Language and Mathematics : An Interdisciplinary Guide


Marcel. Danesi
Bok Engelsk 2016 · Electronic books.
Annen tittel
Utgitt
Berlin/Boston : : De Gruyter, , 2016.
Omfang
1 online resource (344 p.)
Opplysninger
Description based upon print version of record.. - Contents ; List of figures ; Preface ; 1 Common Ground ; 1.1 Logic ; 1.1.1 Formalism in linguistics and mathematics ; 1.1.2 Syntax ; 1.1.3 Formal analysis ; 1.1.4 The structure of logic ; 1.2 Computation ; 1.2.1 Modeling formal theories ; 1.2.2 Cognitive science. - 1.2.3 Creativity 1.3 Quantification ; 1.3.1 Compression ; 1.3.2 Probability ; 1.4 Neuroscience ; 1.4.1 Neural structure ; 1.4.2 Blending ; 1.5 Common ground ; 2 Logic ; 2.1 Formal mathematics ; 2.1.1 Lógos and mythos ; 2.1.2 Proof. - 2.1.3 Consistency, completeness, and decidability 2.1.4 Non-Euclidean logic ; 2.1.5 Cantorian logic ; 2.1.6 Logic and imagination ; 2.2 Set theory ; 2.2.1 Diagrams ; 2.2.2 Mathematical knowledge ; 2.3 Formal linguistics ; 2.3.1 Transformational-generative grammar. - 2.3.2 Grammar rules 2.3.3 Types of grammar ; 2.3.4 Formal semantics ; 2.4 Cognitive linguistics ; 2.4.1 Conceptual metaphors ; 2.4.2 Challenge to formalism ; 2.5 Formalism, logic, and meaning ; 2.5.1 A Gödelian critique ; 2.5.2 Connecting formalism and cognitivism ; 2.5.3 Overview. - 3 Computation 3.1 Algorithms and models ; 3.1.1 Artificial intelligence ; 3.1.2 Knowledge representation ; 3.1.3 Programs ; 3.2 Computability theory ; 3.2.1 The Traveling Salesman Problem ; 3.2.2 Computability ; 3.3 Computational linguistics ; 3.3.1 Machine Translation. - 3.3.2 Knowledge networks
Emner
Sjanger
Dewey
ISBN
1614515549. - 9781614515548

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