Independence and Justification in Mathematics

Author: Wójtowicz, Krzysztof

Source: Poznan Studies in the Philosophy of the Sciences and the Humanities, Essays in Logic and Ontology. Edited by Jacek Malinowski and Andrzej Pietruszczak , pp. 349-373(25)

Publisher: Rodopi

Buy & download fulltext article:


Price: $20.00 plus tax (Refund Policy)


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.

Document Type: Research Article

Publication date: November 1, 2006

Related content



Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content

Text size:

A | A | A | A
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages. print icon Print this page