Quotes on Generalities

Intellectual generalities are always interesting, but generalities in morals mean absolutely nothing.

The generality of virtuous women are like hidden treasures, they are safe only because nobody has sought after them.

...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.

The Republican nominee-to-be, of course, is also a young man. But his approach is as old as McKinley. His party is the party of the past. His speeches are generalities from Poor Richard's Almanac. Their platform, made up of left-over Democratic planks, has the courage of our old convictions. Their pledge is a pledge to the status quo-and today there can be no status quo.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.

Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.

Even before string theory, especially as physics developed in the 20th century, it turned out that the equations that really work in describing nature with the most generality and the greatest simplicity are very elegant and subtle.

When we deal in generalities, we shall never succeed. When we deal in specifics, we shall rarely have a failure. When performance is measured, performance improves. When performance is measured and reported, the rate of performance accelerates.

It is certain that the easy and obvious philosophy will always, with the generality of mankind, have preference above the accurate.

Far be it from me, my dear sister, to depreciate such pleasures. They would doubtless be congenial with the generality of female minds. But I confess they would have no charms for me. I should infinitely prefer a book.

Don’t become a wandering generality. Be a meaningful specific.