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Logic Quotes

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Logic Quotes

“It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.”

Wells Whole Problem Known Study Modern Logic Function Mathematics Defined Certainty Uncertainty Reasoning Well Known Equations Transcendental Ontology Differential Equations

Book:The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill

Source: The Evanston Colloquium: Lectures on Mathematics Delivered from Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill

“Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.”

“most scientific problems are far better understood by studying their history than their logic.”

Problem Study Society Understood Logic

Book:The Growth of Biological Thought: Diversity, Evolution, and Inheritance

Source: The Growth of Biological Thought: Diversity, Evolution, and Inheritance

“"There is one basis of science," says Descartes, "one test and rule of truth, namely, that whatever is clearly and distinctly conceived is true." A profound psychological mistake. It is true only of formal logic, wherein the mind never quits the sphere of its first assumptions to pass out into the sphere of real existences; no sooner does the mind pass from the internal order to the external order, than the necessity of verifying the strict correspondence between the two becomes absolute. The Ideal Test must be supplemented by the Real Test, to suit the new conditions of the problem.”

“The deep paradox uncovered by AI research: the only way to deal efficiently with very complex problems is to move away from pure logic.... Most of the time, reaching the right decision requires little reasoning.... Expert systems are, thus, not about reasoning: they are about knowing.... Reasoning takes time, so we try to do it as seldom as possible. Instead we store the results of our reasoning for later reference.”

“My favourite subjects at school were algebra and logic: making a big problem into something small.”

Problem Bigs School Subjects Logic Favourite Big Problems Algebra

Author:Mario Testino

“Certain issues in philosophy of science (having to do with observation and the definition of a theory's empirical import) had beenmisconstrued as issues in philosophy of logic and of language. With respect to modality, I hold the exact opposite: important philosophical problems concerning language have been misconstrued as relating to the content of science and the nature of the world. This is not at all new, but is the traditional nominalist line.”

World Important Philosophy Problem Science Language Nature Logic Philosophical Observation Philosophy Of Science

Author:Bas van Fraassen

“To the wise, life is a problem; to the fool, a solution.”

Problem Life Is Wise Fool Solutions Logic Philosophical Math Reasoning Wise Life

Author:Marcus Aurelius

“People knew there were two ways of coming at truth. One was science, or what the Greeks called Logos, reason, logic. And that was essential that the discourse of science or logic related directed to the external world. The other was mythos, what the Greeks called myth, which didn't mean a fantasy story, but it was a narrative associated with ritual and ethical practice but it helped us to address problems for which there were no easy answers, like mortality, cruelty, the sorrow that overtakes us all that's part of the human condition. And these two were not in opposition, we needed both.”

“A scientist works largely by intuition. Given enough experience, a scientist examining a problem can leap to an intuition as to what the solution 'should look like.' ... Science is ultimately based on insight, not logic.”

Should Looks Enough Problem Given Solutions Logic Scientist Insight Intuition Leap Examining

Book:Brother Astronomer: Adventures of a Vatican Scientist: Adventures of a Vatican Scientist

Source: Brother Astronomer: Adventures of a Vatican Scientist: Adventures of a Vatican Scientist

“Chess helps you to concentrate, improve your logic. It teaches you to play by the rules and take responsibility for your actions, how to problem solve in an uncertain environment.”

Play Helping Problem Action Responsibility Teach Environment Logic Solve Chess Uncertain Taking Responsibility Playing Chess Take Responsibility For Your Actions

Author:Garry Kasparov

“My father was very political. But he told me, "Be very careful when you get into politics, because there's no black and white. There's an in-between in everything. So look at that side, don't take one point, because then you are negating half of the other people. Try to find the logic on a problem, something that you believe, and take the position that you believe, but be very careful about it." So I was very well trained in that aspect.”

People Trying Believe Wells Looks Problem Political Father Sides Black White Half Position Aspect Logic Careful Black And White

Author:Sergio Aragones

“I think that's one of the problems with downloading mps these days. You never really get a chance to attune to a different logic, a different musical logic. If you hear a song and don't like it, you'll just delete it off your hard drive.”

