16 November 2025

On Paradoxes (Unsourced)

"Failures of perspective in decision-making can be due to aspects of the social utility paradox, but more often result from simple mistakes caused by inadequate thought." (Herman Kahn) 

"How wonderful that we have met with a paradox. Now we have some hope of making progress." (Niels H D Bohr)

"It is a paradox in mathematics and physics that we have no good model for the teaching of models." (Hartley Rogers Jr)

"Scientific truth is always paradox, if judged by everyday experience, which catches only the delusive appearance of things." (Karl Marx) 

"There is no sharply drawn line between those contradictions which occur in the daily work of every mathematician, beginner or master of his craft, as a result of more or less easily detected mistakes, and the major paradoxes which provide food for logical thought for decades and sometimes centuries." (Nicholas Bourbaki) 

"We have a paradox in the method of science. The research man may often think and work like an artist, but he has to talk like a bookkeeper in terms of facts, fi gures and logical sequence of thought." (H D Smyth) 

"We no longer pretend to be able to grasp reality in a physical theory; we see in it rather an analytic or geometric mold useful and fertile for a tentative representation of phenomena, no longer believing that the agreement of a theory with experience demonstrates that the theory expresses the reality of things. Such statements have sometimes seemed discouraging; we ought rather to marvel that, with representations of things more or less distant and discolored, the human spirit has been able to fi nd its way through the chaos of so many phenomena and to derive from scientific knowledge the ideas of beauty and harmony. It is no paradox to say that science puts order, at least tentative order, into nature." (Charles E Picard)

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On Paradoxes (Unsourced)

"Failures of perspective in decision-making can be due to aspects of the social utility paradox, but more often result from simple mist...