Results for 'hume s principle'

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  1. Hume's Dialogues Concerning Natural Religion.David Hume - forthcoming - Audio CD.
    Long before the current dispute in the USA about the teaching of evolution, Hume's dialogues presented and critically analyzed the idea of intelligent design. What should we teach our children about the creation of the world? What should we teach them about religion? The characters Demea, Cleanthes, and Philo passionately present and defend different answers to that question. Demea opens the dialogue with a position derived from René Descartes and Father Malebranche — God's nature is a mystery, but God's (...)
     
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  2. Hume's Dialogues Concerning Natural Religion: Audio Cd.David Hume - 2004 - Agora Publications.
    Long before the current dispute in the USA about the teaching of evolution, Hume's dialogues presented and critically analyzed the idea of intelligent design. What should we teach our children about the creation of the world? What should we teach them about religion? The characters Demea, Cleanthes, and Philo passionately present and defend different answers to that question. Demea opens the dialogue with a position derived from René Descartes and Father Malebranche — God's nature is a mystery, but God's (...)
     
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  3. Hume's Moral and Political Philosophy.David Hume & Henry David Aiken - 1948 - Hafner Press.
     
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  4. Hume's Philosophy in His Principal Work a Treatise of Human Nature and in His Essays.Vinding Kruse & David Hume - 1939 - London.
  5. Hume's Ethical Writings: Selections From David Hume.David Hume - 1965 - University of Notre Dame Press.
  6. Letters on Hume's History of Great Britain.Daniel Macqueen & David Hume - 1990
  7. Comparing Peano Arithmetic, Basic Law V, and Hume's Principle.Sean Walsh - 2012 - Annals of Pure and Applied Logic 163 (11):1679-1709.
    This paper presents new constructions of models of Hume's Principle and Basic Law V with restricted amounts of comprehension. The techniques used in these constructions are drawn from hyperarithmetic theory and the model theory of fields, and formalizing these techniques within various subsystems of second-order Peano arithmetic allows one to put upper and lower bounds on the interpretability strength of these theories and hence to compare these theories to the canonical subsystems of second-order arithmetic. The main results of (...)
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  8.  11
    Hume's Nominalism and the Copy Principle.Ruth Weintraub - 2012 - Canadian Journal of Philosophy 42 (sup1):45-54.
    In this paper, I consider some ways in which the Copy Principle and Hume’s nominalism impinge on one another, concluding that the marriage is not a happy one. I argue for the following claims. First, Hume’s argument against indeterminate ideas isn’t cogent even if the Copy Principle is accepted. But this does not vindicate Locke: the imagistic conception of ideas, presupposed by the Copy Principle, will force Locke to accept something like Hume’s view of (...)
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  9.  12
    Hume's Principle.João Paulo Monteiro - 2010 - Principia: An International Journal of Epistemology 3 (2):165-186.
    Hume's project aimed at the discovery of the principles of human nature, and among these the most important in most respects is not association of ideas, but the one he calls "custom or habil." But what is the real nature of Hume's principle? It would be philosophically naïve to decide that Hume's concept of habit simply reproduces the dominant conception. In the latter the main element is time, and the possibility of habit depending only on repetition (...)
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  10. Who Needs (to Assume) Hume's Principle? July 2006.Andrew Boucher - manuscript
    In the Foundations of Arithmetic, Frege famously developed a theory which today goes by the name of logicism - that it is possible to prove the truths of arithmetic using only logical principles and definitions. Logicism fell out of favor for various reasons, most spectacular of which was that the system, which Frege thought would definitively prove his thesis, turned out to be inconsistent. In the early 1980s a movement called neo-logicism was begun by Crispin Wright. Neo-logicism holds that Frege (...)
     
