01004nam0 22002651i 450 UON0011393620231205102648.35320020107d1974 |0itac50 bajpnJP|||| 1||||1960 nen 5 gatsu 19 nichiHidaka RokuroTokyoIwanami shoten1974279 p.18 cm001UON000003292001 Iwanami Shinsho (Aoi han)[verde]210 TokyoIwanami Shoten.395JPTōkyōUONL000031GIA SERIEGIAPPONE - SERIEAHIDAKA RokuroUONV040388635463Iwanami shotenUONV246463650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00113936SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI GIA SERIE 014 (395) SI SA 1836 7 (395) 1960 nen 5 gatsu 19 nichi1308847UNIOR05413nam 22006615 450 991092101410332120250404222159.09783031728518303172851310.1007/978-3-031-72851-8(CKB)37156281400041(MiAaPQ)EBC31875768(Au-PeEL)EBL31875768(DE-He213)978-3-031-72851-8(OCoLC)1485005345(EXLCZ)993715628140004120250107d2024 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierThe Logic, Philosophy, and History of the Lambda-Calculus Theory and Applications /Levis Zerpa1st ed.Cham, Switzerland :Palgrave Macmillan,[2024]1 online resource (298 pages)History of Analytic Philosophy,2634-60019783031728501 3031728505 Includes bibliographical references and index.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 Analysis of Descartes' Correlation-Hypothesis and Church's Thesis -- 14 Comparative Historical Studies (3): Wittgenstein Anticipation of Church Numerals.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.History of Analytic Philosophy,2634-6001Analysis (Philosophy)LogicLogic, Symbolic and mathematicalComputer scienceAnalytic PhilosophyFormal LogicMathematical Logic and FoundationsTheory of ComputationAnalysis (Philosophy)Logic.Logic, Symbolic and mathematical.Computer science.Analytic Philosophy.Formal Logic.Mathematical Logic and Foundations.Theory of Computation.146.4Zerpa Levis1782313MiAaPQMiAaPQMiAaPQBOOK9910921014103321The Logic, Philosophy, and History of the Lambda-Calculus4308398UNINA