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Seeing so many fascinating videos about paradoxes and unproven conjectures, I thought it worth having it's own section, so I created one today.
These things can really get me thinking. For example, the latest one I've seen about Gabrielle's Horn is fascinating. I'll be posting about that one next and what's interesting is how in the Numberphile video, they show you mathematically how the paradox works, Up and Atom explains how there's really no paradox at all, since two different things are being compared, eg the proverbial apples and oranges. I'm not entirely convinced by that, but can see how she's come to that conclusion.
nerdzone.uk
The Riemann Hypothesis is another fascinating one that's proven true for trillions of iterations in a computer, but a rigorous mathematical proof is still proving elusive.
As well as myself and anyone else creating new threads about this subject here, I'll be moving any such threads from other sections into this one.
So, what is a paradox, anyway? I'll let Vsauce2 explain it.
If you have any suggestions about improving this further or would just like to leave some feedback, please do so in this thread.
Nerd level: Nerd Master Extreme
Enjoy.
These things can really get me thinking. For example, the latest one I've seen about Gabrielle's Horn is fascinating. I'll be posting about that one next and what's interesting is how in the Numberphile video, they show you mathematically how the paradox works, Up and Atom explains how there's really no paradox at all, since two different things are being compared, eg the proverbial apples and oranges. I'm not entirely convinced by that, but can see how she's come to that conclusion.
Gabriel's Horn Paradox
How can an infinitely long shape have a finite volume, but infinite surface area? Answers on a postcard please to the usual address. Here's a rigorous mathematical proof from Numberphile. The best bit is right at the end when the paradox flummoxes the mathematician who shows how the paradox...
nerdzone.uk
The Riemann Hypothesis is another fascinating one that's proven true for trillions of iterations in a computer, but a rigorous mathematical proof is still proving elusive.
As well as myself and anyone else creating new threads about this subject here, I'll be moving any such threads from other sections into this one.
So, what is a paradox, anyway? I'll let Vsauce2 explain it.
If you have any suggestions about improving this further or would just like to leave some feedback, please do so in this thread.
Nerd level: Nerd Master Extreme
Enjoy.
