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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._____________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 | |
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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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