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  1. #1

    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by rvg View Post
    How is it empirical? Does a number exist in a physical world?
    A number is a quantity, nothing more.
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  2. #2
    master of the pwniverse Member Fragony's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Tellos Athenaios View Post
    A number is a quantity, nothing more.
    A quantity is a quantity, seems like numbers just don't cut it

  3. #3

    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Fragony View Post
    A quantity is a quantity, seems like numbers just don't cut it
    How?
    - Tellos Athenaios
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    ὁ δ᾽ ἠλίθιος ὣσπερ πρόβατον βῆ βῆ λέγων βαδίζει” – Kratinos in Dionysalexandros.

  4. #4
    master of the pwniverse Member Fragony's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Tellos Athenaios View Post
    How?
    From your link, a cube can apparentlty by devided into two cubes, that is not possible yet can be proven mathematically

  5. #5

    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Fragony View Post
    From your link, a cube can apparentlty by devided into two cubes, that is not possible yet can be proven mathematically
    A cube cannot be partitioned in this way, that is exactly what Fermat's Last Theorem states (when considering cubes n = 3, therefore n > 2) and it is mathematically proven to be impossible. I think you misread?
    - Tellos Athenaios
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    ὁ δ᾽ ἠλίθιος ὣσπερ πρόβατον βῆ βῆ λέγων βαδίζει” – Kratinos in Dionysalexandros.

  6. #6
    master of the pwniverse Member Fragony's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Tellos Athenaios View Post
    A cube cannot be partitioned in this way, that is exactly what Fermat's Last Theorem states (when considering cubes n = 3, therefore n > 2) and it is mathematically proven to be impossible. I think you misread?
    Possibly, but I think you misunderstood, read again

  7. #7

    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Fragony View Post
    Possibly, but I think you misunderstood, read again
    Which bit? From "my link":
    It is impossible to separate a cube into two cubes, or a biquadrate into two biquadrates, or in general any power higher than the second into two powers of the like degree; I have discovered a truly remarkable proof which this margin is too small to contain.

    For the "biquadrate" (fourth power) case, Fermat's earlier assertion is sufficient to imply the later one: if two fourth powers cannot sum to a perfect square, they cannot sum to a fourth power either (since any fourth power, say w4, is also a perfect square, namely, the square whose side measures w2). But Fermat was asserting much more. In modern notation Fermat's assertion – known to mathematicians as Fermat's last theorem, or FLT for short – states that the equation xn + yn = zn has no solution if x, y and z all are positive integers and n is a whole number greater than 2.
    - Tellos Athenaios
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    ὁ δ᾽ ἠλίθιος ὣσπερ πρόβατον βῆ βῆ λέγων βαδίζει” – Kratinos in Dionysalexandros.

  8. #8
    Upstanding Member rvg's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Tellos Athenaios View Post
    A number is a quantity, nothing more.
    Where in nature can I find 731?
    "And if the people raise a great howl against my barbarity and cruelty, I will answer that war is war and not popularity seeking. If they want peace, they and their relatives must stop the war." - William Tecumseh Sherman

    “The market, like the Lord, helps those who help themselves. But unlike the Lord, the market does not forgive those who know not what they do.” - Warren Buffett

  9. #9

    Default Re: Another major scientific breakthrough!

    I see it on my screen right here.
    Vitiate Man.

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    The glib replies, the same defeats


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  10. #10
    Upstanding Member rvg's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Montmorency View Post
    I see it on my screen right here.
    Can you weigh it?
    "And if the people raise a great howl against my barbarity and cruelty, I will answer that war is war and not popularity seeking. If they want peace, they and their relatives must stop the war." - William Tecumseh Sherman

    “The market, like the Lord, helps those who help themselves. But unlike the Lord, the market does not forgive those who know not what they do.” - Warren Buffett

  11. #11

    Default Re: Another major scientific breakthrough!

    Some multiple of 9.10938188 × 10^-31 kilograms, presumably.
    Vitiate Man.

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  12. #12
    Upstanding Member rvg's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Montmorency View Post
    Some multiple of 9.10938188 × 10^-31 kilograms, presumably.
    And that's the weight of what?
    "And if the people raise a great howl against my barbarity and cruelty, I will answer that war is war and not popularity seeking. If they want peace, they and their relatives must stop the war." - William Tecumseh Sherman

    “The market, like the Lord, helps those who help themselves. But unlike the Lord, the market does not forgive those who know not what they do.” - Warren Buffett

  13. #13

    Default Re: Another major scientific breakthrough!

