Exam 2 Flashcards
Subset
A collection of objects that is contained within another set
Infinite sets
They contain an infinite number of items
Ex set of real numbers
Can a subset be infinite?
Yes example within the set of real numbers, the subset of integers is infinite
Can there be a finite subset of an infinite set?
Yes, the numbers 22, 23, 24 of natural number subset are a finite subset
The learning problem
Learning infinite sets from finite subsets is impossible without help. And only a certain type of help is actually helpful
Positive evidence
Is evidence about which items are present in the infinite set
Problem with positive evidence
There is no guarantee that we will get the relevant evidence. It might happen, it might not
Negative evidence
Evidence about which items are absent from the infinite set
Benefit of negative evidence
You can eliminate potential infinite set from consideration. You can test hypotheses and over time you find the right one
Learning language is…
The generalisation from a finite subset to an infinite set
Fact 1 of learning language
All human languages can be characterised as an infinite set of sentences
Fact 2 of learning language
The input children receive when learning language is finite. This has to be true because humans learn language in a finite amount of time
Language
Is an infinite set of sentences
Language input
Is a finite set of sentences that is a subset of the infinite set of the language
Fact 3 of learning languages
All children succeed at language acquisition, except for atypical circumstances (diseases, disorders, imprisonment etc)
Positive evidence for language acquisition
Just another name for input and people to speak to (and around) children
Negative evidence for language acquisition
Some sort of response by the parent after a child produces an ungrammatical sentence but crucially not after a grammatical sentence. Forms of explicit disapproval, non sequiturs, repetitions, recasts, questions
Explicit disapproval
Parent says no or shakes head
Non sequiturs
Parent fails to understand child
Repetitions
Parent repeats the child utterance
Recasts
Parent corrects the child utterance
Questions
Parent asks for more info
What do children do with negative evidence?
They ignore or misinterpret it
Fact 4 of learning language
Negative evidence would guarantee that the infinite set can be learned
Fact 5 of learning language
But children don’t make use of negative evidence
Logical problem of language acquisition
Children are able to learn language despite not having evidence to learn it
Conclusions of the 5 facts
We have a paradox. Children learn an infinite set from a finite set, but don’t use the one method (negative evidence) that would help help
Platos problem
How we humans have so much knowledge when the environment provides is so little evidence to help us build that knowledge
Logical problem of language acquisition/poverty of the stimulus
Highlights the fact that the input (the stimulus) is too poor ( impoverished/poverty) to fully specify the knowledge that we learn
Pure nativism
Nativism solution says that human biology solves the problem. All knowledge is innate (present at birth) and we simply brim out that knowledge out as we grow. First solution proposed by Plato to platos problem
Pure empiricism
Denies that there is a problem. It says that all knowledge comes from experience (or the input). We just have to figure out how that happens. This was most strongly advocated by John lock, an English philosopher
Pure nativism and pure empiricism
Are extreme positions. Nobody in modern age of cognitive science believes these are correct. Instead theories in the middle are explored
Modern nativism
Substantial knowledge comes from biology but experience/input still plays an important role
Modern empiricism
Some knowledge comes from biology bit experience/ input plays the most important role
Noam Chomsky and modern nativism
He’s a modern proponent of a nativist approach to language learning.
Modern nativism more
Substantial innate knowledge
Input/experience still plays a role, but less than the role it plays in empiricism
In short children come to the problem with a lot of genetic help, and then use experience to hone in on the correct answer
Modern empiricism more
Minimal innate knowledge
Input/ experience plays the largest role in learning new
In short children come to the table with the ability from experience and use experience to build up all of the complexity of language
Principles
The fact that all languages share certain properties might indicate that those properties are hard wired in some way
Parameter
If parameters were built in, then the learning problem would be simpler: children just need to figure out the right values
The ability to learn complex rules
Phonology, morphology and syntax all seem to be predicated upon complex rules, suggesting that humans have the ability to learn complex rules
The ability to mean phonemes and morphemes
Our memorisation abilities must be powerful enough to learn the phonemes and morphemes of our languages
Set
A collection of objects
Formants
Highest amplitude peaks in the frequency spectrum created by the human vocal tract
Spectrogram
Frequency is in y axis, time is x axis. So each formant shows up as a horizontal bar