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Is anyone using Mathematica to work on t'Hooft's new book on CA?

Posted 7 years ago
POSTED BY: Lee Bloomquist
6 Replies
POSTED BY: Todd Rowland
POSTED BY: Todd Rowland
POSTED BY: Todd Rowland

Thank you Todd, in this [Fqxi essay submission][1] there are "streams" and "Chu spaces." how would you suggest implementing these? LB

POSTED BY: Lee Bloomquist

The starting point is the "non-well founded" set.

https://plato.stanford.edu/entries/nonwellfounded-set-theory/

Jon Barwise and Lawrence Moss have written a book, "Vicious Circles,"

https://web.stanford.edu/group/cslipublications/cslipublications/site/1575860082.shtml

from which I got this idea of time:

properTime = (clockTime, properTime)

Next I modeled clockTime using nonstandard analysis:

clockTime = (nonstandardFuture, standardPresent, nonstandardPast)

Here clockTime is a "monad" as that term is used in nonstandard analysis. Around the standard part of the monad, a real number, there are nonstandard real numbers infinitely close.

H. Jerome Keisler has written a book on nonstandard analysis which you can download for free.

https://www.math.wisc.edu/~keisler/

Now I must confess that I don't yet have a license to Mathematica. So I'm probably putting the cart before the horse to bother you like this. I apologize.

LB

POSTED BY: Lee Bloomquist
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