    Lies.
    Vitiate Man.

    History repeats the old conceits
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  14. #14
    Guest Member Populus Romanus's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by rvg View Post
    Can you weigh it?
    Weight is irrelevant. The photon, for instance, has no mass at all. Still exists.

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  15. #15
    Upstanding Member rvg's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by Populus Romanus View Post
    Weight is irrelevant. The photon, for instance, has no mass at all. Still exists.
    Love also exists, but it's not an empirical object. Anyway, the idea of numbers being anything but abstract is so stupid, I'm not even gonna discuss it. Next thing I'll be hearing is that the Earth is flat.
    Last edited by rvg; 09-16-2012 at 21:23.
    "And if the people raise a great howl against my barbarity and cruelty, I will answer that war is war and not popularity seeking. If they want peace, they and their relatives must stop the war." - William Tecumseh Sherman

    “The market, like the Lord, helps those who help themselves. But unlike the Lord, the market does not forgive those who know not what they do.” - Warren Buffett

  16. #16
    Voluntary Suspension Voluntary Suspension Philippus Flavius Homovallumus's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by rvg View Post
    Love also exists, but it's not an empirical object. Anyway, the idea of numbers being anything but abstract is so stupid, I'm not even gonna discuss it. Next thing I'll be hearing is that the Earth is flat.
    numbers aren't abstract, they're an abstraction - they are a sign used to represent a concrete reality.
    "If it wears trousers generally I don't pay attention."

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  17. #17
    has a Senior Member HoreTore's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by rvg View Post
    Where in nature can I find 731?
    This is a fundamental misconception of what mathemathics is. An extremely common one, but still fundamentally wrong.

    Mathematics is not abstract. Not in any way whatsoever. One can use abstract thinking to solve problems, like in every other scientific field, but the basis of mathematics will always be the natural world. Numbers exist because they are the names we have given to sizes we find in the world.

    731 is easily found, just buy 731 apples, put them on the table before you and voila.
    Still maintain that crying on the pitch should warrant a 3 match ban

  18. #18
    Upstanding Member rvg's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by HoreTore View Post
    This is a fundamental misconception of what mathemathics is. An extremely common one, but still fundamentally wrong.

    Mathematics is not abstract. Not in any way whatsoever. One can use abstract thinking to solve problems, like in every other scientific field, but the basis of mathematics will always be the natural world. Numbers exist because they are the names we have given to sizes we find in the world.

    731 is easily found, just buy 731 apples, put them on the table before you and voila.
    No, no. I'm not looking for 731 apples, or 731 electrons or 731 widgets.
    I'm looking for 731.
    "And if the people raise a great howl against my barbarity and cruelty, I will answer that war is war and not popularity seeking. If they want peace, they and their relatives must stop the war." - William Tecumseh Sherman

    “The market, like the Lord, helps those who help themselves. But unlike the Lord, the market does not forgive those who know not what they do.” - Warren Buffett

  19. #19
    has a Senior Member HoreTore's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by rvg View Post
    No, no. I'm not looking for 731 apples, or 731 electrons or 731 widgets.
    I'm looking for 731.
    Then you are looking for something different than what mathematicians look for.

    It's like saying astronomy is unscientific because you can't see any stars in your waste basket.
    Still maintain that crying on the pitch should warrant a 3 match ban

  20. #20
    Upstanding Member rvg's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by HoreTore View Post
    Then you are looking for something different than what mathematicians look for.
    I'm sorry, I didn't realize that all this time mathematicians had apples in mind. Thank you for enlightening me.
    "And if the people raise a great howl against my barbarity and cruelty, I will answer that war is war and not popularity seeking. If they want peace, they and their relatives must stop the war." - William Tecumseh Sherman

    “The market, like the Lord, helps those who help themselves. But unlike the Lord, the market does not forgive those who know not what they do.” - Warren Buffett

  21. #21
    has a Senior Member HoreTore's Avatar
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    Default Re: Another major scientific breakthrough!

    Quote Originally Posted by rvg View Post
    I'm sorry, I didn't realize that all this time mathematicians had apples in mind. Thank you for enlightening me.
    No problem!
    Still maintain that crying on the pitch should warrant a 3 match ban

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