=Piers |editor-last1=Mele |editor-last2=Rawling |title=The Oxford Handbook of Rationality |date=2004 |publisher=Oxford University Press |isbn=978-0-19-514539-7 |url=https://oxford.universitypressscholarship.com/view/10.1093/0195145399.001.0001/acprof-9780195145397-chapter-3 |chapter=PRACTICAL ASPECTS OF THEORETICAL REASONING |doi=10.1093/0195145399.001.0001 |access-date=2022-08-14 |archive-date=2023-12-30 |archive-url=https://web.archive.org/web/20231230142639/https://academic.oup.com/oxford-scholarship-online |url-status=live }}</ref>
<ref name="Harman2004">{{cite book |last1=Harman |first1=Gilbert |editor-first1=Alfred R |editor-first2=Piers |editor-last1=Mele |editor-last2=Rawling |title=The Oxford Handbook of Rationality |date=2004 |publisher=Oxford University Press |isbn=978-0-19-514539-7 |url=https://oxford.universitypressscholarship.com/view/10.1093/0195145399.001.0001/acprof-9780195145397-chapter-3 |chapter=PRACTICAL ASPECTS OF THEORETICAL REASONING |doi=10.1093/0195145399.001.0001 |access-date=2022-08-14 |archive-date=2023-12-30 |archive-url=https://web.archive.org/web/20231230142639/https://academic.oup.com/oxford-scholarship-online |url-status=live }}</ref>
<ref name="Mele2004b">{{cite book |last1=Mele |first1=Alfred R. |editor-first1=Alfred R |editor-first2=Piers |editor-last1=Mele |editor-last2=Rawling |title=The Oxford Handbook of Rationality |date=2004 |publisher=Oxford University Press |isbn=978-0-19-514539-7 |url=https://oxford.universitypressscholarship.com/view/10.1093/0195145399.001.0001/acprof-9780195145397-chapter-13 |chapter=MOTIVATED IRRATIONALITY |doi=10.1093/0195145399.001.0001 |access-date=2022-08-14 |archive-date=2023-12-30 |archive-url=https://web.archive.org/web/20231230142713/https://academic.oup.com/oxford-scholarship-online |url-status=live }}</ref>
<ref name="Mele2004b">{{cite book |last1=Mele |first1=Alfred R. |editor-first1=Alfred R |editor-first2=Piers |editor-last1=Mele |editor-last2=Rawling |title=The Oxford Handbook of Rationality |date=2004 |publisher=Oxford University Press |isbn=978-0-19-514539-7 |url=https://oxford.universitypressscholarship.com/view/10.1093/0195145399.001.0001/acprof-9780195145397-chapter-13 |chapter=MOTIVATED IRRATIONALITY |doi=10.1093/0195145399.001.0001 |access-date=2022-08-14 |archive-date=2023-12-30 |archive-url=https://web.archive.org/web/20231230142713/https://academic.oup.com/oxford-scholarship-online |url-status=live }}</ref>
