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Journal Article
The Philosophical Review (2017) 126 (2): 147–190.
Published: 01 April 2017
... aside the role of intuition for the nonce to investigate Kant's conception of natural number. Although Kant himself doesn't distinguish between a cardinal and an ordinal conception of number, some of the properties Kant attributes to number can be characterized as cardinal or ordinal. This essay argues...
Journal Article
The Philosophical Review (2005) 114 (2): 179–225.
Published: 01 April 2005
... of Mathematics Education , ed. Alan J. Bishop. Dordrecht: Kluwer. Carnap, Rudolph. 1956 . Empiricism, Semantics, and Ontology. In Meaning and Necessity . 2nd ed. Chicago: University of Chicago Press. Dehaene, Stanislas. 1997 . The Number Sense . New York: Oxford University Press. Dummett, Michael...
Journal Article
The Philosophical Review (2014) 123 (1): 1–41.
Published: 01 January 2014
...Kenny Easwaran Many philosophers have become worried about the use of standard real numbers for the probability function that represents an agent's credences. They point out that real numbers can't capture the distinction between certain extremely unlikely events and genuinely impossible ones...
Journal Article
The Philosophical Review (2008) 117 (1): 1–47.
Published: 01 January 2008
... of the female ones and despite the number of mosquitoes that don't carry the virus being ninety-nine times the number that do. Puzzling facts such as these have made generic sentences defy adequate semantic treatment. However complex the truth conditions of generics appear to be, though, young children grasp...
Journal Article
The Philosophical Review (2016) 125 (1): 83–134.
Published: 01 January 2016
... to the state of the discourse itself. The resulting account is applied to a number of ways of exploiting the lying-misleading distinction, involving conversational implicature, incompleteness, presuppositions, and prosodic focus. The essay shows that assertion, and hence lying, is preserved from subquestion...
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Journal Article
The Philosophical Review (2011) 120 (4): 567–586.
Published: 01 October 2011
... foreknowledge and human freedom. In “The Truth about Freedom: A Reply to Merricks” ( Philosophical Review 120 [2011]: 97–115), John Martin Fischer and Patrick Todd raise a number of objections to “Truth and Freedom,” most of which are objections to its treatment of foreknowledge. Their central complaint seems...
Journal Article
The Philosophical Review (2015) 124 (4): 441–480.
Published: 01 October 2015
...Shamik Dasgupta Sometimes, ignorance is inexpressible. Lewis recognized this when he argued, in “Ramseyan Humility,” that we cannot know which property occupies which causal role. This peculiar state of ignorance arises in a number of other domains too, including ignorance about our position...
Journal Article
The Philosophical Review (2018) 127 (4): 433–485.
Published: 01 October 2018
...Dilip Ninan This essay presents a puzzle concerning the interaction of epistemic modals, singular terms, and quantifiers. The puzzle poses a number of problems for both static and dynamic theories of epistemic modals. The trouble arises because neither approach takes into account the fact...
Journal Article
The Philosophical Review (2018) 127 (3): 279–322.
Published: 01 July 2018
...Shamik Dasgupta Much recent metaphysics is built around notions such as naturalness, fundamentality, grounding, dependence, essence, and others besides. In this article I raise a problem for this kind of metaphysics, the “problem of missing value.” I survey a number of possible solutions...
Journal Article
The Philosophical Review (2015) 124 (2): 169–206.
Published: 01 April 2015
..., as opposed to simply picking one of the parties on more subjective grounds or out of pure whim. In addition to the practical consequences of this skeptical view, the article sketches some theoretical implications for debates about saving the greater number and about axiomatic utilitarianism. © 2015...
Journal Article
The Philosophical Review (2016) 125 (3): 397–430.
Published: 01 July 2016
... is a more satisfactory explanation of why, if PSR is true, there should be no conjunction of all contingent truths. This sheds new light on the nature of the explanatory demand embedded in PSR and uncovers a number of surprising implications for the commitments of rationalism. © 2016 by Cornell University...
Journal Article
The Philosophical Review (2022) 131 (4): 453–497.
Published: 01 October 2022
... be abstracted from each of these systems; but existing accounts of abstraction fail for nonrigid systems like the complex numbers. The problem with the existing accounts is that they attempt to define a unique abstraction operation. The theory of collective abstraction instead simultaneously defines...
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Journal Article
The Philosophical Review (2022) 131 (4): 405–451.
Published: 01 October 2022
... time t ′ , that it is or was that ϕ , despite not losing or gaining any relevant evidence between t and t ′ . We consider a number of approaches to the puzzle and defend the view that subjects in these cases lose knowledge simply by moving through time. [email protected] © 2022 by Cornell...
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Journal Article
The Philosophical Review (2025) 134 (2): 149–201.
Published: 01 April 2025
...Kyle Blumberg; Ben Holguín This article defends a theory of fictional truth. According to this theory, there is a fact of the matter concerning the number of hairs on Sherlock Holmes’s head, and likewise for any other meaningful question one could ask about what’s true in a work of fiction...
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Published: 01 July 2023
Figure 1. (Color online.) Standard Bayesian model of a Headser’s rational opinions. Left: Generalized-Kripke (Markov) diagram, in which blue numbers within circles represent the prior probabilities of possibilities, and labeled red arrows from circles represent the posterior probabilities
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Journal Article
The Philosophical Review (2015) 124 (2): 289–292.
Published: 01 April 2015
... like ‘The number two is a prime’ and ‘Julius Caesar conquered Gaul’, you also get ‘The number two conquered Gaul’ and ‘Julius Caesar is a prime’. Since Gilbert Ryle's 1949 The Concept of Mind , philosophers have referred to these absurd sentences as category mistakes . The idea is that their subjects...
Journal Article
The Philosophical Review (2018) 127 (2): 260–264.
Published: 01 April 2018
...Billy Dunaway Hofweber Thomas , Ontology and the Ambitions of Metaphysics . New York: Oxford University Press , 2016 . 384 pp . © 2018 by Cornell University 2018 Are there numbers, propositions, or properties? These are questions that are traditionally at the heart...
Journal Article
The Philosophical Review (2019) 128 (2): 237–240.
Published: 01 April 2019
...Thomas Hofweber Talk of being built or being generated is ubiquitous in mathematics: the natural numbers are generated from the prime numbers, a vector space is generated from its base, the real line is built from intervals, and so on. Such talk could, of course, be merely metaphorical...
Journal Article
The Philosophical Review (2008) 117 (3): 385–443.
Published: 01 July 2008
... 81 : 123 -49. ____. 1990a . “Ontological Commitments: Thick and Thin.” In Meaning and Method: Essays in Honor of Hilary Putnam , ed. G. Boolos, 347 -407. Cambridge: Cambridge University Press. ____. 1990b . “Where Do Natural Numbers Come From?” Synthese 84 : 347 -407. Hofweber, T...
Journal Article
The Philosophical Review (2014) 123 (4): 485–531.
Published: 01 October 2014
... that the product of any three consecutive nonzero natural numbers is divisible by 6 ( = 1 × 2 × 3) and replace the initial reference to three consecutive nonzero natural numbers with a reference to four consecutive nonzero natural numbers, then the first step of the inductive proof is automatically that the first...
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