Results for 'Hypothetical Syllogisms'

461 found
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  1. Wholly Hypothetical Syllogisms.Susanne Bobzien - 2000 - Phronesis 45 (2):87-137.
    ABSTRACT: In antiquity we encounter a distinction of two types of hypothetical syllogisms. One type are the ‘mixed hypothetical syllogisms’. The other type is the one to which the present paper is devoted. These arguments went by the name of ‘wholly hypothetical syllogisms’. They were thought to make up a self-contained system of valid arguments. Their paradigm case consists of two conditionals as premisses, and a third as conclusion. Their presentation, either schematically or by (...)
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  2. The Stoics on Hypotheses and Hypothetical Arguments.Susanne Bobzien - 1997 - Phronesis 42 (3):299-312.
    ABSTRACT: In this paper I argue (i) that the hypothetical arguments about which the Stoic Chrysippus wrote numerous books (DL 7.196) are not to be confused with the so-called hypothetical syllogisms" but are the same hypothetical arguments as those mentioned five times in Epictetus (e.g. Diss. 1.25.11-12); and (ii) that these hypothetical arguments are formed by replacing in a non-hypothetical argument one (or more) of the premisses by a Stoic "hypothesis" or supposition. Such "hypotheses" (...)
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  3. Peripatetic Hypothetical Syllogistic in Galen.Susanne Bobzien - 2004 - Rhizai. A Journal for Ancient Philosophy and Science 2:57-102.
    ABSTRACT: Galen’s Institutio Logica is the only introduction to logic in Greek that has survived from antiquity. In it we find a theory that bears some resemblance to propositional logic. The theory is commonly understood as being essentially Stoic. However, this understanding of the text leaves us with a large number of inconsistencies and oddities. In this paper I offer an comprehensive alternative interpretation of the theory. I suggest that it is Peripatetic at base, and has drawn on Stoic elements, (...)
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  4. The Development of Modus Ponens in Antiquity: From Aristotle to the 2nd Century AD.Susanne Bobzien - 2002 - Phronesis 47 (4):359-394.
    ABSTRACT: This paper traces the earliest development of the most basic principle of deduction, i.e. modus ponens (or Law of Detachment). ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss such arguments, nor did he (...)
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  5. From Syllogism to Predicate Calculus.Thomas J. McQuade - 1994 - Teaching Philosophy 17 (4):293-309.
    The purpose of this paper is to outline an alternative approach to introductory logic courses. Traditional logic courses usually focus on the method of natural deduction or introduce predicate calculus as a system. These approaches complicate the process of learning different techniques for dealing with categorical and hypothetical syllogisms such as alternate notations or alternate forms of analyzing syllogisms. The author's approach takes up observations made by Dijkstrata and assimilates them into a reasoning process based on modified (...)
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  6. Morality is necessary for happiness.Paul Bloomfield - 2017 - Philosophical Studies 174 (10):2613-2628.
    An argument for the eponymous conclusion is given through a series of hypothetical syllogisms, the most basic of which is as follows: morality is necessary for self-respect; self-respect is necessary for happiness; therefore, morality is necessary for happiness. Some of the most obvious objections are entertained and rejected.
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  7. Future Logic: Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities.Avi Sion - 1996 - Geneva, Switzerland: CreateSpace & Kindle; Lulu..
    Future Logic is an original, and wide-ranging treatise of formal logic. It deals with deduction and induction, of categorical and conditional propositions, involving the natural, temporal, extensional, and logical modalities. Traditional and Modern logic have covered in detail only formal deduction from actual categoricals, or from logical conditionals (conjunctives, hypotheticals, and disjunctives). Deduction from modal categoricals has also been considered, though very vaguely and roughly; whereas deduction from natural, temporal and extensional forms of conditioning has been all but totally ignored. (...)
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  8. Hypothetical Frequencies as Approximations.Jer Steeger - 2024 - Erkenntnis 89 (4):1295-1325.
    Hájek (Erkenntnis 70(2):211–235, 2009) argues that probabilities cannot be the limits of relative frequencies in counterfactual infinite sequences. I argue for a different understanding of these limits, drawing on Norton’s (Philos Sci 79(2):207–232, 2012) distinction between approximations (inexact descriptions of a target) and idealizations (separate models that bear analogies to the target). Then, I adapt Hájek’s arguments to this new context. These arguments provide excellent reasons not to use hypothetical frequencies as idealizations, but no reason not to use them (...)
