No, I said (2+2=4 (mod 4)) might not be the same as (2+2=4). I very clearly never said what you claim I'm supposedly "now saying": I said "might not be", never said "is not".
You also said
(2+2=4 (mod 4)) exists, which is not the same as (2+2=4)
So yes, you said it. Do you want to retract that statement now?
YOU claimed (2+2=4) is just another representation of (2+2=0 (mod 4))...
I claimed that 2+2=4 (mod 4) is another representation of 2+2=0 (mod 4). I specified "in Z/4Z" the first time I made my statement, I referred to modular arithmetic the second time, I clarified my statement to the literal same when you asked.
The question I answered referred to 2+2=4 in standard arithmetic(although it took you 5 comments to finally clarify your ambiguous question), which makes it a different question with a different answer.
You're trying to cut out the context, which makes it a misrepresentation of me. Retract and apologize.
(2+2=4 (mod 4)) might be the same statement as (2+2=0 (mod 4)), but not (2+2=4).
So you're now saying that 2+2=4 without further context is not the same statement as 2+2=4 (mod 4)?
Dare I hope you finally saw reason? That you accept that you are not allowed to say "2+2=4" without context and pretend you mean modular arithmetic, and that "2+2=4" is simply true?
(And if you're just going to say the () change the meaning, then you should start off defining your idiosyncratic notation, and by "start off" I mean you should have done it 10 posts ago when you first used it. And then you should retract your argument, since it's a non-sequitur obfuscated by misleading notation.)
Really? Wasn't your entire argument relying on the fact that if the arithmetic wasn't specifically specified, then certain arithmetic was always assumed?
It has been specified beforehand:
in Z/4Z, 2+2=0 and 2+2=4 are the same statement.
If in response you talk about standard arithmetic without clearly denoting it, that's just you communicating badly again, which is why I made you add a clarification.
For the record, when I ask ChatGPT if it's always necessarily the case, it answers "no". It says that's not the case in other arithmetics. Weird that it interprets math like me, not like you.
You can get ChatGPT to tell you all sorts of bullshit, including self-contradictions. It's not an authority for anything.
it's standard arithmetic
That makes it a derail, since we were talking about modular arithmetics. But just for the record, the answer is no then.
It hurts Germany because it stops them from trading with Russia. But it also distances Germany from Russia, and removes leverage Russia has over Germany.
The US isn't primarily interested in Germany's prosperity - only the political effect thereof. A weakened Germany that is firmly on the side of NATO is better for the US than a prosperous Germany that peacefully trades with Russia and doesn't do anything against them.
It's a badly posed question because it's not fully specified, namely, you're not stating where (2+2=4) lives.
Normally this wouldn't be a problem, because we can assume it's the default if not otherwise noted, but a) we'e explicitly discussing multiple number systems here and b) you have already proven you can't be trusted not to omit relevant information.
Your question is ambiguously stated. Normally it wouldn't be, but have earned a reputation of communicating badly. Define whether (2+2=4) in your question is integer arithmetics or (mod 4) (or something else) and I'll answer your question.
It's a badly posed question. You have been weaponizing ambiguity the whole time, I'm not accepting your framework without adding context.
If you want a question answered, state it clearly.
No, there's no interpretation to "X is true".
The OP was definitely talking about "all female or all-Latino trading firms."
OP was talking about undervalued people making their own company. They're all female/minority because that's the reason they're undervalued.
That ain’t happening without selection pressure.
If women are as undervalued as is claimed, the best candidate for a given budget and the cheapest candidate of a given quality will pretty much always be a women. So you don't have commit to only hiring women to end up with all women - it's a natural consequence of optimal behaviour.
Likewise, the “Progressive half” of retail investors would be leaving money on the table if they opted out of the vast majority of the market.
Investors are always opting out of a majority of the market they consider less profitable - profitability just usually isn't as clearly demarcated. The point is that if the claim is true, everyone else is leaving money on the table - so the rational move is to go to the part of the table where the money is lying and pick it up.
Even if you're right, that's a nitpick towards the OP, not a rebuttal. There's still money to be made if you let in the occasional white male who doesn't want more money than he's worth.
“African and/or female investors” have no reason to assume the gains from less-biased hiring outweigh the costs of running a business on idpol.
You don't need to "run on idpol". You can just keep in mind that everyone else undervalues the group, then hire purely on cost/quality, and you'll still end up ahead.
Also you're assuming running on idpol has net costs - in the current environment it seems like it has serious marketing advantages.
Then you'll still get a decent team for much cheaper than usual, and you can used the saved money to get an advantage in other ways or collect the difference in profit.
There is nothing to interpret, it's straightforward math. I'm merely writing it down.
I took the liberty of clarifying my position instead of answering the badly posed question. Naturally modular arithmetics is not the same as integer arithmetics.
"2+2=4" is true in both, only in one 2+2=0 is also true.
