Logic and mathematics are nothing but specialised linguistic structures. — Jean Piaget
Pure mathematics is, in its way, the poetry of logical ideas. — Albert Einstein
Mathematics is the supreme judge; from its decisions there is no appeal. — Tobias Dantzig
Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform. — Bertrand Russell
Mathematics allows for no hypocrisy and no vagueness. — Stendhal
Logic: The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. — Ambrose Bierce
The highest form of pure thought is in mathematics. — Plato
So mathematical truth prefers simple words since the language of truth is itself simple. — Tycho Brahe
The true Logic for this world is the Calculus of Probabilities, which takes account of the magnitude of the probability. — James Clerk Maxwell
Logic is the last scientific ingredient of Philosophy; its extraction leaves behind only a confusion of non-scientific, pseudo problems. — Rudolf Carnap
Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty. — Deepak Chopra
The understanding of mathematics is necessary for a sound grasp of ethics. — Socrates
Mathematics is the language with which God has written the universe. — Galileo Galilei
All logical arguments can be defeated by the simple refusal to reason logically — Steven Weinberg
Study logic and math, because once you’ve mastered them, you won’t fear any book. — Naval Ravikant
God exists since mathematics is consistent, and the Devil exists since we cannot prove it. — Andre Weil
Mathematical Logic Image Quotes
You will continue to suffer if you have an emotional reaction to everything that is said to you. True power is sitting back and observing everything with logic. If words control your that means everyone can control you. Breathe and allow things to pass.
Logical Reasoning Quotes
I have made the most important discovery of my career, the most important discovery of my life: It is only in the mysterious equations of love that any logic or reasons can be found. — John Forbes Nash
There is no logical reason why thoughts, which have no substance, should have so much power over you, nor is there any reason why you should become their slave — Dilgo Khyentse Rinpoche
In Architecture there is a part that is the result of Logical Reasoning and a part that is created through the Senses. There is always a point where they Clash. I don't think Architecture can be created without that Collision. — Tadao Ando
Don't bend; don't water it down; don't try to make it logical; don't edit your own soul according to the fashion. Rather, follow you most intense obsessions mercilessly.
Language is a form of human reason, which has its internal logic of which man knows nothing. — Claude LeviStrauss
Language is a form of human reason, which has its internal logic of which man knows nothing. — Claude Levi-Strauss
You cannot approach people who think differently with reason and logic if they don't know what that means. First, you have to appeal to their values to start with. If you attack them, you lose them. — Jacque Fresco
Login will get you from A to B. Imagination wil take you everywhere
The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. — Eugene Wigner
My purity manifests itself in countless ways, including an utter inability to sit idly when exposed to attacks on truth, reason, logic, and/or individual dignity. — Gad Saad
There is no logical reason why the camel of great art should pass through the needle of mob intelligence. — Rebecca West
Chess is a very logical game and it is the man who can reason most logically and profoundly in it that ought to win. — Jose Raul Capablanca
The greatest danger in times of turbulence is not the turbulence; it is to act with yesterday's logic. — Peter Drucker
Don't bend; don't water it down; don't try to make it logical; don't edit your own soul according to the fashion. Rather, follow your most intense obsessions mercilessly. — Franz Kafka
It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth. — Jean Piaget
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. — Massimo Vignelli
People don't buy for logical reasons. They buy for emotional reasons.
When someone is taught the joy of learning, it becomes a life-long process that never stops, a process that creates a logical individual. That is the challenge and joy of teaching. — Marva Collins
Without a standard there is no logical basis for making a decision or taking action. — Joseph M. Juran
Brevity is the soul of command. Too much talking suggests desperation on the part of the leader. Speak shortly, decisively and to the point–and couch your desires in such natural logic that no one can raise objections. Then move on. — Cyrus the Great
One of the most common ways to overcome resistance to change is to educate people about it beforehand. Communication of ideas helps people see the need for and the logic of a change. The education process can involve one-on-one discussions, presentations to groups, or memos and reports. — John P. Kotter
Logical Thinking Quotes
Live simply and without thinking too much, like a child with his father. Faith without too much thinking works wonders. The logical mind hinders the Grace of God and miracles. Practice patience without judging with the logical mind. — Elder Paisios of Mount Athos
No, no, you're not thinking; you're just being logical. — Niels Bohr
When it comes to thought, you should be in full control. Your brain’s job is to produce logic for you to consider. — Mo Gawdat
Our doubts are our traitors.
