Twin Paradox and the Logical Foundation of Relativity Theory

  • Thread starter chronon
  • Start date
  • #1
chronon
500
0
I just noticed the following on the Philsci archive.

Judit, X. Madárasz and István, Németi and Gergely, Székely (2005) Twin Paradox and the Logical Foundation of Relativity Theory.
http://philsci-archive.pitt.edu/archive/00002358/

They seem to be saying that inertial frames can be dealt with using algebraic numbers, which allows a 1st order axiomatization. However accelerated frames require further axioms, equivalent to moving to the real numbers (I'm not sure whether this means higher order axioms). This seems reasonable to me, since acceleration means differential equations, which means going beyond the algebraic numbers.

I'd be interested to hear other people's opinions on this.
 

Answers and Replies

  • #2
CrankFan
139
0

Suggested for: Twin Paradox and the Logical Foundation of Relativity Theory

  • Last Post
Replies
10
Views
587
Replies
14
Views
779
  • Last Post
Replies
6
Views
565
Replies
5
Views
504
Replies
26
Views
950
Replies
2
Views
2K
Replies
21
Views
799
Replies
6
Views
827
Replies
24
Views
1K
  • Last Post
2
Replies
35
Views
3K
Top