whocoulditbe?

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Everything posted by whocoulditbe?

  1. Haiku Chain

    whocoulditbe? replied to Stigweard's topic in General Discussion

    Who have ears to hear, Who have hands fit for the task, Think themselves too good.

  2. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    See you. Hope it's nothing too bad.

  3. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    That's not a definition. The pattern S ∩ S = S only has one set, but disjointedness concerns two.

  4. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    All the funnest arguments are the result of a trivial miscommunication! I'm interested to see the strategy even though I think it will turn out to be false A and B are disjoint if A ∩ B = {}. What definition are you using?

  5. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    is true, and {} ∩ {} = {}, i.e. it is disjoint from itself.

  6. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    Thats what ∀ means...

  7. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    I'm saying ∃ isn't enough. You need ∀ to cover A={} B={}. If you prove that, then I'm forced to pick between {} ⊆ {} and {} ∩ {} = {}. For now I maintain that both are true. It now occurs to me that proving ∀A: A ⊆ A => A ∩ A ≠ {} would also be enough to do the trick for what you're arguing.

  8. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    This ^^ is dishonest. Ok. I could kinda guess that "A ⊆ B = 1" just means "A ⊆ B," but I have no idea why you added the "= {1}" on, or if there's any significance to it that I'm missing.

  9. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    I'm just lamenting how wrong I was! I missed your previous correction.

  10. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    You just did ∃A, B: A ⊆ B => A ∩ B ≠ {} again. A ⊆ B = 1 makes no more sense to me. PS, Sorry if I'm being a bit aggressive in my replies. It's kind of fun to be able to talk about math on here.

  11. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    Ahhhhh DisJOINT not Disjunct, I am above the peak!

  12. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    I also have no idea what this means.

  13. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    I should have been more specific: Please show that ∀A, B: A ⊆ B => A ∩ B ≠ {}.

  14. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    Please show that A ⊆ B => A ∩ B ≠ {}.

  15. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    This still makes 0 sense to me. If {not A, not B} means anything at all, it would be a set of both not-As and not-Bs, since {A, B} is a set of both A and B.

  16. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    A fish is a not-shirt, and a not-pants, and a not-glasses, and a not-hat, but I don't walk about the town on fish. Similarly, a shirt isn't a not-shirt, but it's still a not-hat, so it still looks like you're saying shoes are shirts.

  17. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    ... therefore {} ∩ whatever must equal {}, even {} ∩ {}.

  18. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    You mean disjunct. {1, 2} and {2} are non-equal but have {2} as their intersection. Sets are not propositions. They can't be true or false, but you can say true or false things about them. For example, instead of saying "the room was silent," I could say "The set of all sounds in the room was {}," or "部屋に無音があった."

  19. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    The empty set is a set, and an essential one for doing almost anything in set theory. It is also a subset of all sets, just not a member of all sets. It must be a subset of all sets, because B is a subset of A whenever A ∪ B = A, and A ∪ {} must equal A for all A, since there's nothing in {} to add on to A, regardless of what A is. I would say "don't learn set theory from a philosophy website!" but that would be stupid of me, because the SEP has a great intro to it here.

  20. The Grades of Initiation

    whocoulditbe? replied to helpfuldemon's topic in Esoteric and Occult Discussion

    Where did you learn this "not" notation from? I'm not sure what it's supposed to mean. If you're getting at the idea that the empty set {} is 𝕌∁, the complement of the universal set, remember that the universal set doesn't exist. From the page you linked to: This is misleading. Yes, the intersection of two disjoint sets is the empty set, but that doesn't mean that the empty set is a member of every set! The set {1, 2 , 3, {}} has {} as a member, and is distinct from {1, 2, 3}, which does not. {1, 2, 3} and {4, 5, 6} are disjunct, but neither contains the empty set. If you added the empty set to them, the intersection {1, 2, 3, {}} ∩ {4, 5, 6, {}} would be {{}}, not {}, and they would no longer be disjunct. Errata: For disjunct read disjoint

  21. Paintings you like

    whocoulditbe? replied to SirPalomides's topic in The Rabbit Hole

    Giamoco Balla, Dynamism of a Dog on a Leash
  22. @galen_burnett You can link to a specific post using the button.
  23. I often lurk the activity tab, and I don't think there's a way to filter out bad threads. Sorry if it came across like that. Many people's individual posts here bring up interesting and worthwhile ideas, but I can't find any meaningful core thread of thought developing in this thread. I don't think most participants, including myself to be honest, even reached a common understanding of what we were talking about in the first place, probably because your question in the OP was long and thorny.
  24. I have an idea for a thread to start some time, but it's high effort and I'm trying to cut back on internet posting at the moment. In general I think it'd be better if people posted slower and with more effort, but I'm not going to push that ideal on you.

  25. Everyone post some favorite quotes!

    whocoulditbe? replied to GrandTrinity's topic in General Discussion

    "If, good sir, this is what you discern, if this is what you have awakened to, do not lead lay disciples or those gone forth. Do not teach the Dhamma to lay disciples or those gone forth. Do not yearn for lay disciples or those gone forth." – The devil Māra speaking to the Buddha, Brahma-nimantanika Sutta