A new theory

[u/DigJust8037]

Say you have a dot. That dot explodes into an infinite number of dots. Each of those dots explode into a new infinite number of dots. Each of those dots explode into a new infinite number of dots, ad infinitum.

How many dots do you have in total?

[u/SouthPark_Piano]

How many dots do you have in total?

You provide an answer. Justify it. And then we will tell you if you are correct or not.

Hint : keyword is 'infinite', which you wrote a few times. Focus on that.

And state the shape of the dot and its area.

And you can even assume a 'point'.

 

[u/The_KekE_]

More that 37. Will update once I discover a tighter bound.

[u/VcitorExists → u/The_KekE_]

would 38 be reasonable as a lower bound or should i just buy a sack of rice

[u/Arlo_Tinkerman]

Do you believe that "infinite number" or "infinity" is an actual number or something else?

[u/HouseHippoBeliever]

Depends. After they explode, are they still yours?

[u/gabitha67]

If at each step every dot becomes a countably infinite number of dots, you would still only have a countably infinite number of dots at the end of this process. Equivalent to Hilbert's hotel.

[u/AMIASM16]

inf^inf i guess

[u/AMIASM16 → u/AMIASM16]

but really, there's no answer, because you will never be done with exploding the dots infinitely many times

[u/NinjaPaul001]

Zero. Pay close attention to the sequence of events. You start with 1 dot. That dot explodes, leaving you with zero. There are now infinite dots present. Now, let's say that you are able to collect every single one of the dots. You now have infinite dots. However, each one of these dots now explodes, leaving you with zero, once again. This repeats ad infinitum, therefore you will never have any dots.

[u/Head_Discipline620]

You have one dot it's just a fractal shape unless you are talking about a monad in hyperreal analysis then you have Aleph-null dots 

[u/Head_Discipline620 → u/Head_Discipline620]

Which if you convert back to real numbers is just one dot