Mathematicians themselves set up standards of generality and elegance in their exposition which are a bar to understand.
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p.236 (rev. ed. 1948) cited in: G.C. Harcourt, C. Sardoni (1992) On Political Economists and Modern Political Economy. Vol 4. p.197Kenneth Boulding
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How do we convince people that in programming simplicity and clarity —in short: what mathematicians call "elegance"— are not a dispensable luxury, but a crucial matter that decides between success and failure?
Edsger W. Dijkstra
I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.
G. H. Hardy
...it is rare that mathematicians are intuitive, and that men of intuition are mathematicians, because mathematicians wish to treat matters of intuition mathematically, and make themselves ridiculous, wishing to begin with definitions and then with axioms, which is not the way to proceed in this kind of reasoning. Not that the mind does not do so, but it does it tacitly, naturally, and without technical rules; for the expression of it is beyond all men, and only a few can feel it. 1
Blaise Pascal
Conventions of generality and mathematical elegance may be just as much barriers to the attainment and diffusion of knowledge as may contentment with particularity and literary vagueness... It may well be that the slovenly and literary borderland between economics and sociology will be the most fruitful building ground during the years to come and that mathematical economics will remain too flawless in its perfection to be very fruitful.
Kenneth Boulding
Where questions of style and exposition are concerned I try to follow a simple maxim: if you can’t say it clearly you don’t understand it yourself.
John Searle
Boulding, Kenneth
Boulez, Pierre
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