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  11.  37
    On Some Criticisms of Hume's Principle of Proportioning Cause to Effect.John Beaudoin - 1999 - Philo 2 (2):26-40.
    That no qualities ought to be ascribed to a cause beyond what are requisite for bringing about its effect(s) is a methodological principle Hume employs to evacuate arguments from design of much theological significance. In this article I defend Hume’s use of the principle against several objections brought against it by Richard Swinburne.
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  12. Is Hume's Principle Analytic?Crispin Wright - 2001 - In Bob Hale & Crispin Wright (eds.), Notre Dame Journal of Formal Logic. Oxford University Press. pp. 307-333.
    This paper is a reply to George Boolos's three papers (Boolos (1987a, 1987b, 1990a)) concerned with the status of Hume's Principle. Five independent worries of Boolos concerning the status of Hume's Principle as an analytic truth are identified and discussed. Firstly, the ontogical concern about the commitments of Hume's Principle. Secondly, whether Hume's Principle is in fact consistent and whether the commitment to the universal number by adopting Hume's Principle might (...)
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  13.  37
    In Good Company? On Hume’s Principle and the Assignment of Numbers to Infinite Concepts.Paolo Mancosu - 2015 - Review of Symbolic Logic 8 (2):370-410.
    In a recent article, I have explored the historical, mathematical, and philosophical issues related to the new theory of numerosities. The theory of numerosities provides a context in which to assign numerosities to infinite sets of natural numbers in such a way as to preserve the part-whole principle, namely if a set A is properly included in B then the numerosity of A is strictly less than the numerosity of B. Numerosities assignments differ from the standard assignment of size (...)
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  14.  16
    Frege's Cardinals Do Not Always Obey Hume's Principle.Gregory Landini - 2017 - History and Philosophy of Logic 38 (2):127-153.
    Hume's Principle, dear to neo-Logicists, maintains that equinumerosity is both necessary and sufficient for sameness of cardinal number. All the same, Whitehead demonstrated in Principia Mathematica's logic of relations that Cantor's power-class theorem entails that Hume's Principle admits of exceptions. Of course, Hume's Principle concerns cardinals and in Principia's ‘no-classes’ theory cardinals are not objects in Frege's sense. But this paper shows that the result applies as well to the theory of cardinal numbers as (...)
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  15.  53
    Hume's Principle and Axiom V Reconsidered: Critical Reflections on Frege and His Interpreters.Matthias Schirn - 2006 - Synthese 148 (1):171 - 227.
    In this paper, I shall discuss several topics related to Frege’s paradigms of second-order abstraction principles and his logicism. The discussion includes a critical examination of some controversial views put forward mainly by Robin Jeshion, Tyler Burge, Crispin Wright, Richard Heck and John MacFarlane. In the introductory section, I try to shed light on the connection between logical abstraction and logical objects. The second section contains a critical appraisal of Frege’s notion of evidence and its interpretation by Jeshion, the introduction (...)
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  16.  13
    Hume’s Principle and Axiom V Reconsidered: Critical Reflections on Frege and His Interpreters.Matthias Schirn - 2006 - Synthese 148 (1):171-227.
    In this paper, I shall discuss several topics related to Frege's paradigms of second-order abstraction principles and his logicism. The discussion includes a critical examination of some controversial views put forward mainly by Robin Jeshion, Tyler Burge, Crispin Wright, Richard Heck and John MacFarlane. In the introductory section, I try to shed light on the connection between logical abstraction and logical objects. The second section contains a critical appraisal of Frege's notion of evidence and its interpretation by Jeshion, the introduction (...)
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  17.  2
    Finitude and Hume's Principle.G. Heck Richard - 1997 - Journal of Philosophical Logic 26 (6):589-617.
    The paper formulates and proves a strengthening of 'Frege's Theorem', which states that axioms for second-order arithmetic are derivable in second-order logic from Hume's Principle, which itself says that the number of Fs is the same as the number of Gs just in case the Fs and Gs are equinumerous. The improvement consists in restricting this claim to finite concepts, so that nothing is claimed about the circumstances under which infinite concepts have the same number. 'Finite Hume's (...)
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  18. Who Needs (to Assume) Hume's Principle?Andrew Boucher - manuscript
    Neo-logicism uses definitions and Hume's Principle to derive arithmetic in second-order logic. This paper investigates how much arithmetic can be derived using definitions alone, without any additional principle such as Hume's.
     
