Before a moving object can travel a certain distance, it must travel half that distance. Before it can travel half the distance it must travel 1/4 the distance, etc. This sequence goes on forever. Therefore, it seems that the original distance cannot be traveled, and motion is impossible.
Barber paradox:
A barber in a village shaves everyone who does "not" shave themselves, and no one else. Who shaves the Barber?
that second one is only a paradox b/c od language flaws, right? i heard the proper answer is "follow him around and see", because a Barber is a person (Berber) of a certain extraction, whereas a barber is a profession that anyone can hold.
The first one is a puzzler, though. Then again, how many points are in the line of a circle? Sure there are 360 official degrees, but you can always go smaller, so the answer is sideways 8. XD Same for this. There is always a smaller fraction. Which gets into physics, and subatomic matter...and I'm going to stop now before I get mindsquicked by infinity again. It doesn't feel good.
I've heard the "follow him around" as well as "Someone from another town does it" But ya it's a language paradox due to ambiguity.
As for the first one, it falls into place with the arrow paradox and it's funny you mentioned physics cause I'm working on my Ph.D. in astrophysics and the Dichotomy paradox was brought up in one of my classes dealing with the Heisenberg uncertainty principle. Fun stuff though. :)
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timeasmymeasure
no subject
Date: 2010-06-20 04:13 pm (UTC)no subject
Date: 2010-06-20 09:41 pm (UTC)Before a moving object can travel a certain distance, it must travel half that distance. Before it can travel half the distance it must travel 1/4 the distance, etc. This sequence goes on forever. Therefore, it seems that the original distance cannot be traveled, and motion is impossible.
Barber paradox:
A barber in a village shaves everyone who does "not" shave themselves, and no one else. Who shaves the Barber?
no subject
Date: 2010-06-21 08:29 am (UTC)The first one is a puzzler, though. Then again, how many points are in the line of a circle? Sure there are 360 official degrees, but you can always go smaller, so the answer is sideways 8. XD Same for this. There is always a smaller fraction. Which gets into physics, and subatomic matter...and I'm going to stop now before I get mindsquicked by infinity again. It doesn't feel good.
no subject
Date: 2010-06-21 07:08 pm (UTC)As for the first one, it falls into place with the arrow paradox and it's funny you mentioned physics cause I'm working on my Ph.D. in astrophysics and the Dichotomy paradox was brought up in one of my classes dealing with the Heisenberg uncertainty principle. Fun stuff though. :)
*chuckle*
Date: 2010-06-21 08:25 am (UTC)