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Lecture 1

LING 165C Lecture Notes - Lecture 1: If And Only If

Course Code
Dylan Bumford

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1/14/19 Lecture 2
- The model world
- Using world to represent how things could’ve went
- Contains truth value
- Functions(Propositions) that maps the scenario to its truth value, namely true or
- i.e 1 iff john left in w
[ John left ] = w (world) → 0 iff john left in w
- We have sentences, utterances and propositions (mathematically relevant)
- Example
- Since we are incorporating time into our function, we also need to incorporate
time into our model
- Have a continuous timeline inside of our model
- Since a world need always a time to accompany it, we define the pairing called s
More specifically s = (w, i)
where w is the world and i is the time
- Directly Compositional Grammar
- An expression is a triple < [𝞪], C, [𝞪] >
- [𝞪] = sentence
- C: Category
- [𝞪] = denotation
- <S, 𝛕 (extension
)> intension
- Intention takes into account of possibilities, while extension assumes the world is
already known and is set
e.g example for the connective or
- Syncategorematic rule is any time a combination rules introduces a word (and, or)
- Subsentential modes of combination
- Meaning of the sentence is the proposition
- [John Left]
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