𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Grasping Infinity by Finite Sets

✍ Scribed by Ferrante Formato; Giangiacomo Gerla

Book ID
102942637
Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
546 KB
Volume
44
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We show that the existence of an infinite set can be reduced to the existence of finite sets β€œas big as we will”, provided that a multivalued extension of the relation of equipotence is admitted. In accordance, we modelize the notion of infinite set by a fuzzy subset representing the class of (finite) wide sets.

πŸ“œ SIMILAR VOLUMES

Matrices induced by endomorphisms of fin
Matrices induced by endomorphisms of finite sets
✍ W. Byers πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 705 KB

## A map u from a linearly ordered finite set into itself induces a matrix A(a). If u is a cyclic permutation, A(o) is either primitive or reducible. In the latter case the characteristic polynomial of A(u) has a product decomposition. If u is monotonic, then both factors arise from the characterist