>countably infinite set

>countably

>infinite

Jace Richardson

>countably infinite set

>countably

>infinite

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Hunter Price

Le thread died for this

Adrian Diaz

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

Give me a real number and I can not.

Connor Long

yes yes very funny OP

>inb4 people respond seriously

Jacob Fisher

Colton Lewis

All natural numbers are real numbers.

Adrian Cooper

You can't because real numbers don't exist

Jordan Flores

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

Bentley Cox

>Rational numbers are countable

Now what, big boy?

Luke Edwards

>he bounds mathematics with human limitations

lmao

don't you realize math is the language of GOD

Jordan Gray

>real numbers

>not real

how can something that is real also not be real?

William Peterson

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

Dominic Moore

If two sets are both unique and identical then they're the same set

Lincoln Jenkins

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.

Liam Lee

0.99999...

Christian Stewart

Is our perception real?

Jose Miller

So in other words they're real numbers. Got it

Sebastian Fisher

You can basically count on both sides, either (n+1)/q or n/(q+1).

Dylan Brown

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

Colton Price

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.

Charles Taylor

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.

Dylan James

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

Jack Baker

@9624656

@9624958

retards

Zachary Richardson

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

Charles Ward

@9625356

Retard learn how to use Veeky Forums

Ryan Collins

He thinks (You)'s are upvotes

Andrew Flores

go back to your redit faggots

Wyatt Ward

Countably infinite = graduated.

Isaac Gutierrez

how can numbers be real if our eyes aren't real

Carter Bennett

Absolute mongoloid.

Ethan Russell

=1

Adrian Murphy

>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?