Re: terminology in definitions of limits

Without getting into discussion of the `game' aspect, I feel category theorists should speak out against the epsilon-delta approach to limits as against the neighbourhood f(M) \subseteq N approach, where the notation easily describes the pictures. The epsilon-delta approach is in terms of measurement of a neighbourhood, i.e. one step away from the neighbourhood, and less actual (I almost wrote `real'!), and students find that step difficult. The utility of epsilon-delta is in terms of calculation, rather than geometry and structure. The `only measurable things are real' approach is based on the notion that numbers are the most important aspect of science, rather than one tool to investigate structure. Ronnie