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  9. Apodeictic syllogisms: Deductions and decision procedures.Fred Johnson - 1995 - History and Philosophy of Logic 16 (1):1-18.
    One semantic and two syntactic decision procedures are given for determining the validity of Aristotelian assertoric and apodeictic syllogisms. Results are obtained by using the Aristotelian deductions that necessarily have an even number of premises.
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  10. Why Hypothetical Syllogism is Invalid for Indicative Conditionals.Moti Mizrahi - 2013 - Thought: A Journal of Philosophy 2 (1):40-43.
    In this article, I present a schema for generating counterexamples to the argument form known as Hypothetical Syllogism with indicative conditionals. If my schema for generating counterexamples to HS works as I think it does, then HS is invalid for indicative conditionals.
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  11. Hypothetical Consent and Justification.Cynthia A. Stark - 2000 - Journal of Philosophy 97 (6):313.
    Hypothetical contracts have been said to be not worth the paper they are not written on. This paper defends hypothetical consent theories of justice, such as Rawls's, against the view that they lack justificatory power. I argue that while hypothetical consent cannot generate political obligation, it can generate political legitimacy.
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  12. Parry Syllogisms.Fred Johnson - 1999 - Notre Dame Journal of Formal Logic 40 (3):414-419.
    Parry discusses an extension of Aristotle's syllogistic that uses four nontraditional quantifiers. We show that his conjectured decision procedure for validity for the extended syllogistic is correct even if syllogisms have more than two premises. And we axiomatize this extension of the syllogistic.
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  13. Syllogisms with fractional quantifiers.Fred Johnson - 1994 - Journal of Philosophical Logic 23 (4):401 - 422.
    Aristotle's syllogistic is extended to include denumerably many quantifiers such as 'more than 2/3' and 'exactly 2/3.' Syntactic and semantic decision procedures determine the validity, or invalidity, of syllogisms with any finite number of premises. One of the syntactic procedures uses a natural deduction account of deducibility, which is sound and complete. The semantics for the system is non-classical since sentences may be assigned a value other than true or false. Results about symmetric systems are given. And reasons are (...)
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  14. Against Hypothetical Syllogism.Lee Walters - 2014 - Journal of Philosophical Logic 43 (5):979-997.
    The debate over Hypothetical Syllogism is locked in stalemate. Although putative natural language counterexamples to Hypothetical Syllogism abound, many philosophers defend Hypothetical Syllogism, arguing that the alleged counterexamples involve an illicit shift in context. The proper lesson to draw from the putative counterexamples, they argue, is that natural language conditionals are context-sensitive conditionals which obey Hypothetical Syllogism. In order to make progress on the issue, I consider and improve upon Morreau’s proof of the invalidity of (...) Syllogism. The improved proof relies upon the semantic claim that conditionals with antecedents irrelevant to the obtaining of an already true consequent are themselves true. Moreover, this semantic insight allows us to provide compelling counterexamples to Hypothetical Syllogism that are resistant to the usual contextualist response. (shrink)
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  15. Hypothetical and Categorical Epistemic Normativity.Chase B. Wrenn - 2004 - Southern Journal of Philosophy 42 (2):273-290.
    In this paper, I consider an argument of Harvey Siegel's according to which there can be no hypothetical normativity anywhere unless there is categorical normativity in epistemology. The argument fails because it falsely assumes people must be bound by epistemic norms in order to have justified beliefs.
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  16. Hypothetical imperatives: Scope and jurisdiction.Mark Schroeder - forthcoming - In Robert Johnson & Mark Timmons (eds.), (unknown). Oxford University Press.
    The last few decades have given rise to the study of practical reason as a legitimate subfield of philosophy in its own right, concerned with the nature of practical rationality, its relationship to theoretical rationality, and the explanatory relationship between reasons, rationality, and agency in general. Among the most central of the topics whose blossoming study has shaped this field, is the nature and structure of instrumental rationality, the topic to which Kant has to date made perhaps the largest contribution, (...)
