Restricted Access
Get Access to Full Text

Subject Highlights



In the article the problem of independence in mathematics is discussed. The status of the continuum hypothesis, large cardinal axioms and the axiom of constructablility is presented in some detail. The problem whether incompleteness is really relevant for ordinary mathematics and for empirical science is investigated. Another aim of the article is to give some arguments for the thesis that the problem of reliability and justification of new axioms is well-posed and worthy of attention. In my opinion, investigations concerning the status of independent sentences give insight into our understanding of mathematical concepts, of mathematical knowledge and of the role of mathematics in empirical science.

Table of Contents




All Time Past Year Past 30 Days
Abstract Views 31 31 7
Full Text Views 19 19 10
PDF Downloads 2 2 0
EPUB Downloads 0 0 0

Related Content