Philosophy Dictionary of ArgumentsHome | |||
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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.
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Consistency, philosophy, logic: The expression of consistency is applied to systems or sets of statements. From a contradictory system any statement can be derived (see ex falso quodlibet). Therefore, contradictory systems are basically useless. It is characteristic of a consistent system that not every statement can be proved within it. See also systems, provability, proofs, calculus, consistency, theories, completeness, validity, expressiveness. Within a system, consistency may be demonstrated, but not beyond the boundaries of this system, since the use of the symbols and the set of possible objects are only defined for this system. Within mathematics, and only there applies that the mathematical objects, which are mentioned in consistent formulas, exist (Hilbert, Über das Unendliche, 1926). See also falsification, verification, existence, well-formed._____________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 | Consistency | Bigelow | |
Feyerabend, Paul | Consistency | Feyerabend | |
Field, Hartry | Consistency | Field | |
Frege, Gottlob | Consistency | Frege | |
Gödel, Kurt | Consistency | Gödel | |
Henkin, Leon | Consistency | Henkin | |
Hilbert, David | Consistency | Hilbert | |
Mates, Benson | Consistency | Mates | |
Millikan, Ruth | Consistency | Millikan | |
Mischel, Walter | Consistency | Mischel | |
Quine, W.V.O. | Consistency | Quine | |
Tarski, Alfred | Consistency | Tarski | |
Thiel, Christian | Consistency | Thiel | |
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