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

2006-01-30 Thread Stephen Paul King
Hi Marc,       I share with you a feeling that there is something missing in the static picture of mathematical truth as painted in Platonism; there is no fundamental sense of where Becoming originates. It has been a perpetual problem for Platonist to explain how to derive our sense of chang

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

2006-01-30 Thread Bruno Marchal
Le 27-janv.-06, à 10:08, Marc Geddes a écrit : For one thing:  Are platonic mathematical entities really static and timeless like platonist philosophers say?  What if platonic mathematical entities can 'change state' somehow ?  What if they're dynamic?  And what if the *movement* of platonic

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

2006-01-29 Thread [EMAIL PROTECTED]
Pete Carlton > Hi Marc -- > > it's interesting to wonder about "what it would be like" to directly > perceive mathematics -- but we also have to acknowledge when we ask > the question, what are the philosophical assumptions we're smuggling > along. For instance, the human brain is not capable of

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

2006-01-28 Thread Pete Carlton
Hi Marc -- it's interesting to wonder about "what it would be like" to directly perceive mathematics -- but we also have to acknowledge when we ask the question, what are the philosophical assumptions we're smuggling along. For instance, the human brain is not capable of direct perceptio

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

2006-01-27 Thread Benjamin Udell
to it, so far. Best, Ben Udell - Original Message - From: "Benjamin Udell" <[EMAIL PROTECTED]> To: Sent: Friday, January 27, 2006 8:17 AM Subject: Re: Mathematics: Is it really what you think it is? Marc, Bruno, Russell, Hal, list, First, a general note -- thanks, H

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 se

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, si