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QuoteRef: quinWV2_1947
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references p-r
Group:
philosophy of mathematics
Topic:
abstraction
Topic:
number and arithmetic as part of language
Topic:
meaning by use
Topic:
logic
Topic:
variable as reference to a value
Topic:
language and life as a game
Topic:
parameters as argument place holders
Topic:
sentences, propositions, and truth
Topic:
names as place holders
Group:
sets
Topic:
set definition by extension or intension
Reference
Quine, W.V., "Logic and the reification of universals", "mainly from "On the problem of universals" at the Association for Symbolic Logic February 1947, New York.", pp. 102-129, Quine, W.V., From A Logical Point of View, Cambridge, Harvard University Press, 1980, 2nd edition, revised. Google
103 ;;Quote: classical mathematics requires and assumes universals as values of its bound variables; e.g., numbers
103+;;Quote: what there is does not in general depend on one's use of language, but what one says there is does
104 ;;Quote: all uses of the variable 'x' can be transformed into qualification, classes, functions, or combinators; e.g., singular description
106 ;;Quote: ordinary language philosophy is right to doubt the adequacy of any criterion, but wrong to question the study of ontological presuppositions
108 ;;Quote: logical propositions are best treated as schemata for true statements
114 ;;Quote: classes are abstract entities, universals, but not aggregates or collections; e.g., a heap of stones is not a class, What is its size?
ThesaHelp: references p-r (245 items)
Group: philosophy of mathematics (11 topics, 330 quotes)
Topic: abstraction (62 items)
Topic: number and arithmetic as part of language (30 items)
Topic: meaning by use (58 items)
Topic: logic (84 items)
Topic: variable as reference to a value (21 items)
Topic: language and life as a game (30 items)
Topic: parameters as argument place holders (15 items)
Topic: sentences, propositions, and truth (23 items)
Topic: names as place holders (4 items)
Group: sets (7 topics, 148 quotes)
Topic: set definition by extension or intension (18 items)