Not sure. I remember being confused about what a negative number was as a child, but I don’t know where I first heard of them, or when I first perceived their true nature.
What I wanted to do is point out that you found out about integers the same way you found out about everything else, empirically.
But that doesn’t change the fact that statements about integers are (usually) “True or False, in the Real World”, and once you’ve formed the necessary concepts, you don’t need any more sense data to find out new facts about them.
(Edited To Add: I say “usually” just to exclude Grelling-type statements and any other weird cases.)
Not sure. I remember being confused about what a negative number was as a child, but I don’t know where I first heard of them, or when I first perceived their true nature.
What I wanted to do is point out that you found out about integers the same way you found out about everything else, empirically.
But that doesn’t change the fact that statements about integers are (usually) “True or False, in the Real World”, and once you’ve formed the necessary concepts, you don’t need any more sense data to find out new facts about them.
(Edited To Add: I say “usually” just to exclude Grelling-type statements and any other weird cases.)