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Frege's Changing Conception of Number
Author(s) -
KLEMENT KEVIN C.
Publication year - 2012
Publication title -
theoria
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.34
H-Index - 16
eISSN - 1755-2567
pISSN - 0040-5825
DOI - 10.1111/j.1755-2567.2012.01129.x
Subject(s) - trace (psycholinguistics) , connection (principal bundle) , natural number , epistemology , natural (archaeology) , position (finance) , period (music) , philosophy , mathematics , history , aesthetics , linguistics , discrete mathematics , geometry , economics , archaeology , finance
I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second‐level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze , and, later, after learning of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood.