Discontinuity Quotes (4 quotes)
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.
How strange it would be if the final theory were to be discovered in our lifetimes! The discovery of the final laws of nature will mark a discontinuity in human intellectual history, the sharpest that has occurred since the beginning of modern science in the seventeenth century. Can we now imagine what that would be like?
In Dreams of a Final Theory (1992), 235.
Physical changes take place continuously, while chemical changes take place discontinuously. Physics deals chiefly with continuous varying quantities, while chemistry deals chiefly with whole numbers.
Treatise on Thermodynamics (1897), trans. Alexander Ogg (1903), 22, footnote.
You can't really discover the most interesting conflicts and problems in a subject until you've tried to write about them. At that point, one discovers discontinuities in the data, perhaps, or in one's own thinking; then the act of writing forces you to work harder to resolve these contradictions.
From Robert S. Grumet, 'An Interview with Anthony F. C. Wallace', Ethnohistory (Winter 1998), 45, No. 1, 109.