Achilles

The logic manual recalled Zemon and the paradox: “Achilles and turtle race for 10 meters. Achilles runs 2 times faster than a turtle. Achilles moves from the STARTING LINE, and the turtle at the same time moves from already from the fifth meter. The Achilles will reach up to 5 meters as soon as the turtle reaches 3/4 of the distance. When Achilles runs 3/4 of the distance, the turtle will again “escape” him, overcoming 7/8 of the distance. When Achilles reaches this place, the turtle will again be 1/16 of the distance away from him, and so on indefinitely.” Conclusion: Achilles will never catch up with the turtle.

This paradox has been attempted in many ways. Mathematician H. Weyl pointed out that the paradox mistakenly assumes that: space can be divided indefinitely. According to current physics, there are many indications that the space is grainy: composed as if from grains of volume, which cannot be divided indefinitely. There is another mistake on my mind: THE ASSUMPTION that Achilles is taking smaller and smaller steps, the length of which decreases to infinitely small. However, Achilles puts the same steps all the time to overcome 10 meters.

It’s like measuring a 10-meter stretch of 1 METER in such a way that when you take a MEASURE – we reduce the measure scale indefinitely, and we say on the basis that you can never measure those 10 meters.