the countably infinite
"A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator the smaller the fraction."
- Leo Tolstoy
a real bohica…
http://en.wikipedia.org/wiki/BOHICA
Best part:
“It literally refers to an acceptance of forced sodomy.”
“A point of view which the author feels may eventually come to be accepted is that CH is obviously false. The main reason one accepts the axiom of infinity is probably that we feel it absurd to think that the process of adding only one set at a time can exhaust the entire universe. Similarly with the higher axioms of infinity. Now aleph-1 is the cardinality of the set of countable ordinals and this is merely a special and the simplest way of generating a higher cardinal. The set C [the continuum] is, in contrast, generated by a totally new and more powerful principle, namely the power set axiom. It is unreasonable to expect that any description of a larger cardinal which attempts to build up that cardinal from ideas deriving from the replacement axiom can ever reach C…This point of view regards C as an incredibly rich set given to us by one bold new axiom, which can never be approached by any piecemeal process of construction. Perhaps later generations will see the problem more clearly and express themselves more eloquently.”
- Paul Cohen
sticking to his guns.
Interviewer: “Terry Yarbrough of Birmingham, Alabama, writes: ‘Everyone knows you were greatly influenced by American Blues greats Muddy Waters, Johnnie Lee Hooker, are there any musicians or groups today that really excite you?’”
Van Morrison: “No. Absolutely none. No.”
Interviewer: “Nothing?”
Van Morrison: “Nothing.”