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Author Topic:   Mathematics and Nature
Ben!
Member (Idle past 1428 days)
Posts: 1161
From: Hayward, CA
Joined: 10-14-2004


Message 24 of 90 (269007)
12-13-2005 9:07 PM
Reply to: Message 23 by nwr
12-13-2005 1:54 PM


Re: Why mathematics is so useful in the sciences
I think this is a clear, concise, correct summary.
Math is a tool that fit the bill.
I hope we can find appropriate math tools to describe cognition and neuroscience. Looks like some signal analysis might be doing the trick. But looks like some of those tools (such as wavelet analsyis, independent component analysis, and "Parallel Factor Analysis" [which I'll start reading about tomorrow] ) are being driven by the science.
So it's not even just a one way street; further evidence of the relationship you described in your post.
At least, that's how I see it.
Ben

This message is a reply to:
 Message 23 by nwr, posted 12-13-2005 1:54 PM nwr has replied

Replies to this message:
 Message 25 by nwr, posted 12-13-2005 9:27 PM Ben! has replied

  
Ben!
Member (Idle past 1428 days)
Posts: 1161
From: Hayward, CA
Joined: 10-14-2004


Message 26 of 90 (269021)
12-13-2005 9:34 PM
Reply to: Message 25 by nwr
12-13-2005 9:27 PM


Re: Why mathematics is so useful in the sciences
Well I'm IN the library right now, so...
(looking it up)
found it.
(Running upstairs to get it... )

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 Message 25 by nwr, posted 12-13-2005 9:27 PM nwr has not replied

  
Ben!
Member (Idle past 1428 days)
Posts: 1161
From: Hayward, CA
Joined: 10-14-2004


Message 34 of 90 (269437)
12-14-2005 8:31 PM
Reply to: Message 31 by RAZD
12-14-2005 8:21 PM


Re: Why mathematics is so useful in the sciences
Take the counting of objects as an example: no two objects are really completely, purely 100% identical, so there is only 1 of anything. We "fuzzy" the definition of "object" to include a set of extremely similar objects - idealize them - to apply the intellectual concept.
I'm not so sure this is a valid objection. After all, if you're going to talk about "reality", then you have to also say that there's actually not any "1" thing at all; "objects" change all the time, whether it's their molecular motion or some atoms getting scrubbed off, etc.
And if you really want to talk "reality" and abstraction... then talk about how "objects" are "identified" and "persist", even though the input signals we get from the world basically show us CHANGE. "Objectness" itself is an abstraction, an abstraction of the human mind. It fits right in with all other types of categorization.
So I would say that, exactly in the same way that math is an abstraction of some "reality", so is our consciousness. We live an abstraction.
And in the same way, I would say, don't mistake the abstraction for the "reality".
Don't mean to push this off topic, just to point out that ... if you're going to go the philosophical route you are going, I think it's proper to "complete" the route.
Ben

This message is a reply to:
 Message 31 by RAZD, posted 12-14-2005 8:21 PM RAZD has replied

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Ben!
Member (Idle past 1428 days)
Posts: 1161
From: Hayward, CA
Joined: 10-14-2004


Message 40 of 90 (269472)
12-14-2005 9:06 PM
Reply to: Message 39 by nwr
12-14-2005 9:01 PM


Re: Why mathematics is so useful in the sciences
Gee nwr, thanks for saying what I said in 4 paragraphs, in 2 lines.
Back to the drawing board One of these days, I'll figure out this whole communication thing.

This message is a reply to:
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