<ref name="Horodecka2021">{{cite book |last1=Horodecka |first1=Anna |last2=Vozna |first2=Liudmyla |title=Words, Objects and Events in Economics |chapter=Between Individual and Collective Rationality |series=Virtues and Economics |date=2021 |volume=6 |publisher=Springer International Publishing |isbn=978-3-030-52673-3 |pages=139–158 |chapter-url=https://link.springer.com/chapter/10.1007/978-3-030-52673-3_9 |language=en |doi=10.1007/978-3-030-52673-3_9 |s2cid=224838593 |access-date=2022-08-18 |archive-date=2022-08-18 |archive-url=https://web.archive.org/web/20220818103311/https://link.springer.com/chapter/10.1007/978-3-030-52673-3_9 |url-status=live }}</ref>
<ref name="Horodecka2021">{{cite book |last1=Horodecka |first1=Anna |last2=Vozna |first2=Liudmyla |title=Words, Objects and Events in Economics |chapter=Between Individual and Collective Rationality |series=Virtues and Economics |date=2021 |volume=6 |publisher=Springer International Publishing |isbn=978-3-030-52673-3 |pages=139–158 |chapter-url=https://link.springer.com/chapter/10.1007/978-3-030-52673-3_9 |language=en |doi=10.1007/978-3-030-52673-3_9 |doi-broken-date=3 May 2024 |s2cid=224838593 |access-date=2022-08-18 |archive-date=2022-08-18 |archive-url=https://web.archive.org/web/20220818103311/https://link.springer.com/chapter/10.1007/978-3-030-52673-3_9 |url-status=live }}</ref>
<ref name="Rysiew2012">{{cite web |last1=Rysiew |first1=Patrick |title=Rationality |url=https://www.oxfordbibliographies.com/view/document/obo-9780195396577/obo-9780195396577-0175.xml |website=Oxford Bibliographies |access-date=6 August 2022 |language=en |archive-date=11 August 2022 |archive-url=https://web.archive.org/web/20220811195713/https://www.oxfordbibliographies.com/view/document/obo-9780195396577/obo-9780195396577-0175.xml |url-status=live }}</ref>
<ref name="Rysiew2012">{{cite web |last1=Rysiew |first1=Patrick |title=Rationality |url=https://www.oxfordbibliographies.com/view/document/obo-9780195396577/obo-9780195396577-0175.xml |website=Oxford Bibliographies |access-date=6 August 2022 |language=en |archive-date=11 August 2022 |archive-url=https://web.archive.org/web/20220811195713/https://www.oxfordbibliographies.com/view/document/obo-9780195396577/obo-9780195396577-0175.xml |url-status=live }}</ref>
<ref name="Knauff2021b">{{cite book |last1=Knauff |first1=Markus |last2=Spohn |first2=Wolfgang |editor1-last=Knauff |editor1-first=Markus |editor2-last=Spohn |editor2-first=Wolfgang |title=The Handbook of Rationality |date=14 December 2021 |publisher=MIT Press |isbn=978-0-262-04507-0 |url=https://books.google.com/books?id=xVgjEAAAQBAJ |language=en |chapter=Psychological and Philosophical Frameworks of Rationality - A Systematic Introduction |access-date=14 August 2022 |archive-date=30 December 2023 |archive-url=https://web.archive.org/web/20231230142637/https://books.google.com/books?id=xVgjEAAAQBAJ |url-status=live }}</ref>
