RSM341H1 Lecture Notes - Lecture 10: Possible World, Truth Function
Document Summary
Possible worlds paradigm is an elegant paradigm for creating models of anything. World: collection of propositions that are true in that state of the world: world is possible if: A collection is a set: complies with your assumptions, no contradiction, model makes assumptions about which states of the world are possible, every proposition can be identified with the set of possible worlds at which it is true. Can think of each possible world as a truth function. Can reduce proportional reasoning down to reasoning about sets. Truth function view offers canonical way to create possible worlds model if you can. Worlds that remain form set of states. 011: set of all possible worlds is: becomes: Possible world formulation of newcomb"s paradox without free will: propositions of interest, alien puts 1mm in box, you choose to be modest, possible worlds: Conditional on greed, there is 0 in opaque box. Conditional on modesty, there is 1mm in opaque box.
