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Home > Category Index for Science Quotations > Category Index C > Category: Catastrophe Theory

Catastrophe Theory Quotes (3 quotes)

An announcement of [Christopher] Zeeman’s lecture at Northwestern University in the spring of 1977 contains a quote describing catastrophe theory as the most important development in mathematics since the invention of calculus 300 years ago.
In book review of Catastrophe Theory: Collected Papers, 1972-1977, in Bulletin of the American Mathematical Society (Nov 1978), 84, No. 6, 1360. Reprinted in Stephen Smale, Roderick Wong(ed.), The Collected Papers of Stephen Smale (2000), Vol. 2, 814.
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Catastrophe Theory is a new mathematical method for describing the evolution of forms in nature. … It is particularly applicable where gradually changing forces produce sudden effects. We often call such effects catastrophes, because our intuition about the underlying continuity of the forces makes the very discontinuity of the effects so unexpected, and this has given rise to the name.
From Catastrophe Theory: Selected Papers, 1972-1977 (1977), 1. As quoted and cited in a Review by: Hector J. Sussmann, SIAM Review (Apr 1979), 21, No. 2, 269.
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Catastrophe Theory is—quite likely—the first coherent attempt (since Aristotelian logic) to give a theory on analogy. When narrow-minded scientists object to Catastrophe Theory that it gives no more than analogies, or metaphors, they do not realise that they are stating the proper aim of Catastrophe Theory, which is to classify all possible types of analogous situations.
From 'La Théorie des catastrophes État présent et perspective', as quoted in Erick Christopher Zeeman, (ed.), Catastrophe Theory: Selected Papers, 1972-1977 (1977), 637, as cited in Martin Krampe (ed.), Classics of Semiotics (1987), 214.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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