Kek Also
> it is completely valid to say, "Let there be a function that does what I want it to do."
>Let [math] f : \mathbb { N } \to \mathbb { R } [/math]
>By the above function, we can map the naturals to the reals
CANTOR BTFO
CONTINUUM HYPOTHESIS BTFO
stop laysplanning me
functions mapping naturals to the reals exist, just not bijectively
its just because its in physicist special snowflake notation
you mean like this?
[math] f(x)=x\,\,\,x\in\mathbb{N}\implies f:\mathbb{N}\mapsto\mathbb{R} [/math]
how could you fuck up this badly
>completely valid to say, "Let there be a function that does what I want it to do."
Let there be a bijective function between the reals and the naturals. (Cantor BTFO)
Let there be a bijective function between {1} and {1,2} (Common sense BTFO)
Let there be a continuous function that is equal to [math]I_{\mathbb Q}[/math] (The identity on Q) (Lebesgue BTFO)
Let there be a contiunous function f such that [math]x_n \to x[/math] and [math]\underset{n \to \infty}{lim}f(x_n) \neq x[/math] (Everyone but WIldberger BTFO)
I can go on with this if you want, but you are clearly an idiot. Some of the most important theorems in many fields of mathematics (stuff like Hahn-Banach) deal with EXACTLY the question when a certain function exists.
You have clearly no clue about mathematics, which COMPLETELY invalidates what you are talking about.
None of those things you mention are what I wanted to do but nice straw man. You really set that straw man up well and knocked it right down. Good on you child, you will go far.
If you feel like writing something relevant, you should write about how I wanted to map a tensor written in the notation I invented into the notation Einstein invented.
I just refuse to learn any of this due to the dumb ยต/v - notation. Can't anyone make it look like vector calculus?
>straw man
dude learn english, that is not a strawman that was me debunking your idiotic """theories""".
Hilarious how you retards get mad after I debunked your schizophrenic theories.
You clearly haven't the SLIGHTEST clue about physics.