Mathematics: Is it really what you think it is?

2006-01-27 Thread Marc Geddes
Open question here: What is mathematics? ;) A series of intuitions I've been having have started to suggest to me that mathematics may not at all be what we think it is! The idea of 'cognitive closure' (Colin McGinn) looms large here.The human brain is not capable of direct perception of

Re: Mathematics: Is it really what you think it is?

2006-01-27 Thread Kim Jones
On 27/01/2006, at 8:08 PM, Marc Geddes wrote: Open question here: What is mathematics? ;) (SNIP) Suppose then, that some variant of platonism is true and mathematical entities exist 'out there' and there is *in principle* a modality ( a method of sensory perception like hearing,

Re: Mathematics: Is it really what you think it is?

2006-01-27 Thread Benjamin Udell
Marc, Bruno, Russell, Hal, list, First, a general note -- thanks, Hal, for the link to your paper on the Universal Dovetailer. I have gotten busy with practical matters, so I've gone quiet here. I hope to have time to pursue the UD soon. As to a sensory modality for mathematical objects. The

Re: Mathematics: Is it really what you think it is?

2006-01-27 Thread Benjamin Udell
Marc, list, The heck with the train. I'll do chores today instead. I should add to that which I said below, in order to respond to Marc's remarks a bit more specifically. Insofar as any sensory form of mathematical objects will have some sort of flavors in whose terms the senses sample the