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  17. Syllogisms and existence in aristotle’s posterior analytics.Joseph Karbowski - 2019 - Manuscrito 42 (4):211-242.
    In this paper I examine how Aristotle thinks syllogisms establish existence. I argue against the traditional "Instantiation" reading and in favor of an alternative "causal" or "structural" account of existential syllogisms. On my interpretation, syllogisms establish the existence of kinds by revealing that they are per se unities whose features are causally underwritten by a single cause/essence. They do so by tracing correlations between propria--peculiar, coextensive features--of the kind in question.
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  18. Hypothetical Justifications.Bernd Lahno - 2009 - RMM:67-82.
    A basic conviction in moral non-cognitivism is: only hypothetical norms may be justified. Hartmut Kliemt argues for a moderate variant: there are only hypothetical justifications of norms whether the norms are hypothetical or categorical in kind. In this paper the con- cept of ‘hypothetical justification’ is analyzed. It is argued that hypothetical justifications are not of the kind that we should look for in normative ethics.
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  19. The Significance of the Hypothetical in Natural Science.Michael Heidelberger & Gregor Schiemann (eds.) - 2009 - De Gruyter.
    How was the hypothetical character of theories of experience thought about throughout the history of science? The essays cover periods from the middle ages to the 19th and 20th centuries. It is fascinating to see how natural scientists and philosophers were increasingly forced to realize that a natural science without hypotheses is not possible.
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  20. Hypothetical motivation.Donald C. Hubin - 1996 - Noûs 30 (1):31-54.
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  21. Conditionals, Modals, and Hypothetical Syllogism.Lee Walters - 2014 - Thought: A Journal of Philosophy 3 (1):90-97.
    Moti Mizrahi (2013) presents some novel counterexamples to Hypothetical Syllogism (HS) for indicative conditionals. I show that they are not compelling as they neglect the complicated ways in which conditionals and modals interact. I then briefly outline why HS should nevertheless be rejected.
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  22. Aristotle's modal syllogisms.Fred Johnson - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. pp. 1--247.
    McCall's system for contingent syllogisms is modified. A semantics for the resulting system is provided.
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  23. Syllogisms Diagrammed: OOA to OOO.Mark Andrews - manuscript
    This document diagrams the forms OOA, OOE, OOI, and OOO, including all four figures. Each form and figure has the following information: (1) Premises as stated: Venn diagram showing what the premises say; (2) Purported conclusion: diagram showing what the premises claim to say; (3) Relation of premises to conclusion: intended to describe how the premises and conclusion relate to each other, such as validity or contradiction. Used in only a few examples; (4) Distribution: intended to create a system in (...)
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  24. Pluralism and the Hypothetical in Heinrich Hertz’s Philosophy of Science.Andreas Hüttemann - 2009 - In Michael Heidelberger & Gregor Schiemann (eds.), The Significance of the Hypothetical in Natural Science. De Gruyter. pp. 145-168.
    In this paper I argue against readings of Hertz that overly assimilate him into the thought of late 20th century anti-realists and pluralists. Firstly, as is well-known, various images of the same objects are possible according to Hertz. However, I will argue that this envisaged pluralism concerns the situation before all the evidence is considered i. e. before we can decide whether the images are correct and appropriate. Hertz believes in final and decisive battles of the kind he participated in (...)
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  25. Models for modal syllogisms.Fred Johnson - 1989 - Notre Dame Journal of Formal Logic 30 (2):271-284.
    A semantics is presented for Storrs McCall's separate axiomatizations of Aristotle's accepted and rejected polysyllogisms. The polysyllogisms under discussion are made up of either assertoric or apodeictic propositions. The semantics is given by associating a property with a pair of sets: one set consists of things having the property essentially and the other of things having it accidentally. A completeness proof and a semantic decision procedure are given.
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  26. Hypothetical Insurance and Higher Education.Ben Colburn & Hugh Lazenby - 2016 - Journal of Philosophy of Education 50 (4):587-604.
    What level of government subsidy of higher education is justified, in what form, and for what reasons? We answer these questions by applying the hypothetical insurance approach, originally developed by Ronald Dworkin in his work on distributive justice. On this approach, when asking how to fund and deliver public services in a particular domain, we should seek to model what would be the outcome of a hypothetical insurance market: we stipulate that participants lack knowledge about their specific resources (...)
