Infinity in mathematics. Struggles with a necessary but troublesome concept

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Published: 2014-06-24
Keywords:
actual infinity, potential infinity, set theory, infinitely small, infinitely large, cardinal number, ordinal number

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Roman Murawski
Adam Mickiewicz University, Faculty of Mathematics and Computer Science , Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

Abstract

Infinity has appeared in mathematics since the very beginning. Moreover the mathematical concept of infinity was and is connected with philosophical and theological concepts. The aim of the paper is to show how mathematicians struggled with this concept and how they tried to bring it under control.

Article Details

Issue

No. 55 (2014)

Section

Articles

How to Cite

Infinity in mathematics. Struggles with a necessary but troublesome concept. (2014). Philosophical Problems in Science (Zagadnienia Filozoficzne W Nauce), 55, 5-42. https://www.zfn.edu.pl/index.php/zfn/article/view/34