Tag Archives: independence algebra

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

The definition of a group

You might think that, by contrast to the case of a graph, the definition of a group would be quite clear-cut. Traditionally there are four axioms. A group is a set G with a binary operation • satisfying closure: for … Continue reading

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