1, Zhi Nuo's argument is based on one of his basic viewpoints, that is, "a moving object can only reach its starting point when it has traveled all its distance". Zhi Nuo thinks that although Achilles runs very fast, he must run the distance between him and the tortoise before he can catch up with the tortoise.
2. Zhi Nuo's argument is a typical application of reduction to absurdity. He proved that this conclusion was wrong by assuming that Achilles could catch up with the tortoise, then reasoning according to this conclusion, and finally reaching a contradictory conclusion. This method is often used in mathematics and philosophy, and it is a very effective demonstration method.
3. This paradox has caused many philosophical thoughts and discussions, such as questions about time and space, questions about the nature and laws of motion, questions about logic and reasoning, and so on. Therefore, this paradox is regarded as an important event and difficult problem in the history of philosophy, which has a far-reaching impact on later philosophy and scientific thought.
Relevant knowledge of Zhi Nuo's argument
1, Zhi Nuo's argument, also known as Zeno's paradox, is a series of philosophical questions about motion and infinity put forward by the ancient Greek philosopher Zhi Nuo. These arguments caused extensive discussions and debates in ancient times, and had a far-reaching impact on later philosophy, mathematics and physics.
2. The core point of Zhi Nuo's argument is that motion and infinity are logically contradictory. In his view, a moving object must complete its half-way before completing its full distance; To complete half the journey, you must first complete a quarter of the journey, and so on, endlessly.
3. These arguments posed many challenges to later philosophers and scientists. For example, they must explain why the movement we observe seems to be continuous, while according to Zhi Nuo's argument, the movement seems to be discrete. In addition, they must explain why we can observe infinite processes, such as continuous series or infinite fractions.