Set Theory and Logic

2301 Submissions

[3] viXra:2301.0131 [pdf] submitted on 2023-01-26 01:34:45

��-Small Subobjects and Universal Categories

Authors: Ryan J. Buchanan
Comments: 5 Pages.

This paper develops the notion of ��-smallness as proposed by Barwick and Haine. This allows the author to investigate pointlike topological spaces from a category-theoretic perspective, by considering manifolds of negative dimension as cardinally inaccessible k-subobjects.
Category: Set Theory and Logic

[2] viXra:2301.0055 [pdf] submitted on 2023-01-10 22:04:00

Cardinality Between Natural and Real Numbers

Authors: Federico Gabriel
Comments: 1 Page.

Is the set of real numbers not denumerable?
Category: Set Theory and Logic

[1] viXra:2301.0018 [pdf] submitted on 2023-01-04 02:31:42

A Logical Problem

Authors: Elmar Guseinov
Comments: 1 Page. In Russian

Alpaca (A), Bull (B), Cat (C), Dog (D), Elephant (E) and Fox (F) inhabit each of three planets. Each of sixty people visited each of the planets and made friends there with exactly two inhabitants. It's known that the new friends of a person formed the whole set {A,B,C,D,E,F}. Also, any two inhabitants of different species living on different planets have exactly eight mutual human friends. For each person, determine with which inhabitants of each of the planets he is friends.
Category: Set Theory and Logic