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Article 2506 of comp.ai.philosophy:
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>From: seebs@grendel1.acc.stolaf.edu (The Laughing Prophet)
Newsgroups: sci.philosophy.tech,sci.logic,comp.ai.philosophy,sci.math
Subject: Re: Grasping concepts... is it polite?
Message-ID: <1992Jan6.130008.16471@news.stolaf.edu>
Date: 6 Jan 92 13:00:08 GMT
Article-I.D.: news.1992Jan6.130008.16471
References: <1991Dec30.172852.3305@csc.canterbury.ac.nz> <1992Jan2.131048.18412@news.stolaf.edu> <1992Jan6.092440.25451@etl.go.jp>
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In article <1992Jan6.092440.25451@etl.go.jp> andreas@etl.go.jp (Andreas Knobel) writes:
>Courage, mes braves (aimed at the readers of *.tech and ai.*), why stop
>at a lousy finite number like 10^10^10? I can imagine aleph_0, it starts
>here with 0, 1 is next and then it sort of peters out in the distance.

Yes, but can you imagine it in the same way you can imagine 10? It is easy
to think of 10 marbles; it is nearly impossible (or completely) to imagine
aleph_0 marbles.

>I would contend that I can even see aleph_0^aleph_0,

If memory serves, that's the same thing. Certainly, aleph_0^anythingfinite
is the same, and aleph_0^aleph_0 may well be - I don't recall it having
been defined otherwise.

Anyway, yes, you can have a good intellectual understanding of it - but the
gut understanding seems somewhat more elusive, at least for me.

>Andreas

-s

seebs@acc.stolaf.edu  "Forgive them, Father, for they do not get the joke."
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