I also always loved Xeno’s paradox … specifically the Dichotomy Paradox (Halving): To travel from point A to point B, you must first reach the halfway point, but before you reach that halfway point, you reach the halfway point of those two points and on and on and on into infinity … which suggests that in order to get from any point A to any point B, you have to cross infinity … but it’s impossible to travel to infinity so the suggestion of the paradox is that you should never be able to reach any point B
I don’t think I get it, the conclusion doesn’t make any sense to me at all
Because yes, there is an infinite amount of infinities when you think of decimals. We have two when it comes to integers - negative infinity and positive infinity, and there is an infinite amount of infinities between any two integers. 0 - 1, but also between decimals 0.1-0.2, etc
That doesn’t mean you can’t add or multiply any two numbers just because there is an infinity inbetween.
I also always loved Xeno’s paradox … specifically the Dichotomy Paradox (Halving): To travel from point A to point B, you must first reach the halfway point, but before you reach that halfway point, you reach the halfway point of those two points and on and on and on into infinity … which suggests that in order to get from any point A to any point B, you have to cross infinity … but it’s impossible to travel to infinity so the suggestion of the paradox is that you should never be able to reach any point B
I don’t think I get it, the conclusion doesn’t make any sense to me at all
Because yes, there is an infinite amount of infinities when you think of decimals. We have two when it comes to integers - negative infinity and positive infinity, and there is an infinite amount of infinities between any two integers. 0 - 1, but also between decimals 0.1-0.2, etc
That doesn’t mean you can’t add or multiply any two numbers just because there is an infinity inbetween.
We cross infinity all the time. Git gud
… to infinity … and beyond
and you don’t fly there either … you’re just falling with style