Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Truth-making without Truth-makers' and 'Homeostasis, Species and Higher Taxa'

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
     Full Idea: The Axiom of Reducibility is self-effacing: if it is true, the ramification it is meant to cope with was pointless to begin with.
     From: Willard Quine (Introduction to Russell's Theory of Types [1967], p.152), quoted by Penelope Maddy - Naturalism in Mathematics I.1
     A reaction: Maddy says the rejection of Reducibility collapsed the ramified theory of types into the simple theory.
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
There are 'conceptual' explanations, with their direction depending on complexity [Schnieder]
     Full Idea: The direction of conceptual explanations seems to be owed to factors of conceptual complexity and primitiveness.
     From: Benjamin Schnieder (Truth-making without Truth-makers [2006], p.33), quoted by David Liggins - Truth-makers and dependence 10.2
     A reaction: Schnieder proposes that there are just 'causal' and 'conceptual' explanations. Liggins objects that there are other types of dependence which offer explanations.
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
The properties of an electron can't be explained just as 'clustering' [Chakravartty on Boyd]
     Full Idea: Boyd's homeostatic mechanisms are not responsible for the co-instantiation of the mass, charge and spin of an electron.
     From: comment on Richard Boyd (Homeostasis, Species and Higher Taxa [1999]) by Anjan Chakravarrty - Inessential Aristotle: Powers without Essences 3
     A reaction: I would have thought that no one has the foggiest idea (unless I have missed something?) about why electrons have those three properties. What is it about electrons that makes them do that? Explanations always run out somewhere. Substratum!
Properties cluster together, either because of intrinsic relations, or because of an underlying process [Boyd, by Chakravartty]
     Full Idea: Boyd analyses 'sociability' between properties in terms of 'homeostasis', as causal relations between properties that favour clustering, or underlying processes that favour coinstantiation, or both.
     From: report of Richard Boyd (Homeostasis, Species and Higher Taxa [1999]) by Anjan Chakravarrty - Inessential Aristotle: Powers without Essences 3
     A reaction: Chakravarty criticises this claim, by Boyd is clearly onto something. If, like me, you think natural kinds are overrated, you have to like his view.