#mathematical

Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics. ↗

— G. H. Hardy

#applied #distinctly #mainly #mathematical #mathematics

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. ↗

— G. H. Hardy

#because #die #forgotten #ideas #languages

Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to think in three or four. ↗

— Stephen Hawking

#dimensions #directly #easy #ensured #equipped

There exists, if I am not mistaken, an entire world which is the totality of mathematical truths, to which we have access only with our mind, just as a world of physical reality exists, the one like the other independent of ourselves, both of divine creation. ↗

— Charles Hermite

#am #both #creation #divine #entire

The immediacy of mystic experience simply means that we know God just as we know other objects. God is not a mathematical entity or a system of concepts mutually related to one another and having no reference to experience. ↗

— Muhammad Iqbal

#concepts #entity #experience #god #having

Statistics: the mathematical theory of ignorance. ↗

— Morris Kline

#mathematical #statistics #theory

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. ↗

— Alan Turing

#combination #exercise #facilities #ingenuity #intuition

Ignorance and superstition ever bear a close and mathematical relation to each other. ↗

— James F. Cooper

#close #each #ever #ignorance #mathematical

The great appeal of the doctrine that the mind is a blank slate is the simple mathematical fact that zero equals zero. ↗

— Steven Pinker

#blank #blank slate #doctrine #equals #fact

As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable. ↗

— Abraham Robinson

#as far as #even #facts #far #i