1. Broca's area & Wernicke's area
Speech is an important function controlled by two main regions of the brain, Broca's area and Wernicke's area. Broca's area is in the frontal lobe and is responsible for generating meaningful speech. People who sustain damage in Broca's area are often unable to say anything that makes sense, even though they are able to understand other people. Wernicke's area is necessary for speech recognition. Damage to Wernicke's area results in an inability to comprehend spoken language, a very disabling condition to be sure. Interestingly, the two speech centers are confined to only one side of the brain, typically the dominant left side. This is different than most brain functions which are handled by the analogous brain regions on both sides.

2. Functional Neuroimaging
Functional neuroimaging uses techniques, such as functional magnetic resonance imaging (fMRI), to visualize brain function by visualizing changes in chemical composition of brain areas or changes in the flow of fluids that occur over timespans of seconds to minutes

3. Principle of Compositionally
How do humans manage to stuff an infinite language into their finite brains?
There is a systematic relation between the meaning of the whole and that of its parts

4. Sources of ambiguities
lexical
word sense: bank (river)/bank (finance)
part of speech: plan (noun)/plan (verb)
structural
They are annoying children
((They) (are annoying) (children))
((They) (are) (annoying children))
Scopal
Every student knows two languages
Each student knows two languages. It is not necessary that all students know the same two languages
There are two languages that are known by all students

5. Ambiguity Natural languages are ambiguous, two examples:
I withdrew some money from my bank.
(what bank? river bank? financial bank?)
Sarah called Janet. She …
(who does ‘she’ refer to? Sarah or Janet?)

6. Sources of ambiguities (2)
Pragmatic
Can you pass the salt?
yes/no question
a request
Attachment
The cop saw the man with the binoculars.

7. Local and Global Ambiguities
Local ambiguities
An ambiguity that arises at some local level, but it is resolved at the global level
Global ambiguities
The entire sentence can be analyzed in more than one way
resolution of global ambiguities
context
domain knowledge
statistical information

8. Pronoun Comprehension
Pronouns are one type of ambiguity
Clinton confessed to Gore when he asked for the truth.
Different factors affecting pronoun comprehension
gender
number
person
order of mention
center of attention

9. Truth Table
A truth table is a conventionalized arrangement of all the possible combinations of truth values for the components of a proposition or argument.
A truth table for statement PQ P Q P
PQ 1

10. Boolean Connectives P Q P
PQ
PQ
PQ 1

11. entailment |= is a set of sentences is a sentence example:
{John is a bachelor} entails John is an unmarried adult male.

12. possible worlds semantics
On the possible worlds theory, propositions are identified with sets of possible worlds. A proposition p is true at a possible world w if and only if w is a member of p.
In the framework of possible world semantics, linguistic expressions are assigned extensions "at" possible worlds. Thus, names, n-place predicates and sentences are assigned individuals, sets of n-tuples of individuals, and truth values, respectively, at different possible worlds. Intuitively, possible worlds are to be thought of as "ways things could have been"

13. First Order Logic a model: In this model,
domain = {john, mike, sarah, alice, natalia}
i(man)={john,mike}
i(woman)={sarah,alice, natalia}
i(loves)={(john,sarah),(mike,alice)}
In this model,
Entities are john, mike, sarah, alice, natalia
Predicates are man, woman, and loves

14. First Order Logic (2)
Sentence “Every man loves a woman” can then be translated to:
where
x and y are variables
is universal quantifier, meaning “for all”
is existential quantifier, meaning “there exists”