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Knowledge Quotes

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Knowledge Quotes

“The psychologists and the metaphysicians wrangle endlessly over the nature of the thinking process in man, but no matter how violently they differ otherwise they all agree that it has little to do with logic and is not much conditioned by overt facts.”

Thinking Men Littles Matter Reason Facts Truth Process Knowledge Learning Logic Agree Psychologist Free Thought Thinking Process

Book:Minority Report

Source: Minority Report

“We assume a common sense as the necessary condition of the universal communicability of our knowledge, which is presupposed in every logic and every principle of knowledge that is not one of skepticism.”

Common Principles Knowledge Conditions Logic Universal Assuming Common Sense Skepticism

Author:Immanuel Kant

“Logic is the anatomy of thought.”

Education Knowledge Logic Mathematics Math Anatomy

Author:John Locke

“It is they [men of science] who hold the secret of the mysterious property of the mind by which error ministers to truth, and truth slowly but irrevocably prevails. Theirs is the logic of discovery, the demonstration of the advance of knowledge and the development of ideas, which as the earthly wants and passions of men remain almost unchanged, are the charter of progress, and the vital spark in history.”

Men Want Mind Ideas Science Passion Secret Knowledge Progress Development Discovery Logic Property Errors Mysterious Ministers Sparks Demonstration Charter

Book:Lectures on Modern History

Source: Lectures on Modern History

“Everyone is entitled to his own opinion, but not his own facts.”

Facts Truth Freedom Education Opinion Knowledge Atheism Evolution Logic Libertarian Certainty Uncertainty Reasoning Entitled Ontology

Book:Daniel Patrick Moynihan: A Portrait in Letters of an American Visionary

Source: Daniel Patrick Moynihan: A Portrait in Letters of an American Visionary

“In formal logic, a contradiction is the signal of defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory.”

Firsts Real Science Winning Steps Knowledge Progress Evolution Victory Logic Mark Defeat Contradiction First Steps Formal Signals Real Knowledge

Book:Science and the Modern World

Source: Science and the Modern World

“Droll thing life is -- that mysterious arrangement of merciless logic for a futile purpose. The most you can hope from it is some knowledge of yourself -- that comes too late -- a crop of inextinguishable regrets.”

Life Life Is Purpose Knowledge Regret Late Logic Mysterious Too Late Arrangements Crops

Book:Heart of Darkness and Other Stories

Source: Heart of Darkness and Other Stories

“It makes no sense to seek a single best way to represent knowledge-because each particular form of expression also brings its particular limitations. For example, logic-based systems are very precise, but they make it hard to do reasoning with analogies. Similarly, statistical systems are useful for making predictions, but do not serve well to represent the reasons why those predictions are sometimes correct.”

Way Wells Sometimes Hard Reason Form Knowledge Example Particular Expression Logic Best Way Limitation Reason Why Reasoning Precise Predictions Analogies

Author:Marvin Minsky

“There are many questions which fools can ask that wise men cannot answer.”

Men Science Asks Answers Knowledge Wise Fool Logic Mathematics Math Mathematical

Author:George Polya

“If I go out into nature, into the unknown, to the fringes of knowledge, everything seems mixed up and contradictory, illogical, and incoherent. This is what research does; it smooths out contradictions and makes things simple, logical, and coherent.”

Ifs Knows Doe Seems Science Simple Knowledge Research Logic Simplicity Contradiction Logical Smooth Contradictory Fringe Illogical

Author:Albert Szent-Gyorgyi

“In my own view, some advice about what should be known, about what technical education should be acquired, about the intense motivation needed to succeed, and about the carelessness and inclination toward bias that must be avoided is far more useful than all the rules and warnings of theoretical logic.”

“Both the physicist and the mystic want to communicate their knowledge, and when they do so with words their statements are paradoxical and full of logical contradictions.”

Want Science Knowledge Communication Logic Communicate Statements Contradiction Logical Physicist Mystic Paradoxical

Author:Fritjof Capra

“Obvious is the most dangerous word in mathematics.”

Science Knowledge Dangerous Logic Mathematics Obvious Math Sensual Mathematical Arithmetic Math And Science Mathematics And Science Mathematical Logic Funny Mathematics Learning Math Math Teacher Maths Funny

Book:The queen of the sciences

Source: The queen of the sciences

“Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it.”

Believe Said Lying I Believe Pleasure Knowledge Discovery Logic Mathematics Math Mathematician

Book:ANNA KARENINA

Source: ANNA KARENINA

“It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.”

