Talk about math here

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Avatar of M1m1c15
This is a fun thread
Avatar of RonaldJosephCote

Sorry, I was watching an episode of "Debris".

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The two incompleteness theorems are:

Every mathematical system is incomplete. That is, there are statements that are true that cannot be proven.

No mathematical system can prove its own consistency. That is, we cannot use maths to prove that maths has no contradictions
Avatar of leahabs1
It’s actually quite philosophical, interestingly enough
Avatar of RonaldJosephCote

     ....surprise.png....didn't know there was more than 1....https://www.google.com/search?q=The+two+incompleteness+theorems&rlz=1C1GCEA_enUS743US743&sxsrf=ALeKk00vzVw1LYSbpy0KvPUF5Xx9JHUKpQ:1621308731643&source=lnms&tbm=vid&sa=X&ved=2ahUKEwju6JTYpdLwAhWeKVkFHebIBz4Q_AUoAnoECAEQBA&biw=1024&bih=625                                              

Avatar of p8q
GoldaA1 wrote:
The two incompleteness theorems are:

Every mathematical system is incomplete. That is, there are statements that are true that cannot be proven.

No mathematical system can prove its own consistency. That is, we cannot use maths to prove that maths has no contradictions

Gödel's incompleteness theorems are the best of the best, it leaves us with this cool misterious feeling that makes you wonder about reality itself. It's like knocking at the door of The Matrix surprise.png

Another nice "philosophical" topic is Planck constant, as if the whole universe were quantified and we all are composed of little chunks of energy and everything is pixelated like a video game shock.png

Avatar of leahabs1
Right, like why are there limits like planks time and planks constant.
That could perhaps be part of a simulation theory argument.
Avatar of M1m1c15
Mind explaining what planks are?
Avatar of hypermuddish

i m bad at math

Avatar of M1m1c15
19 sir
Avatar of M1m1c15
21 is incorrect
Avatar of leahabs1
Named after Max Planck, Plancks length is the smallest possible measurement to exist, as afterwards the laws of physics will break down. The actual value is 1.616255×10⁻³⁵ m
Planks time is the smallest time interval- the time it takes a photon (travelling at light speed ofc) to cross one plancks length and is equal to 10^-43 s
Avatar of leahabs1
Simplify it to 2^10
Avatar of M1m1c15
Oh plancks are cool that’s super cool
Avatar of p8q
M1m1c15 wrote:
Oh plancks are cool that’s super cool

heheh, a joke just came to my mind:

we live in a wooden universe, cause it's made of plancks

Avatar of M1m1c15
Well not really plancks are just the smallest measurement we’ve made
Avatar of RonaldJosephCote

Welcome 

Avatar of leahabs1
Irresistible force paradox
What happens when an unstoppable force meets an immovable object?
The reason why it can’t happen is bc it involves infinity.
a=f/m, so an unstoppable force would need infinite mass.
An immovable object can’t exist in general relativity, so we describe this as an un-acceleratable object instead.
In essence, they are the same thing, just from different reference frames! (If an objects velocity can’t change, it’s technically unstoppable).
The only possible outcome would be that the objects pass through each other, with no inference as they are both unstoppable. Obviously this reminds me of quantum mechanics, but it’s cool to see a Newtonian scale example. Again, it could never happen but pretty epic to think about.
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