Philosophy Lexicon of Arguments

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Numbers: whether numbers are objects or concepts, has been controversial in the philosophical discussion for millennia. The most widely accepted definition today is given by G. Frege (G. Frege, Grundlagen der Arithmetik 1987, p. 79ff). Frege-inspired notions represent numbers as classes of classes, or as second-level terms, or as that with one measure the size of sets. Up until today, there is an ambiguity between concept and object in the discussion of numbers. See also counting, sets, measurements, mathematics, abstract objects, mathematical entities, theoretical entities, number, platonism.

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.
Author Item    More concepts for author
Bigelow, John Numbers   Bigelow, John
Black, Max Numbers   Black, Max
Carnap, Rudolf Numbers   Carnap, Rudolf
Chisholm, Roderick M. Numbers   Chisholm, Roderick M.
Field, Hartry Numbers   Field, Hartry
Frege, Gottlob Numbers   Frege, Gottlob
Geach, Peter T. Numbers   Geach, Peter T.
Genz, H. Numbers   Genz, H.
Gödel, K. Numbers   Gödel, K.
Hartmann, Nicolai Numbers   Hartmann, Nicolai
Hilbert, D. Numbers   Hilbert, D.
Logic Texts Numbers   Logic Texts
Mates, B. Numbers   Mates, B.
Meixner, Uwe Numbers   Meixner, Uwe
Mill, John Stuart Numbers   Mill, John Stuart
Poincaré, H. Numbers   Poincaré, H.
Prior, Arthur Numbers   Prior, Arthur
Quine, Willard Van Orman Numbers   Quine, Willard Van Orman
Tarski, A. Numbers   Tarski, A.
Wessel, H. Numbers   Wessel, H.
Wittgenstein, L. Numbers   Wittgenstein, L.

Authors A   B   C   D   E   F   G   H   I   J   K   L   M   N   O   P   Q   R   S   T   U   V   W   Z  

Concepts A   B   C   D   E   F   G   H   I   J   K   L   M   N   O   P   Q   R   S   T   U   V   W   Z  

Ed. Martin Schulz, access date 2018-01-17