slot machines
DESCRIPTION
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: - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/1.jpg)
Slot machines
And possible worlds!
![Page 2: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/2.jpg)
C S
T T
T F
F T
F F
Proposition: Something that can be true or false
![Page 3: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/3.jpg)
Alternative definition for proposition: A set of worlds
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C: This set of worlds
![Page 5: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/5.jpg)
S: This set of worlds
![Page 6: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/6.jpg)
C ∧ S: The intersection of C and S
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T
F
T
F
Yet another definition for proposition: A function that maps worlds to truth values
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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).
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A dialogue
What did you get?
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Total ignorance: every world is in the context set
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Dialogue, cont’d
What did you get?
I got all the same color!
![Page 12: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/12.jpg)
Context set = C
![Page 13: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/13.jpg)
Dialogue, cont’d
What did you get?
I got all the same color!
I got all the same shape, too!
![Page 14: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/14.jpg)
Context set = intersection between C and S
![Page 15: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/15.jpg)
Along comes Mr. Pig…
What did you get?
![Page 16: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/16.jpg)
Total ignorance: every world is in the context set
![Page 17: Slot machines](https://reader036.vdocuments.mx/reader036/viewer/2022062305/568161af550346895dd17018/html5/thumbnails/17.jpg)
Why is this dialogue infelicitous?
What did you get?
I got all the same shape, too!