Types and operations

Stanisław Ambroszkiewicz · arXiv (Cornell University) · 2015

A revision of the basic concepts of type, function (called here operation), and relation is proposed. A simple generic method is presented for constructing operations and types as concrete finite structures parameterized by natural numbers. The method gives rise to build inductively so called Universe intended to contain all what can be {\em effectively constructed} at least in the sense assumed in the paper. It is argued that the Universe is not yet another formal theory but may be considered as a grounding for some formal theories.

Read the paper · More papers on PaperTik