Characteristics Quote by Charles Sanders Peirce

Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the understanding of…

— William Thurston

“This quest to take a problem and see what happens in different situations is called generalizing, and it is this force that drives mathematics…

— Matt Parker

. . . we have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even…

— Anonymous

Usually, thinking may end up widen our imaginations that creates nonsense generalizations.

— Glemar

It is not of the essence of mathematics to be conversant with the ideas of number and quantity.

— George Boole

...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept…

— Paul Halmos

Before you generalize, formalize, and axiomatize there must be mathematical substance.

— Hermann Weyl

Mathematics is the summit of human thinking. It has all the creativity and imagination that you can find in all kinds of art, but…

— Meir Shalev

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

— Hermann Weyl

This common and unfortunate fact of the lack of adequate presentation of basic ideas and motivations of almost any mathematical theory is probably due…

— Mikhail Leonidovich Gromov

An idea is always a generalization, and generalization is a property of thinking. To generalize means to think.

— Georg Wilhelm Friedrich Hegel

Mathematics is merely the means to a general and ultimate knowledge of man.

— Friedrich Nietzsche