University of David

Come for the pictures; stay for the ideas!!

There are three ‘styles of knowing’:

1. Euclidean: Basic principles are 
clear and precise and consistent
with one another; examples:
Euclidean geometry, classical
mechanics, von Neumann’s
quantum mechanics.
2. Heuristic: Basic principles
are clear and precise but
inconsistent with one another;
examples: chess strategies,
legal systems, expert systems
in A.I. using non-monotonic logic.
3. Intuitive: Basic principles
don’t exist or are ineffable
or tacit. Mastery usually involves
apprenticeship, imitation,
massive practice; examples:
philosophy, mathematics, science,
carpentry, language, chess-
almost all human skills!