The Logic, Philosophy, and History of the Lambda-Calculus (Record no. 66351)
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| fixed length control field | 05484nam a22005655i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-031-72851-8 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20251030114920.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250107s2024 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783031728518 |
| -- | 978-3-031-72851-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-031-72851-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | B808.5.A-Z |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | HPCF5 |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHI039000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | QDHR9 |
| Source | thema |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Zerpa, Levis. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 9 (RLIN) | 90177 |
| 245 14 - TITLE STATEMENT | |
| Title | The Logic, Philosophy, and History of the Lambda-Calculus |
| Medium | [electronic resource] : |
| Remainder of title | Theory and Applications / |
| Statement of responsibility, etc. | by Levis Zerpa. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2024. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer Nature Switzerland : |
| -- | Imprint: Palgrave Macmillan, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2024. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XXXI, 255 p. 10 illus. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | History of Analytic Philosophy, |
| International Standard Serial Number | 2634-6001 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
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| 9 (RLIN) | 71325 |
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| 9 (RLIN) | 66195 |
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| 9 (RLIN) | 67552 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer Nature eBook |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783031728501 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783031728525 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783031728532 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | History of Analytic Philosophy, |
| International Standard Serial Number | 2634-6001 |
| 9 (RLIN) | 71329 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-031-72851-8">https://doi.org/10.1007/978-3-031-72851-8</a> |
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