SLIDE 10 Working through an example
Resulting commitment space development:
⟨ ⟩ ⟨ ⊢ ⟩ ⟨ ⟩ ..., *, C , A, C+A P(d) , *, C , ⟨ ⟨ ⊢ ⟩⟩ B, λx[C+A P(x)], d ⟩, = CD″ B signals a set of options, A should choose one
CD″ + A: A P(d) = ⟨ ⟨ ⟩ ⟨ ⊢ ⟩ ⟨ ⟩ ..., *, C , A, C+A P(d) , *, C , ⟨ ⟨ ⊢ ⟩⟩⟩ B, λx[C+A P(x)], d , ⟨ ⊢ ⟩⟩ A,C+A P(d)
Contrast with answer to bipolar question whether P(d) or P(h):
⟨ ⟩ ..., *,C , ⟨ ⊢ ⊢ ⟩ B, {C} + C+A P(d)+A P(h) ⟩ = CD ⊢ ⟨ ⟨ ⟩ CD + A: A P(d) = ..., *,C , ⟨ ⊢ ⊢ ⟩ B, {C} + C+A P(d)+A P(h) , ⟨ ⊢ ⟩ A, C+A P(d) ⟩
⊢ +A P(d) ⊢ +A P(h)
,
⊢ + A: A P(d) =
√C ⊢ +A P(h) ⊢ +A P(d) ⊢ +A P(d) ⊢ +A P(d)
⊢ + A: A P(d) =
Generalization to other cases
Questions:
⟨ ⟩⟩ ..., *, C + A, to B: Will Donald be president?. = ⟨ ⟨ ⟩⟩ ..., *, C ⊢ + A: B P(d)? ⟨ ⟨ ⟩ = ..., *, C , ⟨ ⋃ ⊢ ⟩ A, {√C} C+B P(d) ⟩ = CD
- CD + R + B: Will DONALD be president?
⟨ ⟨ ⟩ = ..., *, C , ⟨ ⋃ ⊢ ⟩ ⟨ ⟩ A, {√C} C+B P(d) , *, C ⟨ ⟨ ⋃ ⊢ ⟩⟩ B, λx[{C} C P(x)], d ⟩
Optatives:
⟨ ⟩⟩ ..., *, C + A: If only Donald became president! = ⟨ ⟨ ⟩⟩ ..., *, C ⊤ + A: B P(d) ⟨ ⟨ ⟩ = ..., *, C , ⟨ ⊤ ⟩ A, C+B P(d) ⟩ = CD
- CD + R + B: If only DONALD became president?!
⟨ ⟨ ⟩ ⟨ ⊤ ⟩ ⟨ ⟩ = ..., *, C , A, C+B P(d) , *, C , ⟨ ⟨ ⊤ ⟩⟩ B, λx[C+B P(x)], d ⟩
Situations (sketch):
∈ Common ground changes by situational evidence φ assumed to be shared: C + φ = {c C | φ c}
- Take ψ(t) = ‘They are selling strawberries in the current situation s & s is a situation in t ’
⟨ ⟨ ⟩⟩ ..., *, C + ψ(winter) ⟨ ⟨ ⟩ = ..., *, C , C+ψ(winter)⟩ = CD, i.e. ψ(winter) is treated as becoming part of the common ground
- CD + R + A: They sell strawberries in WINTER?!
⟨ ⟨ ⟩ ⟨ ⟩ = ..., *, C , C+ψ(winter), *, C , ⟨ ⟨ ⊢ ⟩⟩ A, λx[C+B ψ(x)], winter ⟩
- A resists accepting non-linguistic, visual evidence for φ(winter),
requests confirmation from addressee, implicating that an alternative would be more likely.