Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'Varieties of Things' and 'The Structure of Science'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


2 ideas

7. Existence / C. Structure of Existence / 2. Reduction
Reduction has been defined as deriving one theory from another by logic and maths [Nagel,E, by Kim]
     Full Idea: Ernest Nagel defines reduction as the possibility of deriving all laws of one theory by logic and mathematics to another theory, with appropriate 'bridging principles' (either definitions, or empirical laws) connecting the expressions of the two theories.
     From: report of Ernest Nagel (The Structure of Science [1961]) by Jaegwon Kim - Philosophy of Mind p.213
     A reaction: This has been labelled as 'weak' reduction, where 'strong' reduction would be identity, as when lightning is reduced to electrical discharge. You reduce x by showing that it is y in disguise.
Reduce by bridge laws (plus property identities?), by elimination, or by reducing talk [Macdonald,C]
     Full Idea: There are four kinds of reduction: the identifying of entities of two theories by means of bridge or correlation laws; the elimination of entities in favour of the other theory; reducing by bridge laws and property identities; and merely reducing talk.
     From: Cynthia Macdonald (Varieties of Things [2005], Ch.3 n5)
     A reaction: [She gives references] The idea of 'bridge laws' I regard with caution. If bridge laws are ceteris paribus, they are not much help, and if they are strict, or necessary, then there must be an underlying reason for that, which is probably elimination.