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Why does life on Earth use almost exclusively 'left-handed' amino acids and 'right-handed' sugars, when the same basic chemistry could in principle work equally well with the mirror-image molecules, and what process originally broke this molecular symmetry?

Achilles, though ten times faster than a tortoise with a head start, seems logically unable to ever catch it, since by the time he reaches where the tortoise was, it has always moved a little further ahead.

A subway rider who travels at random times notices that trains heading in his preferred direction seem to arrive less often than trains going the other way, even though the timetable runs both directions with exactly equal frequency — how can this be?

Inside an accelerating vehicle, a ball resting on a frictionless floor suddenly starts rolling backward even though nothing visibly pushes it — apparently violating Newton's first law that a body at rest stays at rest unless acted on by a force.

Why does the water pressure, and hence the total force, on the bottom of a container depend only on the height of the water column and the base area — not on the container's shape or the total weight of water inside it — so that a narrow vase can press on its base just as hard as, or harder than, a…