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Titlebook: LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science; Andrea Iacona Textbook 2021 The Editor(s) (if applicable) and The

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发表于 2025-3-21 19:33:47 | 显示全部楼层 |阅读模式
书目名称LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science
编辑Andrea Iacona
视频video
概述Suitable for undergraduate introductions to logic and early graduate courses on logic.Presents both detailed technical aspects and philosophical aspects of logic.Lays out the matter by following a pac
丛书名称Springer Undergraduate Texts in Philosophy
图书封面Titlebook: LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science; Andrea Iacona Textbook 2021 The Editor(s) (if applicable) and The
描述This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students.  .This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers,  undergraduates and graduates in mathematics, computer science or related fields in which logic is required. .
出版日期Textbook 2021
关键词Mathematical Logic and Foundations; Propositional Logic; Predicate Logic; Modal Logic; First-Order Logic
版次1
doihttps://doi.org/10.1007/978-3-030-64811-4
isbn_softcover978-3-030-64813-8
isbn_ebook978-3-030-64811-4Series ISSN 2569-8737 Series E-ISSN 2569-8753
issn_series 2569-8737
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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https://doi.org/10.1007/978-3-030-64811-4Mathematical Logic and Foundations; Propositional Logic; Predicate Logic; Modal Logic; First-Order Logic
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Basic Notions,here is one thing on which most definitions agree, it is that logic deals with the principles of correct reasoning. To explain what this means, we will start with some preliminary clarifications about the terms ‘reasoning’, ‘correct’, and ‘principles’.
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发表于 2025-3-22 09:57:23 | 显示全部楼层
The Symbols of Predicate Logic, expressions. .. has a denumerable set of . ., ., .…, which represent singular terms, and a denumerable set of . ., ., .…, which represent predicates. Each predicate letter has . places, for some .. One-place predicate letters represent monadic predicates, that is, predicates that apply to single objects and express properties.
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The Symbols of Propositional Logic,This chapter introduces a propositional language called .. The alphabet of . is constituted by three categories of symbols:
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The Language L,Chapter . introduced the symbols of ., explained their meaning, and illustrated how they can be used to formalize sentences of a natural language. Now it is time to define . in a rigorous way by making fully explicit its syntax and its semantics.
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发表于 2025-3-23 01:53:18 | 显示全部楼层
Logical Consequence in L,As anticipated in Sect. ., there are two ways to characterize a set of valid forms expressible in a language: one is semantic, the other is syntactic.
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The System ,,This chapter outlines a natural deduction system in . called .. As explained in Sect. ., a natural deduction system is constituted by a set of inference rules that are taken to be intuitively correct. Assuming our definition of validity as necessary truth preservation, this is to say that the rules of . necessarily preserve truth.
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