[FOM] 605: Integer and Real Functions

[Kreinovich, Vladik]

Just FYI, in the paper cited below, we uses similar ideas from physics to explain why time durations form a field


Piet G. Vroegindeweij, Vladik Kreinovich, and Olga Kosheleva.
  "From a connected, partially ordered set of events to a field of
  time intervals," Foundations of Physics, 1980, Vol. 10, No.
  5/6, pp. 469-484

________________________________________
From: fom-bounces at cs.nyu.edu [fom-bounces at cs.nyu.edu] on behalf of WILLIAM TAIT [williamtait at mac.com]
Sent: Thursday, September 03, 2015 7:37 PM
To: Foundations of Mathematics
Cc: William Tait
Subject: Re: [FOM] 605: Integer and Real Functions

On Sep 3, 2015, at 8:22 AM, John Baldwin <jbaldwin at uic.edu> wrote:\

> Hilbert proved that in any Euclidean field one can define a
> multiplication by similarity of triangle that distributes over
> addition. Thus he defines a field of line segments.
> but it has fallen into disuse, for good reason.)

Isn’t the construction Descartes?

Bill

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