Naming
God, Naming the Infinite:
Mathematics and Religious Heresy
Loren Graham
Jean-Michel Kantor
Proposal
[1] Explanation of meaning of the term ÒsetÓ: A ÒsetÓ is a collection of entities that are identified by a common characteristic or rule of formation. As Georg Cantor said, ÒA set is a Many that allows itself to be thought of as One.Ó In other words, a set is a collection formed following a precise rule that allows one to decide whether a given entity belongs in the collection or not. An example would be the collection of all giraffes living in South Carolina. We know that according to the rule by which this set was created that giraffes in Massachusetts do not belong in the set, nor do donkeys in South Carolina. The set of all odd whole numbers less than 10 would contain five entities (1, 3, 5, 7, 9).
[2] Salinger has Franny observing to her incredulous friend Lane, ÒIf
you keep saying that prayer [the Jesus Prayer] over and over again Ð you
only have to just do it with your lips at first
Ð then eventually what happens, the prayer becomes self-active. Something happens after a while. I donÕt
know what, but something happens, and the words get synchronized with the
personÕs heartbeats, and then youÕre actually praying without ceasing. Which has a really tremendous, mystical
effect on your whole outlook. I
mean thatÕs the whole point of it, more or
less. I mean you do it to purify
your whole outlook and get an absolutely new conception of what everythingÕs
about.Ó J. D. Salinger, Franny
and Zooey, (Little Brown and Company: Boston, 1961), pp. 36-37.