STUDY LOGIC - /pol/ (#511412927) [Archived: 140 hours ago]

Anonymous ID: MzZvKnetSweden
7/26/2025, 2:16:58 PM No.511412927
STUDY LOGIC
STUDY LOGIC
md5: 39faf38d21a9b05aad515224ced76184🔍
Replies: >>511413831 >>511413959 >>511415592 >>511416895 >>511417423 >>511420388 >>511420540 >>511420737 >>511423362 >>511423732 >>511424579 >>511425503 >>511427127
Anonymous ID: i1oK9HAJRomania
7/26/2025, 2:32:19 PM No.511413831
>>511412927 (OP)
You can't study logic. You either have the ability of logical thought or you don't.
Logic is not a science, it's a process that is required in the scientific methods that require filtering and deduction and other things for which you use logical schemes like mathematics and other scientific fields depending on what you're researching / studying.
Replies: >>511413953 >>511415406 >>511423880 >>511425274 >>511425407 >>511427128
Anonymous ID: 1b/xx/8HCzech Republic
7/26/2025, 2:34:19 PM No.511413953
>>511413831
Formal logic is a mathematical field, you can study it the same way as you can study algebra.
Replies: >>511420007
Anonymous ID: AYsV1bZsUnited States
7/26/2025, 2:34:24 PM No.511413959
>>511412927 (OP)
what if Aristotle dressed up like a black man
it would not be logical
Anonymous ID: AYsV1bZsUnited States
7/26/2025, 2:35:35 PM No.511414024
white guy with a dog
white guy with a dog
md5: 2a39ad97a47a47d1a6761ea2436c2ab6🔍
a guy doing this with a dog
does that seem logical
or mentally insane
Replies: >>511415503 >>511416933
Anonymous ID: MzZvKnetSweden
7/26/2025, 2:58:22 PM No.511415406
logic isaac watts table of contents
logic isaac watts table of contents
md5: c0d5c153c8af1dc0df6b6caa4881fc4b🔍
>>511413831
a) you know nothing about logic
b) you're brainwashed
c) only people who haven't studied any logic say that you can't study logic and that it's innate
d) you most certainly can study logic
e) study logic

https://archive.org/details/logicorrightuseo00watt
Replies: >>511415681 >>511416728 >>511418158
Anonymous ID: ua/xAL2GChile
7/26/2025, 2:59:52 PM No.511415503
>>511414024
No boner no penetration, the boner does look erased though
Anonymous ID: K0X1NOkhAustralia
7/26/2025, 3:01:29 PM No.511415592
>>511412927 (OP)
how will studying logic help me ascend while there are girls who fuck niggers and dogs while I still never had a girlfriend?
Replies: >>511415766 >>511423880
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:02:51 PM No.511415681
>>511415406
logic works with math, causality works with real life
Replies: >>511415880 >>511417741 >>511425830
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:04:13 PM No.511415766
>>511415592
what is the cause of that? determine that then get other people to agree with you and then destroy the cause. wallah.
Replies: >>511415953
Anonymous ID: MzZvKnetSweden
7/26/2025, 3:05:50 PM No.511415880
>>511415681
People who know nothing about logic have all kinds of ideas about what logic is, all of which are totally uninteresting. Study logic.
Replies: >>511416075
Anonymous ID: K0X1NOkhAustralia
7/26/2025, 3:07:13 PM No.511415953
>>511415766
the cause of what exactly?
this
> there are girls who fuck niggers and dogs while I still never had a girlfriend?
or this
> there are girls who fuck niggers and dogs
or this
>still never had a girlfriend?
or my assumption that
>studying logic will not help me ascend
Replies: >>511416022
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:08:25 PM No.511416022
>>511415953
>the cause of what exactly?
cultural subversion. you think women make their own decisions?
Replies: >>511416180 >>511416180
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:09:27 PM No.511416075
>>511415880
please explain why logic does not boil down to causality in real life applications.
Replies: >>511416160 >>511416599
Anonymous ID: ua/xAL2GChile
7/26/2025, 3:10:46 PM No.511416160
>>511416075
Third party factors

