Jean Piaget Quotes

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

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

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.

Mathematics is not just a language. Mathematics is a language plus reasoning.

When I dealt with set theory, I could never make it be the music that I wanted.

Mathematics is the music of reason.

The power of mathematics is often to change one thing into another, to change geometry into language.

I enjoyed mathematics from a very young age. At the beginning of college, I had this illusion, which was kind of silly in retrospect, that if I just understood math and physics and philosophy, I could figure out everything else from first principles.

Pure mathematics is, in its way, the poetry of logical ideas.

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

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.

Mathematical reasoning may be regarded.

If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.

In complex trains of thought signs are indispensable.

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

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.

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

I have hardly ever known a mathematician who was capable of reasoning.

From a drop of water a logician could infer the possibility of an Atlantic or a Niagara without having seen or heard of one or the other.

Logic takes care of itself; all we have to do is to look and see how it does it.

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

You should carefully study the Art of Reasoning, as it is what most people are very deficient in, and I know few things more disagreeable than to argue, or even converse with a man who has no idea of inductive and deductive philosophy.

Logicians may reason about abstractions. But the great mass of men must have images.

Logic is the art of going wrong with confidence.

Mathematics is one of the essential emanations of the human spirit, a thing to be valued in and for itself, like art or poetry.