kp@smu.UUCP (05/04/84)
#N:smu:16200006:000:1414
smu!kp Apr 27 23:34:00 1984
Rudy Rucker in his book " Infinity and the mind: the science and
philosophy of the infinite" has made the following remark (page 335):
" It is at least abstractly possible to hold any of eight possible
views regarding the EXISTENCE or NONEXISTENCE (* emphasis is mine *) of the
three sorts of infinity ."
Rudy indicates representatives in each group.
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Mathematical Physical Absolute
Infinities Infinities Infinite
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Abraham Robinson No No No
Plato No Yes No
Thomas Aquinas No No Yes
L.E.J.Brouwer No Yes Yes
David Hilbert Yes No No
Bertrand Russell Yes Yes No
Kurt Godel Yes No Yes
Georg Cantor Yes Yes Yes
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It is interesting to find out to which belief-system you folks
on the NET belong and WHY?
By the by, I highly recommend Rudy's book for anyone interested
in fruitful intellectual adventure.