“In addition, the teaching of theories from axioms, or some close imitation of them such as the basic laws of an algebra, is usually an educational disaster.”

Source: Guide for the Perplexed (c. 1190), Part III, Ch.32
Context: The chief object of the Law, as has been shown by us, is the teaching of truths; to which the truth of the creatio ex nihilo belongs. It is known that the object of the law of Sabbath is to confirm and to establish this principle, as we have shown in this treatise (Part II. chap. xxxi.) In addition to the teaching of truths the Law aims at the removal of injustice from mankind. We have thus proved that the first laws do not refer to burnt-offering and sacrifice, which are of secondary importance.

Source: The Rainbow of Mathematics: A History of the Mathematical Sciences (2000), p. 740.

Context: The usual no-go theorems telling us that hidden variables are irreconcilable with locality, appear to start with fairly conventional pictures of particle systems, detectors, space and time. Usually, it is taken for granted that events at one place in the universe can be described independently from what happens elsewhere. Perhaps one has to search for descriptions where the situation is more complex. Maybe, it needs not be half as complex as superstring theory itself. The conventional Copenhagen interpretation of quantum mechanics suffices to answer all practical questions concerning conventional experiments with quantum mechanics, and the outcome of experiments such as that of Aspect et al can be precisely predicted by conventional quantum mechanics. This is used by some to state that no additional interpretation prescriptions for quantum mechanics are necessary. Yet we insist that the axioms for any &quot;complete&quot; quantum theory for the entire cosmos would present us with as yet unresolved paradoxes.<br><br> Obstacles on the Way toward the Quantization of Space, Time and Matter — and possible resolutions — http://www.staff.science.uu.nl/~hooft101/gthpub/foundations.pdf

Address to the University of Chicago graduating class of 1929

Language Education in a Knowledge Context (1980)

Nobel Peace Prize Lecture (December 10, 2014)

Source: The Shadow of the Wind

Part 1, sect. 48.
Theory of Numbers, 1892