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In reply to the discussion: Is the Universe Made of Math? [View all]MineralMan
(151,410 posts)38. While I wait for my copy of Tegmark's book,
I'm contemplating Euler's Identity, also known as Euler's Equation.
eiπ+1=0
Considered by many to be the most "beautiful" equation in mathematics, it's also a classic equation that includes complex numbers, using the imaginary number "i", which is the square root of -1.
Euler's Equation is extremely interesting, in that it is descriptive of much that is fundamental in geometry and trigonometry, and has implications in many areas of science.
Here are some comments on it from https://en.wikipedia.org/wiki/Euler%27s_identity
Stanford University mathematics professor Keith Devlin has said, "like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence".[5] And Paul Nahin, a professor emeritus at the University of New Hampshire, who has written a book dedicated to Euler's formula and its applications in Fourier analysis, describes Euler's identity as being "of exquisite beauty".[6]
The mathematics writer Constance Reid has opined that Euler's identity is "the most famous formula in all mathematics".[7] And Benjamin Peirce, a noted American 19th-century philosopher, mathematician, and professor at Harvard University, after proving Euler's identity during a lecture, stated that the identity "is absolutely paradoxical; we cannot understand it, and we don't know what it means, but we have proved it, and therefore we know it must be the truth".[8]
The mathematics writer Constance Reid has opined that Euler's identity is "the most famous formula in all mathematics".[7] And Benjamin Peirce, a noted American 19th-century philosopher, mathematician, and professor at Harvard University, after proving Euler's identity during a lecture, stated that the identity "is absolutely paradoxical; we cannot understand it, and we don't know what it means, but we have proved it, and therefore we know it must be the truth".[8]
Perhaps it might be the equation that represents our concept of a deity. Or perhaps not. The investigation continues.
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Abstractions are a useful trick we humans have learned, to handle the very real limits
struggle4progress
Apr 2017
#18
Mathematics is useful to describe repetive patterns, and we happen to live in a universe...
Buckeye_Democrat
Apr 2017
#20
But that is not a matter of pure mathematics: it is the end result of a long strange journey
struggle4progress
Apr 2017
#36