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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...
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...
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...
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...
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 : 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...
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. More...
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...
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...
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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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...
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...
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...
The Philosophical Review (2018) 127 (2): 260–264.
Published: 01 April 2018
...-conditions quantification over objects (chap. 7). But since he wishes to deny domain-conditions quantification over numbers, properties, and propositions, he needs to specify adequate truth conditions for an inferential-role quantifier over them, using only domain-conditions quantification over objects...
The Philosophical Review (2019) 128 (2): 237–240.
Published: 01 April 2019
... of being built or generated itself is of special metaphysical significance. Let me illustrate the worry with an example not from Bennett's book. 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...
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...
The Philosophical Review (2014) 123 (4): 485–531.
Published: 01 October 2014
...-digit number by taking the three digits on any row, column, or main diagonal on the keyboard in forward and then in reverse order. For instance, the bottom row taken from left to right, and then right to left, yields 123321. There are sixteen such “calculator numbers” (321123, 741147, 951159,…). As you...
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The Philosophical Review (2000) 109 (1): 115–118.
Published: 01 January 2000
... community and a number of “structuralist” 115 BOOK REWWS volumes in the philosophy of mathematics have seen the light of day. Mi- chael Resnik is one of the most distinguished representatives of this school, along with Stewart Shapiro, who...
The Philosophical Review (2007) 116 (3): 401–425.
Published: 01 July 2007
... or infi nitely many propositions.8 If we are willing to grant Williams these assumptions, though, then he can indeed generate a fi nite model that satisfi es all of the sentences in T. Third, Charlie is a numerical model. The objects in Charlie’s domain are simply the natural numbers 1...
The Philosophical Review (2004) 113 (2): 157–201.
Published: 01 April 2004
.... Carson, Emily. 1997 . Kant on Intuition in Geometry. Canadian Journal of Philosophy 27 : 489 -512. Dedekind, Richard. 1901 . The Nature and Meaning of Numbers. In Essays on the Theory of Numbers , translated by Wooster Woodruff Beman. New York: Dover Publications. Dictionary of Scientific...
The Philosophical Review (2002) 111 (3): 442–447.
Published: 01 July 2002
...). 3 See, for example, 22:64.6–11, 21:15.6–7. All references to Kants gesammelte Schriften (Berlin, 1902–) by volume, page and line number. 4 See 2:411.28–412.19. 5 The remarks on community in the Amphibolie at B331 in the first Critique suggest that Kant himself later came to think...