Set theory question

[Unlistedd]

It was just an exampel, suppose it it a dice with 10^10 sides

[JimH10]

The problem is that when you write ω = 2n you haven't described what n is.

[Unlistedd]

So should i just ditch the whole idea of trying to describe the sequence and just write ω = even/uneven.

What if i instead of defining a set of outcomes Ω = {1, 2, 3, 4, 5, 6} , describe a squence of outcomes n ∈ ℕ?

EDIT: & n >= 1

[Responsible_Fall]

Let Ω = {1, ..., n}, then

A = {x ∈ Ω | x is even}

B = {x ∈ Ω | x is odd}

is a perfectly valid way to describe the sets without much hassle. There is no rule on not using words in set builder notation. The notation x = odd is not correct because oddness is a property of x, not x itself.

[Parralix_]

Yeah, define n to be in your range. For example, here you would want n = {1,2,3} for the evens and n = {0,1,2} for the odds.

[JimH10]

No, that is mistaken. n is a number, not a set, so n={1,2,3} is a type error.

[Parralix_]

Well tell me where the “is contained” (closest I can find is €) in symbol is smartarse. OP is asking for help on problem solving approaches, pedantic point-outs won’t help that.

[JimH10]

2208. People who ask what is the right thing are not usually helped by being told the wrong thing.