>here's your model of the continuum, bro
>it only comes at the expense of:
> the arithmetic of rational and natural numbers
>the ability to compute with naturals even just those less than 10
>the ability to explain basic math to a child
> all semantics
>You also get as a bonus:
> a whole bunch of natural questions that turn out to be undecidable
> numbers that contain answers to every question ever (which are definitely (assumed to be) real)
>Banach Tarski paradox
>inaccessible dark numbers
>ability to confidently dismiss Zeno's paradoxes by confusing the listener
> a cool theorem in Fourier analysis
>it only comes at the expense of:
> the arithmetic of rational and natural numbers
>the ability to compute with naturals even just those less than 10
>the ability to explain basic math to a child
> all semantics
>You also get as a bonus:
> a whole bunch of natural questions that turn out to be undecidable
> numbers that contain answers to every question ever (which are definitely (assumed to be) real)
>Banach Tarski paradox
>inaccessible dark numbers
>ability to confidently dismiss Zeno's paradoxes by confusing the listener
> a cool theorem in Fourier analysis
