On Monday, August 19, 2019 at 4:08:58 AM UTC-5, Bruno Marchal wrote: > > > On 18 Aug 2019, at 13:57, Philip Thrift <cloud...@gmail.com <javascript:>> > wrote: > > > > On Sunday, August 18, 2019 at 4:53:28 AM UTC-5, Bruno Marchal wrote: >> >> >> Model theory illustrate that pure mathematics has meaning. >> > > > A model is a so-called 'structure': > https://plato.stanford.edu/entries/model-theory/ > > But allowable structures, typically mathematical entities in the model > theories of many, are only material (physical) entities in the model theory > of Hartry Field. > > > That is a bit of nonsense. Or Hartree Field notion of model has nothing to > do with what logicians called a model (a mathematical structure with a > notion of satisfaction). > > > > For example, a model of arithmetic could be an actual semiconductor logic > gate chip with RAM. > > > > I don’t understand this. A model of arithmetic is a set of object which > provides an interpretation of the terms (0, S(0), …), and an interpretation > of + and * (in terms of infinite set of couples). > > Bruno > > >
Conventional mathematical logicians only speak, write, and think in terms of a fictional world. And that includes their models/structures/interpretations. The Field type of semantics of logic and mathematics only has actual material entities (like computers at Best Buy, supercomputers at Los Alamos National Lab, natural objects found in nature) in its domains. Conventional mathematical logicians may not like it, but that is their own psychological problem. @philipthrift -- 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 view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/caff8b79-62e7-4ba5-b875-9114bc9605ae%40googlegroups.com.
