Philosophy Lexicon of Arguments

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Consistency, philosophy, logic: 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.
 
Author Item Excerpt Meta data

 
Books on Amazon
I 128
Consistency / existence / Frege: from c. does not follow existence -

F I
G. Frege
Die Grundlagen der Arithmetik Stuttgart 1987

F II
G. Frege
Funktion, Begriff, Bedeutung Göttingen 1994

F IV
G. Frege
Logische Untersuchungen Göttingen 1993


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Ed. Martin Schulz, access date 2017-05-23