Arithmetic Quote by Keith Devlin

Cardinal Arithmetics is much older than Number Theory. People used to exchange things way before there were numbers. Expressing numbers like 762 is already…

— Saharon Shelah

Many of the proofs in mathematics are very long and intricate. Others, though not long, are very ingeniously constructed.

— Edward Charles Titchmarsh

Mathematical proofs, like diamonds, are hard and clear, and will be touched with nothing but strict reasoning.

— John Locke

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

Arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or…

— Plato

I believe that proving is not a natural activity for mathematicians.

— Rene Thom

All of mathematics can be deduced from the sole notion of an integer; here we have a fact universally acknowledged today.

— Emile Borel

Proofs exist only in mathematics and logic, not in science.

— Satoshi Kanazawa

Mathematicians need proofs to keep them honest. All technical areas of human activity need reality checks. It is not enough to believe that something…

— Ian Stewart

Any good theorem should have several proofs, the more the better.

— Michael Atiyah

A proof tells us where to concentrate our doubts.

— Morris Kline

All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.

— Leopold Kronecker