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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
