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

Zermelo 1935

pp. 582-599

The following considerations elaborate ideas whose preliminary outlines I surveyed in September 1932 at the meeting of mathematicians in Bad Elster (see Zermelo 1932a). They essentially rest on the concept of the "founding relations" of which I already made use in 1930 in my paper on "boundary numbers and domains of sets" (Zermelo 1930a) in the special case of the ε-relation (the insertion of an element into a set). I therefore begin with a general characterization of this concept, which, in a certain sense, extends Cantor's "well-ordering", and then turn to its application to the syllogistic of propositional systems.

Publication details

DOI: 10.1007/978-3-540-79384-7_35

Full citation:

(2010). Zermelo 1935, in Set theory, miscellanea / Mengenlehre, varia, Dordrecht, Springer, pp. 582-599.

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