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How to Learn Natural Deduction Inference Rules: Conjunction Introduction (Conjunction), Conjunction Elimination (Simplification), Conditional ... 3.1 (Logic Self-Taught Workbooklets)

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  • Workbooklet 3.1 helps to learn three inference rules: Conjunction Introduction (known also as “Conjunction”), Conjunction Elimination (“Simplification”), and Conditional Elimination (“Modus Ponens”). Each rule is introduced on lots of examples. Common errors are identified. For each inference rule, there are numerous and varied exercises on the application of the rule as well as on its use in proofs. The difficulty of the proof exercises increases gradually from so-called baby-proof exercises to actual proof exercises. A supplementary unit 3.B is devoted to complex instances of the rules. Extra exercises provide an opportunity for more training. Solutions to all exercises are included. Workbooklet 3.1 contains Units 3.1 and 3.B from Workbook 3 Extra Full Edition. No prior knowledge of natural deduction is presupposed. Students are required to know the basics of propositional logic (Workbook 1). Logic Self-Taught Workbooklets is a daughter series of Logic Self-Taught Workbooks designed for self-teaching logic.Each Workbooklet contains only one unit (from a Workbook) together with the solutions to the exercises. Workbooklets are directed to those students who have only specific problems or to those who want to train only specific skills. Unlike Workbooks, Workbooklets are not self-contained. They presuppose that students have mastered prerequisite skills. Logic Self-Taught Workbooks are based on the basic insight that understanding logic is not sufficient for learning logic just like understanding how to swim is not sufficient learning to swim and understanding the grammar of a foreign language is not sufficient for learning the language. Students need to practice and to take active part in self-teaching. The workbooks are like personal trainers. They provide lots of examples worked out step-by-step. Common errors are identified. There lots of exercises whose difficulty increases gradually: the point is to train your “logic muscles” until they become strong enough to carry “heavy-weight” content. Solutions are included. Through systematic work, you will build confidence in yourself: you can learn logic, even its hardest parts.
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