Re: A different take on the ontological status of Math

2014-01-16 Thread Bruno Marchal
On 15 Jan 2014, at 21:03, Chris de Morsella wrote: Stephen -- I like how he derives the natural numbers from some basic set operations on an empty set. One question though how does the empty set itself arise. Arithmetic is equivalent to finite set theory (hereditary finite set theory,

RE: A different take on the ontological status of Math

2014-01-15 Thread Chris de Morsella
Stephen -- I like how he derives the natural numbers from some basic set operations on an empty set. One question though how does the empty set itself arise. While an empty set contains; it is not the same thing as nothing. It is a container; it envelopes, contains, encompasses. Even if something

Re: A different take on the ontological status of Math

2014-01-12 Thread Bruno Marchal
On 11 Jan 2014, at 16:06, Platonist Guitar Cowboy wrote: On Sat, Jan 11, 2014 at 3:47 PM, Stephen Paul King stephe...@provensecure.com wrote: Dear Friends, I highly recommend Louis H. Kauffman's new blog. His latest post speaks to the Becoming interpretation of mathematics that I

Re: A different take on the ontological status of Math

2014-01-12 Thread Richard Ruquist
On Sun, Jan 12, 2014 at 4:43 AM, Bruno Marchal marc...@ulb.ac.be wrote: On 11 Jan 2014, at 16:06, Platonist Guitar Cowboy wrote: On Sat, Jan 11, 2014 at 3:47 PM, Stephen Paul King stephe...@provensecure.com wrote: Dear Friends, I highly recommend Louis H. Kauffman's new blog. His

Re: A different take on the ontological status of Math

2014-01-11 Thread Platonist Guitar Cowboy
On Sat, Jan 11, 2014 at 3:47 PM, Stephen Paul King stephe...@provensecure.com wrote: Dear Friends, I highly recommend Louis H. Kauffman's new blog. His latest post speaks to the Becoming interpretation of mathematics that I advocate:

Re: A different take on the ontological status of Math

2014-01-11 Thread Alberto G. Corona
By the way 2014/1/11, Platonist Guitar Cowboy multiplecit...@gmail.com: On Sat, Jan 11, 2014 at 3:47 PM, Stephen Paul King stephe...@provensecure.com wrote: Dear Friends, I highly recommend Louis H. Kauffman's new blog. His latest post speaks to the Becoming interpretation of

Re: A different take on the ontological status of Math

2014-01-11 Thread LizR
The mathematical entity GG wraps right around itself. Just so does our language and apparent existence wrap around itself and give us the possibility that we are ‘nothing more’ than our own description of our own description, a kind of illusion that generates its own illusion. Lovely! The sort

Re: A different take on the ontological status of Math

2014-01-11 Thread Platonist Guitar Cowboy
Note however that Kauffman does not go into axioms involved for set theory, whichever version he is referencing I can't make out, and steps to the side of that. The article would loose a bit of its metaphorical slickness if he had, I'd guess... PGC On Sat, Jan 11, 2014 at 10:45 PM, LizR