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indefinite extensibility

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Journal Article
The Philosophical Review (2017) 126 (1): 81–122.
Published: 01 January 2017
...Jared Warren This essay clarifies quantifier variance and uses it to provide a theory of indefinite extensibility that I call the variance theory of indefinite extensibility. The indefinite extensibility response to the set-theoretic paradoxes sees each argument for paradox as a demonstration...
Journal Article
The Philosophical Review (2016) 125 (3): 397–430.
Published: 01 July 2016
... or as a proof that the concept contingent truth is indefinitely extensible and there is no such thing as “all contingent truths.” Either interpretation would reconcile PSR with contingent truth, but the natural rationales of those interpretations are at odds. This essay argues that the second interpretation...
Journal Article
The Philosophical Review (2021) 130 (4): 623–627.
Published: 01 October 2021
... kinds of arguments as unpromising, a version of an argument from indefinite extensibility is endorsed. Ultimately, this is presented as a distinctively set-theoretic argument: any attempt to quantify over sets with absolute generality makes salient some sets—such as the non-self-membered sets—which...
Journal Article
The Philosophical Review (2000) 109 (4): 648–652.
Published: 01 October 2000
... understood as only one with “no glimmering of a suspicion of the existence of indefinitely extensible concepts” would seek to under- stand it; he demonstrates, by pointing to the now well-known consistency of “Frege Arithmetic” (the same higher-order framework, minus Axiom V, plus Hume’s principle...
Journal Article
The Philosophical Review (2011) 120 (2): 247–283.
Published: 01 April 2011
... these is that certain concepts—such as the concept of set, the concept of ordinal, and of course the concept of entity —are indefinitely extensible. For any particular way to try to specify what belongs to their extensions, we can specify a more inclusive exten- sion by identifying something that belongs...
Journal Article
The Philosophical Review (2015) 124 (3): 299–352.
Published: 01 July 2015
... . Williamson T. 1998 . “ Indefinite Extensibility .” Grazer Philosophische Studien 55 : 1 – 24 . Williamson T. 2008 . “ Why Epistemology Cannot Be Operationalized .” In Epistemology: New Essays , ed. Smith Quentin , 277 – 300 . New York : Oxford University Press . Wray...
Journal Article
The Philosophical Review (2005) 114 (1): 1–31.
Published: 01 January 2005
... or problematic: it is unclear whether or not the patch is red, unclear whether or not the man is tall.1 For example, Lynda Burns cites a widespread view as holding that borderline cases “are not definitely within the positive or negative extension of the predicate. … Border- line cases are seen as falling...
Journal Article
The Philosophical Review (2018) 127 (1): 1–40.
Published: 01 January 2018
... of many—indeed, given the essential divisibility of extension, “indefinitely” many—distinct extended substances. 2 One passage that has become central to this debate is from the Synopsis of the Meditations on First Philosophy , where Descartes argues that since “body taken in general” is a substance...
Journal Article
The Philosophical Review (2008) 117 (4): 525–554.
Published: 01 October 2008
... than a sentence (that is, a discourse of two or more sentences), names can be bound: (1) There is a gentleman in Hertfordshire by the name of ‘Ernest’. Ernest is engaged to two women. The indefinite noun phrase in (1), which...
Journal Article
The Philosophical Review (2021) 130 (4): 587–591.
Published: 01 October 2021
... that identifies matter with indefinitely divisible extension. Such a view also eliminates the various substantial forms that, for his Scholastic contemporaries, serve to distinguish the natural substances of our experience, the paradigmatic instances of which are living things. These contemporaries countered...
Journal Article
The Philosophical Review (2003) 112 (2): 247–250.
Published: 01 April 2003
... to the debate con- cerning each of these questions and to put forward his own alternative answers. This leads to an extensive and detailed discussion of the journal literature on each of these subjects and considerable effort is spent both presenting and evaluating this literature. Stecker’s own answers...
Journal Article
The Philosophical Review (2019) 128 (1): 63–105.
Published: 01 January 2019
... indefinite descriptions: (52) a. Kim fears that nuclear war is imminent.   b. Kim fears a proposition. (52a) does not entail (52b). This might seem hard to explain on the view that that -clauses denote propositions. This suggests an analogous account of (50). On my extension of the Montagovian...
Journal Article
The Philosophical Review (2002) 111 (1): 108–113.
Published: 01 January 2002
... not be seen unless God came to our assistance by insisting that extension was “intelligible,” departing from Descartes’s claim in the piece-of-wax passage of the Second Meditation that corporeal objects are “better known” by the mind than the body, by which he meant that the color, taste, odor, and shape...
Journal Article
The Philosophical Review (2023) 132 (2): 320–325.
Published: 01 April 2023
... are interpreted relative to worlds and intervals . In this framework, “will” effectively shifts the interval of evaluation: the embedded tenseless clause is evaluated relative to the interval starting at the time of utterance and continuing into the future indefinitely. This accounts for the future orientation...
Journal Article
The Philosophical Review (2001) 110 (4): 635–638.
Published: 01 October 2001
... “detailed and extensive the descrip- tion may be, there is always the possibility, in principle at least, of a reduplica- tion elsewhere in the universe of the whole scene as described” (27). Leibniz’s principle of the identity of indiscernibles is thus rejected without argument; but let that pass...
Journal Article
The Philosophical Review (2015) 124 (2): 207–253.
Published: 01 April 2015
..., the discussion and references in Maier 2009 , 459; also Schlenker 2004 , 190. For solutions in a possible worlds setting, see Percus and Sauerland 2003 and Ninan 2012 . References Abusch Dorit 1994 . “ The Scope of Indefinites .” Natural Language Semantics 2 : 83 – 135 . Aloni...
Journal Article
The Philosophical Review (2014) 123 (1): 43–77.
Published: 01 January 2014
... Irrelevance of Division, while maintaining Desert and Irrelevance of Others. However, Desert and Irrelevance of Others entail Division Multiplies Desert. If we find the Fault Restriction plausible, we will resist Division Multiplies Desert, and we will perhaps find it repugnant that indefinite division would...
Journal Article
The Philosophical Review (2015) 124 (1): 59–117.
Published: 01 January 2015
... that thing is called N . We called this the being-called condition. Using double-bracket notation to represent the function from a predicate to its extension, we state the being-called condition (schematically) as follows: (13) When ‘ N ’ occurs as a predicate, 〚 ‘ N ’ 〛 = { x : x...
Journal Article
The Philosophical Review (2020) 129 (1): 53–94.
Published: 01 January 2020
... extent anticipated by descriptivism since definite descriptions have essentially parallel uses, that is, uses where the meaning of the description is intuitively anaphoric on an indefinite determiner phrase in an antecedent sentence; see (25). (25) There is a gentleman named Ernest in Hertfordshire...
Journal Article
The Philosophical Review (2008) 117 (1): 1–47.
Published: 01 January 2008
... and K. Stenning, 352 -57. Hillsdale, NJ: Erlbaum. Heim, I. 1982 . “The Semantics of Definite and Indefinite Noun Phrases.” PhD diss. , University of Massachusetts, Amherst. Hollander, M. A., S. A. Gelman, and J. Star. 2002 . “Children's Interpretation of Generic Noun Phrases.” Developmental...