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. ----------------------------------------------------------------------- Mathematical Physical Absolute Infinities Infinities Infinite ----------------------------------------------------------------------- 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 ------------------------------------------------------------------------- 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.