> He's saying there is some set of n+1 horses, n of which are of the same color.
> This is incorrect because the assumption is that there is a set of n horses, not "if you have n number of horses they are all the same color.
You have this exactly backwards. The assumption you say is not being made is exactly the one that is being made (and is a step that occurs similarly in every inductive proof.)
> This is incorrect because the assumption is that there is a set of n horses, not "if you have n number of horses they are all the same color.
You have this exactly backwards. The assumption you say is not being made is exactly the one that is being made (and is a step that occurs similarly in every inductive proof.)