Re: #485 what is infinite and what is finite in geometry; there are not infinitely many polygons on sphere; new textbook: "Mathematical-Physics (AP-adic primer) for students of age 6 onwards"

From: Math1723 <anonym1723@xxxxxxx>
Date: Fri, 28 Dec 2007 13:49:42 -0800 (PST)

On Dec 28, 11:16 am, "Ross A. Finlayson" <r...@xxxxxxxxxxxxxxx> wrote:

Here's another (modern) one: in the consideration of Goedelian
incompleteness, Paris and Kirby posit that of the "true, but
unprovable" statements about the natural integers, that some of them
are due a "nonstandard countable" model of the natural integers. That
would be different from, say, the Robinsonian hyperintegers, which are
equivalent to all infinite length strings on a finite alphabet...

<snip>

Where do you get that Robinsonian hyperintegers "are equivalent to all
infinite length strings on a finite alphabet"? When you say
"equivalent", do you simply mean that both have the cardinality of the
continuum, or do you have another "equivalence" in mind?
.

References:
- Re: #464 Iowa State website contradicts a different website where
  - From: David Bernier
- #472 Hyperbolic quadrilateral whose four angles are 60 degrees; redefining Hyperbolic-rectangle
  - From: a_plutonium
- Re: #472 Hyperbolic quadrilateral whose four angles are 60 degrees; redefining Hyperbolic-rectangle
  - From: David Bernier
- Re: #485 what is infinite and what is finite in geometry; there are not infinitely many polygons on sphere; new textbook: "Mathematical-Physics (AP-adic primer) for students of age 6 onwards"
  - From: David R Tribble
- Re: #485 what is infinite and what is finite in geometry; there are not infinitely many polygons on sphere; new textbook: "Mathematical-Physics (AP-adic primer) for students of age 6 onwards"
  - From: Ross A. Finlayson
- Re: #485 what is infinite and what is finite in geometry; there are not infinitely many polygons on sphere; new textbook: "Mathematical-Physics (AP-adic primer) for students of age 6 onwards"
  - From: Ross A. Finlayson

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