Tag Archives: axioms

Pseudofields, quasifields, near-domains

Here is a piece of evidence which those who think that mathematics is invented rather than discovered will like. This concerns definitions. I wrote last year about the definitions of a group, a matroid, the real numbers, and primitivity. In … Continue reading

Posted in doing mathematics, exposition, history | Tagged , , , , , | 2 Comments


Time to generalise from the preceding examples. There are several good reasons why a choice of definitions is a good thing. First, as several points in the discussion of graphs suggested, different definitions may be adapted for different kinds of … Continue reading

Posted in exposition, mathematics | Tagged , , , | 3 Comments