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  • Mathematical Conundrum or Not? Number Four
    ↪MindForged
    Let's cut the game, when you added the word and you changed the sentence.
  • Mathematical Conundrum or Not? Number Four
    ↪andrewk
    Well at this time, that is my conclusion.
  • Mathematical Conundrum or Not? Number Four
    ↪andrewk
    Worried you can't read?
  • Mathematical Conundrum or Not? Number Four
    ↪andrewk
    Can't? Don't know how?
  • Mathematical Conundrum or Not? Number Four
    ↪MindForged


    I find it very interesting you are now calling it a paradox. You realized your mistake.
  • Mathematical Conundrum or Not? Number Four
    ↪MindForged
    Except you had the barber shaving two groups.
  • Mathematical Conundrum or Not? Number Four
    ↪andrewk
    Break it into symbols and you'll have Russell's Paradox. But I need to go to bed.
  • Mathematical Conundrum or Not? Number Four
    ↪MindForged
    There is a huge semantic difference. You are talking about two groups the OP is talking about one.
  • Mathematical Conundrum or Not? Number Four
    That's is literally what I said. My post:

    I'm saying that even as metaphysical dialetheist I do not believe a "barber who shaves all and only those who do not shave themselves" cant exist.
    — Me
    — MindForged

    Are you serious? Your OP:

    The town barber, who is a man, shaves exactly every man in the town who does not shave himself.
    — Jeremiah
    — MindForged


    You added an "and"? It is not "all and"; he shaves " every man in the town who does not shave himself." He does not shave people who shave themselves. That is what creates Russell's Paradox.
  • Mathematical Conundrum or Not? Number Four
    ↪andrewk
    This is exactly Russell's Paradox.
  • Mathematical Conundrum or Not? Number Four
    ↪MindForged
    And that is not the paradox in the OP. Which is my point.
  • Mathematical Conundrum or Not? Number Four
    The set condition is the paradox, it is very important to understand that difference.
  • Mathematical Conundrum or Not? Number Four
    ↪MindForged
    It does not actually say he shaves all. It is every man who does not shave himself, it is a set condition.
  • Mathematical Conundrum or Not? Number Four
    ↪Samuel Lacrampe


    https://en.oxforddictionaries.com/definition/paradox

    You do realize this has been a recognized paradox since 1901?
  • Mathematical Conundrum or Not? Number Four
    ↪Monitor
    Far more often than you.
  • Mathematical Conundrum or Not? Number Four
    ↪MindForged
    The barber can exist, that is not the question. The question is if he shaves himself.
  • Mathematical Conundrum or Not? Number Four
    ↪Monitor


    You are trolling, that's the only reason you even join my threads. You never contribute. You are trying to bait me.
  • Mathematical Conundrum or Not? Number Four
    ↪Samuel Lacrampe
    But the barber is psychically cable of shaving himself or not, our problem is with the group. Does he fit the group, or not? That is where the paradox is, and in the meantime look up the meaning of a paradox.
  • Mathematical Conundrum or Not? Number Four
    ↪Samuel Lacrampe
    I am asking what specifically is impossible. It is an easy enough question. If you can't tell me what is impossible, then how can you say it is impossible?
  • Mathematical Conundrum or Not? Number Four
    ↪Samuel Lacrampe
    What is it you think is impossible?
  • Mathematical Conundrum or Not? Number Four
    ↪Monitor
    It is not even the right application for Occam's Razor.
  • Mathematical Conundrum or Not? Number Four
    ↪fishfry
    If the paradox has been resolved, as you said, then you should be able to fully and clearly answer the question. Unless of course the paradox was never really resolved. . .
  • Mathematical Conundrum or Not? Number Four
    ↪fishfry


    Great, then tell me, does the barber shave himself?
  • The Coin Flip
    Probability and statistics is a useful manmade tool. However, it is not a statement of fact. — wellwisher

    No one here is claiming statistics are facts and in no respectable statistics text book is anyone rightfully claiming statistics are facts. In fact, they teach just the opposite. Everyone here knows statistics are estimating unknown parameters. So, you can put the soapbox away.

    Also, Nature made humans and humans do what is in their nature to do; your division between what is natural and what is "man-made" is subjective and objectively does not exist. And odds are a ratio, it's chance that runs 0 to 1.
  • Mathematical Conundrum or Not? Number Three
    ↪fishfry
    You have no clue what I am even talking about.
  • Mathematical Conundrum or Not? Number Three
    ↪fishfry
    Did you even follow my meaning when I said delta x?
  • Mathematical Conundrum or Not? Number Three
    ↪fishfry


    Yes it did, you are trying to do calculus without a delta x. You are doing it wrong, that is not a paradox just an error.
  • Mathematical Conundrum or Not? Number Three
    ↪fishfry


    Because your understanding of calculus is very poor and incorrect.
  • Mathematical Conundrum or Not? Number Three
    ↪fishfry


    The FTC is the total change F(b) - F(a) equal to the sum of small changes F(x of i) - F(x of i -1) and that is equal to the sum of the areas of rectangles in a Riemann sum approximation for f(x).

    0+0 is not a change in x. You forgot the area slice.
  • Mathematical Conundrum or Not? Number Three
    ↪fishfry
    0+0 is not a change in x.
  • Mathematical Conundrum or Not? Number Three
    ↪andrewk


    We went over this already, when you read the whole thread let me know.
  • Mathematical Conundrum or Not? Number Three
    I plan on posting more of these paradoxes, these are exactly the type of content mathematically incline philosophers should be turning their skills towards. Some will generate a good amount of discussion, while others may not. I can't help that; however, Gabriel's Horn is one of the major paradoxes, it should be in these posts.
  • Mathematical Conundrum or Not? Number Three
    Gabriel's Horn is a mathematical paradox, and, like I said before, this is the math section for discussion of math topics.

    Any mathematician of any sort, and any philosopher with an interests in mathematics, generally finds that interesting. It is definitely worthy of contemplation and discussion. If you can't wrap your head around that notion, then maybe, just maybe you don't belong here.

    Star Trek fans talk about Star Trek, as mathematicians and mathematically incline philosophers talk about math. There is no greater reason beyond that simple fact. Those that want to make it out as if there is some other hidden agenda here are drama seekers.
  • Mathematical Conundrum or Not? Number Three
    ↪Monitor
    Not interested, stay on topic.
  • Mathematical Conundrum or Not? Number Three
    ↪NKBJ


    If you could, would that resolve the paradox?
  • Mathematical Conundrum or Not? Number Three
    ↪andrewk


    I am sorry, but I answered your question, the fact that it went over your head is not something I care about. Now you are dragging this thread off topic, so do you have anything to say about the horn? Can you resolve the paradox?
  • Mathematical Conundrum or Not? Number Three
    ↪andrewk


    You might as well be asking Star Trek fans why they talk about Star Trek.
  • Mathematical Conundrum or Not? Number Three
    ↪andrewk


    I'll give you a hint, it has nothing to do with a platypus.
  • Mathematical Conundrum or Not? Number Three
    ↪andrewk


    Let me know if you figure it out.
  • Mathematical Conundrum or Not? Number Two
    ↪tom
    It really does not matter the discrete being discussed here is really effectively discrete.
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