Like cogs, they could work at unison, or fly all over the place
Replies: >>511416473
Anonymous ID: K0X1NOkhAustralia
7/26/2025, 3:11:01 PM No.511416180
>>511416022
>>511416022
even if I take this as true, knowing that doesn’t help me. I can’t handle it anymore, i am constantly thinking an heroing.
What is the purpose of building, contributing, advancing while I am keep getting humiliated beyond belief. I am in constant mental anguish..
Replies: >>511416388 >>511416759
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:14:46 PM No.511416388
>>511416180
i go to work to make money to advance my goal of living in the woods with no cell phone reception. only you can figure out what your goal is. once you decide, then work for it. i too have given up on modern women. i have not given up on myself.
Replies: >>511416759
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:15:58 PM No.511416473
>>511416160
causality takes into account third party actors, you can overcomplicate anything if you want to, but everything necessary is not complex.
Replies: >>511417835
Anonymous ID: yhPV6YQ/Spain
7/26/2025, 3:17:28 PM No.511416567
I knew this thread was going to be full of illiterate retard niggers with 75 IQ. No surprise.
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:17:55 PM No.511416599
cringepepe
cringepepe
md5: 5faa155d0b5b230a5a476503804254ee🔍
>>511416075
>please explain why logic does not boil down to causality in real life applications.
I bet you're fat and stupid. But if I turned out to be wrong, it would be because you're not fat, or you're not stupid. Explain how causality is involved in this application of one of De Morgan's laws.
Replies: >>511417001 >>511417573
Anonymous ID: 1qjLIpwtUnited States
7/26/2025, 3:19:51 PM No.511416728
>>511415406
peak teenage pseudery
Anonymous ID: K0X1NOkhAustralia
7/26/2025, 3:20:25 PM No.511416759
>>511416180
sorry for all the mistakes I make with grammar, punctuation, capitalization etc. but I really can’t care about almost anything anymore.
>>511416388
I wish you the best and honestly I feel disgusted with myself for thinking this much about sex while there are a lot more concerning matters in 21st century(like the potential of super majority of the men kind getting enslaved under a tech dystopia governed by sadistic fucks and absolutely losing their free will). But my sex drive is off the charts and I just can’t stop feeling inescapably cucked. It is killing my soul and/or sanity.
Anonymous ID: IT/Y0KdeRussian Federation
7/26/2025, 3:22:44 PM No.511416895
1571311346760
1571311346760
md5: bc858c404dd52a440aec16356811fa68🔍
>>511412927 (OP)
Math logic, to be precise.
Anonymous ID: Np1AKpmkCanada
7/26/2025, 3:23:15 PM No.511416933
>>511414024
That's a custom from your countries though moshe
Replies: >>511423327
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:24:27 PM No.511417001
>>511416599
>I bet you're fat and stupid. But if I turned out to be wrong, it would be because you're not fat, or you're not stupid.
the cause of this would be you making assumptions based on incredibly minimal evidence along the lines of "people who post on 4chan are fat, people who post on 4chan are stupid" and there are examples of both, but there are also examples of smart people posting good arguments and skinny people posting pictures. in essence, you are generating an uninformed ad hominem and hoping it sticks.
Replies: >>511417376 >>511421995
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:30:59 PM No.511417376
>>511417001
>the point
>
>
>
>
...
>your head
Replies: >>511417481
Total Jew hater death ID: Y5URPhU7United States
7/26/2025, 3:31:47 PM No.511417423
Screenshot_20250509_043346_Brave
Screenshot_20250509_043346_Brave
md5: 736b1c8094a320b10169a03706080515🔍
>>511412927 (OP)
Sweden YES!
Replies: >>511426941
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:32:43 PM No.511417481
>>511417376
enlighten me of my folly
Replies: >>511417573
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:34:05 PM No.511417573
>>511417481
See >>511416599
>application of one of De Morgan's laws
Maybe you should google what that is and see if you understand my post better afterwards.
Replies: >>511417590
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:34:20 PM No.511417590
>>511417573
~(p ∧ q) ≡ ~p ∨ ~q
Replies: >>511417721 >>511417726 >>511418734
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:36:25 PM No.511417721
>>511417590
Good. Now explain what that purely logical relationship, which is readily applicable IRL (as in my example) has to do with causality,
Replies: >>511417873
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:36:30 PM No.511417726
>>511417590
isn't this useful, formal logic is a fucking joke and yes, I have studied it. go hang out with betrand russel, write the principia mathematica, prove 1+1=2 on page 1XX of volume 2, and then get btfo by Kurt Gödel's incompleteness theorem.
Replies: >>511417873
Anonymous ID: AlBhAtk9United States
7/26/2025, 3:36:48 PM No.511417741
>>511415681
Dumbass, causality involves the operations of logic.
Replies: >>511417807
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:38:00 PM No.511417807
>>511417741
bingo, that's what I am arguing about, however causality ends up being way more practically useful. formal logic is as useful in day to day life as non-euclidian geometry.
Replies: >>511418734
Anonymous ID: ua/xAL2GChile
7/26/2025, 3:38:24 PM No.511417835
>>511416473
I disagree am one of those infinity complexity guys, had to deal with to many chaotic factors each time
Replies: >>511418062
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:39:00 PM No.511417873
>>511417726
>Kurt Gödel's incompleteness theorem.
Laughable turbo-pseud. Still waiting for you to address >>511417721
Replies: >>511418062
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:42:13 PM No.511418062
>>511417835
>infinity complexity guys
so just give up because you can't know anything. utility is what interests me at this point in my life
>>511417873
causality involves logic, I am not denying that, it's fundamental to causality, but the formal discipline of logic isn't necessary to understand simple concepts like supply and demand, influence of shareholders, and numerous other simple realities which dictate elements of our existence and quality of life. the most interesting thing I learned in my logic class was when my professor would say "the exception proves the rule"
Replies: >>511418183 >>511418804
Anonymous ID: qcNmI5CKGermany
7/26/2025, 3:43:57 PM No.511418158
>>511415406
>follow the manual
oh the ironing
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:44:20 PM No.511418183
>>511418062
>causality involves logic
That's not what I asked you about at all.

>logic isn't necessary to understand capitaloon propaganda
You got that right.
Replies: >>511418267
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:45:32 PM No.511418267
>>511418183
>That's not what I asked you about at all.
yeah you are giving me a random homework assignment
Replies: >>511418373
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:47:16 PM No.511418373
>>511418267
Just reflect on the fact that you said sucking fucking retarded. Logic is not derived from causality. Going only by causality, loads of true conclusions would be lost on you.
Replies: >>511418741
Anonymous ID: AlBhAtk9United States
7/26/2025, 3:52:28 PM No.511418734
48786
48786
md5: 742d3d76a39bc7f8a18d3c00f05cf819🔍
>>511417590
>he represents negation with ~ instead of ¬
At least we can agree that the tribar represents logical equivalence.
>>511417807
If you want to make the best use of causality with all its nuances, you need some familiarity with its associated logical operations. It helps to understand which side of material implication represents a sufficient condition, and which a necessary condition.
Replies: >>511420770
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:52:34 PM No.511418741
>>511418373
>The complement of the union of two sets is the same as the intersection of their complements
>The complement of the intersection of two sets is the same as the union of their complements
holy shit this is why Wittgenstein went to natural language philosophy
translated "the stuff that isn't in two containers is the same as the stuff that isn't in the two containers when you put the stuff that isn't in the two containers together." truly profound.
Replies: >>511418812
Anonymous ID: ua/xAL2GChile
7/26/2025, 3:53:42 PM No.511418804
>>511418062
I don't give up I just disregard determinism

