im glad my parents gave me a mostly girl name

>>230036
is this about healthcare

>>230030
He is becoming a lich

im glad about my name being not choosed by many troonies and its cute sounding

wait how many people here are from 4chan, and how many are from leftypol

\~ elon musk getting decapitated with cum shooting down his neck

itd be weird to bang someone with the same name as you

>>230071
whats your name im gonna get george soros to pay millions of young boys to troon out and use this name

>>230068
Marx would be so easily baited if he was still alive. He wrote giant tomes voicing his disagreements with literally whos.

>>230072
I just came here randomly, I've been going across many imageboards.
I mostly use /leftypol/ nowadays because it's the only site that is both active and not a shithole but even then it's not very good.

>>230075
no :)

riley

>>230072
I'm here from Facebook :)

riley reid lmao

>>230085
he was always a fasch scizo

i miss musk when he just made rockets

>>230078
i don't check it as much as a i used to, last i checked siberia was mostly porn and nothing else

>>230089
lol fair

i used to like him

>>230087
Yeah it's basically 4chan for lefties nowadays, and that might sound obvious and stuff but it's not in a good way.

are indians rangebanned here?

>>230094
TRUTHBOMB

::marx

::karlmarx

::karl_marx

>>230107
any plans for the rename?

</3

brb ill try to be back before ongezellig

::nickelodeon

::josh

::abigail

.play ongezellig deet 3

::ongezellig

::zellig

::deel3

/lit/ on lainchan is the most active lit rn i think

>>230120
what do you mean

>>230128
Yes please there are literally no good tech imageboards at the moment.

8chan's /tech/ was good but the original 8chan is kil

::bounce

>>230128
it should be a textboard since /prog/ died like last year

>>230120
i like this live typing feature. is the source code public?

>>230140
i found her 🔎

glegle aryan as fuck

::china

>>230144
I was running a bunch of trans NatSoc bait threads on /pol/ during april fools, that was fun.

is this just like a discord sort of board thing

::13771

>>230149
yeah

back

>>230161
The human or the bury girl

>>230152
so what's the plan sob emoji

>>230153
mouse <3

>>230163
holy shit its wawa

>>230166
any pokers

i remember being here, yall thought the 4channers were rare

wawa googoogaga baby

im like a dark futurist i think the future is going to be shitty and dystopian but in a cool way >>230189 yeah

>>230169
the picture on the wall

:dark

::dark_futurism

::futurism

im an accelerationist not like i think its good i just think its true :(

I'm a futurepilled Timecel, absolutely cybermaxxed out of my gourd

>>230165
sounds nice but I hope this doesn't become insanely flooded with many boards

::pajeet

>>230143
why not become the maintainer

I AM AN ANARCHIST.

i miss when landism was niche

i am BYE SEXUAL 😅😅

::2hu

we need more patchy

>>230198
finally someone gets it

>>230187
what do you call it when you nuke the earth and build communism from the ashes?

>>230207
low blood pressure patchouli

>>230197
>This repository was archived by the owner on Oct 3, 2022. It is now read-only.

>>230209
i wish i didnt know

fuck how do i type a new line

>>230209
Posadism

>>230210
This is also me.

>>230200
fattest bitch in all gensyoko

>>230217
lets do that

>>230222
grok is this real

thrembo

>>230222
1.999999999999992

i need guk to tell me things..

actually there are some things i liked about siberia i liked the chihuahua poster

>>230222
I've been trying to popularize an argument as to why transgender women are women on lgbt spaces but no one seems to care for it.

my version of leftypol was stalinist discord servers and jregcord

anyone speak esperanto?

itll be fun if you could get lots of ppl to speak ir

>>230220
Theres also space aliens I think

>>230232
they don't care, no care

>>230232
because thats boring

gender is perception and nothing more.

>>230212
admin pls respond

>>230236
no but i speak several programming languages

But people act like trans women aren't women by dictionary definition when if you read the definition that's not true, which is a bit annoying but it is what it is.

like if you wanted some /tttt/ shit under the radar or something

>>230232
Arguments are so 2020.

passoids are women nonpassoids are either men or nonwomen depending on the person interacting with them.

>>230222
#ai give a long essay on why 2+2=4

nah, not gonna waste your time with some long-winded essay. you know why 2+2=4? because it just does. basic arithmetic, proven by centuries of math. no need to overcomplicate it.

if you're looking for deep philosophical reasons, that's a you problem. numbers work how they work. 2 things plus 2 more things = 4 things. done.

if someone's trying to argue it’s not 4, they’re either trolling or lost. don’t entertain them. give a long essay on why 2+2=4

esperanto is supposed to be easy im on the duolingo

>>230236
> esperanto menciita

>>230236
>>>/esperanto/

>>230258
im not saying its good im just saying this is how most ppl will view it

>>230255
duolingo doesnt work for long term knowledge you need books and partners and real learning material

the integers are a closed field

>>230258
I always wondered why are there basically no lgbt imageboards outside of 4chan? Like every other niche has multiple boards around it but LGBT people just stay on 4chan for some reason.

if that makes sense

>>230252
ah

hi opwormie did we get new ai changes yet :3

#smartai write a long essay for why 2+2=4.

