![Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different perspective. [...] Because of their application to a broad range of topics, their strict grammar, and their strict interpretation, programming languages can provide new insights into mathematical notation. (Kenneth E. Iverson)](https://cdn.quotesdtb.com/img/quotes_images_webp/18/kenneth-e-iverson-application-153118.webp)
Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different perspective. [...] Because of their application to a broad range of topics, their strict grammar, and their strict interpretation, programming languages can provide new insights into mathematical notation.
Kenneth E. IversonRelated topics
application broad contradictory different grammar interpretation loose mathematics notation parsing perspective proliferation range uniformity programming rulesRelated quotes
Nonmathematical people sometimes ask me, "You know math, huh? Tell me something I've always wondered, What is infinity divided by infinity?” I can only reply, "The words you just uttered do not make sense. That was not a mathematical sentence. You spoke of ‘infinity' as if it were a number. It's not. You may as well ask, 'What is truth divided by beauty?' I have no clue. I only know how to divide numbers. ‘Infinity,' ‘truth,' ‘beauty'-those are not numbers.”.
John Derbyshire
Has knowledge of birth control, so carefully guarded and so secretly practiced by the women of the wealthy class - and so tenaciously withheld from the working women - brought them misery? Rather, has it not promoted greater happiness, greater freedom, greater prosperity and more harmony among them? The women who have this knowledge are the women who have been free to develop, free to enjoy in its best sense, and free to advance the interests of the community.
Margaret Sanger
An understandable hunger for potential clients tempts many [career counseling therapists] to overpromise, like creative writing teachers who, out of greed or sentimentality, sometimes imply that all of their students could one day produce worthwhile literature, rather than frankly acknowledging the troubling truth, anathema to a democratic society, that the great writer, like the contented worker, remains an erratic and anomalous event, immune to the methods of factory farming.
Alain de Botton
Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understanding attuned to the principle of mathematical induction, as does Poincaré, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs.
David Hilbert
If you have a faith, it is statistically overwhelmingly likely that it is the same faith as your parents and grandparents had. No doubt soaring cathedrals, stirring music, moving stories and parables, help a bit. But by far the most important variable determining your religion is the accident of birth. The convictions that you so passionately believe would have been a completely different, and largely contradictory, set of convictions, if only you had happened to be born in a different place. Epidemiology, not evidence.
Richard Dawkins
