Re: [one-logic] Questions

[Luke Palmer]

These are fairly elementary set theory questions. I have to ask -- is
this homework? If so, I recommend you ask your instructor for help.

On Sat, Sep 12, 2009 at 4:45 PM, zuhair <zalj...@gmail.com> wrote:
>
> Hi all,
>
> I need help with the following questions:
>
> Question 1: What is the cardinality of the set of all injections from
> Omega to Omega?
>
> Question 2: What is the cardinality of the set of all injections from
> Omega to Power(Omega)? and especially if it is strictly greater  than
> the cardinality of Power(Omega) or not?
>
> Question 3: if x is an infinite non Dedekindian infinite set
> what is the cardinality of the set of all injections from x to x+1? is
> it strictly greater than the cardinality of x and than that of x+1 or
> not?
>
> Zuhair
>
> >
>