Deutsche Gesellschaft
für phänomenologische Forschung

Series | Buch | Kapitel

184641

Zermelo 1932b

pp. 550-555

Abstrakt

What is a "mathematical proposition", a "mathematical proof", a "mathematical theory", a "mathematical discipline"? A general theory of propositional systems as it underlies all mathematical disciplines is the subject of the following considerations outlined briefly here. A mathematical "proposition" makes sense and has a meaning only within a mathematical system, a theory or a (comprehensive) discipline as, e.g., "Euclidean geometry" or the "arithmetic of real numbers". But what are the characteristic features, what are the general basic laws of logic common to all "mathematical systems"?

Publication details

Published in:

Zermelo Ernst (2010) Set theory, miscellanea / Mengenlehre, varia. Dordrecht, Springer.

Seiten: 550-555

DOI: 10.1007/978-3-540-79384-7_30

Referenz:

(2010) Zermelo 1932b, In: Set theory, miscellanea / Mengenlehre, varia, Dordrecht, Springer, 550–555.