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computational theory
What is the goal of the computation, why is it appropriate, and what is the logic of the strategy by which it can be carried out? input and output.
representation and algorithm
how can this computational theory be implemented? in particular, what is the representation for the input and output, and what is the algorithm for the transformation? step-by-step process.
computational example
input: two numbers; output: the product of those two numbers
algorithmic example
14 X 11; 14(10 + 1); (14x10)(14x1); 140 + 14 = 154
hardware example
your brain, pen, and paper
syntactic structures (Chomsky 1957)
how to characterize what makes some sentences grammatical, but not others?
ungrammatical but felicitous
what did alice cut the onions and BLANK with a knife?
ungrammatical and infelicitous
furiously sleep ideas green colorless
Sternberg (1969)
how do we access the information in our memory? applied the subtraction method
parallel search
look at memory all at once and answer yes or no
serial self-terminating search
look at each individual memory, end when answer is found
serial exhaustive search
look at each individual memory, answer cannot be conclude until the end
intercept
initial condition for a set of data
RT1
time it takes to press the button when the light comes on. time to perceive the light + time to press the button
RT2
time to takes to press the left button if it comes on, right button if it comes on. time to perceive the light + time to decide + time to press the button
subtraction method
measuring the reaction time for a task that includes that process, then subtracting the reaction time for a similar task that does not include the process
farah et al (1995)
is there a specific module for facial recognition? results found that there was.
broca's and wernicke's area
parts of the brain that are responsible for speech
finite-state machine
an exact formal model for the representation of langauge
a language (in a formal sense)
a set of strings built over a finite alphabet, an fsm only accepts strings in that language
prototype theory
the "best" or "most typical" member of a category
exemplar theory
we make category judgments by comparing a new instance with stored memories for other instances of the category
category
a collection of things regarded as having shared characteristics
hardware implementation
how can the representation and algorithm be realized physically?
phonetics
concrete speech sounds
phonology
abstract organization of sounds
morphology
organization of words
syntax
organization of utterances
semantics
literal meaning of utterances
pragmatics
meaning as part of the discourse
grammaticality
is an utterance well-formed in language x?
felicity
is an utterance sensical in language x?
grammatical and felicitous
alice cut the onions and peppers with a knife
grammatical but infelicitous
colorless green ideas sleep furiously
what is cognitive science?
the study of the mind. how does the mind process and represent information?
components of cognitive science
psychology, philosophy, anthropology, linguistics, computer science, neuroscience
information processing approach
generate testable predictions, measure behavior, analyze results, evaluate with respect to theory
results of Sternberg's study
serial exhaustive search
parallel search response time
constant regardless of set size
serial self-terminating search response time
increase with set size, worse for no
serial exhaustive search response time
increase with set size, same for yes or no
donders (1868)
how long does it take to make a decision?
decision time equation
RT2 - RT1 = (perception time + decision time + press time) - (perception time + press time)
prosopagnosia
face blindness
where is language localized in the brain?
the left hemisphere
aphasia
damage to these areas
broca's aphasia
mostly structure
wernicke's aphasia
mostly meaning
bayes rule
the probability of b given a is equal to the probability of a given b times the probability of b divided by the probability of a
minimal pairs
words that differ by only one phoneme
phonemes
sound categories
unsupervised learning
direct feedback is not provided, language works this way
supervised learning
direct feedback, most formal education works this way
subordinate
more specific
superordinate
more general
concept
characterization of a category
voiced
vocal cords vibrate when sound is produced
voiceless
vocal cords do not vibrate when sound is produced