No, math is abstract truth. If the application ever becomes an issue, you're looking to apply math to another field.
In any case, the statement in question is a straightforward arithmetic equation. There's no room for interpretation here.
(2+2=4 (mod 4)) and (2+2=0 (mod 4)) is the same statement. If you omit the (mod 4) part, you're merely communicating badly. Again.
Slytherins aren't living in squalor - the dungeon ambience is merely an aesthetic.
I have never heard of a "wealthy villains living in squalor" trope, and I struggle to come up with examples.
Also, even if a trope was originally based in antisemitism, if it since has entered the cultural background, and no longer has a connection to jews, because most people are no longer aware of the origin and it doesn't match their own image of jews, then I'd say it's not antisemitic anymore.
So, according to you, math is a matter of opinion?
I'm not ignoring it, I'm rejecting it has any relevance. Everyone doesn't know a lot of things. This is hardly new or interesting.
But the existence of modular arithmetics doesn't make 2+2=4 incorrect. It merely makes 2+2=0 another representation of the same statement. So "most people" remain correct.
Then explain how that's supposed to be a response to my point, please.
My point being that in Z/4Z, 2+2=0 and 2+2=4 are the same statement. Ergo, 2+2=0 is merely another way to write down what we think. We might not literally think it, but we are thinking an equivalent statement.
And who decides the correctness of my position?
The correctness of your position is a matter of fact. No one decides it, we research it. I have done so and found out it's not correct. If I happened to be wrong about that, there would be convincing counterarguments you could make, proving me wrong. But I notice you're not even trying to argue X anymore.
How is this not the definition of circular reasoning?
It's the definition of a strawman. I have not made the circle of reasoning you describe. I have proven that X is not true, separately.
Ghettoes are just the part of a city where a secluded minority lives. Jews living in ghettos is a historical fact, making it an antisemitic trope is already a stretch.
But all the houses have their own secluded dormitories - this isn't Slytherin-specific, it's Hogwarts-generic, so the ghetto comparison has no leg to stand on. "Dungeon" is just generic evil.
Adult Slytherins, at least the wealthy leaders*, live in manors. Unless "rich and evil" immediately makes you think "Jews" - in which case I suspect you are the antisemite - they should code to snooty aristocrats.
*Also an important distinction. The Malfoys are rich, but that's about it - the rank-and-file Slytherins/Death Dealers tend to be thugs.
Corrupted pattern-matching finding antisemitism where there isn't any is a rather big problem, but this is one of the more egregious examples.
Even on this forum, I don't often see people mentioning that IQ differences shouldn't imply differences in moral worth -- which suggests to me that many people here do actually have an unarticulated, possibly subconscious, belief that this is the case.
Or perhaps people don't mention it often simply because they consider it uncontroversial, and therefore see no need to repeat it.
It's certainly the case for me - why would I waste time with repeatedly stating it, instead of getting to the meat of the discussion and the actual disagreements? These statements only added if you're worried about being misunderstood otherwise.
In general, it seems fraught to assume that if people don't talk about a certain topic, they must hold a specific position on it - especially a position that is the opposite of a societywide consensus. I rarely see people in here mention that the earth orbits the sun - this hardly suggests they secretly believe in geocentrism.
Trans and hentai are niche genres, so you have to specifically search for them to get the desired result. Searches for ordinary straight porn are scattered over dozens of less specific search terms.
This. No one searches for "straight" or "live-action". People correctly assume it's what they're getting if not specifying something else.
Some possible changes can only be peaceful to the extent that people submit themselves to victimization without complaint.
Then I think we should enable free speech, so the would-be victims can complain.
That's the flipside: Censorship can be weaponized as well, and the only real protection is free speech. And censorship is less likely to protect the victims, because the group that has the power to enforce societal change against them likely also can apply censorship against them.
Women also live longer than men, but that doesn't seem to heavily impact feminist theory.

No, I'm trying to explain what I said, because you keep removing the context:
I said 2+2=4 in standard arithmetic is not the same statement as 2+2=0 (mod 4). I insisted on making this explicit, because it came up on the context of mod 4. And because I suspected you were trying lead me to a contradiction, so I made sure to speak clearly, proofing myself against it.
So if you cut out the important context, and then try to construct a contradiction that doesn't work with the context included, you're misrepresenting me.
Retract and apologize.
(Assuming here you meant to write 4 instead of 0, but otherwise it would just be an even worse misquote, so I'm charitably assuming it's a typo.)
I meant "2+2=4", "in Z/4Z" omitted, as in your original setup*. When it's about people's reaction to the statement, formulation is important.
*But in my case it was available from context, whereas in your example it was deliberate misdirection.
People think it's true, while they're denied the context. But given the full context, which changes the meaning, it's still true.
It's also quite peculiar that you're doing what you're accusing me of: I pointed out you were contradicting yourself, you tried to weasel away, and when I nailed you down, you tried to ignore it. Do you stand by the statement
?
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