Re: Oxford University conference regarding Potential Infinity, March 11-12, 2024

On 02/10/2024 11:32 AM, FredJeffries wrote:

https://challengingtheinfinite.com/
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Challenging the Infinite: Debating the Viability of Potential Infinity
in the Foundations of Mathematics
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March 11-12, 2024
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<About the Conference>
The conference aims to foster greater debate and dialogue about the
costs and benefits of potentialism in mathematics. In recent years
there has been a resurgence of interest in potential infinity in a
variety of forms, most notably (though certainly not exclusively) in
Modal Potentialism.
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The exploration of potentialism emerges from different motivations and
philosophical projects. For some it  offers a more rigorous account of
the iterative conception of sets; for others it is part of a broader
pluralism about mathematics; whilst for others still who have
lingering scepticism about the philosophical plausibility of actual
infinity, potentialism offers a less problematic way to interpret much
of the work traditionally done in actualist set theory and
mathematics.....
</About the Conference>
https://challengingtheinfinite.com/about
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Hey, thanks Fred.
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Many here will find that of interest.
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There's a lot going on these days in the "quasi-invariant" about
"continuum laws" and for "laws of large numbers" and "convergence
criteria", here in this channel I often discuss that there are
at least three definitions of continuous domains in mathematics,
reflecting on that largely the concerns of the "infinite" in
mathematics are as of the "infinitely divisible" or "continuous
domains", then also as with respect to studies in physics about
the "linear", "non-linear", "highly-non-linear", and "asymptotic".
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There's a lot going on about "laws of large numbers" and various
of them and that they vary, with usual respect to counting arguments,
and otherwise the usual estimations of expectations of probability.
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There's a lot going on with "singular analysis" and "multiplicity
theory", with regards to "nonstandard analysis with real analytical
character", for example, "0, 1, and infinity being the singular
points of the hypergeometric", since at least the 1920's.
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Here there's a lot considered about Vitali and measure theory,
about the quasi-invariant the measure theory mentioned above,
about doubling spaces according to function theory and topology,
and helping to explain for foundations, why Jordan measure is
like the sigma algebras of line-reals, and why the Dirichlet
problem reflects a lot going on in signal theory.
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One hopes that the conference has a general timeline of the
association of concepts down on through the canon and all,
so that novitiates sort of have some context, vis-a-vis
what of course are their own natural intuitions and concepts.
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--
Ross Finlayson https://www.youtube.com/@rossfinlayson
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