The Hidden Beauty of Math…

” The mathematician’s patterns, like the painter’s or the poet’s, must be beautiful, the ideas, like the colors or the words, must fit together in a harmonious way. Beauty is the first test; there is no permanent place in the world for ugly mathematics… It may be very hard to define mathematical beauty, but that is just as true of beauty of any kind – we may not know quite what we mean by a beautiful poem, but that does not prevent us from recognizing one when we read it” (G.H.Hardy ” A Mathematician’s Apology”)

“a highly abstract, inner beauty, a beauty so abstract form and logical structure, a beauty that can be observed, and appreciated, onlu by those sufficiently well trained in the discipline. ” (Keith Devlin ” The Language of Mathematics: Making the Invisible Visible”)

“Mathematics, rightly viewed, possesses not only truth, but supreme beauty – a beauty cold and austere, like that of a sculpture, without appeal to any part of our weak nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stren perfection such as only the greatest art can show.” (Bertrand Russel “Mysticism and Logic”)

“Mathematics, the science of patterns, is a wayof looking at the world, both the physical, biological, and sociological world we inhabit and the inner world of our minds and thoughts. Mathematics’ greatest success has undoubtedly been in the physical domain, where the subject is rightly referred to as both the qeen and the servant of the (natural) sciences. Yet, as an entirely human creation, the study of mathematics is ultimately a study of humanity itself. […] The absolute certainty of a mathematical proof and the indefinitely enduring nature of mathematical truth are reflections of the deep and fundamental status of the mathematician’s pattern in both the human mind and the physical world.” (Keith Devlin ” The Language of Mathematics: Making the Invisible Visible”)

” The great book af nature can be read only by those who know the language in which it was written. And this language is mathematics.” (Galileo)

” Mathematics is the abstract key which turns the lock of the physical universe.” (John Polkinhorne)

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