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  27.  95
    Aristotle on the Individuation of Syllogisms.Phil Corkum - forthcoming - Ancient Philosophy.
    Discussion of the Aristotelian syllogistic over the last sixty years has arguably centered on the question whether syllogisms are inferences or implications. But the significance of this debate at times has been taken to concern whether the syllogistic is a logic or a theory, and how it ought to be represented by modern systems. Largely missing from this discussion has been a study of the few passages in the Prior Analytics where Aristotle provides explicit guidance on how to individuate (...)
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  28. Extended Gergonne Syllogisms.Fred Johnson - 1997 - Journal of Philosophical Logic 26 (5):553-567.
    Syllogisms with or without negative terms are studied by using Gergonne's ideas. Soundness, completeness, and decidability results are given.
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  29. On Practical Syllogisms.Yusuke Kaneko - 2008 - Philosophical Studies 26:149-162.
    Although written in Japanese, 実践的三段論法について(On Practical Syllogisms)pursues a logical form of the practical syllogism.
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  30. Two epistemological challenges regarding hypothetical modeling.Peter Tan - 2022 - Synthese 200 (6).
    Sometimes, scientific models are either intended to or plausibly interpreted as representing nonactual but possible targets. Call this “hypothetical modeling”. This paper raises two epistemological challenges concerning hypothetical modeling. To begin with, I observe that given common philosophical assumptions about the scope of objective possibility, hypothetical models are fallible with respect to what is objectively possible. There is thus a need to distinguish between accurate and inaccurate hypothetical modeling. The first epistemological challenge is that no account (...)
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  31. Suhrawardi's Modal Syllogisms.Zia Movahed - 2012 - Sophia Perennis 21:5-17.
    Suhrawardi’s logic of the Hikmat al-Ishraq is basically modal. So to understand his modal logic one first has to know the non-modal part upon which his modal logic is built. In my previous paper ‘Suhrawardi on Syllogisms’(3) I discussed the former in detail. The present paper is an exposition of his treatment of modal syllogisms. On the basis of some reasonable existential presuppositions and a number of controversial metaphysical theses, and also by confining his theory to alethic modality, (...)
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  32. Revisiting Jain Syllogisms: Challenging Inferences in the Women's Liberation Debate.Wesley De Sena - manuscript
    In his work on Gender and Salvation, Jaini delves into the intricacies of Digambara arguments and Śvētāmbara objections regarding the possibility of women attaining moksha. At the heart of this debate lies the contentious issue of attire. Both Jain sects acknowledge that Mahāvīra and his early adherent mendicants practiced nudity. However, their perspectives diverge significantly. For Digambaras, the act of going naked is considered fundamental and indispensable in the pursuit of liberation. According to their beliefs, one cannot achieve moksha without (...)
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  33. Suhrawardi on Syllogisms.Zia Movahed - 2010 - Sophia Perennis 2:5-18.
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  34. Pre-Stoic Hypothetical Syllogistic in Galen.Susanne Bobzien - 2002 - The Bulletin of the Institute of Classical Studies:57-72.
    ABSTRACT: This paper traces the evidence in Galen's Introduction to Logic (Institutio Logica) for a hypothetical syllogistic which predates Stoic propositional logic. It emerges that Galen is one of our main witnesses for such a theory, whose authors are most likely Theophrastus and Eudemus. A reconstruction of this theory is offered which - among other things - allows to solve some apparent textual difficulties in the Institutio Logica.
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  35. Hypothetical identities: Explanatory problems for the explanatory argument.Markus I. Eronen - 2014 - Philosophical Psychology 27 (4):571-582.
    Recently, several philosophers have defended an explanatory argument that supposedly provides novel empirical grounds for accepting the type identity theory of phenomenal consciousness. They claim that we are justified in believing that the type identity thesis is true because it provides the best explanation for the correlations between physical properties and phenomenal properties. In this paper, I examine the actual role identities play in science and point out crucial shortcomings in the explanatory argument. I show that the supporters of the (...)
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  36. On The Hypothetical Given.Adam Marushak - 2021 - Philosophy and Phenomenological Research 102 (3):497-514.
