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Recursion and Human Language
7
 
 
Recursion and Human LanguageIn this volume, the issue of recursion is tackled from a variety of angles. Some articles cover formal issues regarding the proper characterization or definition of recursion, while others focus on empirical issues by examining the kinds of structure in languages that suggest recursive mechanism in the grammar. Most articles discuss syntactic phenomena, but several involve morphology, the lexicon and phonology. In addition, we find discussions that involve evolutionary notions and language disorders, and the broader cognitive context of recursion.
 
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Tags: recursion, issues, involve, articles, lexicon
Recursion Theory for Metamathematics
3
 
 

Recursion Theory for MetamathematicsRecursion Theory for Metamathematics

This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
 
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Tags: incompleteness, Godel, theory, topics, related, Recursion, Theory