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Basic Concepts and Symbolization in Monadic Predicate Logic: Workbook 4 (Logic Self-Taught Workbooks)
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- Like personal trainers, the Workbooks offer a practical and empathic approach to introductory logic. They are designed for beginners and for anyone who wants to build confidence by doing more exercises. Workbook 4 helps you learn how to:symbolize various types of propositions in (monadic) predicate logic:singular propositions (e.g. If Romeo is a lover then he is not nasty)categorical propositions (including propositions of the form “Only S’s are P”)negations of categorical propositionscategorical propositions with complex subjects and complex predicatestruth-functionally complex propositions with quantified propositions as components.There are numerous exercises whose difficulty increases gradually. The point is to train your logic muscles until they become strong enough to carry heavy-weight content. The study is aided by many examples worked out step by step, warnings of common errors, as well as complete solutions to all exercises.Workbook 4 focuses exclusively on monadic predicate logic. Workbook 6 considers the more general relational predicate logic. Whenever I use the term ‘predicate logic’ without a qualifier, I mean monadic predicate logic. I use the term ‘quantifier logic’ for the more general relational predicate logic.Logic Self-Taught Workbooks are based on the insight that understanding logic is not sufficient for learning logic, just as understanding how to swim is not sufficient for learning to swim and understanding the grammar of a foreign language is not sufficient for learning that language. You need to practice and take an active part in self-teaching. Through systematic work with the Workbooks, you will build self-confidence. You can learn logic, even its hardest parts.ContentsUnit 4.1 The Basics of Predicate LogicA. Limitations of Propositional LogicB. Simple Singular and Quantified PropositionsC. Internally and Externally Complex PropositionsD. Externally Complex PropositionsUnit 4.2 Categorical PropositionsA. Four Types of Categorical PropositionsB. Symbolization of Categorical PropositionsC. Quantifier Scope, Free and Bound VariablesD. Universe of Discourse again (Don’t Skip!)E. Only S’s are PF. Limitations of Propositional LogicUnit 4.3 Negations of Quantified Propositions A. Quantifiers and NegationB. Negated Quantifier EquivalencesC. Negated Categorical PropositionsUnit 4.4. Complex Subjects and Complex PredicatesA. A-type Propositions with Complex Subjects and PredicatesB. I-type Propositions with Complex Subjects and PredicatesC. O-type Propositions with Complex Subjects and PredicatesD. E-type Propositions with Complex Subjects and PredicatesE. “Only” Propositions with Complex Subjects and PredicatesF. Further ExercisesUnit 4.5. Complex SymbolizationsA. Externally Complex Categorical PropositionsB. “Only Some”C. Further ExercisesSolutions to Exercises
| Publisher | Independently published |
| Publication date | 8 Mar. 2024 |
| Language | English |
| Print length | 159 pages |
| ISBN-13 | 979-8884182844 |
| Item weight | 481 g |
| Dimensions | 21.59 x 0.91 x 27.94 cm |
| Book 4 of 5 | Logic Self-Taught Workbooks |
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