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[null,"1.","Record Nr.",null,"UNINA9910921014103321"]
[null,null,"Autore",null,"Zerpa Levis"]
[null,null,"Titolo",null,"The Logic, Philosophy, and History of the Lambda-Calculus : Theory and Applications / / Levis Zerpa"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Palgrave Macmillan, , [2024]"]
[null,null,"ISBN",null,"9783031728518"]
[{"$nulls":4},"3031728513"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (298 pages)"]
[null,null,"Collana",null,"History of Analytic Philosophy, , 2634-6001"]
[null,null,"Disciplina",null,"146.4"]
[null,null,"Soggetti",null,"Analysis (Philosophy)"]
[{"$nulls":4},"Logic"]
[{"$nulls":4},"Logic, Symbolic and mathematical"]
[{"$nulls":4},"Computer science"]
[{"$nulls":4},"Analytic Philosophy"]
[{"$nulls":4},"Formal Logic"]
[{"$nulls":4},"Mathematical Logic and Foundations"]
[{"$nulls":4},"Theory of Computation"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Part I Introduction -- 1 General Introduction and Motivation -- Part II: The Logic and Philosophy of the Lambda-Calculus: Lambda-Philosophy -- 2 Lambda-Philosophy: The General Program -- 3 The λ-Calculus as a Solution to a Problem of Philosophical Analysis -- 4 The λ-Calculus as a Formal System of Symbolic Logic and the Container Notation -- Part III: Two Applications: Arithmetic and Propositional Logic -- 5 The Container Notation in the λ-Calculus (1): Arithmetic -- 6 The Container Notation in the λ-Calculus (2): Propositional Logic -- Part IV: The Philosophy of Computer Science and Computability Theory in Lambda-Philosophy -- 7 Questioning a Dogma of Algorithmic Thinking in Our Time -- Part V: Ontology in Lambda-Philosophy -- 8 The Criterion of Ontological Commitment as a Logical Tester in Ontology -- 9 Church's Ontological Development -- 10 Compiler Output as a Programming Tester in Ontology -- Part VI: The History of The Lambda-Calculus: Three Comparative Studies -- 11 Comparative Historical Studies (0): Introduction -- 12 Comparative Historical Studies (1): Viète's Analytic Art in λ-Philosophy -- 13 Comparative Historical Studies (2): A Brief "]
[{"$nulls":4},"Analysis of Descartes' Correlation-Hypothesis and Church's Thesis -- 14 Comparative Historical Studies (3): Wittgenstein Anticipation of Church Numerals."]
[null,null,null,"Sommario/riassunto","This is the first book focused on the logico-philosophical aspects of the lambda-calculus since the inception of the field in 1932 in the pioneering work of Alonzo Church. The book starts a new field called \"lambda-philosophy\": a branch of logic-based analytic philosophy in the tradition of Frege and Russell, directly constructed from the lambda-calculus. Another innovation of the book is a new graphical and intuitive logico-mathematical notation for the lambda-calculus called \"the container notation\". The book covers in detail some episodes of the history of the subject, including three comparative studies of the lambda-calculus with Viète's algebra, Descartes' analytic geometry, and Wittgenstein's Tractatus. A didactic approach to the logico-mathematical aspects of the lambda-calculus, partially based on cognitive science, provides the technical basis for the analysis. In this way, the book provides a systematic and coherent treatment of diverse logico-philosophical aspects and applications of the lambda-calculus as part of the platform offered by lambda-philosophy. The book includes the following: a detailed treatment of the ambiguities of the concept of function (under the traditional or Euler's notation); an elucidation of the notion of transformative philosophical analysis; an account of Church's methodology which shows that the lambda-calculus is an adequate solution to the problem of a philosophical analysis of functions as rules of computation; a didactic treatment of the formal aspects of the lambda-calculus through the container notation; and diverse arithmetical and logical examples of the container notation. The book questions a dogma of algorithmic thinking by arguing that the lambda-calculus is more intuitive and natural than Turing machines. The Logic, Philosophy, and History of the Lambda-Calculus is essential reading for all scholars and researchers of the history of analytic philosophy and especially those focussing on logic-based analytic philosophy. Levis Zerpa is Researcher-Professor at Yachay Tech University, Ecuador."]