Mathematicians usually discover a theorem first through intuition; this result seems plausible to them initially, after which they proceed to construct a proof. — Hardy
Most mathematical creations are the result of intuition, involving a direct perception or rapid understanding of facts, unrelated to any lengthy or formal reasoning process. — Russka
Infinity! No other problem has ever so profoundly touched the human soul. — Hilbert
Numbers rule the universe. — Pythagoras
Mathematics, the queen of sciences; Number Theory, the queen of mathematics. — Gauss
If I had inherited a considerable fortune, I would probably have little value in mathematics. — Lagrange
Mathematics is a tool well-suited for handling any kind of abstract concept, and its power in this domain is limitless. For this reason, a book on emerging physics, unless it is purely descriptive of experiments, is essentially a mathematical book.
In gaining insight, one must dare to perform subtraction: subtract the parts already solved by predecessors to see which problems remain unsolved and need our exploration and resolution. — Hua Luogeng