Can we express every transfinite concept constructively?

Details Can we express every transfinite concept constructively? Can we express every transfinite concept constructively?

2003-05-17

arxiv.org/abs/math/0305249v1

Mathematics

General Mathematics

40 pages; an HTML version is available at http://alixcomsi.com/Can_we_express_every_transfinite.htm

Scientific paper

In a forthcoming book, professional computer scientist and physicist Paul Budnik presents an exposition of classical mathematical theory as the backdrop to an elegant thesis: we can interpret any model of a formal system of Peano Arithmetic in an appropriate, digital, computational language. In this paper we attempt - without addressing the question of whether or not Budnik succeeds in establishing his thesis convincingly - to identify dogmas of standard interpretations of classical mathematical theory that appear to be implicit in Budnik's exposition, and to correspond to them dogmas of a constructive interpretation of classical theory.

Affiliated with

Also associated with

No associations

Rating

Can we express every transfinite concept constructively? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Can we express every transfinite concept constructively?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Can we express every transfinite concept constructively? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30217