Look like this in practice

Vote third party
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 3:53:46 PM No.511418812
>>511418741
Just reflect on the fact that you said sucking fucking retarded. Logic is not derived from causality. Going only by causality, loads of true conclusions would be lost on you.
>b-b-but deriving useful logical conclusions isn't """profound"""
Actually end your own life tonight, you inbred 80 IQ cretin.
Replies: >>511418924
Anonymous ID: cR0YiyWYGermany
7/26/2025, 3:53:56 PM No.511418823
LOLGIC
LOLGIC
md5: 5dae3a164d5ca27d1a0b363ed6b9a48f🔍
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:55:20 PM No.511418924
>>511418812
explain how
>the stuff that isn't in two containers is the same as the stuff that isn't in the two containers when you put the stuff that isn't in the two containers together
is an incorrect translation of the logical statement to natural language
Replies: >>511419194
Anonymous ID: vhShDmgLUnited States
7/26/2025, 3:59:38 PM No.511419163
you're just huffing your own farts and pretending you're very smart while talking about obvious stuff that you translated into retarded symbols and complex language so you can circlejerk with other people who are doing the same thing. you might as well be acting like your knowledge of pokemon cards or warhammer 40k sets you apart from the "pseuds" as you put it.
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:00:06 PM No.511419194
>>511418924
I don't care about your schizobabble. I'm just reminding you again that causality alone isn't even to derive even some of the simplest logical conclusions.
Replies: >>511419219 >>511419279 >>511419423
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:00:37 PM No.511419219
>>511419194
isn't enough*
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:01:29 PM No.511419279
>>511419194
the stuff that isn't in the bucket is the same as the stuff that isn't in the bucket! holy shit! (the cause of this is the stuff not being in the bucket lol)
Replies: >>511419460 >>511419790
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:04:11 PM No.511419423
>>511419194
oh hey, do the sets described account for duplicate entries? because wouldn't the union of the sets be different than the two sets on their own if duplicate entries were discarded in the union of the sets?
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:04:46 PM No.511419460
>>511419279
You legit sound mentally ill but the point still stands that causality alone doesn't support even basic reasoning.
Replies: >>511419505
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:05:33 PM No.511419505
>>511419460
i mean like isn't there a difference if both sets contain the number 1 and then when you join them there is only 1 1 but when they were two discrete sets there were 2 1s?
Replies: >>511419556
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:06:17 PM No.511419556
>>511419505
Unironically take your meds. I'm not paying any attention to your incoherent rambling. Nothing you say changes the simple fact that causality alone doesn't support even basic reasoning.
Replies: >>511419607
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:07:01 PM No.511419607
>>511419556
without causality there can be no reasoning your larping dipshit
Replies: >>511419790 >>511419915
Anonymous ID: AlBhAtk9United States
7/26/2025, 4:09:43 PM No.511419790
>>511419279
>>511419607
Ginger, what do you even mean when you say "causality"? Because logic is how you model causality. If you are attributing causality to some external phenomenon, you are essentially describing a logical relationship that obtains in reality. I don't see what you're going on about, setting up a false dilemma between logic and causality when one contains the other.
Replies: >>511420159
Anonymous ID: sYWPrMlSUnited States
7/26/2025, 4:10:46 PM No.511419856
1711135203794785
1711135203794785
md5: dbb2583e2454b3e420740e8b8d8155a7🔍
Logic is for geek autists with low libido and low T. The end result of muh logic is technology worship and sterility. Sex, love, eros, whatever you want to call it will always be the gaping blind spot of geeks. Hey geek "logical" autists in this thread you are not superior to anyone by castrating yourself and decoupling from a selfish, violent, tribal, passionate, sexual, "irrational" consciousness. You are SO LOGICAL that you are on a basket weaving forum having pedantic philosophical debates while western civilization is getting raped into a third world shithole by literal orc niggers while scheming jew goblins ramp up your humiliation. Total geek death. You are not smart. You just rebrand your impotence as intelligence and call it "logic" and "rationality".
Replies: >>511419967 >>511420051
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:11:54 PM No.511419915
>>511419607
>without causality there can be no reasoning your larping dipshit
Notice how your schizophrenia keeps intensifying. I don't know what this meaningless schizobabble even means, let alone how it's related to any of my posts.
Replies: >>511420159 >>511420223
Anonymous ID: AlBhAtk9United States
7/26/2025, 4:12:45 PM No.511419967
109225
109225
md5: 4d76c8e79db19f39913f59b98dcad565🔍
>>511419856
You're gay and you suck dicks because you can't prove why that's wrong.
Anonymous ID: ZRaAL8WWGermany
7/26/2025, 4:13:17 PM No.511420007
>>511413953
>Formal logic is a mathematical field, you can study it the same way as you can study algebra.
yeah but aristotle didn't do formal logic
he just shitposted with plato
Replies: >>511420261
Anonymous ID: nc0laanZGermany
7/26/2025, 4:13:59 PM No.511420051
>>511419856
The very same geeks are the ones who build the machines and tools for the west to dominate the rest of the world. And know you are “getting raped by orc niggers” because you humiliated and laughed at their face, called them incels and bombarded them with BBC and BBC.
Now the east, who understands the value of its geeks and provides for them, will dominate.
Replies: >>511421102 >>511421169
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:15:34 PM No.511420159
>>511419790
it's called trolling nigger, also I hate retarded systems that waste time. we have a word for useful logic, it's called mathematics. if this thread were titled "study math" i would have been far less successful in rustling jimmies. i have moldova VPN so short circuited he can only fling insults. he's in a thread about logic, arguing that others should learn logic, and can't even form a coherent argument, make a proposition, or establish a causal link. this is more entertaining than anything else I could possibly be doing.
>>511419915
please explain how reasoning could work in a world without causality
Replies: >>511420258
Anonymous ID: nc0laanZGermany
7/26/2025, 4:16:46 PM No.511420223
>>511419915
Since the begging of this discussion you have done nothing but call them names, try to patronize him, and keep asking him questions trying to make him make your own arguments for you. How about you eat a bag of dicks you filthy moldovian nigger
Replies: >>511420290 >>511420304
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:17:29 PM No.511420258
>>511420159
>please explain how reasoning could work in a world without causality
Exactly the same it works currently, but first you need to admit you said something absolutely retarded and you need to apologize for it. I'm not letting you go off on a tangent without first recognizing your mental deficiency.
Replies: >>511420341
Anonymous ID: AlBhAtk9United States
7/26/2025, 4:17:30 PM No.511420261
>>511420007
>"aristotle didn't do formal logic"
>this German has never heard of term logic a.k.a. Aristotelian logic, the key argumentative structure of which is the categorical syllogism outlined in his Prior Analytics
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:17:55 PM No.511420290
>>511420223
maybe moldovans don't have a word for causality, like how jews don't have a word for accountability
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:18:08 PM No.511420304
>>511420223
How about you return to the filthy Middle Eastern shithole you crawled to Europe from, you brown piece of garbage?
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:18:37 PM No.511420341
>>511420258
do you even know what causality means?
Replies: >>511420447
Anonymous ID: 7buaoh2vSweden
7/26/2025, 4:19:17 PM No.511420388
1712313603153090
1712313603153090
md5: 0e61ee4009a0017d83d8bd1d07858f12🔍
>>511412927 (OP)
you can not study logic, nigger
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:20:24 PM No.511420447
>>511420341
We will talk about it once you confirm that you understand why claiming that logic is "just causality" in the real world, was absolutely retarded.
Replies: >>511420560
Anonymous ID: R5v7iKRPUnited States
7/26/2025, 4:21:56 PM No.511420540
1575412736454
1575412736454
md5: 109db3424b10452a9f6d497167d065de🔍
>>511412927 (OP)
DUDE JUST STUDY LOGIC WHILE JEWS EXPLOIT YOU AND NIGGERS MURDER YOU LMAO
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:22:11 PM No.511420560
>>511420447
i will not deny the truth, sorry you are too stupid to understand this concept
Replies: >>511420755
Anonymous ID: L1RmEmTrPoland
7/26/2025, 4:24:40 PM No.511420737
what-hegel-and-marx-have-in-common
what-hegel-and-marx-have-in-common
md5: 07e46997e25c789ae7dd480c50efeada🔍
>>511412927 (OP)
but only dialectical logic, so you can pwn rightoids in internet debates 100% times
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:24:58 PM No.511420755
>>511420560
>i will not deny the truth
Explain what De Morgan's laws map to in terms of causality. By refusing to do so, you are denying your own "truth" (i.e. your mentally retarded assertion that you can't defend).
Replies: >>511421485
Anonymous ID: XtnagR/3United States
7/26/2025, 4:25:10 PM No.511420770
Linux-for-niggers
Linux-for-niggers
md5: a71f6126a033d9f6d96439206edeab9b🔍
>>511418734
I love Tucks, the trans Lunix penguin!
Anonymous ID: sYWPrMlSUnited States
7/26/2025, 4:30:18 PM No.511421102
>>511420051
Kek.
>The east
Oh you mean the asian race? The race that is completely sterilized because they are a bunch of beta geek baby dick autists who are oh so LOGICAL. You can't dominate anything in the long term unless you have what are called "people" who do what is called "having sex" because they are not castrated geek logicians.
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:31:20 PM No.511421169
>>511420051
>The very same geeks are the ones who build the machines and tools for the west to dominate the rest of the world.
The Greeks weren't building anything much. They got BTFO by the Romans who were building things and also didn't give much of a fuck about logic or philosophy.
Anonymous ID: L1RmEmTrPoland
7/26/2025, 4:31:46 PM No.511421197
but in all seriousness, the world doesn't run on logic rather on probabilities

