Combining Texts

Ideas for 'Parmenides', 'A Survey of Metaphysics' and 'Causation'

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3 ideas

10. Modality / B. Possibility / 1. Possibility
It is impossible to reach a valid false conclusion from true premises, so reason itself depends on possibility [Lowe]
     Full Idea: Reasoning itself depends upon a grasp of possibilities, because a valid argument is one in which it is not possible for the conclusion to be false if the premises are true.
     From: E.J. Lowe (A Survey of Metaphysics [2002], p.11)
     A reaction: A very valuable corrective to my pessimistic view of philosophers' attempts to understand metaphysical necessity. But if we can only grasp natural necessity, then all reason is naturalistic.
10. Modality / B. Possibility / 9. Counterfactuals
For true counterfactuals, both antecedent and consequent true is closest to actuality [Lewis]
     Full Idea: A counterfactual is non-vacuously true iff it takes less of a departure from actuality to make the consequent true along with the antecedent than it does to make the antecedent true without the consequent.
     From: David Lewis (Causation [1973], p.197)
     A reaction: Almost every theory proposed by Lewis hangs on the meaning of the word 'close', as used here. If you visited twenty Earth-like worlds (watch Startrek?), it would be a struggle to decide their closeness to ours in rank order.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
We might eliminate 'possible' and 'necessary' in favour of quantification over possible worlds [Lowe]
     Full Idea: It may be possible to eliminate the modal operators (in English, 'is possible' and 'is necessary') in favour of quantifier expressions with variables ranging over possible worlds.
     From: E.J. Lowe (A Survey of Metaphysics [2002], p.121)
     A reaction: Hence 'necessary' becomes 'exists/is true in all possible worlds'. Deep problems, but at least we must show that referring to 'possible' worlds isn't a circular explanation of 'is possible'.