• Gregory
    4.6k


    How can a sphere be unbounded?
  • jgill
    3.5k
    How can a sphere be unbounded?Gregory

    Riemann sphere
  • Gregory
    4.6k


    That's an even better example of dialectic than Zeno's paradox. Some thing can have edges but be unbounded. My conclusion is that the law of explosion is wrong.
  • magritte
    553
    We have heard the philosophy that everything flows [eg, Heraclitus]. But, when 'this' becomes 'that,' it traverses something in between, such as when the color yellow becomes red it traverses orangeSaugB

    Everything flows sounds like a metaphor for denying stasis in a dynamic world. All is change would probably be a more useful modern catch phrase. Change encompasses movement and avoids being tied to a continuous model of the world.

    In what you say, the colors are fixed point objects with names. There is really no logical way to go from yellow to orange to red. If you go with physical wavelengths instead, then you can move up and down well beyond what can be seen and the color labels become obviously arbitrary.
  • prothero
    429
    The world is a continuous creative becoming.
    It is static being that is an illusion.
    Objects are merely repetitive patterns or events. Change (process) is the essential nature of reality.
  • Gregory
    4.6k
    It seems to me that flux is tied to the continuous and the discrete is static
  • prothero
    429
    Name one thing that on close examination is "static being"?
  • Gregory
    4.6k


    The only thing that is completely discrete: nothingness
  • prothero
    429
    I do not believe in the "reality" or "realness" of "nothingness" whatever that could mean.
  • Gregory
    4.6k


    It's what the universe resides in and from which it comes. You don't believe anything is discrete?
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