like if a dude in a ski mask is sprinting away from a car with its alarm screaming, he could be late for a masquerade and a random pebble might've nailed the windshield just right. from the logic standpoint the cop can't arrest him, because there's no valid proof he did anything wrong.
Replies: >>511421347 >>511421929
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:34:01 PM No.511421347
>>511421197
>the world doesn't run on logic rather on probabilities
Probabilistic reasoning runs on logic.
Replies: >>511421639
Anonymous ID: sYWPrMlSUnited States
7/26/2025, 4:34:58 PM No.511421405
eva
eva
md5: f083ee5ae5690a31aee5c6604522c702🔍
I'm pretty sure nature just lets geeks jerk themselves off to their "LOGIC" and their "intellectualism" having pointless pedantic debates to keep themselves occupied and appease their ego/vanity. Meanwhile, all of those "illogical" people are doing what is called "having sex" because their consciousness is rooted in libido, instinct and fertility and thus will inherit the future (logically speaking of course).
Replies: >>511421516
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:35:49 PM No.511421485
>>511420755
not (A or B) = (not A) and (not B)
not (A and B) = (not A) or (not B)
are we discussing the difference of the words "or" and "and" as if it is somehow difficult to grasp? you seem fixated on this matter. of course "and" and "or" are different concepts and when describing causality they mean different things. it's almost as if they are different words.
Replies: >>511421577
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:36:15 PM No.511421516
>>511421405
But you are neither doing logic nor having sex.
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:37:08 PM No.511421577
>>511421485
Still waiting for you to explain what either of those laws map into in terms of causality. You literally can't.
Replies: >>511421808
Anonymous ID: L1RmEmTrPoland
7/26/2025, 4:37:59 PM No.511421639
>>511421347
>video games run on electrons
Replies: >>511421765
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:39:51 PM No.511421765
>>511421639
Show me an example of probabilistic reasoning that doesn't depend on logic.
Replies: >>511422506
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:40:22 PM No.511421808
>>511421577
bill and bob did not crash the car
bill or bob did not crash the car
holy shit, or means that either bill or bob crashed the car! but we don't know who!
Replies: >>511421928
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:42:13 PM No.511421928
>>511421808
Notice how you have failed to provide any causal analogue or justification to De Morgan's laws. Your blood pressure is currently rising.
Replies: >>511421975
Anonymous ID: AlBhAtk9United States
7/26/2025, 4:42:13 PM No.511421929
>>511421197
You can reduce probability to two logical cases: certainty or uncertainty. Given the uncertain case, the statistician calculates the probability of event X given condition Y. The statistician examines the variables of the case and compares the null hypothesis—that no relationship exists among the variables / no change has occurred—against the alternative hypothesis, which contradicts the former.

