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Monday, April 28, 07:35:33amLogin ] [ Main index ] [ Post a new message ] [ Search | Check update time | Archives: 1234[5]678910 ]
Subject: Tristam Understood


Author:
Duane
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Date Posted: 09/ 9/04 1:48am
In reply to: Duane 's message, "Finally.... Tristam meets his doom.... (bleah)" on 08/31/04 5:56am

Wade:

OK. I finally understand. Here's the nature of the paradox:

These are statements provable in Cantor set theory -

1) Two sets have the same cardinality (i.e., the same number of elements) if there exists a total, one-to-one and onto function mapping one set to the other.

2) A set is countably infinite if it has the same cardinality of the natural numbers.

Now, according to the Tristam "paradox," the following situation exists:

The set of days is countably infinite

The set of years is countably infinite

Therefore, the set of days is the same size (that size being "countably infinite") as the set of years.

These things are true. And they are weird. But the simple fact remains that they don't "prove" anything.

The declaration of "absurdity" does not equal disproof. So I fail to see how the Tristam Shandy "paradox" says anything substantiative.

Duane

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Replies:
Subject Author Date
I thinkDamoclese09/10/04 10:22am
Well days and years are nothing but ...Don09/11/04 2:14pm
Did you?Wade A. Tisthammer09/12/04 6:19pm


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