Top 1200 Mathematical Logic Quotes & Sayings

The Nazis played the same games against Jews that today’s left plays against 'Eurocentrism,' 'whiteness,' and 'logocentrism.' When you hear a campus radical denounce 'white logic' or 'male logic,' she is standing on the shoulders of a Nazi who denounced 'Jewish logic' and the 'Hebrew disease'...The white man is the Jew of liberal fascism.

An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street." This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.

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

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.

My reasons are the same as for any mathematical conjecture: (1) It is a legitimate mathematical possibility, and (2) I do not know.

Much of what I make is geometric, and has a kind of almost mathematical logic to the form.

[Referring to Fourier's mathematical theory of the conduction of heat] ... Fourier's great mathematical poem.

Like music or art, mathematical equations can have a natural progression and logic that can evoke rare passions in a scientist. Although the lay public considers mathematical equations to be rather opaque, to a scientist an equation is very much like a movement in a larger symphony. Simplicity. Elegance. These are the qualities that have inspired some of the greatest artists to create their masterpieces, and they are precisely the same qualities that motivate scientists to search for the laws of nature. LIke a work of art or a haunting poem, equations have a beauty and rhythm all their own.

Logic presumes a separation of subject from object; therefore logic is not final wisdom.This is Zen. This is my motorcycle maintenance.

Among all the liberal arts, the first is logic, and specifically that part of logic which gives initial instruction about words. ... [T]he word "logic" has a broad meaning, and is not restricted exclusively to the science of argumentative reasoning. [It includes] Grammar [which] is "the science of speaking and writing correctly-the starting point of all liberal studies."

There is a logic of colors, and it is with this alone, and not with the logic of the brain, that the painter should conform.

I enjoy logic and logic puzzles. And filmmaking is one fun logic puzzle that you gotta win.

Logic cannot model causal systems, and paradox is generated when time is ignored [as in logic].

Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover.

Logic and truth are two very different things, but they often look the same to the mind that's performing the logic.

It is all about numbers. It is all about sequence. It's the mathematical logic of being alive. If everything kept to its normal progression, we would live with the sadness-cry and then walk-but what really breaks us cleanest are the losses that happen out of order.

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.

Logic plus logic equals the illogical. Do you know what I mean?

I am opposed to looking upon logic as a kind of game. ... One might think that it is a matter of choice or convention which logic one adopts. I disagree with this view.

Ordinary language is totally unsuited for expressing what physics really asserts, since the words of everyday life are not sufficiently abstract. Only mathematics and mathematical logic can say as little as the physicist means to say.

Theoretical physicists accept the need for mathematical beauty as an act of faith... For example, the main reason why the theory of relativity is so universally accepted is its mathematical beauty.

You have to connect on emotion not logic. People go on dates and it becomes a CV exercise. Logic is someone asking 'what do you do for a job?' when you should ask 'why do you do that? What is it you enjoy?'

I am allowed to use plain English because everybody knows that I could use mathematical logic if I chose.

The want of logic annoys. Too much logic bores. Life eludes logic, and everything that logic alone constructs remains artificial and forced.

Only mathematics and mathematical logic can say as little as the physicist means to say.

We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of science are mathematics and logic; the mathematical set puts out the logical eye, the logical set puts out the mathematical eye; each believing that it sees better with one eye than with two. Note that De Morgan, himself, only had sight with only one eye.

The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them as things at all, and as such things. The mathematical is this fundamental position we take toward things by which we take up things as already given to us, and as they must and should be given. Therefore, the mathematical is the fundamental presupposition of the knowledge of things.

By a combination of formal training and self study, the latter continuing systematically well into the 1940s, I was able to gain a broad base of knowledge in economics and political science, together with reasonable skills in advanced mathematics, symbolic logic, and mathematical statistics.

All logic texts are divided into two parts. In the first part, on deductible logic, the fallacies are explained; in the second part, on inductive logic, they are committed.

Nature cares nothing for logic, our human logic: she has her own, which we do not recognize and do not acknowledge until we are crushed under its wheel

Logic is a feeble reed, friend. "Logic" proved that airplanes can't fly and that H-bombs won't work and that stones don't fall out of the sky. Logic is a way of saying that anything which didn't happen yesterday won't happen tomorrow.

It is difficult to remove by logic an idea not placed there by logic in the first place. By nature, we are emotional creatures. Often we live and react based on feelings, not logic. Feelings are wonderful, but when we become tied to a particular thought or belief we tend to ignore the fact that change might be necessary.

Logic must look after itself. In a certain sense, we cannot make mistakes in logic.

The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.

The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.

One might think this means that imaginary numbers are just a mathematical game having nothing to do with the real world. From the viewpoint of positivist philosophy, however, one cannot determine what is real. All one can do is find which mathematical models describe the universe we live in. It turns out that a mathematical model involving imaginary time predicts not only effects we have already observed but also effects we have not been able to measure yet nevertheless believe in for other reasons. So what is real and what is imaginary? Is the distinction just in our minds?

Russell's books should be bound in two colours, those dealing with mathematical logic in red - and all students of philosophy should read them; those dealing with ethics and politics in blue - and no one should be allowed to read them.

It is difficult to remove by logic an idea not placed there by logic in the first place.

But with man the case is otherwise, in that when logic leads to any humiliating conclusion, the sole effect is to discredit logic.

Logic is not a body of doctrine, but a mirror-image of the world. Logic is transcendental.

I hope you become comfortable with the use of logic without being deceived into concluding that logic will inevitably lead you to the correct conclusion.

In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an anti-mathematical principle that is luring us into the wrong answers.

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.

Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s.

If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.

I think part of the appeal of mathematical logic is that the formulas look mysterious - You write backward Es!

One thing I really like about philosophy is that it's possible actually to do work in a wide range of different areas. I am particularly happy that I've even been able to do work in logic that has allowed me to use and develop my mathematical abilities, as well as to work on quite distant topics in philosophy of language and mind.

Logic cannot comprehend love; so much the worse for logic.

The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth.

Dr. Karel Culik is an outstanding applied mathematician, a specialist in algebra, logic, computer sciences and mathematical linguistics. In 1965, he visited the linguistics research program at MIT, and we have worked together on several projects since.

The logic of words should yield to the logic of realities.

I believe that no one who is familiar, either with mathematical advances in other fields, or with the range of special biological conditions to be considered, would ever conceive that everything could be summed up in a single mathematical formula, however complex.

First, in your sermons, use your logic, and then your rhetoric; Rhetoric without logic, is like a tree with leaves and blossoms, but no root; yet more are taken with rhetoric than logic, because they are caught with fine expressions when they understand not reason.

Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.

Business logic and musical logic are utterly incompatible.

Formal logic is mathematics, and there are philosophers like Wittgenstein that are very mathematical, but what they're really doing is mathematics - it's not talking about things that have affected computer science; it's mathematical logic.

I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.

Mathematical Mark all mathematical heads, which be only and wholly bent to those sciences, how solitary they be themselves, how unfit to live with others, and how unapt to serve in the world.

Newton, for instance, attempted to comprehend the diversities of the universe with a single system of mathematical laws, the objectivity, sobriety and logic of Palladian architecture presented an aesthetic formula which, while accepting variations and adjustments according to climate and other needs, could be applied universally.

Love is not the absence of logic but logic examined and recalculated heated and curved to fit inside the contours of the heart.