"Absolutism: Mathematics is right or wrong, certain, exact and is made
up of facts, skills and fixed methods which are either correctly known or
not.
Relativism: The variety of mathematical sturctures, form and contexts
allow different sorts of analyses, comparisons, evaluations and approaches.
This perspective incorporates a process view of mathematics and admits
multiple problem-solving approaches." (Carré & Ernest,
1993, p.49)
These positions relate to the Dualist / Non-dualist distinction in Ernest (2000). How do these two distinctions relate to the convergence / divergence distinction in Hudson (1966) and in Orton (1992)?
Possible examples of divergence: