>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