I've seen the last number at the end of infinity and I could tell you if it's odd or even, but by doing so I would break this simulation :-)
Is infinity an odd or even number? (2011)
21–30 of 398 posts
Re: Is infinity an odd or even number? (2011)
#22In JavaScript we're spoiled by having both. There's Number.NEGATIVE_INFINITY and Number.POSITIVE_INFINITY.
Re: Is infinity an odd or even number? (2011)
#23Infinity is equal to the product of all the primes. It is even because it has 2 as a factor.
Re: Is infinity an odd or even number? (2011)
#24Tl;dr: it’s even
Re: Is infinity an odd or even number? (2011)
#25In my experience with children, one of the easiest-to-grasp concepts of infinity is provided by the transfinite ordinals, since it can be viewed as a continuation of the usual counting manner of children, but proceeding into the transfinite: 1,2,3,⋯,ω,ω+1,ω+2,⋯,ω+ω=ω⋅2,ω⋅2+1,⋯,ω⋅3,⋯,ω2,ω2+1,⋯,ω2+ω,⋯⋯ Presumably this person has no experience with 6 year olds? This explanation is horrendous haha
No it isn't. If you ask a child what comes after infinity, "Infinity + 1" is pretty much the default answer. Any kid who knows multiplication knows "Infinity + Infinity" is the same as "Infinity Times Two". The answer of "Infinity TIMES Infinity" is also popular for kids to say when they know a number bigger than their friend (who just proclaimed infinity is the largest number).
Six-year-olds know multiplication?
Re: Is infinity an odd or even number? (2011)
#26Nope. Just because one infinity passes one test for evenness does not imply they all infinities do.
Re: Is infinity an odd or even number? (2011)
#27>To explain the idea to a child, I would focus on the principal idea: whether finite or infinite, a number is even when it can be divided into pairs. For finite sets, this is the same as the ability to divide the set into two sets of equal size, since one may consider the first element of each pair and the second element of each pair. The answer this quote came from is amazingly obtuse, but it does make me think that…
But zero is in the middle, so it must be odd
Re: Is infinity an odd or even number? (2011)
#28In my experience with children, one of the easiest-to-grasp concepts of infinity is provided by the transfinite ordinals, since it can be viewed as a continuation of the usual counting manner of children, but proceeding into the transfinite: 1,2,3,⋯,ω,ω+1,ω+2,⋯,ω+ω=ω⋅2,ω⋅2+1,⋯,ω⋅3,⋯,ω2,ω2+1,⋯,ω2+ω,⋯⋯ Presumably this person has no experience with 6 year olds? This explanation is horrendous haha
They are not explaining to a 6 years old, they explains to somebody who will in their turn explain it to a 6 years old, which is a different task and has to be optimized in a different way.
Re: Is infinity an odd or even number? (2011)
#29Infinity is equal to the product of all the primes. It is even because it has 2 as a factor.
It’s also equal to the product of all primes except 2 so it’s odd.
Re: Is infinity an odd or even number? (2011)
#30I want to know if there are more decimal numbers between 0 and 1 than there are integers between 0 and infinity.
Assuming sqrt(2)/2 is one of the elements of your set between 0 and 1, there are! See https://en.m.wikipedia.org/wiki/Countable_set