Free Republic
Browse · Search
News/Activism
Topics · Post Article

To: tortoise; longshadow; Godel
Numbers definitely do exist in mathematics independent of a physical existence.

Well now ... I'm no expert here, and you do seem quite certain of what you're saying. Perhaps what I'm about to say is wrong; it's certainly simplistic. But to me, if there's no universe there are no numbers. I think of numbers as nothing but abstractions. They are imposed upon us by the nature of the universe, but that imperative, if gone, would obviate the numbers too. Or so it seems to me. (I'm pinging some folks who know more than I do about this. I'm always willing to learn.)

159 posted on 10/27/2002 11:16:32 AM PST by PatrickHenry
[ Post Reply | Private Reply | To 156 | View Replies ]


To: PatrickHenry
But to me, if there's no universe there are no numbers. I think of numbers as nothing but abstractions. They are imposed upon us by the nature of the universe, but that imperative, if gone, would obviate the numbers too.

Numbers aren't exactly my field of expertise either. While one could posit a universe where countability wasn't important for any practical purposes, it seems fairly obvious to me that meaningful observation requires a space that has practical countability. Cognition (in the abstract, not just human) can't develop in a space without all sorts of countable properties.

161 posted on 10/27/2002 11:50:17 AM PST by tortoise
[ Post Reply | Private Reply | To 159 | View Replies ]

To: PatrickHenry
I think of numbers as nothing but abstractions.

The person you are replying to qualifies their statement by saying that in mathematics numbers exist independently of any physical existence. Mathematics is a human contrivance, so the statement is correct in that framework. The ultimate question is philosophical -- do abstractions exist independent of physical existence? Or to phrase it another way -- is there really a distinction between the physical and non-physical?

208 posted on 10/28/2002 2:32:08 AM PST by Moonman62
[ Post Reply | Private Reply | To 159 | View Replies ]

Free Republic
Browse · Search
News/Activism
Topics · Post Article


FreeRepublic, LLC, PO BOX 9771, FRESNO, CA 93794
FreeRepublic.com is powered by software copyright 2000-2008 John Robinson