I feel that some of the statements ponyboy and I have made in this thread have been misconstrued. I observed that there was no unassailable empirical evidence that horses can do arithmetic and you argued that horses are intelligent and have feelings, as though I'd said they weren't and didn't and then you basically drew a dichotomy between people who think horses are "beasts" (me, apparently) and people who think they are sentient, intelligent creatures.
One's ability to do math is not the sole indicator, or any indicator at all really, of intelligence, insofar as it's measurable (it's really not, to be fair).
I think horses are capable of deductive reasoning. Of course they are. "Plastic bags have carrots in them. My owner is holding a plastic bag. Therefore she must have a carrot." I just don't think they know their multiplication tables. So what? Neither do I.