Re: numbers?

2010-07-29 Thread Brian Tenneson
Numbers existed before people on this rock began to understand them. If not number of atoms in the universe, then the number of cells in organisms one day prior to 10,000 years ago. or anything really, that had the potential to be counted, one day prior to 10,000 years ago. If all numbers are

Re: numbers?

2010-07-29 Thread Brent Meeker
On 7/29/2010 3:28 PM, Mark Buda wrote: Quantum mechanics suggests maybe not. If there were no conscious observers to collapse the wave function of the universe after the big bang, then what, pray tell, would constitute an atom that might be counted? This assumes that conscious observers are

Re: numbers?

2010-07-29 Thread Mark Buda
Agreed, but I would point out that the answer to the question of the existence of numbers is the truth value of a logical proposition about the ideas we call number and existence. And if you bring a definition of number in terms of other ideas such as successor, then you are simply restating

Re: numbers?

2010-07-29 Thread Brent Meeker
On 7/29/2010 4:03 PM, Mark Buda wrote: Agreed, but I would point out that the answer to the question of the existence of numbers is the truth value of a logical proposition about the ideas we call number and existence. What logical proposition would that be? A proposition like Every number

Re: numbers?

2010-07-29 Thread Mark Buda
Brent Meeker meeke...@dslextreme.com writes: On 7/29/2010 4:03 PM, Mark Buda wrote: Agreed, but I would point out that the answer to the question of the existence of numbers is the truth value of a logical proposition about the ideas we call number and existence. What logical

Re: numbers?

2010-07-29 Thread Jason Resch
On Thu, Jul 29, 2010 at 10:55 PM, Mark Buda her...@acm.org wrote: Numbers exist not in any physical sense but in the same sense that any idea exists - they exist in the sense that minds exist that believe logical propositions about them. They exist because minds believe logical propositions