Probabilistic reasoning is highly logical, and even proving stochastic realism requires logic.
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:42:54 PM No.511421975
>>511421928
okay then, explain it to me oh wise one
Replies: >>511422168
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 4:43:12 PM No.511421995
>>511417001
thick as fucking cement
Replies: >>511422149
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:45:19 PM No.511422149
>>511421995
haven't been in a logic class since 2012 m8, just here for the bantz. studied chemistry anyway, now I build houses. 2 bottle of wine hangover is also fueling this shit.
Replies: >>511422252
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:45:34 PM No.511422168
>>511421975
Explain what to you, you absolute fucking retard? The reason you keep spouting schizobabble instead of framing De Morgan's laws causally and proving me wrong, is that there's no way to do it. You can use those laws to logically tie together things that have no tangible relation to each other at all and derive correct conclusions from that aren't implied by causality.
Replies: >>511422241 >>511422749
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:46:42 PM No.511422241
>>511422168
pls provide an example, always happy to learn something new
Replies: >>511422880
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 4:46:52 PM No.511422252
>>511422149
Thanks for sharing with the class. If you don't understand the topic you should learn or fuck off.
Replies: >>511422349
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:48:23 PM No.511422349
>>511422252
maybe I learn by being a contrarian prick, totally open to being wrong and learning something, if there's anyone willing to explain
Replies: >>511422759
Anonymous ID: L1RmEmTrPoland
7/26/2025, 4:50:38 PM No.511422506
>>511421765
that's the whole point. more often than not focusing on logic is a power move, to trap your opponent in syllogisms until they give up. it's not about truth, it's about dragging the convo into a place where only one kind of reasoning is allowed

a neural net trained to distinguish cats from dogs adjusts weights based on probabilities of success, no rules, no logic statements, just statistical optimization
Replies: >>511422725
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:53:10 PM No.511422725
>>511422506
they just want their goofy system to be relevant regardless of utility
Anonymous ID: AlBhAtk9United States
7/26/2025, 4:53:33 PM No.511422749
>>511422168
Using De Morgan's theorem to arrive at a disjunction, you can then perform the rule of implication on that sentence to convert it into a material conditional. E.g.:
>¬(p ∧ q)
>¬p ∨ ¬q (DeM)
>p ¬q (Impl)
Thus, a valid conclusion of "not both p and q" is "if p then not q."
Replies: >>511422807 >>511422987
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 4:53:39 PM No.511422759
>>511422349
Alright I'll explain this exactly once. Logic is *not* equivalent to causality because it has no conception of time. The entirety of first-order logic can be built up from the NAND operator the semantics of which are entirely contained withhin a 3 column, 4 row truth table; i.e. there is no concept of A "causing" B within first order logic. The closest is the concept of material implication, which is is only superficially similar to causation in that you can render statements of the form "if A then B", but the similarity fails because of certain paradoxes such as "if not A then B" holding true if B is false. Building up a logic of causation on top of FOL is a pain in the neck because you first have to build up arithmetic so that you can deal with the concept of time.

