## Combinatorial Speculations and the Combinatorial Conjecture for Mathematics

**Authors:** Linfan Mao

Combinatorics is a powerful tool for dealing with relations among
objectives mushroomed in the past century. However, an more important work
for mathematician is to apply combinatorics to other mathematics and other
sciences not merely to find combinatorial behavior for objectives. Recently,
such research works appeared on journals for mathematics and theoretical
physics on cosmos. The main purpose of this paper is to survey these thinking
and ideas for mathematics and cosmological physics, such as those of
multi-spaces, map geometries and combinatorial cosmoses, also the
combinatorial conjecture for mathematics proposed by myself in 2005. Some
open problems are included for the 21th mathematics by a combinatorial
speculation.

**Comments:** 19 pages.

**Download:** **PDF**

### Submission history

[v1] 20 Apr 2011

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