Comments by "Digital Footballer" (@digitalfootballer9032) on "Numberphile2" channel.

  1. The universe implodes!
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  2. He's a Liverpool supporter? I knew there was a reason I liked this channel.
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  3. What is interesting is you could have an undefeated season and get relegated, if you drew all or most of your games.
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  4. Chuck Norris can count to infinity.
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  5. Simon is a rockstar. He is the reason I subscribed to Numberphile.
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  6. Interestingly, TREE(3) then must be the largest number (at least in concept since we don't know the actual proof) that we know of in existence that does not use any kind exponential operation to reach its sum. Graham's number does, it uses the arrow function, as well as Loaders number uses functions to increase. TREE (3), although he uses "TREE(x)" as a function, in it of itself uses no functions. It is just how many ways can you arrange these three items, not to the power of anything, it is just simple, yet incomprehensible at the same time! Edit : I should say not TREE (3), but the concept of the TREE problem itself yields the largest results, because obviously TREE (4), or TREE (googol) is larger. One might argue that TREE itself is a function, and yes it can be used as one...but at it's "roots", TREE is actually just a game that increases one result at a time (though be it more time than the existence of the universe), but not exponential results. At no point in hypothetically solving TREE are you raising anything to a higher exponential power.
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  7. Language had to be invented, mathematics just exists. Yes, we had to define it with numerals and symbols, but math would exist even if humans weren't around to compute mathematical equations. Everything in the universe is built off of mathematics.
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