Human intelligence Quote by James Joseph Sylvester

The object of pure Physic[s] is the unfolding of the laws of the intelligible world; the object of pure Mathematic[s] that of unfolding the…

— James Joseph Sylvester

The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the…

— James Joseph Sylvester

[Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers,…

— Hermann Hankel

“It is my conviction that pure mathematical construction enables us to discover the concepts and the laws connecting them, which give us the key…

— Albert Einstein

The physicist who states a law of nature with the aid of a mathematical formula is abstracting a real feature of a real material…

— Hilary Putnam

[Mathematics] is an independent world created out of pure intelligence.

— William Wordsworth

In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects…

— Philip J. Davis

“Unlike the laws of reality that scientist describe in complex mathematical equations, the laws that govern human behavior are imprecise and in constant flux.…

— Kilroy J. Oldster

The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.

— Alfred North Whitehead

Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is…

— Hermann Weyl

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.

— David Hilbert

Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point…

— Hermann Weyl