THE 5 BEST COUNTER-EXAMPLES IN THE HISTORY OF MATHEMATICS

395,817 views

Mates Mike

Published on Premiered Apr 25, 2022
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■ Borwein Integral Papers: https://arxiv.org/pdf/1105.3943.pdf http://schmid-werren.ch/hanspeter/pub... ■ Patreon: /matesmike ■ Channel members: /@matesmike ■ Instagram: @mates.mike ■ Twitter: @mike_mates Goldbach's conjecture tells us that every even number greater than 2 can be written as the sum of two primes. For example, 24 is 11 plus 13, or 66 is 23 plus 43. This statement has not yet been proven, but it has been computationally proven up to 4 times 10 to the 18th power, a huge number. So of course, we could say, come on, if it has been proven up to that large a number, it has to be 100% true, right? Well, in mathematics, intuition often fails, and this could be one of those cases. And to illustrate it, we are going to see 5 counterexamples to conjectures that, to the surprise of many, turned out to be false. ►► SOME VIDEOS: ► INFINITY SAGA: • The Hotel Paradox With Infinite H... ► FACTORIAL SAGA: • What is the Factorial in Mathematics and... ► THE RIEMANN HYPOTHESIS: • The Pattern of Prime Numbers and the... ► The Order of the Factors DOES alter the Product: • The Order of the Factors DOES alter the... ► How to Divide by 0 Without Collapsing the Universe: • How to Divide by 0 without Breaking the Un... ►Equations and fractals: • How to CREATE FRACTALS with POLYNOMIALS ...

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