On Monday, December 17, 2018 at 10:34:56 PM UTC-6, Brent wrote: > > > > 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 > > >
On Hartry Field, a news item: *Professor Hartry Field (New York University) will give the 2018–2019 Romanell Lecture at the 2019 APA Eastern Division meeting in New York City* [https://blog.apaonline.org/2018/03/16/har try-field-to-give-the-2018-2019-romanell-lecture-on-philosophical-naturalism/ … <https://t.co/pu7vzE9RRp>] 2019 APA Eastern Division Meeting January 7-10, 2019 program: [https://cdn.ymaws.com/www.apaonline. org/resource/resmgr/eastern2019/E2019_Meeting_Program.pdf … <https://t.co/RlBTDaspeG>] *The chair of the selection committee said, “Hartry Field has been a major contributor to metaphysics, epistemology, philosophy of language, logic, and mathematics for almost fifty years. From his earliest work—‘Tarksi’s Theory of Truth’ (Journal of Philosophy, 1972); ‘Theory Change and the Indeterminacy of Reference’ (Journal of Philosophy, 1973); ‘Quine and the Correspondence Theory’ (Philosophical Review, 1974)—Field has developed an extraordinarily sophisticated and detailed naturalistic approach to central questions in philosophy about the relationship between language, mind, and world.”* *Professor Field is also the author of Science without Numbers (1980); Realism, Mathematics, and Modality (1989); Truth and the Absence of Fact (2001); and Saving Truth from Paradox (2008). He is Silver Professor of Philosophy and University Professor at New York University.* "In the 1980s, Field started a project in the philosophy of mathematics discussing mathematical fictionalism, the doctrine that all mathematical statements are merely useful fictions, and should not be taken to be literally true. More precisely, *Field holds that the existence of sets may be denied, in opposition to Quine and Putnam.*" [Wikipedia] - pt -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
