G.h. Hardy said this quote

“ It seems that mathematical ideas are arranged somehow in strata, the ideas in each stratum being linked by a complex of relations both among themselves and with those above and below. The lower the stratum, the deeper (and in general more difficult) the idea. Thus the idea of an ‘irrational’ is deeper than that of an integer; and Pythagoras’s theorem is, for that reason, deeper than Euclid’s. ”

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Real mathematics must be justified as art if it can be justified at all.

~ G.h. Hardy

A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than their, it is because they are made with ideas.

~ G.h. Hardy

A mathematician, like a painter or a poet, is a maker of poems. If his patterns are more permanent than theirs, it is because they are made with ideas.

~ G.h. Hardy

It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that.

~ G.h. Hardy