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Journal Article
The Philosophical Review (1 April 2005) 114 (2): 179–225.
Published: 01 April 2005
... 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 (1 April 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 (1 January 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—they...
Journal Article
The Philosophical Review (1 January 2008) 117 (1): 1–47.
Published: 01 January 2008
... 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 (1 October 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 (1 October 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 that...
Journal Article
The Philosophical Review (1 July 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 to the...
Journal Article
The Philosophical Review (1 April 2015) 124 (2): 169–206.
Published: 01 April 2015
... lottery, 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...
Journal Article
The Philosophical Review (1 January 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...
Journal Article
The Philosophical Review (1 October 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 in...
Journal Article
The Philosophical Review (1 July 2016) 125 (3): 397–430.
Published: 01 July 2016
... interpretation 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...
Journal Article
The Philosophical Review (1 April 2018) 127 (2): 260–264.
Published: 01 April 2018
...Billy Dunaway The upshot is that, on one reading, it is true that there is a number. But this is the inferential-role reading and, for a variety of reasons, this does not tell us anything about ontology (109). Parts of this picture are hard to dispute. But one wonders how much of a role...
Journal Article
The Philosophical Review (1 April 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 (1 April 2019) 128 (2): 237–240.
Published: 01 April 2019
... remains whether this is always so, and whether the relation 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...
Journal Article
The Philosophical Review (1 January 2000) 109 (1): 115–118.
Published: 01 January 2000
... penetrated the philosophical 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...
Journal Article
The Philosophical Review (1 October 2014) 123 (4): 485–531.
Published: 01 October 2014
... ( fig. 1 ): Figure 1   A calculator keyboard Figure 1 . A calculator keyboard We can form a six-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...
Journal Article
The Philosophical Review (1 July 2008) 117 (3): 385–443.
Published: 01 July 2008
... Philosophy 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...
Journal Article
The Philosophical Review (1 April 2015) 124 (2): 258–260.
Published: 01 April 2015
... person feels a moderate amount of anger about a moderate number of injuries and insults on a moderate amount of occasions toward a moderate number of people for a moderate length of time” (43). Curzer notes that it has been objected that “the right objects” cannot be expressed quantitatively. Not so, he...
Journal Article
The Philosophical Review (1 July 2003) 112 (3): i.
Published: 01 July 2003
... judged by members of the Sage School of Philosophy. Provided the number and standard of submissions is sufficiently high, a winner will be chosen to present their article at a symposium to be held at Cornell University. Two spe- cialists in the field will be invited to comment on the winner's...
Journal Article
The Philosophical Review (1 April 2003) 112 (2): i.
Published: 01 April 2003
... School of Philosophy. Provided the number and stan- dard of submissions is sufficiently high, a winner will be chosen to present their article at a symposium to be held at Cornell University. Two specialists in the field will be invited to comment on the winner's article at the symposium. The...