Welcome to our collection of Mathematics quotes! Whether you are a math enthusiast, a student, or just someone looking for a little inspiration, this page is the perfect place to explore the world of numbers, equations, and mathematical concepts.
Mathematics is not only a subject; it is a language that allows us to understand and describe the fundamental laws that govern our universe. From the elegance of geometry to the depths of calculus, mathematicians have long been uncovering the hidden truths and patterns embedded in our reality.
Within these pages, you will find a wide range of quotes from renowned mathematicians, scientists, philosophers, and thinkers who have pondered the mysteries and beauty of mathematics. From the complex to the simple, from the abstract to the practical, these quotes will shed light on the significance of mathematics in our lives and the profound impact it has on our understanding of the world.
So, whether you are seeking some mathematical wisdom, looking for inspiration to solve a problem, or simply appreciating the wonder of numbers, we invite you to explore this collection of Mathematics quotes. Let these insightful words spark your curiosity and ignite a deeper appreciation for the beauty and power of mathematics.
The man who has learned that three plus one are four doesn't have to go through a proof of that assertion with coins, or dice, or chess pieces, or pencils. He knows it, and that's that. He cannot conceive a different sum. There are mathematicians who say that three plus one is a tautology for four, a different way of saying "four" ... If three plus one can be two, or fourteen, then reason is madness.
Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? ... Where does the proof use the hypothesis?
The heart of mathematics consists of concrete examples and concrete problems. Big general theories are usually afterthoughts based on small but profound insights; the insights themselves come from concrete special cases.
[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.
Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
What's the best part of being a mathematician? I'm not a religious man, but it's almost like being in touch with God when you're thinking about mathematics. God is keeping secrets from us, and it's fun to try to learn some of the secrets.
If the NSF had never existed, if the government had never funded American mathematics, we would have half as many mathematicians as we now have, and I don't see anything wrong with that.
