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Quote: number words function like quantification operators; if numbers exist then so should quantifiers

topics > all references > references a-b > QuoteRef: benaP_1965 , p. 281



Topic:
what is a number
Topic:
number as the extension of a class of equinumerous classes

Quotation Skeleton

Frege chose as the number 3 the extension … equivalence class--the class of all classes equivalent with … … [p. 283] We have already seen that there are … "), the only putative cases being along the … ["The lions in the zoo are seventeen"], and therefore rather implausible. The other anomaly is that number … in having to appear at the head of … (6) The five lovely little square blue tiles … [p. 283] Number words function so much like operators … should be accompanied by a readiness to make … the one, the many, the few, the all, … [footnote:] And indeed why not "I am the one who gave …   Google-1   Google-2

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Additional Titles

Quote: FregeG defined number as an equivalence class, but numbers are neither predicates nor adjectives

Related Topics up

Topic: what is a number (55 items)
Topic: number as the extension of a class of equinumerous classes (23 items)

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