Is Zero x Infinity Really a Real Number?

[dkotschessaa]

Isnt multiplication just glorified addition? so according to my primitive views,=) if so how you can keep adding zero infinitely to get zero IMO.

Sometimes primitive ideas are the most informative.

I could see defining $x * \infty = x + x+ x + \cdots$ i.e an infinite sequence. Perhaps this has already been said in this thread in a different way.

-Dave K

 

[Logical Dog]

Sometimes primitive ideas are the most informative.

I could see defining $x * \infty = x + x+ x + \cdots$ i.e an infinite sequence. Perhaps this has already been said in this thread in a different way.

-Dave K

yes but that series it would (?) seem to diverge to infinity or minus infinity, and converge to zero if x=0. IIRC

 

[Logical Dog]

this man HATES much of set theory and calculus, and real numbers...very interesting debate:

 

[dkotschessaa]

yes but that series it would (?) seem to diverge to infinity or minus infinity, and converge to zero if x=0. IIRC

Well, that's would I would expect it to do!

 

[dkotschessaa]

this man HATES much of set theory and calculus, and real numbers...very interesting debate:

Yeah, there are some.

I've considered being a finitist if only to be contrary.