Our knowledge in all these enquiries reaches very little farther than our experience.

This quotation expresses Locke's estimation of the capacity for human knowledge. The "enquiries" to which he is referring include all of natural science. Locke's definition of knowledge is extremely strict; he believes one can only be said to know when one perceives a necessary connection. That is to say, I can only know that A caused B if I can deduce from A that B had to happen. To put it another way, looking simply at A I can predict with absolute certainty that B will happen. Short of this sort of understanding, all one is left with is opinion or belief.