Re: Extending the reals


Ross A. Finlayson wrote:
cbrown@xxxxxxxxxxxxxxxxx wrote:

For the third time in this thread, "dense", "connected", and
"continuous" have different meanings. And "gapless" has no particular
meaning to me at all; unless it is supposed to mean "dense".


So is it a complete ordered field?

Otherwise there's not the arithmetic on it, defying its stated
properties.

Sets are defined by their elements and N in the generic extension
bijects to R. Transfinite cardinals is finitism.

Or how about this:

Fractal functions form the fjords of finitism.

(Well actually, fractal functions form the fjords of /computability/.
But "computability" doesn't start with "f".)

Cheers - Chas

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