Re: The reality of sets, on a scale of 1 to 10 (theory of theories)

On 03/24/2025 07:24 AM, Jim Burns wrote:

On 3/23/2025 2:23 PM, Ross Finlayson wrote:

On 03/23/2025 10:33 AM, Jim Burns wrote:

On 3/22/2025 9:36 PM, Ross Finlayson wrote:

On 03/22/2025 01:07 PM, Moebius wrote:

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Nuff said (concerning the context). :-P

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Does it live in
a mathematical platonist's real universe
of all the mathematical objects?
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Or rather, mathematical platonism's?

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⎛ Most writers on the subject seem to agree
⎜ that the typical working mathematician is
⎜ a Platonist on weekdays and
⎜ a formalist on Sundays.
⎝
  — Philip J. Davis.

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Oh, what about a mathematical universe hypothesis?
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Combining a strong mathematical platonism with
a strong mathematical universe hypothesis and
a strong logicist positivism, is there "A Theory",
at all?

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Yes.
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The Theory?

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No.
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So, you'll aver that there is a theory, then
that there's a greater theory, and so on, in
all higher orders of theory, in the limit complete?
A sort of "continuum limit" of theory?
The Theory?
It's a pretty good quote you often mention
about platonists and formalists, yet, some
are both platonists and formalists all the time.