countably infinite set

countably

infinite

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Give me a natural number and I give you its successor.

Give me a real number and I can not.

2 months ago

Countably infinite just means that every element has an element "in front of" it

2 months ago

he bounds mathematics with human limitations

lmao

don't you realize math is the language of GOD

2 months ago

Not true. There's simply a subset of the real numbers that go by the same names as natural numbers.

2 months ago

Identical sets are by definition unique, so yes. I guess he could've been more clear and said

Give me a natural number and I give you its successor

Give me a non-natural real number and I can not

But what he meant was clear from context, so this entire argument is dumb.

2 months ago

"Countable" is vague. You can count parts of an infinite set, but you can't complete the synthesis, that's what makes it infinite.

2 months ago

Finding a bijection between the elements of some set and the natural numbers is literally counting them so the terminology is instructive.

e.g. there is a row of shoes, we count them by successively assigning natural numbers to them.

2 months ago

A mathematics major would have some quip explaining how infinity is but at the end of the day, he will hust be one more retard in a sea of retards called mathlets who only vaguely pretend to understand definitions of infinity, meanwhile being unable to produce an example of infinity being used towards solution of any real world problem.

It's really not a maths concept at all. Mathlets assume otherwise.

2 months ago

Don't take math too seriously, it's mostly just bullshit.

the set of natural numbers includes ALL natural numbers

the last natural number is a number

the set of natural numbers does not contain the last natural number

2 months ago

There is no "last natural number", or "greatest natural number". This is why the set is said to be infinite, i.e. not finite.

2 months ago

meanwhile being unable to produce an example of infinity being used towards solution of any real world problem.

On the top of my head I can name dozens of examples where infinity and concepts developed with infinity are used in real world problems.

Do you honestly think that Engineering would work without "infinite sums".

Have you even taken *any* engineering class and seen where these mathematical concepts are used literally everywhere?

2 months ago

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