See if you can solve this puzzle

[xiin-finiin]

let A be the set of all non-negative whole numbers. So, A = {0,1,2,3,4... going on forever}. And let B be the set of all non-negative even numbers. So, B={0,2,4,6,... going on forever}. Now, the question is, does A have more elements than B or does B have more elements than A or do they have number of elements ? pls justify your answer. if you've seen this question( or a similar one) or have a maths background, pls refrain from answering. I ask because i am collecting data for something.

thanks in advance

 

[Omar del Sur]

I voted same because how can one infinity be bigger than another infinity?

 

[xiin-finiin]

I voted same because how can one infinity be bigger than another infinity?

intuitively you'd think so, but it turns out that some infinities are indeed bigger than other infinities.

 

[Omar del Sur]

intuitively you'd think so, but it turns out that some infinities are indeed bigger than other infinities.

I have heard this and I do not believe it. Have they found two infinities and measured them with a ruler and found one was bigger?

 

[Omar del Sur]

how can there be bigger and smaller infinites????? an infinity is an infinity

(but I will add, though.... this kind of topic I think is speculative.... I don't claim to have definitive knowledge.. these are just my thoughts)

 

[xiin-finiin]

I have heard this and I do not believe it. Have they found two infinities and measured them with a ruler and found one was bigger?

Not in the real world, no. But in math you can prove that there are infinities of different "sizes".

 

[killerxsmoke]

let A be the set of all non-negative whole numbers. So, A = {0,1,2,3,4... going on forever}. And let B be the set of all non-negative even numbers. So, B={0,2,4,6,... going on forever}. Now, the question is, does A have more elements than B or does B have more elements than A or do they have number of elements ? pls justify your answer. if you've seen this question( or a similar one) or have a maths background, pls refrain from answering. I ask because i am collecting data for something.

thanks in advance

both A and B have an infinite number of elements

 

[Gacmeey]

Would it not be option B since I assume decimal places would also be allowed in B. Unless B is also even whole number which I’d then say option A since no numbers are removed whilst option B is removing odd whole numbers

 

[xiin-finiin]

both A and B have an infinite number of elements

thats correct. but how do they compare to one another? keep in mind that there are infinities of different "sizes". So even though A and B are infinite sets, that doesn't necessarily mean their sizes (cardinality) is the same.

 

[xiin-finiin]

Would it not be option B since I assume decimal places would also be allowed in B. Unless B is also even whole number which I’d then say option A since no numbers are removed whilst option B is removing odd whole numbers

to whoever is reading this, please don't look at the spoiler before answering the question.

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[JigjigaKismaayo]

How are you casually asking gender war experts and fkd experts to prove a math theorum? anyways, I am gonna go and say A has more number because it contains all the odd numbers that is not contained in B, so it has more but I am sure the answer isn't that simple.

 

[killerxsmoke]

to whoever is reading this, please don't look at the spoiler before answering the question.

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What do you study in university?

 

[xiin-finiin]

How are you casually asking gender war experts and fkd experts to prove a math theorum? anyways, I am gonna go and say A has more number because it contains all the odd numbers that is not contained in B, so it has more but I am sure the answer isn't that simple.

Lool, thats actually the point of this post. I was curious how someone who never saw this question and wasn't familiar with math would answer.

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[xiin-finiin]

What do you study in university?

math&cs saxib

 

[Gacmeey]

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Math is too arbitrary for me to get really interested in. It becomes fun when you use in combination with something like physics (the fun bits like relativity). Would there be any real life application to this?

 

[somalincel]

Math is too arbitrary for me to get really interested in. It becomes fun when you use in combination with something like physics (the fun bits like relativity). Would there be any real life application to this?

Maths as a field isn’t really about direct real life applications, it just lays out alit of ground work that other fields use

 

[Sol]

A because A also includes every number in B

 

[Odious Delirium]

once it reaches the point of infinite it all levels out

 

[𐒋𐒖𐒆𐒔𐒖𐒕𐒈]

Could I be so bold as to suggest: none of the above? I say so, for it applies to tuples, sets, and dictionaries, and is determined by the logic of your snippet.

 

[Gojo Satoru]

Lool, thats actually the point of this post. I was curious how someone who never saw this question and wasn't familiar with math would answer.

How does that work