Essay On Zeno's Tortoise

Zeno, was a Greek philosopher and mathematician born in 495 B.C.E. He devised several “paradoxes” of motion and one of those being the paradox of “Achilles and the Tortoise”.This paradox involves a race between Achilles, a swift Greek warrior, as well as a slow and lowly tortoise who has a head start. Zeno argues that Achilles will never be able to catch up to the tortoise no matter how fast he runs. To catch the tortoise, he must cover the distance of the headstart that the tortoise had initially received. In theory, this tortoise will have moved ahead from its own previous starting point to a new point. Achilles will then have to arrive at the point of where the tortoise was previously, only to discover that the tortoise will again haved moved ahead to a new point; and this repeats until the end of the race. Zeno maintains that the series is never ending and that

With Zeno’s paradox, the problem was quite basic but it is a historic definition of an infinite geometric series. Zeno made the conclusion that when an infinite amount of numbers are added up that they equal to infinity and even though his argument may have a little truth to it, it is in fact wrong. With the mortgages, this is a circumstance that takes place in the present day. As both of these series’ had a finite sum they are both related in terms of being a converging geometric

The unrealistic guidelines in the race (constant speed assumptions, tortoise going 0.8 m/s)

Formula created for the mortgage may be too specific and may not apply to everyone; everyone does not have the same mortgage

Some changes and improvements that can be made may include:

Exploring more complex topics

Give more realistic aspects to the race to let it be more