pull down to refresh
I often feel that most of statistics is just the data range you choose. in this footrace paradox, you are choosing the data range that ends before the faster runner catches up. If you graphed it showing time elapsed by distance traveled, time would be a log scale or something (I think -- not a math person) and if you changed the time scale to linear it would be obvious that the faster runner is going to catch up. So, really the problem here is that the question chooses a range which is defined by being before the faster runner catches up.
Well put. It’s imposing a sequence onto a process that is not entirely described by the sequence.
I think I’ll try to write up my thoughts about the paradox at some point because I do think it contains some profound stuff.
Stacker Muse sounds cool, ngl
I like your one sentence formulation better than most ways I've seen it described
That's the only way it struck me as truly unintuitive.
whatttttt???
I have a major soft spot for Zeno's Paradoxes.
I particularly like the framing of the foot race. How can you ever catch up to a slower runner, if every time you get to where they had been, they've moved farther along?