English

Some Notes on Finite Sets

History and Overview 2018-04-09 v6

Abstract

These notes aim to give a gentle account to one approach to the theory of finite sets without making use of the natural numbers. They were written to be used as the basis for a student seminar. There are no real prerequisites except for a certain familiarity with the kind of mathematics seen in the first couple of years of a university mathematics course. The definition of being finite employed in these notes is usually called Kuratowski-finiteness and it is essentially that employed by Whitehead and Russell in Principia Mathematica. This is a revised and extended version of a paper with the same title from November 2015

Cite

@article{arxiv.1509.02747,
  title  = {Some Notes on Finite Sets},
  author = {Chris Preston},
  journal= {arXiv preprint arXiv:1509.02747},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:0809.0105

R2 v1 2026-06-22T10:52:45.876Z