Infinity isn't a number, it's a concept. Some infinities are bigger than others. For example, there's an infinite amount of real values between 0 and 1 but there's an even greater infinite amount of real values between 0 and 2.
The letter of the rule, if not the spirit
23 days ago by ora to c/onehundredninetysix
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GalacticSushi 10 points 23 days ago
jjj 14 points 23 days ago
May as well go through the proofs:
First, we need to establish that two infinities are equal in cardinality (aka size) if all their elements can be 1:1 mapped to each other.
So, to go from the reals within [0, 1] and [0, 2], we can multiply by 2. This maps every value within [0, 1] to every value within [0, 2], so these are of the same cardinality.
Where things get interesting is the proof that the reals within [0, 1] are of greater cardinality than every integer.
Say we have an arbitrary mapping from every integer to a real within [0, 1]:
0 -> 0.89236…
1 -> 0.47389…
2 -> 0.84776…
3 -> 0.18790…
4 -> 0.90542…
⋮ ⋱
This list contains every integer, but it does not contain every real number because we can always come up with a new one by ensuring at least one digit is different in each existing real:
0 -> …8… ≠ 9
1 -> …7… ≠ 8
2 -> …7… ≠ 8
3 -> …9… ≠ 0
4 -> …2… ≠ 3
⋮ ⋱
0.98803… is not within the list
Therefore, no 1:1 mapping between the integers and reals exists. Because the limiting factor is the amount of integers, the cardinality of the reals is greater than that of the integers.
Edit: https://en.wikipedia.org/wiki/Cantor's_diagonal_argument
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Most 196 posts are memes, shitposts, cute images, or even just recent things that happened, etc. There is no real theme, but try to avoid posts that are very inflammatory, offensive, very low quality, or very "off topic".
Bigotry is not allowed, this includes (but is not limited to): Homophobia, Transphobia, Racism, Sexism, Abelism, Classism, or discrimination based on things like Ethnicity, Nationality, Language, or Religion.
Avoid shilling for corporations, posting advertisements, or promoting exploitation of workers.
Proselytization, support, or defense of authoritarianism is not welcome. This includes but is not limited to: imperialism, nationalism, genocide denial, ethnic or racial supremacy, fascism, Nazism, Marxism-Leninism, Maoism, etc.
Avoid AI generated content.
Avoid misinformation.
Avoid incomprehensible posts.
No threats or personal attacks.
No spam.
**Moderator Guidelines**
Moderator Guidelines
- Don’t be mean to users. Be gentle or neutral.
- Most moderator actions which have a modlog message should include your username.
- When in doubt about whether or not a user is problematic, send them a DM.
- Don’t waste time debating/arguing with problematic users.
- Assume the best, but don’t tolerate sealioning/just asking questions/concern trolling.
- Ask another mod to take over cases you struggle with, if you get tired, or when things get personal.
- Ask the other mods for advice when things get complicated.
- Share everything you do in the mod matrix, both so several mods aren't unknowingly handling the same issues, but also so you can receive feedback on what you intend to do.
- Don't rush mod actions. If a case doesn't need to be handled right away, consider taking a short break before getting to it. This is to say, cool down and make room for feedback.
- Don’t perform too much moderation in the comments, except if you want a verdict to be public or to ask people to dial a convo down/stop. Single comment warnings are okay.
- Send users concise DMs about verdicts about them, such as bans etc, except in cases where it is clear we don’t want them at all, such as obvious transphobes. No need to notify someone they haven’t been banned of course.
- Explain to a user why their behavior is problematic and how it is distressing others rather than engage with whatever they are saying. Ask them to avoid this in the future and send them packing if they do not comply.
- First warn users, then temp ban them, then finally perma ban them when they break the rules or act inappropriately. Skip steps if necessary.
- Use neutral statements like “this statement can be considered transphobic” rather than “you are being transphobic”.
- No large decisions or actions without community input (polls or meta posts f.ex.).
- Large internal decisions (such as ousting a mod) might require a vote, needing more than 50% of the votes to pass. Also consider asking the community for feedback.
- Remember you are a voluntary moderator. You don’t get paid. Take a break when you need one. Perhaps ask another moderator to step in if necessary.
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