Thinking Different Problem Song Chance Logic Musical

Author:Alasdair MacLean

“When you try to translate any kind of real-life problem into a neat logical form, you're almost always simplifying it. We need a kind of blend - we need to use not just tools of logic, which are important and valuable - I'm not denying that, but also tools of judgement, and of inductive and abductive reasoning which can also inform.”

Trying Kind Important Problem Logic Valuable Judgement Logical Translate Neat

Author:Julian Baggini

“I think I'm most comfortable when I function in a parallel space that's not separate from political reality, but somehow comments on it from a different portal. The crisis in the Middle East has been ongoing and repetitive and I feel solutions on the ground have reached an impasse. It is somehow necessary to change the way we approach commentary on the subject. I do think that erecting a meta-space that functions according to its own autonomous abstractions and logic could be more effective in finding ways of dealing with the problem at hand, than using our standard tools of analysis.”

Thinking Different Problem Reality Political Solutions Logic Crisis Comment Portal Repetitive

Author:Larissa Sansour

“I live in Realville, and my problem is that I'm governed by logic. And some of the claims that are made by people on the left just don't hold up.”

People Made Problem Left Logic Claims

Author:Rush Limbaugh

“Logic obviously is important. You need to be able to figure things out, to go to the end of a particular problem. But intuition is very important because it references things that logic alone cannot.”

Needs Important Ends Problem Able Figures Particular Logic Intuition

Author:Daniel Tammet

“The problem is that it has become politically awkward to draw attention to absolutes of bad and good. In place of manners, we now have doctrines of political correctness, against which one offends at one's peril: by means of a considerable circular logic, such offences mark you as reactionary and therefore a bad person. Therefore if you say people are bad, you are bad.”

People Ifs Mean Persons Problem Political Attention Draws Logic Mark Absolutes Doctrine Manners Awkward Peril Political Correctness Correctness Reactionaries Offence

Author:Lynne Truss

“Anything outside yourself, this you can see and apply your logic to it. But it's a human trait that when we encounter personal problems, these things most deeply personal are the most difficult to bring out for our logic to scan. We tend to flounder around, blaming everything but the actual, deep-seated thing that's really chewing on us.”

Humans Problem Difficult Logic Blame Encounters Traits Chewing Personal Problems

Author:Frank Herbert

“Faith isn't about logic, son," Haddek said. "Perhaps that's your problem. You cannot 'disprove' the things you study, any more than we can prove to you that the Hero will save us. We simply must believe it, and accept the things Preservation has taught us.”

Believe Said Problem Accepting Study Taught Son Hero Prove Logic Preservation Taught Us

Book:The Hero of Ages: Book Three of Mistborn

Source: The Hero of Ages: Book Three of Mistborn

“I watched as Humphrey Bogart’s character used beans as a metaphor for the relative unimportance in the wider world of his relationship with Ingrid Bergman’s character, and chose logic and decency ahead of his selfish emotional desires. The quandary and resulting decision made for an engrossing film. But this was not what people cried about. They were in love and could not be together. I repeated this statement to myself, trying to force an emotional reaction. I couldn’t. I didn’t care. I had enough problems of my own.”

“For I now realize that what overcame me that evening was a sudden awareness of the power of intuition, the supra-logic that cuts out all routine processes of thought and leaps straight from problem to answer.”

Problem Process Answers Cutting Logic Instinct Intuition Leap Routine Hunches Instinct Intuition

Author:Robert Graves

“Scientists are the easiest to fool. ... They think in straight, predictable, directable, and therefore misdirectable, lines. The only world they know is the one where everything has a logical explanation and things are what they appear to be. Children and conjurors-they terrify me. Scientists are no problem; against them I feel quite confident.”

Thinking Knows World Feels Children Problem Science Lines Fool Logic Scientist Explanation Logical No Problem Predictable

Author:James P. Hogan

“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

“Doctor Who has never pretended to be hard science fiction... At best Doctor Who is a fairytale, with fairytale logic about this wonderful man in this big blue box who at the beginning of every story lands somewhere where there is a problem...”

