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Exercise Quotes

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Exercise Quotes

“Similarly for marking exercises, quantitative exercises, maybe not so much in mathematics, but certainly problem sets in physics, chemistry, and engineering and things like that where answers and methods are clear cut, absolutely. I would like to see that done online.”

Done Problem Answers Clear Cutting Exercise Mathematics Method Physics Online Chemistry Engineering

Author:David Gelernter

“What I have said may serve to recommend mathematics for acquiring a vigorous constitution of mind; for which purpose they are as useful as exercise is for procuring health and strength to the body.”

Mind May Said Body Purpose Exercise Constitution Mathematics Vigorous Health And Strength

Book:An Essay on the Usefulness of Mathematical Learning,: In a Letter from a Gentleman in the City to His Friend in Oxford..

Source: An Essay on the Usefulness of Mathematical Learning,: In a Letter from a Gentleman in the City to His Friend in Oxford..

“Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. The activity of the intuition consists in making spontaneous judgements which are not the result of conscious trains of reasoning. The exercise of ingenuity in mathematics consists in aiding the intuition through suitable arrangements of propositions, and perhaps geometrical figures or drawings.”

“The book Dynamic Programming by Richard Bellman is an important, pioneering work in which a group of problems is collected together at the end of some chapters under the heading "Exercises and Research Problems," with extremely trivial questions appearing in the midst of deep, unsolved problems. It is rumored that someone once asked Dr. Bellman how to tell the exercises apart from the research problems, and he replied: "If you can solve it, it is an exercise; otherwise it's a research problem."”

Ifs Important Book Ends Problem Together Groups Exercise Research Mathematics Solve Programming Midst Chapters Drs Headings Appearing Pioneering Unsolved Problems

Author:Donald Knuth

“As an exercise of the reasoning faculties, pure mathematics is an admirable exercise, because it consists of reasoning alone and does not encumber the student with any exercise of judgment.”

Doe Students Exercise Pure Judgment Mathematics Reasoning Faculty Admirable

Book:The Essays ... Revised ... by Thomas Markby ... Second Edition

Source: The Essays ... Revised ... by Thomas Markby ... Second Edition

“It's always been pretty easy for me to exercise my imagination. The other part of the brain, the one that does mathematics, is a nightmare for me. It doesn't work at all.”

Doe Easy Imagination Brain Exercise Mathematics Nightmare My Imagination

Author:Jean-Pierre Jeunet

“[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention.”

Imagination Effort Exercise Weapons Highest Mathematics Trials Invention Observation Comparison Faculty Principal Scope Boundless Recourse Verification

Author:James Joseph Sylvester

“Modern bodybuilding is ritual, religion, sport, art, and science, awash in Western chemistry and mathematics. Defying nature, it surpasses it.”

Art Sports Nature Modern Exercise Mathematics Western Motivational Sports Chemistry Ritual Bodybuilding Art And Science Physical Exercise Defying

Book:Sex, Art, and American Culture: Essays

Source: Sex, Art, and American Culture: Essays