Heyting and Intuitionistic Geometry

D. van Dalen
Additional contact information
D. van Dalen: State University of Utrecht, Mathematical Institute

A chapter in Mathematical Logic, 1990, pp 19-27 from Springer

Abstract: Abstract It may seem strange that the second fully committed intuitionist in mathematics entered his career with a treatise on axiomatic geometry, for axiomatics did have a formalist flavour and one cannot suspect Brouwer, Heyting’s teacher, of leanings in that specific direction. There are a number of possible explanations for the choice of this particular topic — which, by the way, had been suggested by Brouwer. One of them is Brouwer’s own interest in the foundations of geometry in the Pasch-Hilbert-style; his Ph.D.Thesis contained a good deal of geometry and he regularly lectured on the foundations of geometry. His inaugural address as a “privaat docent” bore the title “The nature of geometry”. Hence it is not all that surprising that Heyting choose the intuitionistic foundations as a topic for his Ph.D.thesis.

Date: 1990
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0609-2_2

Ordering information: This item can be ordered from
http://www.springer.com/9781461306092

DOI: 10.1007/978-1-4613-0609-2_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().