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This is the text of a paper that I was due to present to the American Association for Applied Linguistics in March 2003, as part of a colloquium "Cognitive Linguistics and Second Language Acquisition". In the event I did not attend and the paper was read by the colloquium organiser, Peter Robinson.
I summarised 7 major claims of cognitive linguistics, and for each claim I suggested one or more implications for the study of SLA. The seven claims were:
1. Language is (just) knowledge of words
2. Language is (a) symbolic network (within the total knowledge network)
3. Categories show prototype effects
4. Knowledge of language is declarative
5.The grammar includes the lexicon in a single homogeneous lexico-grammar
6. Meanings are embedded in culture
7. Language is based on usage