Propositions As Types
Jon Awbrey <[email protected]> Sun, 03 Feb 2013 07:08:13 -0500
| Newsgroups | gmane.comp.inquiry |
|---|---|
| Message-ID | <[email protected]> |
Peircers, Here is an old hobby horse of mine in which I thought I saw, and think I still see, a potential application for Peirce's logical graphs, at least so for as the Alpha graphs for propositional logic go. It was brought back to mind by a recent mention of mathematical analogies, dualities, and other tricky business on the Gödel's Lost Letter blog. | Re: Richard J. Lipton | At: http://rjlipton.wordpress.com/2013/01/26/making-primes-more-random/ | | One of my favorite tricks — it seems almost too tricky to be true — | is the Propositions As Types Analogy. And I seem to see hints that | the 2-part analogy can be extended to a 3-part analogy, as follows. | | • proof hint : proof : proposition ~::~ untyped term : typed term : type | | See my working notes on Propositions As Types for more information: | | • http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositions_As_Types Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ mwb: http://www.mywikibiz.com/Directory:Jon_Awbrey oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache