On 12/16/2018 12:58 PM, Jason Resch wrote:
It's not "my Platonic arithmetic theory" --- This is the a very
popular theory among mathematicians
<https://docs.google.com/forms/d/e/1FAIpQLSeEAvukZItOCKGXXBf38pv0OlPOxT0i8N7qPky35TqoWgwNQQ/viewanalytics>
and also the most commonly held ideas in philosophy of mathematics
among professional mathematicians.
Prominent mathematicians that were well known Platonists, include:
* Bertrand Russell
<https://en.wikipedia.org/wiki/Bertrand_Russell>,^[12]
<https://en.wikipedia.org/wiki/Platonism#cite_note-SEP-P-12>
Russell wrote, "In mathematics we never know what we're talking about
nor whether what we say is true." Russell was ready to accept anything
into mathematics, but I don't think that made him a Platonist.
* Alonzo Church <https://en.wikipedia.org/wiki/Alonzo_Church>,^[12]
<https://en.wikipedia.org/wiki/Platonism#cite_note-SEP-P-12>
* Kurt Gödel <https://en.wikipedia.org/wiki/Kurt_G%C3%B6del>,^[12]
<https://en.wikipedia.org/wiki/Platonism#cite_note-SEP-P-12>
* W. V. O. Quine
<https://en.wikipedia.org/wiki/W._V._O._Quine>,^[12]
<https://en.wikipedia.org/wiki/Platonism#cite_note-SEP-P-12>
Quine argued that what exists is whatever is posited by our accepted
theories of science. He thought this meant that mathematics necessary
to science was "real", but I don't know what he thought of Harty Field.
Brent
* David Kaplan
<https://en.wikipedia.org/wiki/David_Kaplan_(philosopher)>,^[12]
<https://en.wikipedia.org/wiki/Platonism#cite_note-SEP-P-12>
* Saul Kripke <https://en.wikipedia.org/wiki/Saul_Kripke>,^[12]
<https://en.wikipedia.org/wiki/Platonism#cite_note-SEP-P-12>
* Edward Zalta <https://en.wikipedia.org/wiki/Edward_Zalta>.^[13]
<https://en.wikipedia.org/wiki/Platonism#cite_note-13>
* John Conway
* Roger Penrose
https://plato.stanford.edu/entries/platonism/
https://en.wikipedia.org/wiki/Platonism#Modern_Platonism
https://www.quora.com/What-is-your-opinion-on-mathematical-Platonism
https://www.youtube.com/watch?v=TKlPj_qGIt8
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