To risk sounding like a smart aleck seven-year-old, technically speaking you can only prove things mathematically. If you need to know that one plus one equals two, don’t go to a chemistry lab. The natural sciences deal with objects and forces that can be observed and measured. Scientists look at the evidence from their experiments and try to come up with a way of thinking about the material world that makes sense.
For example, if I travel around my local area and see nothing but brown cows, then I could try out the statement that “all cows are brown”. I couldn’t prove that all cows are brown. I could never rule out the existence of a different-coloured cow somewhere in the world. Scientific knowledge is always provisional. Continue reading