Thanks to David Morris,
QUANTAMAGAZINE.ORG
How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer. | Quanta Magazine
For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.
David:
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David:
Noah Moss Brender, Peter Hill, Greg Recco, Mark Sentesy (Mark, there is something close to issues of change vs. motion here under the hood, here, I think, e.g. around determination vs. choice. All very strange and reassuring to know that there are still live questions re number….)
7You, David Morris, Noah Moss Brender and 4 others
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Zsuzsa Baross
"infinity" is a concept, not an existence, just as zero is not a number….
Sha Xin Wei
Mathematicians treat infinity not as a concept but as (Deleuzian) _problem_
What would be more interesting than the Quanta Magazine's fairly conventional metaphysical subtext is a genealogical and ontogenetic approach to the ever-evolving notion of "the real numbers". (compare this with Bitbol, Petitot et al's project) and even more, to recognize maths as a _speculative_ propositional adventure (cf Roy Wagner, after Whitehead, Stengers)