Inherent knowledge of future events?

I enjoy watching animals of all kinds, because I feel I can glean a bit of knowledge about myself from doing so (and because I just enjoy it). I was watching a jumping spider today, and a mud-dauber wasp was near it. I expected the little spider to jump the wasp, but he made off as quickly as possible and hid. That type wasp paralyses spiders and uses them to feed their young, and the spider seemed to know that. I've also seen other spiders kill other versions of wasps (a yellow-jacket).