Theories Flashcards
what is a set
collection of any entities
fundamental concepts of set
set
membership relation E
irreflexivity of set
no set is a member of itself
anti-symmetry of set
if X E Y, then Y is not E X
6 parts of a theory for Aristotle
- Dom (set of actual entities)
- Enn (concepts)
- fun (-damental concepts)
- def (-initions)
- princ(-iples)
- Thms (Theorems)
Theorems
formed by axioms, postulates & definitions
qualities of propositions in domain
universal, necessary & self-evident
three components new theory
ontology
ennology
nomology
Ontology
descriptions of the entities T is about
ennology
fundamental & defined concepts of T, may include which concepts represent which features
–> relation to observable/ measurable factors
nomology
postulates about how the domain-members behave & relate
Few differences between classical & modern account of theory
- new theory does require connection to observation/ measurable factors (Enn(T) )
- post(T) do not have to be true, can have false theories
- do not need to have explicit axioms for theory T to be applicable
- Post(T) instead of princ (Theta)
Difference principle
D(T1,T2) = denn (T1+T2) + dpost (T1+ T2) + Dont (T1+ T2)
(ennology, postulates, ontology)
If D(T1,T2) = 0, then T1=T2