<ref name="Knauff2021b">{{cite book |last1=Knauff |first1=Markus |last2=Spohn |first2=Wolfgang |editor1-last=Knauff |editor1-first=Markus |editor2-last=Spohn |editor2-first=Wolfgang |title=The Handbook of Rationality |date=14 December 2021 |publisher=MIT Press |isbn=978-0-262-04507-0 |url=https://books.google.com/books?id=xVgjEAAAQBAJ |language=en |chapter=Psychological and Philosophical Frameworks of Rationality - A Systematic Introduction |access-date=14 August 2022 |archive-date=30 December 2023 |archive-url=https://web.archive.org/web/20231230142637/https://books.google.com/books?id=xVgjEAAAQBAJ |url-status=live }}</ref>
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Symbols: ~ | ¡ ¿ † ‡ ↔ ↑ ↓ • ¶   # ∞   ‹› «»   ¤ ₳ ฿ ₵ ¢ ₡ ₢ $ ₫ ₯ € ₠ ₣ ƒ ₴ ₭ ₤ ℳ ₥ ₦ № ₧ ₰ £ ៛ ₨ ₪ ৳ ₮ ₩ ¥   ♠ ♣ ♥ ♦   𝄫 ♭ ♮ ♯ 𝄪   © ® ™
Latin: A a Á á À à  â Ä ä Ǎ ǎ Ă ă Ā ā à ã Å å Ą ą Æ æ Ǣ ǣ   B b   C c Ć ć Ċ ċ Ĉ ĉ Č č Ç ç   D d Ď ď Đ đ Ḍ ḍ Ð ð   E e É é È è Ė ė Ê ê Ë ë Ě ě Ĕ ĕ Ē ē Ẽ ẽ Ę ę Ẹ ẹ Ɛ ɛ Ǝ ǝ Ə ə   F f   G g Ġ ġ Ĝ ĝ Ğ ğ Ģ ģ   H h Ĥ ĥ Ħ ħ Ḥ ḥ   I i İ ı Í í Ì ì Î î Ï ï Ǐ ǐ Ĭ ĭ Ī ī Ĩ ĩ Į į Ị ị   J j Ĵ ĵ   K k Ķ ķ   L l Ĺ ĺ Ŀ ŀ Ľ ľ Ļ ļ Ł ł Ḷ ḷ Ḹ ḹ   M m Ṃ ṃ   N n Ń ń Ň ň Ñ ñ Ņ ņ Ṇ ṇ Ŋ ŋ   O o Ó ó Ò ò Ô ô Ö ö Ǒ ǒ Ŏ ŏ Ō ō Õ õ Ǫ ǫ Ọ ọ Ő ő Ø ø Œ œ   Ɔ ɔ   P p   Q q   R r Ŕ ŕ Ř ř Ŗ ŗ Ṛ ṛ Ṝ ṝ   S s Ś ś Ŝ ŝ Š š Ş ş Ș ș Ṣ ṣ ß   T t Ť ť Ţ ţ Ț ț Ṭ ṭ Þ þ   U u Ú ú Ù ù Û û Ü ü Ǔ ǔ Ŭ ŭ Ū ū Ũ ũ Ů ů Ų ų Ụ ụ Ű ű Ǘ ǘ Ǜ ǜ Ǚ ǚ Ǖ ǖ   V v   W w Ŵ ŵ   X x   Y y Ý ý Ŷ ŷ Ÿ ÿ Ỹ ỹ Ȳ ȳ   Z z Ź ź Ż ż Ž ž   ß Ð ð Þ þ Ŋ ŋ Ə ə
Greek: Ά ά Έ έ Ή ή Ί ί Ό ό Ύ ύ Ώ ώ   Α α Β β Γ γ Δ δ   Ε ε Ζ ζ Η η Θ θ   Ι ι Κ κ Λ λ Μ μ   Ν ν Ξ ξ Ο ο Π π   Ρ ρ Σ σ ς Τ τ Υ υ   Φ φ Χ χ Ψ ψ Ω ω   {{Polytonic|}}
Cyrillic: А а Б б В в Г г   Ґ ґ Ѓ ѓ Д д Ђ ђ   Е е Ё ё Є є Ж ж   З з Ѕ ѕ И и І і   Ї ї Й й Ј ј К к   Ќ ќ Л л Љ љ М м   Н н Њ њ О о П п   Р р С с Т т Ћ ћ   У у Ў ў Ф ф Х х   Ц ц Ч ч Џ џ Ш ш   Щ щ Ъ ъ Ы ы Ь ь   Э э Ю ю Я я   ́
IPA: t̪ d̪ ʈ ɖ ɟ ɡ ɢ ʡ ʔ   ɸ β θ ð ʃ ʒ ɕ ʑ ʂ ʐ ç ʝ ɣ χ ʁ ħ ʕ ʜ ʢ ɦ   ɱ ɳ ɲ ŋ ɴ   ʋ ɹ ɻ ɰ   ʙ ⱱ ʀ ɾ ɽ   ɫ ɬ ɮ ɺ ɭ ʎ ʟ   ɥ ʍ ɧ   ʼ   ɓ ɗ ʄ ɠ ʛ   ʘ ǀ ǃ ǂ ǁ   ɨ ʉ ɯ   ɪ ʏ ʊ   ø ɘ ɵ ɤ   ə ɚ   ɛ œ ɜ ɝ ɞ ʌ ɔ   æ   ɐ ɶ ɑ ɒ   ʰ ʱ ʷ ʲ ˠ ˤ ⁿ ˡ   ˈ ˌ ː ˑ ̪   {{IPA|}}

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  • rationality: Title, Sitelink, Some statements, Description: en, Miscellaneous (e.g. aliases, entity existence)

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