Accuracy Quote by Leopold Kronecker

The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its properties, or…

— IU?. I. Manin

Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles,…

— Gottfried Leibniz

Can the existence of a mathematical entity be proved without defining it ?

— Jacques Hadamard

PROOFS = P. Pertinent R. Realizations O. Often O. Offering F. Findings S. Selectively

— Stanley Victor Paskavich

“Since all terms that are defined are defined by means of other terms, it is clear that human knowledge must always be content to…

— Bertrand Russell

The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one…

— Kurt Gödel

“Definitions create conditions.”

— Alfred Korzybski

The word 'definition' has come to have a dangerously reassuring sound, owing no doubt to its frequent occurrence in logical and mathematical writings.

— Willard Van Orman Quine

The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one…

— Kurt Gödel

Every sentence in order to have definite scientific meaning must be practically or at least theoretically verifiable as either true or false upon the…

— Walter A. Shewhart

Before one can generalize, formalize, and axiomatize, there must be a mathematical substance.

— Hermann Weyl

We prove what we want to prove, and the real difficulty is to know what we want to prove.

— Emile Chartier