[Tiresias]

In the paradox of Achilles and the Tortoise, we imagine the Greek hero Achilles in a footrace with the plodding reptile. Because he is such a fast runner, Achilles graciously allows the tortoise a head start of a hundred feet. If we suppose that each racer starts running at some constant speed (one very fast and one very slow), then after some finite time, Achilles will have run a hundred feet, bringing him to the tortoise's starting point; during this time, the tortoise has "run" a (much shorter) distance, say one foot. It will then take Achilles some further period of time to run that distance, in which said period the tortoise will advance farther; and then another period of time to reach this third point, while the tortoise moves ahead. Thus, whenever Achilles reaches somewhere the tortoise has been, he still has farther to go. Therefore, Zeno says, swift Achilles can never overtake the tortoise. Thus, while common sense and common experience would hold that one runner can catch another, according to the above argument, he cannot; this is the paradox.

Is space infinitely divisible? Is time infinitely divisible?

It they are, isn't a centimeter infinitely long, and a second of infinite duration? (Both can be divided into infinite units. However infinitesimal, the sum total of infinite finite units is infinite... I've seen the mathematical refutation; but what's the commonsensical refutation?)

[Spook E]

my head hurts

[JonoMarshall]

Meh... I once got truly mashed and decided that you could never label anything or reach anything because your initial thought of understanding or reactions/decisions (in a more physical sense) were already altered by the passing of time. The conclusion at the time was rather alarming, but felt like life was just one big ride. (That you manipulated through your decisions, but everything was entirely random as your decisions are not your own, or were no longer relevant once time had passed on by.)

Then I decided it was a good time to go and watch the sunrise... time then seemed like a blessing again.

[Rumor]

Let me find that window pane, then get back to you.

[PB2K]

in your scenario it is assumed achilles is a lazy runner and doesnt want to run too much. But if he likes running so much to compete with a tortoise (he must be bored), but he could run so far he will never see the tortoise again in his life. who wins then? It depends on where is the finishline is set.

What do we learn from this paradox? Never compete in anything without rules. It saves you a lot of arguing with a stupid tortoise.