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  19. Is Hume's Principle Analytic?Crispin Wright - 1999 - Notre Dame Journal of Formal Logic 40 (1):6-30.
    One recent `neologicist' claim is that what has come to be known as "Frege's Theorem"–the result that Hume's Principle, plus second-order logic, suffices for a proof of the Dedekind-Peano postulate–reinstates Frege's contention that arithmetic is analytic. This claim naturally depends upon the analyticity of Hume's Principle itself. The present paper reviews five misgivings that developed in various of George Boolos's writings. It observes that each of them really concerns not `analyticity' but either the truth of (...)'s Principle or our entitlement to accept it and reviews possible neologicist replies. A two-part Appendix explores recent developments of the fifth of Boolos's objections–the problem of Bad Company–and outlines a proof of the principle $N^q$, an important part of the defense of the claim that what follows from Hume's Principle is not merely a theory which allows of interpretation as arithmetic but arithmetic itself. (shrink)
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  20.  21
    Finitude and Hume's Principle.Richard G. Heck Jr - 1997 - Journal of Philosophical Logic 26 (6):589 - 617.
    The paper formulates and proves a strengthening of 'Frege's Theorem', which states that axioms for second-order arithmetic are derivable in second-order logic from Hume's Principle, which itself says that the number of Fs is the same as the number of Gs just in case the Fs and Gs are equinumerous. The improvement consists in restricting this claim to finite concepts, so that nothing is claimed about the circumstances under which infinite concepts have the same number. 'Finite Hume's (...)
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  21. Hume???S Principle, Beginnings: Hume???S Principle, Beginnings.Albert Visser - 2011 - Review of Symbolic Logic 4 (1):114-129.
    In this note we derive Robinson???s Arithmetic from Hume???s Principle in the context of very weak theories of classes and relations.
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  22. What If the Principle of Induction Is Normative? Formal Learning Theory and Hume's Problem.Daniel Steel & S. Kedzie Hall - 2010 - International Studies in the Philosophy of Science 24 (2):171-185.
    This article argues that a successful answer to Hume's problem of induction can be developed from a sub-genre of philosophy of science known as formal learning theory. One of the central concepts of formal learning theory is logical reliability: roughly, a method is logically reliable when it is assured of eventually settling on the truth for every sequence of data that is possible given what we know. I show that the principle of induction (PI) is necessary and sufficient (...)
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  23. What If the Principle of Induction is Normative? Means-Ends Epistemology and Hume's Problem.Daniel Steel - manuscript
    I develop a critique of Hume’s infamous problem of induction based upon the idea that the principle of induction (PI) is a normative rather than descriptive claim. I argue that Hume’s problem is a false dilemma, since the PI might be neither a “relation of ideas” nor a “matter of fact” but rather what I call a contingent normative statement. In this case, the PI could be justified by a means-ends argument in which the link between means (...)
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  24. Hume’s Empiricist Inner Epistemology: A Reassessment of The Copy Principle.Angela Coventry & Tom Seppalainen - 2012 - In Alan Bailey & Dan O'Brien (eds.), The Continuum Companion to Hume. Continuum. pp. 38--56.
    Vivacity, the “liveliness” of perceptions, is central to Hume’s epistemology. Hume equated belief with vivid ideas. Vivacity is a conscious quality so believable ideas are felt to be lively. Hume’s empiricism revolves around a phenomenological, inner epistemology. Through copying, Hume bases vivacity in impressions. Sensory vivacity also concerns liveliness or patterns of change. Through learnt skillful use, it tracks change specific to intentional sense-perceptual experience, Hume’s “coherent and constant” complex impressions. Copying, in turn, communicates the (...)
     
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  25.  11
    Numbers as Ontologically Dependent Objects - Hume's Principle Revisited.Robert Schwartzkopff - 2011 - Grazer Philosophische Studien 82:353-373.
    Adherents of Ockham’s fundamental razor contend that considerations of ontological parsimony pertain primarily to fundamental objects. Derivative objects, on the other hand, are thought to be quite unobjectionable. One way to understand the fundamental vs. derivative distinction is in terms of the Aristotelian distinction between ontologically independent and dependent objects. In this paper I will defend the thesis that every natural number greater than 0 is an ontologically dependent object thereby exempting the natural numbers from Ockham’s fundamental razor.
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  26.  10
    Hume's Fork and Mixed Mathematics.Matias Slavov - 2017 - Archiv für Geschichte der Philosophie 99 (1):102-119.
    Given the sharp distinction that follows from Hume’s Fork, the proper epistemic status of propositions of mixed mathematics seems to be a mystery. On the one hand, mathematical propositions concern the relation of ideas. They are intuitive and demonstratively certain. On the other hand, propositions of mixed mathematics, such as in Hume’s own example, the law of conservation of momentum, are also matter of fact propositions. They concern causal relations between species of objects, and, in this sense, they (...)
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  27.  33
    Finitude and Hume's Principle.Heck Richard - 1997 - Journal of Philosophical Logic 26 (6):589-617.
    The paper formulates and proves a strengthening of Freges Theorem, which states that axioms for second-order arithmetic are derivable in second-order logic from Humes Principle, which itself says that the number of Fs is the same as the number ofGs just in case the Fs and Gs are equinumerous. The improvement consists in restricting this claim to finite concepts, so that nothing is claimed about the circumstances under which infinite concepts have the same number. Finite Humes Principle also (...)
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  28.  55
    Hume's First Principle, His Missing Shade, and His Distinctions of Reason.Karánn Durland - 1996 - Hume Studies 22 (1):105-121.
  29.  5
    Hume's Principle, Beginnings.Albert Visser - 2011 - Review of Symbolic Logic 4 (1):114-129.
    In this note we derive Robinsons Principle in the context of very weak theories of classes and relations.
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  30.  8
    The Relation Between the General Maxim of Causality and the Principle of Uniformity in Hume's Theory of Knowledge.José Oscar de Almeida Marques - 2012 - Manuscrito 35 (1):85-98.
  31. On the Harmless Impredicativity of N=('Hume's Principle').Crispin Wright - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. pp. 339--68.
     
