Math's Fundamental Flaw
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| Math's Fundamental Flaw |
| Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription. Special thanks to Prof. |
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This is the conundrum: the primordial foundation of math is assumptions which cannot be proved, but which, taken on faith, makes everything that follows provable and possible. So math does have something in common with religion. Once you make that leap of faith, everything is bound together in a self-referring, self-affirming structure. And look what math has made for us.
My favorite conundrum is the true nature of infinity. Calculus and quantum mechanics are based on it. It's a very simple concept: an inclusion of everything in an unending series. But on a regular basis, infinity confounds math. An example is multi-verses, suggested by quantum theory. We have assumed that our universe in infinite, but if true, how can our universe be but one of an infinite number of them (only one of which we can actually study). Surely there is something about infinity which our simple definition fails to understand. Once again, math and religion have that in common.
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William Ballard RPT
WBPS
Saxtons River VT
802-869-9107
"Our lives contain a thousand springs
and dies if one be gone
Strange that a harp of a thousand strings
should keep in tune so long."
...........Dr. Watts, "The Continental Harmony,1774
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