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Topic: mathematical infinite as a matter of method
Replies: 25   Last Post: May 4, 2013 11:24 PM

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fom

Posts: 1,969
Registered: 12/4/12
Re: mathematical infinite as a matter of method
Posted: May 3, 2013 6:15 AM
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On 5/3/2013 2:43 AM, Graham Cooper wrote:
>
> Its not possible to test Equality by Extension in the inf. case.
>


That is correct Herc.

On the other hand, it is not possible to interpret
the universal quantifier as a universal statement if
it is interpreted as a course-of-values.

Aristotle wrote this. It is ignored by a certain
contingent of the mathematical community who merely
argues on the basis of beliefs concerning infinity.

You know well that any computer system balances
choices that affect performance. Relational databases
run faster on logic chips optimized for integral
arithmetic as opposed to floating point. The analogy
applies here.

Brouwer had been clear concerning how the effectiveness
of working with finite sets differed from working
with infinite sets. But, the reason infinity enters
mathematics is because it is how the identity relation
is extended to convey the geometric completeness of a
line when used to represent the real number system.

Infinity does not arise because of testability. It
arises because of the nature of the identity relation.



Date Subject Author
4/21/13
Read mathematical infinite as a matter of method
fom
4/21/13
Read Re: mathematical infinite as a matter of method
Virgil
5/2/13
Read Re: mathematical infinite as a matter of method
Hercules ofZeus
5/2/13
Read Re: mathematical infinite as a matter of method
fom
5/2/13
Read Re: mathematical infinite as a matter of method
Virgil
5/3/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/3/13
Read Re: mathematical infinite as a matter of method
fom
5/3/13
Read not testability; arises due identity relation(s)
Brian Q. Hutchings
5/3/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/3/13
Read Re: mathematical infinite as a matter of method
fom
5/3/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/3/13
Read Re: mathematical infinite as a matter of method
fom
5/3/13
Read Re: mathematical infinite as a matter of method
fom
5/4/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/3/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/3/13
Read Re: mathematical infinite as a matter of method
fom
5/3/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/4/13
Read Re: mathematical infinite as a matter of method
fom
5/4/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/4/13
Read Re: mathematical infinite as a matter of method
fom
5/4/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/4/13
Read Re: mathematical infinite as a matter of method
fom
5/4/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/4/13
Read Re: mathematical infinite as a matter of method
fom
5/4/13
Read Re: mathematical infinite as a matter of method
Graham Cooper
5/3/13
Read Re: mathematical infinite as a matter of method
Graham Cooper

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