Have oft wondered re various "ways of knowing"; categories like faith, intuition and science... if the latter can exist without the first two. As an example, we might hear a cat meow behind a couch, and discuss what Felis domesticus is, a few ways to define the species scientifically (testable, falsifiable, hypothetical...); intuitively, having heard cats before, we could assume there was such an animal obscured by the furniture. An example by faith may involve simply believing someone telling you that there is said furball there. Perhaps number theory, quantification is even better to posit: Is there a mathematical proof that there is such a thing as two of something? Do we "take it on faith", or intuit that twice one thing is double? Again, the question I'm raising is the utility of knowing anything based only on science.