some notes on semantics from class today:
This is pretty uncontroversial in the field today, Model Theoretic Semantics. Well, i shouldn't say that; everything is controversial. It's uncontroversial in all reasonable linguistics. [laughter]
we will treat meaning as if it is an object in the world that we talk ABOUT.
meaning is the semantic grammar that maps an expression to a model theoretic object. [little picture of a dotted line between the two.]
sentences are assigned a value of 1 or 0; true or false. there are some who argue that there are actually an infinite range of values, but whether that actually gets you anywhere...
knowing the meaning of a sentences is knowing what conditions it would take to make it true.
meaning is a function that inputs all possible worlds and returns a value of 1 in worlds where the sentence is true.
my rage is limitless.