Music is the pleasure the human mind experiences from counting without being aware that it is counting.
M.A. NowakMots clés music mathematics
Physics depends on a universe infinitely centred on an equals sign.
Mark Z. DanielewskiMots clés equilibrium balance physics metaphysics harmony mathematics
If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos.
Gary William FlakeMots clés chaos-theory mathematics
Ideas that require people to reorganize their picture of the world provoke hostility.
James GleickMots clés science life philosophy paradigm-shift physics chaos chaos-theory mathematics paradigm thomas-kuhn
In the field of Egyptian mathematics Professor Karpinski of the University of Michigan has long insisted that surviving mathematical papyri clearly demonstrate the Egyptians' scientific interest in pure mathematics for its own sake. I have now no doubt that Professor Karpinski is right, for the evidence of interest in pure science, as such, is perfectly conclusive in the Edwin Smith Surgical Papyrus.
James Henry BreastedMots clés science mathematics egyptology pure-research university-of-michigan
Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. Appearances suggest the contrary, but there are easy explanations. Music can be used to stimulate mass emotion, while mathematics cannot; and musical incapacity is recognized (no doubt rightly) as mildly discreditable, whereas most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity
G.H. HardyMots clés music stupidity math fallacy mathematics
Physicists have come to realize that mathematics, when used with sufficient care, is a proven pathway to truth.
Brian GreeneMots clés truth physics mathematics
Mathematics is the art of explanation.
Paul LockhartMots clés mathematics
Mathematics is the music of reason. To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of confusion—not because it makes no sense to you, but because you gave it sense and you still don't understand what your creation is up to; to have a break-through idea; to be frustrated as an artist; to be awed and overwhelmed by an almost painful beauty; to be alive, damn it.
Paul LockhartMots clés mathematics
Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.
Bertrand RussellMots clés art beauty math sculpture mathematics
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