tl;dr the only thing logic can and should do is evaluate whether a set of statements are mutually consistent, or not.
Replies: >>511423139 >>511423787 >>511425681
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 4:54:18 PM No.511422807
>>511422749
Material implication is not causation.
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:55:25 PM No.511422880
>>511422241
>pls provide an example
I did. If by some miracle it turns out that you're not far, or you're not stupid, it's not a causal relationship that makes me wrong in calling you fat and stupid but a logical one.
Replies: >>511423139
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 4:56:59 PM No.511422987
>>511422749
If it rains today then you're not a nigger.
Replies: >>511423040 >>511423186
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 4:57:43 PM No.511423040
>>511422987
> it rains
> drop to my knees and thank god
Anonymous ID: lYjncbZGUnited States
7/26/2025, 4:58:09 PM No.511423068
I did study logic. Like mathematics, logic is just a human invention to help us try to understand the way the universe works. It isn't fundamental and it isn't necessarily correct.
Anonymous ID: vhShDmgLUnited States
7/26/2025, 4:59:02 PM No.511423139
>>511422759
bingo. logic is math and computational systems. it is an abstract system which can be useful in real world applications, but for most use cases it ends up as pure knowledge a priori. hence my mention of bertrands lovely pricipia mathematica.
>>511422880
>it's not a causal relationship that makes me wrong in calling you fat and stupid but a logical one.
yes it is, the cause is that you are dumb :)
Replies: >>511423284
Anonymous ID: AlBhAtk9United States
7/26/2025, 4:59:47 PM No.511423186
>>511422987
That's true, and it remains true even if it doesn't rain today.
Replies: >>511423375
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 5:01:09 PM No.511423284
>>511423139
>80 IQ keeps trying to sound "intellectual" while failing to grasp basic reality
Replies: >>511424375
Anonymous ID: i0Yo1DvCUnited States
7/26/2025, 5:01:46 PM No.511423327
>>511416933
>leaf
Anonymous ID: dV67ML2VSweden
7/26/2025, 5:02:28 PM No.511423362
>>511412927 (OP)
Shut the fuck up faggot.
Stop shitting up the board with your retarded takes.
Replies: >>511428332
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 5:02:43 PM No.511423375
>>511423186
Great. Now reflect on what you just said.
Replies: >>511423787
Anonymous ID: eTSpJ320United States
7/26/2025, 5:08:20 PM No.511423732
>>511412927 (OP)
>Study Logic
https://courses.umass.edu/phil110-gmh/MAIN/IHome-5.htm
Should be a required course for all high school students
Replies: >>511425407
Anonymous ID: AlBhAtk9United States
7/26/2025, 5:09:17 PM No.511423787
>>511422759
>certain paradoxes such as "if not A then B" holding true if B is false
This doesn't hold true because if the consequent is false while the antecedent is true, the material conditional is false. That's no paradox, I think you confused it with what happens if A is false in the statement "if A then B."
>>511423375
...that raining today is sufficient for me to not be a nigger, and likewise me not being a nigger is necessary for it to rain today.
Replies: >>511424187 >>511425411
Anonymous ID: JknBXRbdCroatia
7/26/2025, 5:10:32 PM No.511423880
>>511413831
Main point is not being emotional. And carefully examining facts before stating something as true and building logic of of it.
>>511415592
Exibit A.
He wants to belive women fuck dogs and niggers on mass scale. It makes it easier to cope while all data shows interracial marrige black male white female even in muttistan at around 5%. I wont even comment on dogs.

Logic after this can be flawless but it starts from a lie.
Replies: >>511428332
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 5:14:49 PM No.511424187
>>511423787
Causality doesn't enter the picture at any point with the statement I gave you.
Replies: >>511424981
Anonymous ID: MzZvKnetSweden
7/26/2025, 5:16:52 PM No.511424329
1753521708144685
1753521708144685
md5: c665c12c0e221a35371008b3b74e6cc9🔍
>You can't study logic.
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:17:22 PM No.511424375
>>511423284
your decision to frame your proposition in logic is what makes it a logical relationship. your ability to assert that I am fat and stupid as valid comes from a lack of evidence due to the nature of online discourse. you are reducing a situation to a fundamental set of rules which is one dimensional.
Replies: >>511425681
Anonymous ID: 4LxcwJ6qUnited States
7/26/2025, 5:20:06 PM No.511424579
>>511412927 (OP)
https://files.catbox.moe/dht3mf.mp4
Anonymous ID: AlBhAtk9United States
7/26/2025, 5:25:52 PM No.511424981
>>511424187
At this point, we have arrived at the distinction between per se causation and per accidens causation. The former is that which causes its effect by virtue of itself; causation in the truest sense of the word. A per se cause exists simultaneously with its effect, and once it ceases to exist so too does its effect. This can be described by logic in terms of necessary and sufficient conditions.

The kind of temporal causation you say is not possible to model logically is per accidens causation, where something causes its effect by virtue of something that belongs to itself. This is difficult to render in terms of formal logic because generally, the cause can exist before its effect. But causation per accidens isn't causation in the truest sense of the word, because it isn't so much that it *is* the cause as it is that it *contains* the cause.
Replies: >>511425978
Anonymous ID: I2k/338eRussian Federation
7/26/2025, 5:29:44 PM No.511425258
why should I
Anonymous ID: xhGGNP1SBrazil
7/26/2025, 5:29:55 PM No.511425274
>>511413831
You can't study logic like you study other fields but you can train your brain to use it doing math, which is applied logic.
Replies: >>511425538
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 5:31:00 PM No.511425373
matimp
matimp
md5: 32608eca4be33785ba6dd3b6103cc40d🔍
Typo. Meant "not if A then B".

A, ~B (by assumption)
~(A -> B)
~(~A | B)
~(~A)
A
T
Replies: >>511425411 >>511425643 >>511428669 >>511429220
Anonymous ID: eTSpJ320United States
7/26/2025, 5:31:29 PM No.511425407
>>511413831
ahh but you can
see >>511423732
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 5:31:31 PM No.511425411
>>511423787
>>511425373
Replies: >>511425643
Anonymous ID: mUQBA6vhUnited States
7/26/2025, 5:32:46 PM No.511425503
>>511412927 (OP)
>humans are inherently flawed
>believes he can think his way out
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:33:13 PM No.511425538
>>511425274
you can study logic, formal logic is an entire discipline within philosophy and mathematics. it's also a very nice system which becomes too complex to be useful when applied to real life in a meaningful way.
Replies: >>511426796
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 5:34:28 PM No.511425643
>>511425373
>>511425411
And just to tie this back to the point, in our common sensical understanding of causality, we do not infer from fact that the ground is not in fact wet, that rain does not cause the ground to be wet. Causal relationships are assumed to hold good regardless of whether they were effected in a particular case.
Replies: >>511428669 >>511429331
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 5:35:07 PM No.511425681
>>511422759
>Logic is *not* equivalent to causality because it has no conception of time
Yep. This is the bottom line. It's essentially what I was trying to communicate to this retard (>>511424375). Anything you can logically derive about a given state of affairs is just a description of the same state of affairs, not a demonstration of one state of affairs following another, let alone causally. E.g. if he's not fat, then his being stupid but not fat and my being wrong to call him stupid AND fat would be related intrinsically and true simultaneously through De Morgan's law, without time ever coming into play. :^)
Replies: >>511425830 >>511428560
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:37:01 PM No.511425830
>>511425681
so you agree logic is useless for real life considerations and causality has utility as stated in my first post >>511415681 :)
Replies: >>511425940
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 5:38:18 PM No.511425940
>>511425830
Remind me to play Cluedo with you for money.
Replies: >>511426158
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 5:38:59 PM No.511425978
>>511424981
>The kind of temporal causation you say is not possible to model logically
Is every single American on this board actually retarded?
Replies: >>511429220
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:40:57 PM No.511426158
>>511425940
keep forgetting the internet is srs bsns
Anonymous ID: L1RmEmTrPoland
7/26/2025, 5:46:27 PM No.511426796
>>511425538
logic used to be a big deal in math departments before ww2, but now it's been almost entirely delegated to philosophy. despite all the progress, math still runs on that old aristotelian framework (assume A, prove B), but it's not really interested in deep foundational debates/pilpul anymore

