2 ms·
There’s an issue with Ben’s logic when it comes to counting the number of players, stemming from a confusion between ordinality and cardinality. He’s correct t
by zacharyvoase 16y ago
There’s an issue with Ben’s logic when it comes to counting the number of players, stemming from a confusion between ordinality and cardinality.
He’s correct that we order things by matching them one-by-one to the natural numbers (so there is such a thing as a 'zeroth' player, if you choose to look at it that way). However, when we count the number of items in a set, we begin by matching it against the empty set—that is our 'zero' in this context.
If the teacher wishes to demonstrate the error in Ben’s thinking, he need simply remove players from the drawing until only one is left—so Ben would say there are zero players in the drawing—and then remove that one.
Number theory isn’t easy, but I think Ben could do with a teacher with a better grasp on it.