God and man in the mathematics of Kronecker
type: Item
instance of: scholarly article
title: God and man in the mathematics of Kronecker
zbMATH Open document ID: 0645.01011
DOI: 10.1016/0315-0860(86)90092-3
author: Francesco Gana
published in: Historia Mathematica
publication date: 1986-01-01T00:00:00Z
review text: The paper gives an attempt to present Kronecker's ideas on the foundations of mathematics and the concept of number as published in a paper of 1887. The author pretends to describe the content of that paper ``in a rather free way'', i.e., making use (and abuse) of modern symbolism: as a matter of fact the reader is flooded in a flow of personal symbols invented by the author so that in comparison Kronecker's own words appear of rare evidence. Unfortunately, moreover, there are many flaws and mistakes in the paper; in particular, the very first step of the author's `reconstruction' is based on the consideration of the ring(ö) N of the natural numbers, which makes rather dubious all the rest.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 03-03
zbMATH DE Number: 4051538
zbMATH Keywords: concept of number
zbMATH Keywords: arithmetization
zbMATH Keywords: foundations of mathematics
zbMATH Keywords: natural numbers
reviewed by: Umberto Bottazzini
MaRDI profile type: Publication
full work available at URL: 0315-0860(86)90092-3
OpenAlex ID: W2091237598
cites work: Q5571665
cites work: Q4082752
cites work: The genesis of ideal theory
cites work: La méthode mathématique de Dedekind.
description: scientific article; zbMATH DE number 4051538