Xeno's Parodoxes and Peter Lynd

Nobody forced this Xeno guy to assume an infinite amount of subdivisions, he insisted, that's all.

Look where it got him, fame for millenia, ever heard of memes? the most powerful meme isn't the most useful, just the most memorable...

Originally posted by Athenion
Lonemaverick,

I don't see how this resolves the issue. Just because Planck's Length is the smallest measurement we have, doesn't mean that smaller things exist.

For example, couldn't one use 1/2 of planck's length in an equation?

That would be like saying "An inch is the smallest measurement, therefore the shortest distance something can move is one inch".

The planck length is not "the smallest measurement we have," at least not in terms of it being merely the shortest unit of measurement. the Planck length is the shortest distance that it is logical to discuss. Nothing ccan happen across a distance of less than the Planck length.

The fact that a number can be plugged into an equation has no significance regarding the physical reality of that number. Think of irrational numbers, or better yet, imaginary numbers. These too can be plugged into equations, but they don't correspond to any physical length or other physical dimensional terms.

Harte

reply to post by Athenion

The Truth is that everything that does happen in reality is based on mathematical conjecture. Speaking on the first paradox....mathematically you can never go from point A to point B because the space in between is infinite. And this holds true in reality because you never really do reach a final destination...even if it appears that you have. That is all merely your mind interpreting that information it receives. The fact is that you may go to pick a cup up, it may be in your hand and you may be able to drink out of it but you're never physically touching that cup no matter how hard you try. There is always space between to objects no matter how close they are together. So you never do reach your goal, weird huh!