Philosophy Dictionary of Arguments

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 Numbers - Philosophy Dictionary of Arguments
 
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.
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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 Numbers   Chisholm, Roderick
Field, Hartry Numbers   Field, Hartry
Frege, Gottlob Numbers   Frege, Gottlob
Geach, Peter Numbers   Geach, Peter T.
Genz, Hennig Numbers   Genz, Hennig
Gödel, Kurt Numbers   Gödel, Kurt
Hartmann, Nicolai Numbers   Hartmann, Nicolai
Hilbert, David Numbers   Hilbert, David
Logic Texts Numbers   Logic Texts
Mates, Benson Numbers   Mates, Benson
Meixner, Uwe Numbers   Meixner, Uwe
Mill, John Stuart Numbers   Mill, John Stuart
Piaget, Jean Numbers   Piaget, Jean
Plato Numbers   Plato
Poincaré, Henri Numbers   Poincaré, Henri
Prior, Arthur N. Numbers   Prior, Arthur
Quine, W.V.O. Numbers   Quine, Willard Van Orman
Tarski, Alfred Numbers   Tarski, Alfred
Wessel, H. Numbers   Wessel, H.
Wittgenstein, Ludwig Numbers   Wittgenstein, Ludwig

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