Final Thoughts - Deepstash

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# Final Thoughts

The takeaway is this:

Motion from one place to another is possible, and because of the explicit physical relationship between distance, velocity and time, we can learn exactly how motion occurs in a quantitative sense.

Yes, in order to cover the full distance from one area to another, you have to first cover half that distance, then half the remaining distance, then half, etc.

But the time it takes to do so also halves, so motion over a finite distance always takes a finite amount of time for any object in motion. This is still an interesting exercise for mathematicians and philosophers.

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It’s eminently possible that the time it takes to finish each step will still go down: half the original time, a third of the original time, etc, but that the total journey will take an infinite amount of time.

This is the resolution of the classical “Zeno’s paradox” as commonly stated:

This reasoning is only good enough to show that the total distance you must travel converges to a finite value. It doesn’t tell you anything about how long it takes to reach your destination.

Rate is the amount that one quantity (distance) changes as another quantity (time) changes as well.

How fast does something move? That’s a speed.

The fastest human in the world, according to the Ancient Greek legend, was the heroine Atalanta.

To go from her starting point to her destination, Atalanta must first travel half of the total distance.

Many thinkers, both ancient and contemporary, tried to resolve this paradox by invoking the idea of time.

The oldest “solution” to the paradox was done from a purely mathematical perspective. The claim admits that, sure, there might be an infinite number of jumps that you’d need to take, but each new jump gets smaller and smaller than the previous one. Therefore, as long as you could demonstrate that...

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I have always been interested in the concept of time and time travel, as it is always as mind boggling as it is simple, and this article I found useful to introduce paradoxes which arise as part of time travel.

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