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"A proof tells us where to concentrate our doubts."
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"Plurality should not be posited without necessity."
"Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s."
"It is always easy to be logical. It is almost impossible to be logical to the bitter end."
"When speculation has done its worst two and two still make four."
"2 + 2 equal 4... so far I don't think it will change to 5 or 6, it's near to fact, but the probability of the ability... equals not a fact!"
"Logic is the art of non-contradictory identification. A contradiction cannot exist. No concept man forms is valid unless he integrates it without contradiction into the total sum of his knowledge. To arrive at a contradiction is to confess an error in one's thinking, to maintain a contradiction is to abdicate one's mind and to evict oneself from the realm of reality."
"A narrow hallway is all that separates rational from irrational, creativity from insanity, and intelligence from stupidity."
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