/sci/ - Science & Math

woah *rips bong*

>>10067690
Gödel knew this.

>>10067735
And even people 2000 years before he state that.

>>10067690
I know what you probably want to say, but F(x) = F(F(x))... It's similar, not same.

>>10067690
in other words
x=F(x)
which means F(x)= 1*x
>You have created a function which is just a multiplication by one.

>>10067690
Try to describe this using set theory too.

>>10067690
> The Self is the identity operator

>>10068628
And conciousness is this
1*1*x

>>10067690
>lets give random variables to these abstract concepts and place them in an arithemetic arbitrarily to arrive at a premise based on conjecture
whoa..

>>10068544
This is not true, there are functions satisfying this that aren't the identity function.

>>10068650
Prove it.

>>10068709
Not him but
(1/2,1/2;1/2,1/2)*(1/2,1/2;1/2,1/2)=(1/4+1/4,1/4+1/4;1/4+1/4,1/4+1/4)=(1/2,1/2;1/2,1/2)

>>10068709
Not him either, but
F(x)=0 you fucking idiot.

>>10067690

>>10068723
I dont get this, can you explain ?

>>10068544
>You have created a function which is just a multiplication by one.

wrong. They defined the following:
F projects x from set A to set B, where B is a subset of A and all projections within B are identities.

>>10068842
and for the dummies: F takes all sorts of things as inputs, and puts them into bins. But lso bins can be inputs and they stay the same.
The signum function is such a "classifier" function.

>>10068864
What do you mean bins or iso bins ? what is that ?

>>10068867
"lso" was a typo for "also"

>>10068709
Absolute value, floor and ceiling

>>10068864
so why do you use the word bins ? you dont mean binary since that wouldnt make sence. Do you mean like a trashcan or something like that ?

>>10069312
bins can be for storing all sorts of household items, e.g. a laundry bin, i think it's more of a european thing to refer to a "bin" and mean specifically a "trashcan"

>>10067690
so we are the universe experiencing itself? Did you smoke some drugs, op?

>>10068709
idk what is with the meme proofs but um it is just basic algebra anon

>>10067690
>the universe is a function that is equal to its argument
wow such deep math and philosophy

So if I derive the universe will I get conciousness? Is this what monks do in their heads?
>>10069359
What if it's not invertible? Surely the universe is not just one function but a ton of them you can place in a matrix.

>>10069374
no, dumb psued

>>10067735
Godel is such a faggot outside of of rigorous mathematical statements.

>>10069359
You assumed it's invertible, retard.

>>10068709
Any projection.

E.g.
f(<L,R>) := <L,C>

>>10069391
now here's a fun one: is f(x)=f(f(f(...x...))) related to the continum hypothesis?

>>10069428
(my thinking is that a projection can shrink a set and if we start with R and descend to N, then the question is if there's a set of an intermediate size somewhere along the way)

>>10069382
>faggot
Why the homophobia?

>>10069428
>>10069442
no wait, that makes no sense. it should be f(f(f(... = f(f(f(f(... with one less f on the left size

>>10069458
cause homosexuality is vile.

>>10069472
back to /pol/ with you

>>10069385
o you are not wrong

>>10069461
but that implies that
because let x be F(x)
then F(F(x)) = F(F(F(x)))
but we know F(x) = F(F(x))
so
F(x) = F(F(F(x)))
and
F(x) = F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(F(x))))))))))))))))))))))))))))))))))))))))))))))))))))))

>>10069520
yeah thats true because for a projection operator P^2=P

>>10067690
how can a function call itself

>>10069547
because of infinity

>>10069530
cool

>>10069547
it does not call itself, it takes the value of the same function of a variable as a variable.

>>10069385
Yeah, most likely the self is not invertible. Rarely is reality perfectly symmetric.

i've got the solution!

for all values of x which are IN THE RANGE of f(x), f(x) must be the identity function. elsewhere, as long as x is outside of the range of f(x), f(x) can be any function (which is still restricted to be within the range of f(x))

You're all brainlets. The function looks like this

x_1 -> c_1
c_1 -> c_1
x_2 -> c_2
c_2 -> c_2
...

Where x_a =/= x_b if a=/= b

>>10069382
Nah, what Godel did for ordinals vs cardinals, and really mathematical logic as a whole has been really important. It’s all led up to this idea that you can argue all you want about the constructions of the real numbers (or at least how far you get before metric space), but you can consider the reals a logical consequence of the naturals

The axiom of choice tends to fuck a lot of things up though, even with peano ordering. You can use the axiom of choice to force ordering and succession on an uncountable set like the reals

t.

What the fuck do you mean by this

>>10068739
Take a two dimensional square matrix A with all entries 1/2, then A^2=A.

>>10068639
That basically describes all mathematically based sciences.

>>10069513
Back to /lgbt/ filthy faggot

>>10067690

>>10068639
>how does he dare to do abstract reasoning with mathematical symbols omg!

>>10068723
>>10069779
You seem to have forgotten how parentheses work

>>10069379
But i was kidding :(

>>10067690
So your saying the universe is a projection... woah mind blown XDDD