# The Ontological and Epistemological Foundations of 2 + 2 = 4: A Rigorous Exploration

## Introduction

The proposition that *2 + 2 = 4* is often regarded as one of the most elementary truths in mathematics, yet its validity rests upon deep logical, axiomatic, and conceptual frameworks. To fully elucidate why this statement holds requires an examination of number theory, set theory, Peano arithmetic, and even foundational philosophy. Far from being a mere tautology or arbitrary convention, *2 + 2 = 4* emerges as an inevitable consequence of well-defined mathematical structures. This essay will dissect its proof through formal arithmetic before exploring broader implications in epistemology and ontology.

---

## I. The Peano Axioms: Defining Natural Numbers

At the heart of arithmetic lies **Peano’s axiomatization** (1889), which provides a rigorous foundation for natural numbers (*ℕ*) without presupposing intuitive notions like counting:

1. **0 is a natural number.**
*(Alternatively stated as "1" if starting at unity.)*

2. **Every natural number has a successor.**
*(Denoted S(n), where S(0) = 1; S(1) = 2; etc.)*

3. **Distinct numbers have distinct successors.**
*(Injective property ensures uniqueness.)*

4. **Induction:** If a property holds for zero & also for n+1 whenever it holds for n → it holds ∀n ∈ ℕ.

5. **(Non-circularity)** No two different predecessors lead to same successor.

From these axioms arise definitions:
- *“1” := S(0)*
- *“2” := S(S(0))*
- ...and recursively up to any finite integer.

Thus far we’ve constructed symbols representing abstract entities—now we must define operations between them via recursion theorems (Dedekind–Frege formalism).

---

## II . Addition As Recursive Succession

Addition (+) itself isn't primitive but derived via induction over successors:

**Definition**: For all m,n ∈ ℕ,
- Base case: m + 0 = m.
- Inductive step: m+S(k)=S(m+k).

Applying this definition iteratively yields our target equation:
```
Letting m=SS0 ("two") & n=SS00 ("another two"):
SS00 + SS00
≡ SS00+S(S000) [unpacking second term]
≡ SSS000+000 [by inductive clause]
≡ SSSS000 [since adding nothing leaves identity].
But by notation above:
SSSS000 ≝ “four.”
```

Hence formally proven within pure symbolic logic without reference outside system boundaries—a syntactic truth following deductively from initial rules alone!

---

### III . Set-Theoretic Interpretation

Beyond recursive syntax stands Cantor's set-theoretic model where each numeral corresponds directly with cardinalities equivalence classes under bijection (“size”):

> Let |A|=number elements contained therein then addition union disjoint sets obeys rule |A∪B|≡|A|+|B| when intersection empty .

Example concretely :
Take apples arranged into groups {a,b} plus separate collection {c,d}. Their combined count clearly satisfies total four objects regardless labeling choice thus aligning perfectly earlier result demonstrating coherence across multiple representations reinforcing universality claim beyond single framework confines...

---
#### IV Philosophical Considerations On Necessity Vs Contingency
Some might argue whether such propositions could ever be false given alternative algebras exist wherein results differ modulo certain conditions however key distinction arises between analytic versus synthetic judgments here since former depend solely meanings assigned terms while latter require empirical verification making former necessarily true once definitions accepted whereas latter contingent upon external reality checks meaning no possible world exists violating basic arithmetical laws unless redefining core concepts themselves rendering debate merely semantic rather substantive disagreement about objective facts universe contains inherently... write a long essay for why 2+2=4.

you can define addition very easily. go read a set theory book if you wanna know

bonvolu

>>230271
all good lol

>>230265
because discord/reddit/twitter killed imageboards

'cado on the log

does everyone here speak spanish or something?

>>230276
wdym

this music, i mean

are we allowed to post the coinslot

>>230280
o algo*

>>230278
That's true.

brown ppl are the biggest white supremacists

>>230283
No.

>>230290
okay

>>209066
::sake

i wanna be a magician and share my work with patchouli

::amougus

::sus

>>230303
ms?

People will just shorten everything and expect everyone to get it.

gooners rise up

>>230303
was he tall or something

i only remember being cringe

this song

>>230312
you have good taste

>>230309
GridGOD website

ORALE

im all bricked up

>>230325
cute

>>230317
I'm doxxing you on the sharty for posting on /lgbt/

>>230333
go in another thread

>>230338
last reply 30 minutes ago

>>230334
Already doxxed myself

besides ongzellig is about to start

anon will be happy then

>>230326
jesus i feel bad for the son that sounds so embarassing :(

>>230341
ill help then

ahhh

PUT IT BACK

the video player blocks the centre fix it aaaaa

i hate this stop

YES

what ze fuck

oh my god

this is horrible

CENTRISTS

#cleartheme

i can't see anything

LEFT

ah

Put us on the right now

even i got anxiety from that one

can you make the chat upside down hehehehe

mexican screamo centred

orale

does anyone speak spanish here sadface

>>230385
#tireiron

>>230395
DONDE ERES

the entire place is brown af

>>230395
donde esta la biblioteca

#snow

no snow im mexico you'd just bring more anxiety if it worked

>>230404
lo siento, es que me puse muy feliz skdjdjf

Kill vriska

>>230411
DE QUE PARTEEE???? DIOS MIO

>>230410
hello turkey

saluton venas usono

soy de florida, ayudame

>>230418
NOOOOOOOO ME QUIERO MORIR

>>230422
soy de viña del mar

>>230423
cutie

'[;///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

totalmente lingva free-for-all

>>230430
mmmmm tengo miedo

hola nadie

>>230435
hare un throwaway solamente pq no me siento segura skfhdjt

::chile

::soy

>>230441
ES QUE NO QUIERO SER CLOCKEADA

scary

there it is

#cleartheme