Philosophy Dictionary of Arguments

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 Hartry Field - Philosophy Dictionary of Arguments
 
Hartry Field (1946), American philosopher. His major works include Science Without Numbers (1980), Realism, Mathematics and Modality (1989), and Truth and the Absence of Fact (2001). His fields of specialization are philosophy of mathematics, philosophy of science, epistemology, and metaphysics.

Standard data for cataloging: VIAF LCCN GND

 
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
Black, Max Numbers   Black
Carnap, Rudolf Numbers   Carnap
Chisholm, Roderick Numbers   Chisholm
Field, Hartry Numbers   Field
Frege, Gottlob Numbers   Frege
Geach, Peter Numbers   Geach
Genz, Hennig Numbers   Genz
Gödel, Kurt Numbers   Gödel
Hartmann, Nicolai Numbers   Hartmann
Hilbert, David Numbers   Hilbert
Logic Texts Numbers   Logic Texts
Mates, Benson Numbers   Mates
Meixner, Uwe Numbers   Meixner
Mill, John Stuart Numbers   Mill
Piaget, Jean Numbers   Piaget
Plato Numbers   Plato
Poincaré, Henri Numbers   Poincaré
Prior, Arthur N. Numbers   Prior
Quine, W.V.O. Numbers   Quine
Tarski, Alfred Numbers   Tarski
Wessel, H. Numbers   Wessel
Wittgenstein, Ludwig Numbers   Wittgenstein

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