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Mathematicians may express this pleasure by describing mathematics (or, at least, some aspect of mathematics) as beautiful or describe mathematics as an art form, (a position taken by G. H. Hardy [1]) or, at a minimum, as a creative activity. Comparisons are made with music and poetry.
Aristotle's substance theory (being a substance belongs to being qua being) has been interpreted as a theory of transcendentals. [3] Aristotle discusses only unity ("One") explicitly because it is the only transcendental intrinsically related to being, whereas truth and goodness relate to rational creatures. [4]
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts. Mathematics and art have a long historical ...
Do Not Erase is formatted as a sequence of 109 two-page spreads, [3] printed unusually in landscape mode: the pages are approximately letter size, but wider than they are tall. [2] Each spread features a full-color photograph of a mathematician's chalkboard, generally viewed straight on without visual embellishment, [ 1 ] although some include ...
A whirl of golden rectangles. Divide a square into four congruent right triangles with legs in ratio 1 : 2 and arrange these in the shape of a golden rectangle, enclosing a similar rectangle that is scaled by factor and rotated about the centre by ().
Category theory is a unifying theory of mathematics that was initially developed in the second half of the 20th century. [4] In this respect, it is an alternative and complement to set theory. A key theme from the "categorical" point of view is that mathematics requires not only certain kinds of objects ( Lie groups , Banach spaces , etc.) but ...
Symmetry (from Ancient Greek συμμετρία (summetría) 'agreement in dimensions, due proportion, arrangement') [1] in everyday life refers to a sense of harmonious and beautiful proportion and balance. [2] [3] [a] In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some ...
John Forbes Nash Jr. (June 13, 1928 – May 23, 2015), known and published as John Nash, was an American mathematician who made fundamental contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations.