Re: Hamilton's Rule is Xeno's Paradox ( was Re: Underestimating 'r')



John Edser wrote:
In Xeno's Paradox the algebraic constant "time" has
> been deleted as an oversimplification. This reduces the mathematics to
> become entirely, just a relative proposition within which the hare can never
> actually catch up to the tortoise.

Of course it doesn't, you idiot. Zeno thought he had found a paradox
because he did not know how to compute the limit of a convergent sum.
Neither do you, of course. However, he has an excuse - he lived 2,500
years ago. What's yours?

(to compound the problem, you are confusing one of Aesop's fables - The
Hare and The Tortoise - with Aristotle's version of Zeno's paradox (or
one of them) - Achilles and the Tortoise)


.



Relevant Pages

  • Re: Why A Solution To Zenos Paradox Remains Important To
    ... Zeno's Paradox involves an infinite series in time and space. ... time the hare reaches the point where the tortoise was, ... When the hare reaches the new point, ... difference between mathematics and science. ...
    (sci.bio.evolution)
  • Re: Why A Solution To Zenos Paradox Remains Important To Evolutionary
    ... Mathematically, the hare cannot ... catch up and subsequently overtake the tortoise. ... On the contrary, according to standard mathematics, if the hare ... If the paradox could be mathematically resolved ...
    (sci.bio.evolution)
  • Why A Solution To Zenos Paradox Remains Important To Evolutionary
    ... Zeno's Paradox is very ancient but _remains unsolved_. ... The paradox characterizes a proposed race between a tortoise given ... Darwinian evolutionary theory proposes a similar race but this time by ... This simple experiment which can falsify evolutionary ...
    (sci.bio.evolution)
  • Re: Why A Solution To Zenos Paradox Remains Important To Evolutionary
    ... The paradox characterizes a proposed race between a tortoise given ... a head start and a much faster hare. ...
    (sci.bio.evolution)
  • Re: zeno paradox.
    ... zeno's paradox, the arrow in motion is it longer than the one at rest? ... and if we are discussing Achilles and the tortoise please explain how you can have constant speeds as stated in the problem, but non constant speeds required by the solution, as in Achilles never catching the tortoise. ... the problem comes down to can you do an infinite number of steps in a finite time? ...
    (sci.math)

Loading