The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Matheology § 300
Replies: 17   Last Post: Jul 9, 2013 8:54 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 18,076
Registered: 1/29/05
Re: Matheology § 300
Posted: Jul 9, 2013 4:47 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Tuesday, 9 July 2013 01:27:09 UTC+2, fom wrote:

>> Unless there is some error in that description of the problem, I feel safe in concluding that at noon, no numbers remain in the vase.

> There are several interpretations.

Why consider such a comparatively involved case (although it is by far more overwhelming than my case). But my case is so easy to understand that even a completely perverted matheologian can grasp at least the first dip.

Insert one by one every natural number into the urn (in always half time like the room maid of Hilberts hotel cleans all rooms between 11 o'clock and noon). And take in the same way every natural number out of the urn, but NEVER take a number out, before the next one has been inserted. Then by simplest logic you will never have taken out all natural numbers.

Now consider Cantor's case: All natural numbers can be taken out. That is impossible, because even without my ban every natural number taken out has a larger brother remaining in the urn.

Therefore logic does not tolerate matheology. A "study of logic and set theory" is a contradictio in adjecto.

Regards, WM

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.