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  32. Hume’s Tu Quoque: Newtonianism and the Rationality of the Causal Principle.Michael Haynes - 1988 - Man and Nature 7:131-139.
  33.  11
    Axiom V and Hume¿ s Principle in Frege¿ s Foundational Project.Matthias Schirn - 1995 - Dialogos 30 (66):7-20.
  34.  51
    Hume's Principle and the Number of All Objects.Ian Rumfitt - 2001 - Noûs 35 (4):515–541.
  35.  6
    Why, in 1902, Wasn't Frege Prepared to Accept Hume's Principle as the Primitive Law for His Logicist Program?Kazuyuki Nomoto - 2000 - Annals of the Japan Association for Philosophy of Science 9 (5):219-230.
  36.  16
    On Some Consequences of the Definitional Unprovability of Hume's Principle.Luca Incurvati - 2007 - In Pierre Joray (ed.), Contemporary Perspectives on Logicism and the Foundations of Mathematics. CDRS.
  37. Hume's Principle and Entitlement: On the Epistemology of the Neo-Fregean Programme.Nikolaj Jang Lee Linding Pedersen - forthcoming - In Philip Ebert & Marcus Rossberg (eds.), Abstractionism. Oxford University Press.
  38.  1
    Wright Crispin. On the Philosophical Significance of Frege's Theorem. Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Heck Richard G. Jnr., Oxford University Press, Oxford and New York 1998 , Pp. 201–244.Boolos George. Is Hume's Principle Analytic? Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Heck Richard G. Jnr., Oxford University Press, Oxford and New York 1998 , Pp. 245–261.Parsons Charles. Wright on Abstraction and Set Theory. Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Heck Richard G. Jnr., Oxford University Press, Oxford and New York 1998 , Pp. 263–271.Heck Richard G. Jnr. The Julius Caesar Objection. Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Heck Richard G. Jnr., Oxford University Press, Oxford and New York 1998 , Pp. 273–308. [REVIEW]William Demopoulos - 1998 - Journal of Symbolic Logic 63 (4):1598-1602.
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  39. Hume's Tu Quoque: Newtonianism and the Rationality of the Causal Principle.Michael Haynes - 1988 - Lumen 7:131-139.
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  40. Reflective Judgment and the Application of Logic to Nature: Kant's Deduction of the Principle of Purposiveness as an Answer to Hume.Henry E. Allison - 2003 - In Hans-Johann Glock (ed.), Strawson and Kant. Oxford University Press.
  41. Long's Paper,"'Utility'and the'Utility Principle': Hume, Smith, Bentham, Mill,".G. Douglas - 1990 - Utilitas 2 (1).
     