inb4 "there are still journals, conferences, and logic groups within math departments", yeah, and if someone moved them to the philosophy department, no one would notice.
Replies: >>511426969 >>511426981 >>511427407
Anonymous ID: SbJxiqI6Sweden
7/26/2025, 5:48:25 PM No.511426941
1732458316253482
1732458316253482
md5: d4c68072cb74da5d066e193910503aa2🔍
>>511417423
America BURGER!
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:48:53 PM No.511426969
>>511426796
logic still exists and is relevant, it's the fundamental basis of circuit design and programming and all kinds of stuff. it really left both the math and the philosophy department and now exists in computer engineering and computer science.
Replies: >>511427047 >>511427272
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 5:49:05 PM No.511426981
>>511426796
Low IQ take. New logic systems are being studied constantly and are actually becoming more relevant thanks to """AI""". Non-classical logics are still analyzed using classical metatheory.
Replies: >>511427047
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:50:03 PM No.511427047
>>511426969
>>511426981
look at that we agreed on something
Anonymous ID: PujzwYEHUnited States
7/26/2025, 5:51:08 PM No.511427127
>>511412927 (OP)
You can't logically state why logic should be studied though
Replies: >>511427234
Anonymous ID: C76/02U/United States
7/26/2025, 5:51:09 PM No.511427128
>>511413831
Not OF*. FOR logical thought you fucking esl faggot.
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:52:36 PM No.511427234
>>511427127
same as the justification for life, life exists to create more life, logic exists to create more logic, pretty much all systems follow this, otherwise they wouldn't exist
Replies: >>511427346
Anonymous ID: L1RmEmTrPoland
7/26/2025, 5:53:14 PM No.511427272
>>511426969
bruv, these days it's just Logic 101, 201, maybe some fuzzy logic if you're into it, and that's about it. before the war, i'm not exaggerating, you'd spend two whole years just learning the foundational terminology before the real logic courses even began.
Replies: >>511427508
Anonymous ID: zF2tcop3United States
7/26/2025, 5:54:26 PM No.511427346
>>511427234
Existence precedes reason otherwise logic wouldn't be necessary because truths would be self-evident.
Replies: >>511427508 >>511429220
Anonymous ID: a4Knt9UPUnited States
7/26/2025, 5:55:12 PM No.511427407
>>511426796
Formal logic is taught as part of “discrete math” available to math and computer science majors
Anonymous ID: vhShDmgLUnited States
7/26/2025, 5:56:43 PM No.511427508
>>511427272
my point of view is that programming languages and circuit design are the modern iteration of formal logical language.
>>511427346
existence precedes everything, nothing can exist without existence
Replies: >>511427827 >>511428182 >>511429220
Anonymous ID: zF2tcop3United States
7/26/2025, 6:01:23 PM No.511427827
>>511427508
Indeed.
So logic in that respect doesn't have any "inherency" to anything other than what is being reasoned with.
Abstractions and their logical deductions formulate conclusions that only lend validity to those particular premises.
But I think that speaks more to the nature of epistemology and its limits than it does about the construction of logical principles.
I don't think humans can ever really derive "certainty" in that respect. Even though interestingly logic leads to approximations that are useful in reality.
Replies: >>511428229
Anonymous ID: L1RmEmTrPoland
7/26/2025, 6:06:24 PM No.511428182
>>511427508
>my point of view is that programming languages and circuit design are the modern iteration of formal logical language
interesting take
Anonymous ID: vhShDmgLUnited States
7/26/2025, 6:07:09 PM No.511428229
>>511427827
that's why I have been autistically screeching about causality being the utilitarian form of logic for real life applications. we find ourselves somewhere in the middle between objective reality and solipsism, get too close to either and you become useless and impractical. logic is the same as math but with slightly different operators and variables/figures. 1 can equal 1 all day in math but there has never been an apple that is perfectly identical to another apple.
Replies: >>511428654
Anonymous ID: /zgyJ3IhCanada
7/26/2025, 6:08:34 PM No.511428332
>>511423362
this is the best thread I found on the board rn
>>511423880
>He wants to belive women fuck dogs and niggers on mass scale.
same anon here, I never claimed they do it on “mass scale” on that reply. but they do depending on how you define “mass scale”
Anonymous ID: LXxQkZKSRussian Federation
7/26/2025, 6:11:50 PM No.511428560
>>511425681
Logic containing casualty is just a subset of math logic (based on material implication). Everything that works with material implication, works with casual relations, by the same rules.
Replies: >>511428669 >>511428873
Anonymous ID: zF2tcop3United States
7/26/2025, 6:13:16 PM No.511428654
>>511428229
I think pulling from Gödel's Incompleteness Theorum here would be helpful because it demonstrates the limits of provability in axiomatic theories.
In that no consistent system of axioms is capable of all truths within its own system.
But this wasn't necessarily a problem becuse it significantly paved the way to discoveries in computation and I believe undefinability theorum.
Given that logic and math are congruent, it should make one wonder what abstractions within a given logical systems has axiomatic assumptions that are given but not true. I.e. the "apriori" problem.
Does further abstractions dilute the integrity of knowledge? Or is knowledge inherent to the conclusions drawn from logical systems?
I personally have no idea.
Replies: >>511429501
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 6:13:28 PM No.511428669
>>511428560
nope
>>511425643
>>511425373
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 6:16:30 PM No.511428873
>>511428560
No amount of pilpul and mental gymnastics refutes the fact that the logical conclusions you can derive about a given, real-world state of affairs need not involve causality and most of them are true a-causally.
Anonymous ID: AlBhAtk9United States
7/26/2025, 6:21:18 PM No.511429220
>>511425373
So your point was that, given B is false, you can prove "A" from "not (if A then B)," and somehow this results in a paradox.
>¬(A -> B), ¬B (premises)
>¬(¬A ∨ B) (Impl)
>¬¬A ∧ ¬B (DeM)
>¬¬A (Simp)
>A (DN)
Where is the paradox? You don't even need to be given that B is false to conclude A. There isn't even a contradiction in premises because you can just as validly infer ¬B from the negated conditional.
>>511425978
From the top: You said logical laws cannot be framed in causal terms because you can make a true sentence using a statement form to create connections between things that, in actuality, have no tangible relation to one another.
We can start with any true sentence (e.g., "I am not a nigger") and just add more disjuncts to it (e.g., "I am not a nigger or it isn't raining today"). But this doesn't create a more powerful sentence; it weakens the statement.
I see what you mean, but the logical form is not irrelevant when determining whether a causal link exists between phenomena in the real world. If there is an interpretation of "if it's raining, then you're not a nigger" where the consequent is false but the antecedent is true, then the statement has been falsified; we can dismiss both per se and per accidens causation between the conditions of raining and being a nigger. I brought up that distinction because, as another user mentioned, logic has no conception of time. But a temporal sequence is not necessary for per se causation; only for most per accidens causation. Therefore, in principle, we can frame certain logical relationships in terms of per se causation. It's just that logic isn't the tool we use to determine the real material truth of a statement.
>>511427346
>>511427508
Essence precedes existence. If there is no potency, no ousia for existence to act upon, then nothing can exist. Before esse, there is to ti en einai, "that by which a thing is what it is."
Replies: >>511429331 >>511429354 >>511429501 >>511429555
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 6:22:57 PM No.511429331
>>511429220
There is a paradox when you equivocate material implication with causation. >>511425643
Anonymous ID: 6Dj5V571Moldova
7/26/2025, 6:23:14 PM No.511429354
>>511429220
> You said logical laws cannot be framed in causal terms
>The kind of temporal causation you say is not possible to model logically
So which one was it?
Anonymous ID: vhShDmgLUnited States
7/26/2025, 6:25:17 PM No.511429501
>>511428654
>Does further abstractions dilute the integrity of knowledge? Or is knowledge inherent to the conclusions drawn from logical systems?
To the first point I would say yes. The example I would use is that of philosophy becoming an exercise in arguing about the definitions of the words being used, e.g. what is a woman. To the second point, logic can not exist without knowledge existing prior to it. You have to have some form of a basis to build an a priori system describing it. That isn't to say the a priori system can't demonstrate that some knowledge is wrong and help you fix it, but logic, like math, is a tool to understand phenomena, not an eternal manual whose pages we occasionally catch a glimpse of.