Men Hard Stories Problem Bigs Fiction Wonderful Land Doctors Logic Blue Science Fiction Boxes Doctor Who Fairytale Wonderful Man

Author:Neil Gaiman

“Good design is a matter of discipline. It starts by looking at the problem and collecting all the available information about it. If you understand the problem, you have the solution. It’s really more about logic than imagination.”

Ifs Matter Problem Imagination Information Design Discipline Solutions Logic Available Collecting Good Design

Author:Massimo Vignelli

“Logic is the last scientific ingredient of Philosophy; its extraction leaves behind only a confusion of non-scientific, pseudo problems.”

Philosophy Problem Lasts Science Behinds Logic Confusion Ingredients Confusing Pseudo Extraction

Book:The Unity of Science

Source: The Unity of Science

“Critics of the global warming agenda are motivated... by a love of freedom and civil liberties. They want a discussion based on logic and facts that will address any problems without depriving us of liberty and personal choice. They do not want to sacrifice our way of life based on fears of an unproven theory. After all, the loss of liberty is a greater cause of alarm than global warming.”

“Mathematics and logic have been proved to be one; a fact from which it seems to follow that mathematics may successfully deal with non-quantitative problems in a much broader sense than was suspected to be possible.”

May Has Beens Facts Problem Seems Deals Logic Mathematics

Author:Alfred Korzybski

“I would like to tell our American, British and Spanish friends that the Iraqi crisis is not a problem between the United States and France, but between those who want to move forward in the logic of war and the international community.”

Want War States Problem Moving Community United United States Friends Logic Crisis International British Moving Forward France Keep Moving Forward International Community

Author:Dominique de Villepin

“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

“Eventually, Aristotle appeared among the Greeks. He improved the methods of logic and systematized its problems and details. He assigned to logic its proper place as the first philosophical discipline and the introduction to philosophy. Therefore he is called the First Teacher.”

Firsts Philosophy Problem Teacher Discipline Logic Philosophical Method Details Greek Introduction

Author:Ibn Khaldun

“It may be that everything the life science companies are telling us will turn out to be right, and there's no problem here whatsoever. That defies logic.”

May Problem Turns Company Economy Logic No Problem

Author:Jeremy Rifkin

“Each problem that I solved became a rule, which served afterwards to solve other problems.”

Problem Success Growth Learning Humorous Logic Witty Solve Math Mathematical Problem Solving Famous Motivational Math Education Solved Problems Math Problems Mathematical Problems

Author:Rene Descartes

“The solution of every problem is another problem”

Problem Solutions Logic Math Reasoning

Author:Johann Wolfgang von Goethe

“My philosophy is that once you get people compelled enough to sit down and play the game, the whole way you make the game successful is by giving them enough unique ways to do things. First, let them deal with pulling levers and things like that for a while. Then after they've mastered that, you give them something else to do, like getting through doorways by blasting them down with a cannon Next, you give them a monster-finding quest, followed by logic problems to figure out. You pace it that way. Assorted activities and the diversity of activities are what makes a game rich in my mind.”

“It is time, therefore, to abandon the superstition that natural science cannot be regarded as logically respectable until philosophers have solved the problem of induction. The problem of induction is, roughly speaking, the problem of finding a way to prove that certain empirical generalizations which are derived from past experience will hold good also in the future.”

Way Problem Past Certain Natural Prove Findings Logic Philosopher Abandon Superstitions Respectable Natural Science Generalization Past Experiences

Author:A.J. Ayer

“He who cannot describe the problem will never find the solution to that problem.”

Problem Solutions Logic Math Reasoning

Author:Confucius

“One of the big misapprehensions about mathematics that we perpetrate in our classrooms is that the teacher always seems to know the answer to any problem that is discussed.”

Knows Problem Bigs Seems Answers Teacher Logic Mathematics Math Mathematical Reasoning Classroom Math Education Mathematical Logic Math Problems Mathematical Problems

Author:Leon Henkin

“[One way] researchers sometimes evaluate people's judgments is to compare those judgments with those of more mature or experienced individuals. This method has its limitations too, because mature or experienced individuals are sometimes so set in their ways that they can't properly evaluate new or unique conditions or adopt new approaches to solving problems.”

Source: Teen 2.0: Saving Our Children and Families from the Torment of Adolescence