7 ideas
14361 | Lewis says indicative conditionals are truth-functional [Lewis, by Jackson] |
Full Idea: Unlike Stalnaker, Lewis holds that indicative conditionals have the truth conditions of material conditionals. | |
From: report of David Lewis (Counterfactuals [1973]) by Frank Jackson - Conditionals 'Further' | |
A reaction: Thus Lewis only uses the possible worlds account for subjunctive conditionals, where Stalnaker uses it for both. Lewis is defending the truth-functional account for the indicative conditionals. |
8434 | In good counterfactuals the consequent holds in world like ours except that the antecedent is true [Lewis, by Horwich] |
Full Idea: According to Lewis, a counterfactual holds when the consequent is true in possible worlds very like our own except for the fact that the antecedent is true. | |
From: report of David Lewis (Counterfactuals [1973]) by Paul Horwich - Lewis's Programme p.213 | |
A reaction: Presumably the world being very like our own would make it unlikely that there would be anything else to cause the consequent, apart from the counterfactual antecedent. |
2798 | Probability of H, given evidence E, is prob(H) x prob(E given H) / prob(E) [Horwich] |
Full Idea: Bayesianism says ideally rational people should have degrees of belief (not all-or-nothing beliefs), corresponding with probability theory. Probability of H, given evidence E, is prob(H) X prob(E given H) / prob(E). | |
From: Paul Horwich (Bayesianism [1992], p.41) |
2799 | Bayes' theorem explains why very surprising predictions have a higher value as evidence [Horwich] |
Full Idea: Bayesianism can explain the fact that in science surprising predictions have greater evidential value, as the equation produces a higher degree of confirmation. | |
From: Paul Horwich (Bayesianism [1992], p.42) |
8406 | Not all explanations are causal, but if a thing can be explained at all, it can be explained causally [Sanford] |
Full Idea: Although not all explanations are causal, anything which can be explained in any way can be explained causally. | |
From: David H. Sanford (Causation [1995], p.79) | |
A reaction: A nice bold claim with which I am in sympathy, but he would have a struggle proving it. Does this imply that causal explanations are basic, or in some way superior? Note that functional explanations would thus have underlying causal explanations. |
8407 | A totality of conditions necessary for an occurrence is usually held to be jointly sufficient for it [Sanford] |
Full Idea: A totality of conditions necessary for an occurrence is jointly sufficient for it. This is a widely held but controversial view, and it is not a logical truth. | |
From: David H. Sanford (Causation [1995], p.82) | |
A reaction: This wouldn't work for an impossible occurrence. What are the necessary conditions to produce a large planet made of uranium? One of them would have to be a naturally impossible necessity. |
9419 | A law of nature is a general axiom of the deductive system that is best for simplicity and strength [Lewis] |
Full Idea: A contingent generalization is a law of nature if and only if it appears as a theorem (or axiom) in each of the true deductive systems that achieves a best combination of simplicity and strength. | |
From: David Lewis (Counterfactuals [1973], 3.3) |