Facts Problem Knowledge Teacher Teaching Students Particular Duty Logic Mathematics Math Math Education Math Teacher Math Problems

Book:Selecta: expository writing

Source: Selecta: expository writing

“How dreadful knowledge of the truth can be when there's no help in truth!”

Helping Knowledge Logic Certainty Uncertainty Reasoning Ontology Oedipus

Book:The Oedipus Cycle: An English Version

Source: The Oedipus Cycle: An English Version

“But in the new (math) approach, the important thing is to understand what you're doing, rather than to get the right answer.”

Important Answers Education Knowledge Approach Logic Important Things Math Right Answers Math Education Funny Mathematics Learning Math Maths Funny

Author:Tom Lehrer

“If there is a problem you can't solve, then there is an easier problem you can't solve: find it.”

Ifs Problem Science Education Knowledge Easier Logic Mathematics Solve Math Math Problems Mathematical Problems

Author:George Polya

“A GREAT discovery solves a great problem but there is a grain of discovery in any problem.”

Problem Education Knowledge Discovery Logic Mathematics Solve Math Grain Problem Solving Math Education Solved Problems Math Problems Great Math

Book:How to solve it: a new aspect of mathematical method

Source: How to solve it: a new aspect of mathematical method

“Mathematics consists in proving the most obvious thing in the least obvious way.”

Source: Mathematical discovery: on understanding, learning, and teaching problem solving

“Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency.”

Humans Has Beens Powerful Knowledge Logic Mathematics Instruments Math Mathematical Agency Mathematician Math Education

Book:RULES FOR THE DIRECTION OF THE MIND DISCOURSE ON THE METHOD MEDITATIONS ON FIRST PHILOSOPHY OBJECTIONS AGAINST THE MEDITATIONS AND REPLIES THE GEOMETRY

Source: RULES FOR THE DIRECTION OF THE MIND DISCOURSE ON THE METHOD MEDITATIONS ON FIRST PHILOSOPHY OBJECTIONS AGAINST THE MEDITATIONS AND REPLIES THE GEOMETRY

“Logic is invincible, because in order to combat logic it is necessary to use logic.”

Use Order Knowledge Argument Logic Math Mathematical Combat Invincible Math Education Mathematical Logic

Author:Pierre Boutroux

“Only professional mathematicians learn anything from proofs. Other people learn from explanations.”

People Knowledge Logic Math Proof Explanation Mathematician

Author:Ralph P. Boas, Jr.

“Mathematics - this may surprise or shock some - is never deductive in creation.”

May Education Knowledge Creation Logic Mathematics Surprise Math Shock

Author:Paul Halmos

“Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.”

Education Knowledge Logic Mathematics Insight Intuition Math Mathematician Conquest Sanctions

Book:Mathematics in Western Culture

Source: Mathematics in Western Culture

“Mathematics is a body of knowledge, but it contains no truths.”

Body Knowledge Logic Mathematics Math

Book:Mathematics in Western Culture

Source: Mathematics in Western Culture

“Proof is an idol before which the mathematician tortures himself.”

Education Knowledge Logic Mathematics Math Proof Torture Idols Mathematician

Author:Arthur Eddington

“The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.”

Way Education Knowledge Logic Mathematics Method Foundation Math Texas Do It Yourself Math Education Socratic Learning Math

Book:A Hilbert Space Problem Book

Source: A Hilbert Space Problem Book

“What humans do with the language of mathematics is to describe patterns.”

Humans Language Knowledge Logic Mathematics Patterns Math Regularity Math Education

Author:Lynn Steen

“Calculators can only calculate - they cannot do mathematics.”

Education Knowledge Logic Mathematics Math Computation Calculators

Book:Elementary School Mathematics: Teaching Developmentally

Source: Elementary School Mathematics: Teaching Developmentally

“Logic doesn't apply to the real world.”

World Mind Real Knowledge Logic Mathematics Math Mathematical Real World

Author:Marvin Minsky

“We are all concerned about the future of American education. But as I tell my students, you do not enter the future - you create the future. The future is created through hard work.”

Hard Education Knowledge Students Hard Work Concerned Logic Mathematics Math American Education

Author:Jaime Escalante

“"Ganas is all you need."”

Needs Knowledge Logic Math

Author:Jaime Escalante

“I do not believe in the gifted. If [the students] have ganas, I can make them do it.”

Ifs Believe I Can Knowledge Students Logic Math Gifted

Author:Jaime Escalante