Re: Foundations Of Mathematics Absconditus
Jon Awbrey <[email protected]>
| Newsgroups | gmane.comp.inquiry |
|---|---|
| Message-ID | <[email protected]> |
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o FOMA. Note 4 : Euthyphro and Proof and Peirce o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o Re: Timothy Chow on "Euthyphro and Proof" At: http://www.cs.nyu.edu/pipermail/fom/2009-January/013307.html There is at least one conceptual framework I know of that does not force us to make a dichotomous choice between "objective" and "subjective" when it comes to the grounds of validity for inference and proof. A pragmatic-semiotic framework of the sort that C.S. Peirce developed in his theories of signs and inquiry allows us to view processes like computation and inference as species of inquiry, in particular, as sign-transforming processes that increase the clarity of information that signs convey about their objective referents. Jon Awbrey o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o inquiry e-lab: http://stderr.org/pipermail/inquiry/ mwb: http://www.mywikibiz.com/Directory:Jon_Awbrey knol: http://knol.google.com/k/-/-/3fkwvf69kridz/1 mathweb: http://www.mathweb.org/wiki/User:Jon_Awbrey planet math: http://planetmath.org/?op=userobjs;id=15246 proof wiki: http://www.proofwiki.org/wiki/User:Jon_Awbrey o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o