The quickest one will never overtake the slowest one: Zeno’s paradox of Achille and the tortoise
In the paradox of Achilles and the tortoise, imagine Achilles chasing a tortoise. Achilles allows the tortoise a head start of 100 meters, for example. Supposing that each racer starts running at some constant speed (Achille being very fast, at 1m/S, and the tortoise begin very slow, at 0,1m/s). Before Achilles can catch the tortoise, he will have run 100 meters, bringing Achilles where the tortoise started. But during the time he takes to do this, the tortoise has crawled a much shorter distance, but still, the tortoise has moved forward, by 10 meters. So next Achilles must reach this new point. It will take Achilles some further time to run that distance, during which time the tortoise will have advanced a tiny bit further.
And so on to infinity: every time that Achilles reaches the place where the tortoise was, the tortoise has had enough time to get a little bit further, and so Achilles has another run to make, and so Achilles has an infinite number of finite catch-ups to do before he can catch the tortoise, and so, Zeno concludes, he never catches the tortoise.
Be the change that you want to see in the world.
Simplicity, patience, compassion.
These three are your greatest treasures.
Simple in actions and thoughts, you return to the source of being.
Patient with both friends and enemies,
you accord with the way things are.
Compassionate toward yourself,
you reconcile all beings in the world.
Cultivate your intelligence, dear students, but also take care that it does not subordinate itself to everything else, and that the accessory does not become the main one. May your heart not be the fool of your mind. Pascal said: "The heart has its reasons of which reason knows nothing"; yet this deep word is not of absolute accuracy. For if the heart has its reasons, Reason knows them and recognizes itself in them.
The whole work of Reason consists in subordinating Intelligence to the Heart.
The search for something permanent is one of the deepest of the instincts leading men to philosophy. It is derived, no doubt, from love of home and desire for a refuge from danger (...) Philosophers have sought with great persistence, for something not subject to the empire of time.