Philosophy Lexicon of Arguments

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Ramsey, Frank P.
 
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Paradoxes Berka I 371
Antinomies/Ramsey: Subdivision:
A) Semantic: Liar, Grelling/Nelson, Russellian A. of the designation.
B) syntactically (logically): antinomy of Cantor, of Burali Forti, Russell's set of all sets which do not contain themselves as elements.
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I 372
Antinomies/Paradoxes/Solution/Berka: a) Axiomatization, (Fraenkel, v. Neumann, Bernays, Quine)
B) (Russell, K├Ânig, Brouwer, Hilbert): Verification of the logical foundations of set theory and mathematics. > Type theory, > Separation of object and meta language.

Rams I
F. P. Ramsey
The Foundations of Mathematics and Other Logical Essays 2013

Brk I
K. Berka/L. Kreiser
Logik Texte Berlin 1983


> Counter arguments against Ramsey
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Ed. Martin Schulz, access date 2017-04-26