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Quote by Alfred W. Crosby

“What could be more general than 2, which can represent two galaxies or two pickles, or one galaxy plus one pickle (the mind doth boggle), or just 2 gently bobbing - where? It, like God, is an "I am" and many have thought that it must be a precipitate of ultimate reality.”

Quote by Alfred W. Crosby

Author

Alfred W. Crosby
Alfred W. Crosby

Alfred W. Crosby is a renowned American historian and author, known for his research on environmental history and world history. His works delve into the interactions between human activities and the natural environment, particularly in the areas of the agricultural revolution and global environmental changes. more

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“The man who has learned that three plus one are four doesn't have to go through a proof of that assertion with coins, or dice, or chess pieces, or pencils. He knows it, and that's that. He cannot conceive a different sum. There are mathematicians who say that three plus one is a tautology for four, a different way of saying "four" ... If three plus one can be two, or fourteen, then reason is madness.”

“And so matching by itself is incapable of creating an art of reckoning. Without our ability to arrange things in ordered succession little progress could have been made. Correspondence and succession, the two principles that permeate all mathematics - nay, all realms of exact thought - are woven into the very fabric of our number system.”

“The page of my notebook was filled with many messy integrals, but all of a sudden I saw emerge a formula for counting. I had begun to calculate a quantity on the assumption that the result was a real number, but found instead that, in certain units, all the possible answers would be integers. This meant that areas and volumes cannot take any value, but come in multiples of fixed units.”