Recursive Synthesis and the Foundations of Mathematics
History and Overview
2007-05-23 v1 Logic
Abstract
This paper presents mathematics as a general science of computation in a way different from the tradition. It is based on the radical philosophical standpoint according to which the content, meaning and justification of experience lies in its precise formulation. The requirement on precise, formal content discloses the relational structure of (mathematical) experience, and gives a new meaning to the `ideal' objects beyond concrete forms. The paper also provides a systematic reason why set theory represents an ultimate stage in mathematical technology.
Cite
@article{arxiv.math/0208184,
title = {Recursive Synthesis and the Foundations of Mathematics},
author = {Aarno Hohti},
journal= {arXiv preprint arXiv:math/0208184},
year = {2007}
}
Comments
20 pages