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  1. #31
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    Talking Archimedes (287-212 B.C.)

    "The second claim of Archimedes to modernity is also based upon his methods. Anticipating Newton and Leibniz by more than 2000 years he invented integral calculus and in one of his problems anticipated their invention of differential calculus."

    Men of Mathematics Touchstone E.T. Bell

  2. #32
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    Re: Archimedes (287-212 B.C.)

    Quote Originally Posted by theunify View Post
    "The second claim of Archimedes to modernity is also based upon his methods. Anticipating Newton and Leibniz by more than 2000 years he invented integral calculus and in one of his problems anticipated their invention of differential calculus."

    Men of Mathematics Touchstone E.T. Bell
    Yes, maybe, but he forgot to incorporate a rational operator of infinity, which Leibniz did, and only it allowed the integral and differential calculus to function...

    regards,
    "To develop the skill of correct thinking is in the first place to learn what you have to disregard. In order to go on, you have to know what to leave out; this is the essence of effective thinking." Kurt Godel
    "Time and space are modes in which we think and not conditions in which we live." Albert Einstein
    "The uncertainty principle is an absolute, finite, universal constant." L.G.
    "The tick-tick-tick of the caesium atom is a sliding-time-scaler constant of all finite universal motion." L.G.

  3. #33
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    Re: Archimedes (287-212 B.C.)

    I've never heard a rational explanation of infinity, and I never will, that is it's nature.

  4. #34
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    Smile Re: Archimedes (287-212 B.C.)

    Quote Originally Posted by theunify View Post
    I've never heard a rational explanation of infinity, and I never will, that is it's nature.
    Quite right my friend,the only rational explaination for infinity is that it is longer than
    now and shorter than before?


    regards michael.
    Humilty,coupled with boldness,surprises truth to
    reveal herself?

  5. #35
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    Re: Archimedes (287-212 B.C.)

    Quote Originally Posted by theunify View Post
    I've never heard a rational explanation of infinity, and I never will, that is it's nature.
    Pay attention tu, I said a rational operator for infinity, that simply means an extremely high rational number, in place of infinity, which Leibniz used. Pierce and Cantor actually developed the higher order logic and math of true infinity correspondences, in the latter part of the 19th century. Pierce used correspondence graphs to represent numbers. I'm afraid you know nothing about mathematics. That seems to go for physics, as well...

    regards,
    "To develop the skill of correct thinking is in the first place to learn what you have to disregard. In order to go on, you have to know what to leave out; this is the essence of effective thinking." Kurt Godel
    "Time and space are modes in which we think and not conditions in which we live." Albert Einstein
    "The uncertainty principle is an absolute, finite, universal constant." L.G.
    "The tick-tick-tick of the caesium atom is a sliding-time-scaler constant of all finite universal motion." L.G.

  6. #36
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    Re: Archimedes (287-212 B.C.)

    Quote Originally Posted by theunify View Post
    I've never heard a rational explanation of infinity, and I never will, that is it's nature.
    Infinity is what we see when we can't grasp the entirety of something at-once.

    It seems to go on forever.

    But perhaps we just continue to look at the same things, like a spotlight shifting in the darkness.

  7. #37
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    Smile Re: Archimedes (287-212 B.C.)

    Quote Originally Posted by Lloyd Gillespie View Post
    Yes, maybe, but he forgot to incorporate a rational operator of infinity, which Leibniz did, and only it allowed the integral and differential calculus to function...

    regards,
    Care to share that source myfriend, it would go a long way to teach me a few things.

  8. #38
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    Re: Archimedes (287-212 B.C.)

    Quote Originally Posted by theunify View Post
    Care to share that source myfriend, it would go a long way to teach me a few things.
    The main text links are in this article: http://en.wikipedia.org/wiki/Gottfried_Leibniz and this one: http://en.wikipedia.org/wiki/Newton_...us_controversy You'd have to research his works on calculus to uncover what I stated above, although the general summary of his ideas exists in Wikipedia's material. It also mentions Pierce's relational ideas and work. I read the entirety of his calculus when studying Leibniz, long ago. Many of the mathematicians and philosophical mathematicians are mentioned in these two articles, along with much about meta-mathematics, if you follow all the related links...

    regards,
    "To develop the skill of correct thinking is in the first place to learn what you have to disregard. In order to go on, you have to know what to leave out; this is the essence of effective thinking." Kurt Godel
    "Time and space are modes in which we think and not conditions in which we live." Albert Einstein
    "The uncertainty principle is an absolute, finite, universal constant." L.G.
    "The tick-tick-tick of the caesium atom is a sliding-time-scaler constant of all finite universal motion." L.G.

 

 
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