Quotable Mathematics

"The fact is that the beautiful, humanly speaking, is merely form considered in its simplest aspect, in its most perfect symmetry, in i...

"A group is a set along with a rule that tells how to combine any two elements in the set to get another element in the set. We usually...

"The beauty that Nature has revealed to physicists in Her laws is a beauty of design, a beauty that recalls, to some extent, the beauty...

"As glimpsed by physicists, Nature's rules are simple, but also intricate: Different rules are subtly related to each other. The in...

"The investigation of the symmetries of a given mathematical structure has always yielded the most powerful results. Symmetries are map...

"A physical system is said to possess a symmetry if one can make a change in the system such that, after the change, the system is exac...

"Without facts we have no science. Facts are to the scientist what words are to the poet. The scientist has a love of facts, even isola...

"Self-organization can be defined as the spontaneous creation of a globally coherent pattern out of local interactions. Because of its ...

"Because the question for me was always whether that shape we see in our lives was there from the beginning or whether these random eve...

" Mathematics is an exploratory science that seeks to understand every kind of pattern - patterns that occur in nature, patterns invent...

"The conception of tensors is possible owing to the circumstance that the transition from one co-ordinate system to another expresses i...

"The chaos theory will require scientists in all fields to, develop sophisticated mathematical skills, so that they will be able to bet...

"Until now, physical theories have been regarded as merely models with approximately describe the reality of nature. As the models impr...

"God's dice always have a lucky roll." (Sophocles, 5th century BC) "[...] to repeat the same throw ten thousand times wit...