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Slot machines

Slot machines. And possible worlds!. Proposition: Something that can be true or false. Alternative definition for proposition: A set of worlds. C: This set of worlds. S: This set of worlds. C ∧ S: The intersection of C and S. Yet another definition for proposition:

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Slot machines

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  1. Slot machines And possible worlds!

  2. Proposition: Something that can be true or false

  3. Alternative definition for proposition: A set of worlds

  4. C: This set of worlds

  5. S: This set of worlds

  6. C ∧ S: The intersection of C and S

  7. Yet another definition for proposition: A function that maps worlds to truth values

  8. Stalnaker (1978): You presuppose propositions (qua functions from worlds to truth-values) Something is presupposed if it is in the common ground, i.e. the context set. But the context set is not a set of propositions; It is a set of possible worlds. According to Stalnaker, a proposition is presupposed if it is true in every world in the context set (maps every world to T).

  9. A dialogue What did you get?

  10. Total ignorance: every world is in the context set

  11. Dialogue, cont’d What did you get? I got all the same color!

  12. Context set = C

  13. Dialogue, cont’d What did you get? I got all the same color! I got all the same shape, too!

  14. Context set = intersection between C and S

  15. Along comes Mr. Pig… What did you get?

  16. Total ignorance: every world is in the context set

  17. Why is this dialogue infelicitous? What did you get? I got all the same shape, too!

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