>>511429220
>Essence precedes existence.
how can essence exist without existing
Replies: >>511429809
Anonymous ID: zF2tcop3United States
7/26/2025, 6:25:53 PM No.511429555
>>511429220
Descartes effectively rejects the idea that essence precedes existence by turning the entire framework on its head.
For him existence isn’t something that follows from some prior essence or potential it’s the starting point itself.
>Cogito, ergo sum.
Existence is self-evident and immediate, needing no prior "whatness" to validate it.
He doesn’t waste time proving that essence exists before we do he proves we exist and only then asks what kind of thing we are.
In doing so he sidelines Aristotelian metaphysics entirely showing that starting with essence is not only unnecessary but epistemologically backwards.
Replies: >>511429987 >>511430011
Anonymous ID: zF2tcop3United States
7/26/2025, 6:29:31 PM No.511429809
>>511429501
Derrida would reject the claim that knowledge must precede logic by deconstructing the assumption of a stable foundation.
For him there is no pure knowledge outside of language, meaning is always deferred and constructed through difference.
What we call “knowledge” only emerges through systems like logic and language; it doesn’t exist beforehand as some raw material. So the idea that logic depends on prior knowledge is a metaphysical illusion, both are co-constituted within a shifting play of signs, not a linear hierarchy.
Replies: >>511429987 >>511430011
Anonymous ID: vhShDmgLUnited States
7/26/2025, 6:32:15 PM No.511429987
>>511429555
exactly what I was talking about, now we are arguing about definitions
>what do you mean by existence?
>>511429809
I would disagree, knowledge is experience, logic is the application of experience to future situations.
Anonymous ID: py1mRcNgUnited Kingdom
7/26/2025, 6:32:35 PM No.511430011
>>511429809
>>511429555
This is word salad m8.