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abstraction

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Journal Article
The Philosophical Review (2022) 131 (4): 453–497.
Published: 01 October 2022
...Jon Erling Litland This paper develops a novel theory of abstraction—what we call collective abstraction . The theory solves a notorious problem for noneliminative structuralism. The noneliminative structuralist holds that in addition to various isomorphic systems there is a pure structure that can...
FIGURES
Image
Published: 01 October 2022
Figure 1. Abstracting the two-element graph. More
Journal Article
The Philosophical Review (2002) 111 (2): 314–318.
Published: 01 April 2002
... Press, 2000. Pp. xi, 261. By his own account, Pappas "focuses on three core elements" of Berkeley's thought: abstraction, immediate perception, and common sense (ix). The reader will also find interesting commentary on numerous other aspects of Ber- keley's thought, including detailed treatments...
Journal Article
The Philosophical Review (2022) 131 (4): 523–528.
Published: 01 October 2022
... about Papineau’s central arguments are clearly not decisive, but merely invitations for further discussion of the very interesting lines of thought that Papineau explores in this excellent book. My worry is that the main point that Papineau seems to offer for the claim that FACT is abstract...
Journal Article
The Philosophical Review (2021) 130 (2): 330–335.
Published: 01 April 2021
... to spelling out Linnebo's philosophical ideas. Like neo-Fregeans such as Bob Hale and Crispin Wright (see, e.g., the essays collected in Hale and Wright 2001), Linnebo focuses on abstraction principles, one famous example of which is Hume's principle, The number of Fs = the number of Gs iff the Fs and the Gs...
Journal Article
The Philosophical Review (2007) 116 (4): 633–645.
Published: 01 October 2007
... with Locke’s use of the expression ‘denominates’ but also with the theory of Essay 3.8 (“Of Abstract and Concrete Terms”) and the practice of Essay 2.8 (“Some farther Considerations concerning our simple Ideas 2.  The story is in Book 11 of Ovid’s Metamorphoses...
Journal Article
The Philosophical Review (2003) 112 (3): 427–431.
Published: 01 July 2003
... and Searle say, “Nothing; it is an empty name.” Possibilists say it denotes a non-existent yet pos- sible prince whose mother married his father’s assassin, etc. Meinongians think it denotes a non-existent impossible abstract object that corresponds to the set of all and only those properties attributed...
Journal Article
The Philosophical Review (2002) 111 (2): 297–299.
Published: 01 April 2002
... of recent analytic philosophy, because I believe that this style, which is so characteristic of the linguistic and logical for- malism of the age in which we now live and think, is not Platonic. It is not Pla- tonic, because our modern abstractions tend to anesthetize us to Plato's moral, political...
Journal Article
The Philosophical Review (2007) 116 (3): 401–425.
Published: 01 July 2007
... on the assumption that T itself isn’t committed to the existence of infi nitely many things. So, T doesn’t say that there are infi - nitely many cats or infi nitely many planets; nor (and this will be crucial later on) does T say that there are infi nitely many abstract objects—say, infi nitely many sets...
Journal Article
The Philosophical Review (2010) 119 (3): 337–364.
Published: 01 July 2010
..., novels, chapters, plays, movies, and the like. These are abstract objects created by authors. Fic- tional characters are constituents of these objects. Like the fictions of which they are a part, fictional characters are a special kind of real, exist- ing object. Typically...
Journal Article
The Philosophical Review (2000) 109 (3): 456–459.
Published: 01 July 2000
...- tionalism is among the recent contributions to this important topic. The “realism” of the title conveys the author’s conviction that there are abstract objects-objects that do not participate in the causally integrated, spatiotemporal system of events. The “rationalism” of the title reflects his...
Journal Article
The Philosophical Review (2015) 124 (2): 207–253.
Published: 01 April 2015
...). To be in position to mimic the simple analysis, we must understand it better. A natural question to ask upon first seeing (1d) is: how exactly is the lambda abstraction introduced? After we review one viable answer to this question for the simple analysis, we will be in a position to introduce an alternative answer...
Journal Article
The Philosophical Review (2002) 111 (1): 25–65.
Published: 01 January 2002
.... London: Thomas Nelson and Sons. Dummett, Michael. 1991 . Frege: Philosophy of Mathematics. Cambridge: Harvard University Press. Field, Hartry. 1984 . “Is Mathematical Knowledge Just Logical Knowledge?” Philosophical Review 93 : 509 -53. Fine, Kit. 1998 . “The Limits of Abstraction...
Journal Article
The Philosophical Review (2010) 119 (3): 273–313.
Published: 01 July 2010
... of chairs presents no reason for concern. Whereas a meta- physical theory can plausibly be expected to sustain an ordinary concep- tion of the world, it cannot plausibly be expected to survive in the guise of a folk theory of the world. 2.2. Sortal Sensitivity and Sortal Abstraction Having addressed...
Journal Article
The Philosophical Review (2001) 110 (2): 272–275.
Published: 01 April 2001
...- diately nonsense or to commit us to a supra-individual self (me in general One evasive maneuver in the literature is to interpret transcendental self-con- sciousness as an abstract, formal, logical structure of self-relation that is neces- sarily instantiated, as it were, in individual, empirical...
Journal Article
The Philosophical Review (2015) 124 (2): 275–278.
Published: 01 April 2015
... ∞ , meanwhile, physicists pass to a generalization of this formalism. Now one begins with an abstract algebra of operators corresponding to the various properties associated with the system. States in this more general framework are linear functionals on the algebra whose value at each operator is interpreted...
Journal Article
The Philosophical Review (2018) 127 (3): 426–431.
Published: 01 July 2018
... a formal relationship between its abstract models, such as Turing machines, and physical systems. In contrast, Gualtiero Piccinini's Physical Computation develops a sustained answer grounded in the practices of computer science, in particular the details of computer hardware and architecture...
Journal Article
The Philosophical Review (2015) 124 (2): 261–263.
Published: 01 April 2015
... of necessity be rational and a person. She bolsters this claim in chapter 3, where she argues that the capacities to suspend and to deliberate presuppose abilities that nonhuman animals, and even young children, lack: the ability to form abstract ideas and the ability to retain lasting ideas of reflection...
Journal Article
The Philosophical Review (2013) 122 (3): 511–518.
Published: 01 July 2013
... are not identical with neural or functional state types but rather with abstract structural state types that can be exemplified both by concrete neural state tokens and by isomorphic state tokens in artificial brains. More specifically, mental state types are identical with compositional state types—abstract...
Journal Article
The Philosophical Review (2003) 112 (1): 97–99.
Published: 01 January 2003
... a two-level structure: it begins with a “logical” investigation using only the abstract, topic-neutral concepts of the Organon, then proceeds to a “metaphysical” investigation using the concepts of matter and form.1 ‘Logical’ here transliterates, rather than translates, the Greek logikos, which...