I'm slowly going through some topos theory papers by Lawvere. In almost every paper, there are many small sayings and sometimes entire sentences which I do not understand and have never explicitly seen in books. I feel like understanding these is essential to gain insight into the workings of toposes.

A typical example (from the paper Quantifiers and sheaves) is the axiom of choice as 0-dimensionality geometrically.

Should I ask about several such pharses in a single question or actually write up a separate one each time?