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This is a paradox (as the category implies).
The bee will be making an infinite series of turns before the biker gets home. We can assign each leg of its flight a number stating from one:
1. B---------->H
2. B<--------H
3. B----->H
and so on.
Since there are an infinity of these short flights, there will be a one to one correspondence between them and the infinity of counting numbers.
To say that at the end of infinity the bee is facing either the biker or the house would be to imply that the last counting number is either even or odd.
Which is of course impossible given that there is no last counting number. |
