Lawrence M. Krauss Quotes

Well it was not exactly a dissertation in logic, at least not the kind of logic you would find in Whitehead and Russell's Principia Mathematica for instance. It looked more like mathematics; no formalized language was used.

if you do not appreciate the mathematics, you cannot see, among the great variety of facts, that logic permits you to go from one to the other

I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way.

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.

The one [the logician] studies the science of drawing conclusions, the other [the mathematician] the science which draws necessary conclusions.

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

Logic is an old subject, and since 1879 it has been a great one.

Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.

Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. The basic of logic is the syllogism, consisting of a major and a minor premise and a conclusion - thus: Major Premise: Sixty men can do a piece of work sixty times as quickly as one man. Minor Premise: One man can dig a post-hole in sixty seconds; Therefore- Conclusion: Sixty men can dig a post-hole in one second. This may be called syllogism arithmetical, in which, by combining logic and mathematics, we obtain a double certainty and are twice blessed.

Mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics.

Consequently he who wishes to attain to human perfection, must therefore first study Logic, next the various branches of Mathematics in their proper order, then Physics, and lastly Metaphysics.

Math is sometimes called the science of patterns.

Logic and mathematics are nothing but specialised linguistic structures.

Over the centuries, monumental upheavals in science have emerged time and again from following the leads set out by mathematics.

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

For the things of this world cannot be made known without a knowledge of mathematics.

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

An ounce of algebra is worth of a ton of verbal argument.

What I knew was I liked math and science, and I never wanted to memorize everything. I wanted to understand where it came from.

To me, mathematics, computer science, and the arts are insanely related. They're all creative expressions.

Mathematics is the queen of the sciences.

More than sixty years ago, mathematical logicians, by defining precisely the concept of an algorithm, gave content to the ancient human idea of an effective calculation. Their definitions led to the creation of the digital computer, an interesting example of thought bending matter to its ends.

Mathematical reasoning may be regarded.

Programming is all about numbers.

Aristotle can be regarded as the father of logic. But his logic is too scholastic, full of subtleties, and fundamentally has not been of much value to the human understanding. It is a dialectic and an organon for the art of disputation.