Errors Quote by Anonymous

Mathematics is not a deductive science, that's a cliché ... What you do is trial and error, experimentation, guesswork.

— Paul Halmos

“All mathematical proofs must be deductive. Each proof is a chain of deductive arguments, each of which has its premises and conclusion.”

— Morris Kline

“Mathematics works only with computationally reducible systems. Axioms and deductive logic are intended to provide shortcuts, to give general results that can compress a…

— Richard Bookstaber

Mathematics is the science which draws necessary conclusions.

— Benjamin Peirce

Math does come easily to me, but I was always much more interested in what theorems imply about the world than in proving them.

— Antony Garrett Lisi

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

— Alfred North Whitehead

“Deductive reasoning, the bedrock of the scientific method, begins with a new theory which leads to a prediction (a hypothesis). The real world is…

— Rich Jolly

“Even science is inductive, relying on observations and best explanations, not always deductive conclusions.”

— Nabeel Qureshi

Wherever Mathematics is mixed up with anything, which is outside its field, you will find attempts to demonstrate these merely conventional propositions a priori,…

— Carl Gustav Jacob Jacobi

The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians…

— William Thurston

Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems.

— Carl Pomerance

Mathematical reasoning may be regarded...

— Alan Turing