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Topic: [HM] Galileo
Replies: 8   Last Post: Aug 23, 2004 6:25 AM

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Posts: 21
Registered: 12/3/04
Re: [HM] Galileo
Posted: Aug 4, 2004 10:07 AM
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Dear Reuben,
Although Galileo discusses the possibility of this one-to-one
correspondence (he does not uses these terms) between the natural and the
square (not even) numbers, he does it to deny the possibility of comparing
between infinite sets (not the term). This is precisely the opposite to
Cantor, but Galileo is still following an Aristotelian tradition in this
issue. See Galileo's Two New Sciences (Drake's translation. Madison:
University of Wisconsin Press. 1974. Pages 40-41).
Warmest wishes,

On Tue, 3 Aug 2004, Reuben Hersh wrote:

> I have seen statements that Galileo noticed the one-to-one correspondence
> between the natural numbers and the even numbers (or was it the perfect
> squares?)
> I would be grateful for an actual quote or reference to Galileo.
> Thank you.
> Reuben Hersh

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