quasi
Posts:
9,092
Registered:
7/15/05
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Re: Cardinality of turning wheel
Posted:
Mar 3, 2013 11:24 PM
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Frederick Williams wrote:
>quasi wrote:
>> netzweltler wrote:
>> >
>> >Meaning, that the notion of infinite speed is nonsense,
>> >right?
>>
>> Well, I surely don't know how to make sense of it (but
>> I'm willing to be educated).
>
>Would it do to say that if a material object moved a non-zero
>distance instantaneously, then it moved with infinite speed?
So let's say a particle starts at x=0 on the x-axis and moves
at infinite speed to the right, arriving "instantaneously" at
x=1. But then it also arrives at x=2 just as instantaneously.
In fact, it arrives at every positive x-value in the same
instant. So what is the position of the particle at time t=0?
And where is the particle at time t=1?
It seems to me that the concept of infinite speed violates the
intuitive notion of time and space -- that is, it goes against
the notion that any given particle at a given time has one and
only location in space. I think that intuitive notion is so
compelling that it should not be abandoned so casually.
Thus, I would forget about infinite speed unless I could be
convinced that the advantages of having such a concept outweigh
the blatant disadvantage of losing our intuitive notions
(essentially axiomatic notions) about time and space.
quasi
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