    My aim in this paper is to assess the viability of a perceptual epistemology based on what Anil Gupta calls the “hypothetical given”. On this account, experience alone yields no unconditional entitlement to perceptual beliefs. Experience functions instead to establish relations of rational support between what Gupta calls “views” and perceptual beliefs. I argue that the hypothetical given is a genuine alternative to the prevailing theories of perceptual justification but that the account faces a dilemma: on a natural (...)
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  37. Werner Heisenberg’s Position on a Hypothetical Conception of Science.Gregor Schiemann - 2009 - In Michael Heidelberger & Gregor Schiemann (eds.), The Significance of the Hypothetical in Natural Science. De Gruyter. pp. 251-268.
    Werner Heisenberg made an important – and as yet insufficiently researched – contribution to the transformation of the modern conception of science. This transformation involved a reassessment of the status of scientific knowledge from certain to merely hypothetical – an assessment that is widely recognized today. I examine Heisenberg’s contribution in particular by taking his conception of “closed theories” as an example according to which the established physical theories have no universal and exclusive, but only a restricted validity. Firstly, (...)
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  38. Aristotle on “dunatos” as a label for imperfect syllogisms.Lucas Angioni - forthcoming - In Graziana Ciola & Milo Crimi (eds.), Validity Throughout History. Munich, Germany:
    This paper discusses the following question: why was the term “dunatos” (“possible”) employed by Aristotle as an alternative label for imperfect syllogisms in his discussion of assertoric syllogistic? My answer ascribes to Aristotle a bottom up perspective, in which he stresses what is necessary in the premise-pairs to attain target conclusions of a given form within a given figure. I argue that “dunatos” is employed by Aristotle to stress that an imperfect syllogism is always one of the possible options (...)
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  39. Epistemic Modals in Hypothetical Reasoning.Maria Aloni, Luca Incurvati & Julian J. Schlöder - 2023 - Erkenntnis 88 (8):3551-3581.
    Data involving epistemic modals suggest that some classically valid argument forms, such as _reductio_, are invalid in natural language reasoning as they lead to modal collapses. We adduce further data showing that the classical argument forms governing the existential quantifier are similarly defective, as they lead to a _de re–de dicto_ collapse. We observe a similar problem for disjunction. But if the classical argument forms for negation, disjunction and existential quantification are invalid, what are the correct forms that govern the (...)
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  40.  52
    Heroes and Demigods: Aristotle's Hypothetical "Defense" of True Nobles.William H. Harwood & Paria Akhgari - 2023 - Eirene 59 (I-II):67-98.
    Although the commentary on Aristotle’s problematic discussion of slavery is vast, his discussion of nobility receives little attention. The fragments of his dialogue On Noble Birth constitute his most extensive examination of nobility, and while their similarity to the παμβασιλεύς of the Politics has recently been recognized, their relevance to natural slavery has hitherto gone unnoticed. Yet by declaring that true nobles – particularly the god-like ἀρχηγός – preternaturally possess superhuman characteristics, Aristotle precludes their easy inclusion in the kind “human” (...)
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  41. All men are animals: hypothetical, categorical, or material?Rani Lill Anjum & Johan Arnt Myrstad - manuscript
    The conditional interpretation of general categorical statements like ‘All men are animals’ as universally quantified material conditionals ‘For all x, if x is F, then x is G’ suggests that the logical structure of law statements is conditional rather than categorical. Disregarding the problem that the universally quantified material conditional is trivially true whenever there are no xs that are F, there are some reasons to be sceptical of Frege’s equivalence between categorical and conditional expressions. -/- Now many philosophers will (...)
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  42. Plato's Hypothetical Inquiry in the Meno.Naoya Iwata - 2016 - British Journal for the History of Philosophy 24 (2):194-214.
    This paper argues that the hypothesis proposed in the Meno is the proposition ‘virtue is good’ alone, and that its epistemic nature is essentially insecure. It has been an object of huge scholarly debate which other hypothesis Socrates posited with regard to the relationship between virtue and knowledge. This debate is, however, misleading in the sense of making us believe that the hypothesis that virtue is good is regarded as a truism in the light of the process of positing a (...)
