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Mathematical Way of Thinking

  

  

"The difference between the traditional conception of art and that just defined (the art of our time) is much the same as exists between the laws of Archimedes and those we owe Einstein and other outstanding modern physicists. Archimedes remains our authority in a good many contingencies though no longer in all of them. Phidias, Raphael and Seurat produced works of art that characterize their several epochs for us because each made full use of such means of expression as his own age afforded him."

Max Bill in his most important essay The Mathematical Way of Thinking in the Visual Art of Our Time (1949,
revised in: Michele Emmer /ed.):The Visual Mind: Art and Mathematics. Cambidge (Mass), London: MIT, 1993, p.5-9)



  

  

"Mathematics, which comes 'from the inside' while at the same time describing something on the outside, is the only science in which one is able to find the truth (and even prove it!) through thought and thought alone, in other words, by, as it were, looking inside oneself."

Dan Zagier: A Passion for Mathematics. In: Mathematics - A Beautiful Elsewhere. Paris: Fondation Cartier, 2011, p.96