We are living in an interminable succession of absurdities imposed by the myopic logic of short-term thinking. — Jacques Yves Cousteau
Stop making sense. Logic is predictable. Think differently. — Paul Smith
Address to Albert Einstein: You are not thinking. You are merely being logical. — Niels Bohr
Remember there's no such thing as a small act of kindness. Every act create a ripple with no logical end
Pure logical thinking cannot yield us any knowledge of the empirical world. All knowledge of reality starts from experience and ends in it. — Albert Einstein
A good designer must rely on experience, on precise, logic thinking; and on pedantic exactness. No magic will do. — Niklaus Wirth
But men love abstract reasoning and neat systematization so much that they think nothing of distorting the truth, closing their eyes and ears to contrary evidence to preserve their logical constructions. — Fyodor Dostoevsky
Logical Ideas Quotes
Persuasion is not about how bright or smooth or forceful you are. It’s about the other party convincing themselves that the solution you want is their own idea. So don’t beat them with logic or brute force. Ask them questions that open paths to your goals. — Chris Voss
Ideas should be neutral. But man animates them with his passions and folly. Impure and turned into beliefs, they take on the appearance of reality. The passage from logic is consummated. Thus are born ideologies, doctrines, and bloody farce. — Emile M. Cioran
The laws against public nudity make no sense. The idea that Jerry Falwell can go topless while Cindy Crawford cannot is an absolute affront to logic, common sense and the 5000 year human struggle for aesthetic taste. — Peter McWilliams
Logic will take you form A to B. Imagination will take you everywhere.
Pure mathematics is, in its way, the poetry of logical ideas. ... [By seeking] logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature. — Albert Einstein
Logic is the hygiene the mathematician practices to keep his ideas healthy and strong. — Hermann Weyl
Any useful logic must concern itself with Ideas with a fringe of vagueness and a Truth that is a matter of degree. — Norbert Wiener
Lottery: A tax on people who are bad at math.
Man associates ideas not according to logic or verifiable exactitude, but according to his pleasure and interests. It is for this reason that most truths are nothing but prejudices. — Remy De Gourmont
All exact science is dominated by the idea of approximation. — Bertrand Russell
Every valuable creative idea must always be logical in hindsight. If it were not, we would never be able to see its value. — Edward De Bono
Knowledge and ideas tend to be a bit like experience - nice, but not necessarily useful. Clear thinking, logical priorities and the ability to reason will beat bright ideas and unassisted experience everytime. — Carroll Smith
Young man, in mathematics you don't understand things. You just get used to them. — John Von Neumann
Logic will get you from A to B. Imagination will take you everywhere.
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. — Jaime Escalante
Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency. — Rene Descartes
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking. — John Von Neumann
Logical positivists have never taken psychology into account in their epistemology, but they affirm that logical beings and mathematical beings are nothing but linguistic structures. — Jean Piaget
Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician. — Gottlob Frege
The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful. — Aristotle
A formal manipulator in mathematics often experiences the discomforting feeling that his pencil surpasses him in intelligence. — Howard Whitley Eves
If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy. — Alfred Renyi
Without a deep understanding of human psychology, without the acceptance that we are all crazy, irrational, impulsive, emotionally driven animals, all the raw intelligence and mathematical logic in the world is little help. — Chris Voss
The general mental qualification necessary for scientific advancement is that which is usually denominated "common sense," though added to this, imagination, induction, and trained logic, either of common language or of mathematics, are important adjuncts. — Joseph Henry
The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method. — Paul Halmos
Obvious is the most dangerous word in mathematics. — Eric Temple Bell
What distinguishes a mathematical model from, say, a poem, a song, a portrait or any other kind of "model," is that the mathematical model is an image or picture of reality painted with logical symbols instead of with words, sounds or watercolors. — John L. Casti
There are three kinds of people: those who can count, and those who cannot. — George Carlin
If there is a problem you can't solve, then there is an easier problem you can't solve: find it. — George Polya
Since the mathematicians have invaded the theory of relativity I do not understand it myself any more. — Albert Einstein
What humans do with the language of mathematics is to describe patterns. — Lynn Steen
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. — Paul Halmos
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science. — Mary Somerville
Mathematics consists in proving the most obvious thing in the least obvious way. — George Polya
Science attempts to find logic and simplicity in nature. Mathematics attempts to establish order and simplicity in human thought. — Edward Teller
The world is more than the sum of its suffering. — Deepak Chopra
A fist is more than the sum of its fingers. — Margaret Atwood
The mathematician's patterns, like the painter's or the poet's, must be beautiful. — G. H. Hardy
The pursuit of mathematics is a divine madness of the human spirit. — Alfred North Whitehead
Much of what I make is geometric, and has a kind of almost mathematical logic to the form. — Anish Kapoor
But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it Hilbert's, Einstein's or Gödel's intuition. — Mikhail Leonidovich Gromov
Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences. — Christopher Zeeman
Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff to any degree of fineness. — Thomas Huxley
There can never be surprises in logic. — Ludwig Wittgenstein
The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it. — Eugene Wigner
A painting is more than the sum of its parts — Wendelin Van Draanen
It is not certain that everything is uncertain. — Blaise Pascal
We never know what we are talking about. — Karl Popper
My suggestion is that at each state the proper order of operation of the mind requires an overall grasp of what is generally known, not only in formal logical, mathematical terms, but also intuitively, in images, feelings, poetic usage of language, etc. — David Bohm
It is shocking that young people should be addling their brains over mere logical subtleties in Euclid's Elements, trying to understand the proof of one obvious fact in terms of something equally .. obvious. — Oliver Heaviside
Logic is the art of going wrong with confidence. — Joseph Wood Krutch
In Conclusion
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