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  43. Imagination Rather Than Observation in Econometrics: Ragnar Frisch’s Hypothetical Experiments as Thought Experiments.Catherine Https://Orcidorg Herfeld - 2019 - Hopos: The Journal of the International Society for the History of Philosophy of Science 9 (1):35-74.
    In economics, thought experiments are frequently justified by the difficulty of conducting controlled experiments. They serve several functions, such as establishing causal facts, isolating tendencies, and allowing inferences from models to reality. In this paper, I argue that thought experiments served a further function in economics: facilitating the quantitative definition and measurement of the theoretical concept of utility, thereby bridging the gap between theory and statistical data. I support my argument by a case study, the “hypothetical experiments” of the (...)
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  44. Thinking About Events: A Pragmatist Account of the Objects of Episodic Hypothetical Thought.André Sant’Anna & Kourken Michaelian - 2019 - Review of Philosophy and Psychology 10 (1):187-217.
    The debate over the objects of episodic memory has for some time been stalled, with few alternatives to familiar forms of direct and indirect realism being advanced. This paper moves the debate forward by building on insights from the recent psychological literature on memory as a form of episodic hypothetical thought (or mental time travel) and the recent philosophical literature on relationalist and representationalist approaches to perception. The former suggests that an adequate account of the objects of episodic memory (...)
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  45. Aristotle on Hypothetical Arguments and the Completeness of the Syllogistic.Tal Glezer - 2007 - Ancient Philosophy 27 (2):323-334.
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  46. New Water in Old Buckets: Hypothetical and Counterfactual Reasoning in Mach’s Economy of Science.Lydia Patton - 2019 - In Friedrich Stadler (ed.), Ernst Mach – Life, Work, Influence. Springer Verlag.
    Ernst Mach’s defense of relativist theories of motion in Die Mechanik involves a well-known criticism of Newton’s theory appealing to absolute space, and of Newton’s “bucket” experiment. Sympathetic readers (Norton 1995) and critics (Stein 1967, 1977) agree that there’s a tension in Mach’s view: he allows for some constructed scientific concepts, but not others, and some kinds of reasoning about unobserved phenomena, but not others. Following Banks (2003), I argue that this tension can be interpreted as a constructive one, springing (...)
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  47. A Long Lost Relative in the Parmenides? Plato’s Family of Hypothetical Methods.Evan Rodriguez - 2022 - Apeiron 55 (1):141-166.
    The Parmenides has been unduly overlooked in discussions of hypothesis in Plato. It contains a unique method for testing first principles, a method I call ‘exploring both sides’. The dialogue recommends exploring the consequences of both a hypothesis and its contradictory and thematizes this structure throughout. I challenge the view of Plato’s so-called ‘method of hypothesis’ as an isolated stage in Plato’s development; instead, the evidence of the Parmenides suggests a family of distinct hypothetical methods, each with its own (...)
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  48. Cultural differences in responses to real-life and hypothetical trolley problems.Natalie Gold, Andrew Colman & Briony Pulford - 2015 - Judgment and Decision Making 9 (1):65-76.
    Trolley problems have been used in the development of moral theory and the psychological study of moral judgments and behavior. Most of this research has focused on people from the West, with implicit assumptions that moral intuitions should generalize and that moral psychology is universal. However, cultural differences may be associated with differences in moral judgments and behavior. We operationalized a trolley problem in the laboratory, with economic incentives and real-life consequences, and compared British and Chinese samples on moral behavior (...)
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  49. The Realistic Angel: Pictorial Realism as Hypothetical Verity.Christopher Buckman - 2015 - Aesthetic Investigations 1 (1):49-58.
    My main objective in this paper is to formulate a view of pictorial realism I call ‘hypothetical verity’. It owes much to John Kulvicki but diverges from his view in an important respect: rather than thinking that realistic pictures are true to our conceptions of things, I hold that they are true to what things would be like if they existed. In addition, I agree with Dominic Lopes that different realisms reflect different aspects of reality, but restate the case (...)
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  50. A criticism of Ross's hypothetical 'I can'.Rem B. Edwards - 1960 - Mind 69 (273):80-83.
    This article argues that the hypothetical 'I Can' position of Sir David Ross is incompatible with his determinism.
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