Intuition would be another form of knowing that does not depend on the operation of reason (logic) yet does not necessitate a leap (faith). Intuition would just be one aspect of cognition--the way our minds sort perceptions.
Gut thinking. Or, as Colbert would say, determining the '
truthiness' of something, rather than the truth.
While our brain has the capacity for working things out, we also have inbuilt some (usually) very useful pre-set opinions that we may not want to work out. Distrust of strangers (where getting to know them may often prove disastrous) or or the idea that things are inherently solid (because testing if we can run through objects might not be something we want to test).
Edited by Doddy, : fixed link
"Der Mensch kann was er will; er kann aber nicht wollen was er will." (Man can do what he wills but he cannot will what he wills.) - Arthur Schopenhauer
"Science can destroy religion by ignoring it as well as by disproving its tenets. No one ever demonstrated, so far as I am aware, the non-existence of Zeus or Thor - but they have few followers now." - Arthur C. Clarke