Conquest Quote by Morris Kline

Logic merely sanctions the conquests of the intuition.

— Jacques Hadamard

Logic is the hygiene the mathematician practices to keep his ideas healthy and strong.

— Hermann Weyl

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

— Felix Klein

Mathematicians care no more for logic than logicians for mathematics.

— Augustus De Morgan

Mathematicians use intuition, conjecture and guesswork all the time except when they are in the classroom.

— Joseph Warren

“Mathematicians think in symbols, physicists in objects, philosophers in concepts, geometers in images, jurists in constructs, logicians in operators, writers in impressions, and idiots…

— Nassim Nicholas Taleb

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. The…

— Alan Turing

“It is by logic that we prove. It is by intuition that we discover," said the mathematician Henri Poincare.l”

— Ellen J. Langer

Intuition is more important to discovery than logic.

— Henri Poincare

There is a logic of language and a logic of mathematics.

— Thomas Merton

A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is…

— Gian-Carlo Rota

As soon as a thought or word becomes a tool, one can dispense with actually 'thinking' it, that is, with going through the logical…

— Max Horkheimer