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  42.  67
    Comments on 'Hume's Master Argument'.Charles Pigden - 2010 - In Hume on Is and Ought. Palgrave-Macmillan. pp. 128-142.
    This is a commentary on Adrian Heathcote’s interesting paper ‘Hume’s Master Argument’. Heathcote contends that No-Ought-From-Is is primarily a logical thesis, a ban on Is/Ought inferences which Hume derives from the logic of Ockham. NOFI is thus a variation on what Heathcote calls ‘Hume’s Master Argument’, which he also deploys to prove that conclusions about the future (and therefore a-temporal generalizations) cannot be derived by reason from premises about the past, and that conclusions about external objects or (...)
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  43. Hume's Dictum and the Asymmetry of Counterfactual Dependence.Jessica M. Wilson - 2014 - In Alastair Wilson (ed.), Chance and Temporal Asymmetry. Oxford University Press. pp. 258-279.
    Why believe Hume's Dictum, according to which there are, roughly speaking, no necessary connections between wholly distinct entities? Schaffer suggests that HD, at least as applied to causal or nomological connections, is motivated as required by the best account of of counterfactuals---namely, a similarity-based possible worlds account, where the operative notion of similarity requires 'miracles'---more specifically, worlds where entities of the same type that actually exist enter into different laws. The main cited motivations for such an account of similarity (...)
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  44. Hume's Dictum and Metaphysical Modality: Lewis's Combinatorialism.Jessica M. Wilson - 2015 - In Barry Loewer & Jonathan Schaffer (eds.), The Blackwell Companion to David Lewis. Blackwell. pp. 138-158.
    Many contemporary philosophers accept Hume's Dictum, according to which there are no metaphysically necessary connections between distinct, intrinsically typed entities. Tacit in Lewis 's work is a potential motivation for HD, according to which one should accept HD as presupposed by the best account of the range of metaphysical possibilities---namely, a combinatorial account, applied to spatiotemporal fundamentalia. Here I elucidate and assess this Ludovician motivation for HD. After refining HD and surveying its key, recurrent role in Lewis ’s work, (...)
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  45. Two Versions of Hume's Law.Campbell Brown - 2015 - Journal of Ethics and Social Philosophy:2-7.
    Moral conclusions cannot validly be inferred from nonmoral premises – this principle, commonly called “Hume’s law,” presents a conundrum. On one hand, it seems obviously true, and its truth is often simply taken for granted. On the other hand, an ingenious argument by A. N. Prior seems to refute it. My aim here is a resolution. I shall argue, first, that Hume’s law is ambiguous, admitting both a strong and a weak interpretation; second, that the strong interpretation (...)
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  46.  85
    Essays Concerning Hume's Natural Philosophy.Matias Slavov - 2016 - Dissertation, University of Jyväskylä
    The subject of this essay-based dissertation is Hume’s natural philosophy. The dissertation consists of four separate essays and an introduction. These essays do not only treat Hume’s views on the topic of natural philosophy, but his views are placed into a broader context of history of philosophy and science, physics in particular. The introductory section outlines the historical context, shows how the individual essays are connected, expounds what kind of research methodology has been used, and encapsulates the research (...)
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  47.  28
    Simple Ideas and Hume’s Missing Shade of Blue.Emily Kelahan - forthcoming - Philosophia:1-17.
    This paper provides support for the unorthodox view that Hume’s simple ideas are most fruitfully understood as theoretical posits by showing that adopting this interpretation solves a lingering interpretive difficulty, the missing shade of blue. The missing shade of blue is thought to pose a serious challenge to the legitimacy of Hume’s copy principle. Thinking of Humean simple ideas as theoretical posits reveals a dialectical mismatch between Hume and his envisioned reader that, once understood, makes it (...)
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  48. Morgan's Canon, Meet Hume's Dictum: Avoiding Anthropofabulation in Cross-Species Comparisons.Cameron Buckner - 2013 - Biology and Philosophy 28 (5):853-871.
    How should we determine the distribution of psychological traits—such as Theory of Mind, episodic memory, and metacognition—throughout the Animal kingdom? Researchers have long worried about the distorting effects of anthropomorphic bias on this comparative project. A purported corrective against this bias was offered as a cornerstone of comparative psychology by C. Lloyd Morgan in his famous “Canon”. Also dangerous, however, is a distinct bias that loads the deck against animal mentality: our tendency to tie the competence criteria for cognitive capacities (...)
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  49.  5
    Hume's (Berkeleyan) Language of Representation.Nabeel Hamid - 2015 - Hume Studies 41 (2):171-200.
    Although Hume appeals to the representational features of perceptions in many arguments in the Treatise, his theory of representation has traditionally been regarded as a weak link in his epistemology. In particular, it has proven difficult to reconcile Hume's use of representation as causal derivation and resemblance (the Copy Principle) with his use of representation in the context of impressions and abstract ideas. This paper offers a unified interpretation of representation in Hume that draws on the (...)
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    Hume's Philosophical Insouciance: A Reading of Treatise 1.4. 7.Henry E. Allison - 2005 - Hume Studies 31 (2):317-346.
    This paper argues that Hume’s central concern in T 1.4.7 is to find a way to rely upon his cognitive faculties in spite of what he has learned about them in the preceding sections of part 4. The trouble is that having identified the understanding with "the general and more establish'd properties of the imagination" (T 1.4.7.6; SBN 267), Hume finds that these properties cannot function apart from other "seemingly trivial" ones, which calls into question the trustworthiness of (...)
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