Finite functions and the necessary use of large cardinals.

Friedman, Harvey M.

Displaying similar documents to “Finite functions and the necessary use of large cardinals.”

Proof of the alternating sign matrix conjecture.

Zeilberger, Doron (1996)

The Electronic Journal of Combinatorics [electronic only]

Similarity:

A well ordering of the Cartesian product of two ordinals

Alexander Abian (1980)

Archivum Mathematicum

Similarity:

On the number of Russell’s socks or $2 + 2 + 2 + \dots = ?$

Horst Herrlich, Eleftherios Tachtsis (2006)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The following question is analyzed under the assumption that the Axiom of Choice fails badly: Given a countable number of pairs of socks, then how many socks are there? Surprisingly this number is not uniquely determined by the above information, thus giving rise to the concept of Russell-cardinals. It will be shown that: • some Russell-cardinals are even, but others fail to be so; • no Russell-cardinal is odd; • no Russell-cardinal is comparable with any cardinal of the form $ℵ_{α}$ or $2^{ℵ_{α}}$ ;...