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Study Quotes

“Chaos has come to be associated with the study of anything complex, but, in fact, the mathematical techniques are directly applicable only to simple systems that appear to be complex.”

Facts Simple Study Complexes Chaos Technique Mathematical

Author:Neil Gershenfeld

“And believe me, if I were again beginning my studies, I should follow the advice of Plato and start with the mathematical sciences, which proceed very cautiously and admit nothing as established until it has been rigorously demonstrated.”

Ifs Education Study Advice Mathematics Math Sensual Mathematical Plato Studying Mathematics Spiritual Advice

Author:Galileo Galilei

“Mathematical studies may serve for a pleasant entertainment for those hours which young men are apt to throw away upon their vices.”

Men May Young Hours Study Vices Entertainment Mathematical Young Man Pleasant

Book:The Life and Works of John Arbuthnot, M.D.: Fellow of the Royal College of Physicians

Source: The Life and Works of John Arbuthnot, M.D.: Fellow of the Royal College of Physicians

“What seems certain is that Pythagoras developed the idea of mathematical logic. He realized that numbers exist independently of the tangible world and therefore their study was untainted by inaccuracies of perception. This meant he could discover truths which were independent of opinion of prejudice and which were more absolute than any previous knowledge.”

World Ideas Seems Certain Numbers Opinion Study Perception Logic Prejudice Absolutes Independent Mathematical Tangible Mathematical Logic

Author:Simon Singh

“Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does.”

Doe Problem Numbers Study Proof Contemporary Manage Mathematical Analysis Infinity Finite Reducing Euclid Finite Number Mathematical Analysis

Author:Lucio Russo

“I have presented principles of philosophy that are not, however, philosophical but strictly mathematical-that is, those on which the study of philosophy can be based. These principles are the laws and conditions of motions and of forces, which especially relate to philosophy.”

Philosophy Law Force Principles Study Conditions Philosophical Mathematical Relate

Book:The Principia: Mathematical Principles of Natural Philosophy

Source: The Principia: Mathematical Principles of Natural Philosophy

“It were much to be desired, that when mathematical processes pass through the human brain instead of through the medium of inanimate mechanism, it were equally a necessity of things that the reasonings connected with operations should hold the same just place as a clear and well-defined branch of the subject of analysis, a fundamental but yet independent ingredient in the science, which they must do in studying the engine.”

“The history of art cannot be properly understood without some reference to the history of science. In both we are studying the symbols by which man affirms his mental scheme, and these symbols, be they pictorial or mathematical, a fable or formula, will reflect the same changes.”

Men Art Study Understood Symbols Mathematical Formulas Schemes Fables History Of Science Pictorial

Author:Kenneth Clark

“In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all mathematical analysis belong to operations, as distinguished from the objects operated upon and from the results of the operations performed upon those objects, is very strikingly defined and separated.”

Action Results Study Objects Independent Defined Mathematical Operations Analysis Consideration Peculiar Engines Distinguished Mathematical Analysis

Author:Ada Lovelace