This class was created by Brainscape user Damian Mingle. Visit their profile to learn more about the creator.
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Damian Mingle
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- flashcards
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Decks in this class (13)
Introduction to Logic
By the end of this deck, learners will be able to understand the fundamental principles of logic and its significance across various disciplines, distinguish between formal and informal logic, and grasp the essential concepts of arguments, validity, and soundness in logical reasoning
15
cards
Propositional Logic - Syntax and Semantics
By the end of this deck, learners will be proficient in understanding and applying the syntax and semantics of propositional logic. They will be able to accurately use symbols and notation, determine truth values through truth tables, and apply logical connectives (AND, OR, NOT, IF...THEN, IFF) to construct and analyze logical expressions and arguments.
14
cards
Propositional Logic - Formulas and Interpretations
By the end of this deck, learners will be able to identify and construct well-formed formulas (WFFs) in propositional logic, understand and apply the concepts of logical equivalence and tautologies, and analyze the relationships of logical implications and logical consequences within propositional arguments.
10
cards
Propositional Logic - Argument Forms and Validity
By the end of this deck, learners will master identifying various argument forms in propositional logic, accurately test for argument validity using truth tables, and understand the concept of tautological entailment in the context of logical arguments. They will be able to apply these skills to evaluate the soundness and strength of logical arguments effectively.
20
cards
Predicate Logic - Introduction and Terms
By the end of this deck, learners will clearly understand the fundamental differences between propositional and predicate logic. They will be able to identify and use predicates, terms, and quantifiers correctly within logical expressions and understand the concept and significance of the domain of discourse in predicate logic.
20
cards
Predicate Logic - Syntax and Semantics
By the end of this deck, learners will be adept at constructing and recognizing well-formed formulas (WFFs) in predicate logic. They will thoroughly understand the use and implications of universal and existential quantifiers and will be able to accurately determine the scope and binding relationships of variables within logical expressions.
20
cards
Predicate Logic - Formulating Arguments
By the end of this deck, learners will be proficient in translating complex natural language statements into precise predicate logic expressions. They will develop the skills to critically evaluate the structure and validity of arguments formulated in predicate logic and understand the application of logical equivalences to simplify and analyze these arguments effectively.
17
cards
Rules of Inference and Proofs
By the end of this deck, learners will have a solid understanding of the basic rules of inference within propositional logic and their application in various types of proofs. They will be equipped to use these inference rules methodically to construct coherent and logically sound proofs, enhancing their ability to reason and argue within the framework of formal logic.
20
cards
Introduction to Natural Deduction
By the end of this deck, learners will be proficient in applying natural deduction techniques within propositional logic, understand and utilize various derivation rules and strategies, and gain hands-on experience in proving propositions effectively through structured practice.
20
cards
Natural Deduction in Predicate Logic
By the end of this deck, learners will proficiently extend natural deduction techniques to predicate logic, mastering universal and existential instantiation and generalization. They will develop the skill to construct and interpret proofs within predicate logic, deepening their logical reasoning capabilities in a broader context.
20
cards
Introduction to Formal Proof Techniques
By the end of this deck, learners will be proficient in employing key formal proof techniques, including direct proof, proof by contradiction, and proof by contraposition. They will understand the underlying principles of each method and be able to select and apply the appropriate technique to establish the validity of various mathematical statements effectively.
20
cards
Formal Systems and Completeness
By the end of this deck, learners will gain a comprehensive understanding of formal systems and their underlying axioms. They will grasp the concepts of completeness and soundness within logical systems and acquire a foundational understanding of Gödel's incompleteness theorems, appreciating their profound implications on the nature and limitations of formal systems.
20
cards
Applications of Formal Logic
By the end of this deck, learners will have a thorough understanding of how formal logic is applied in mathematics and computer science. They will be introduced to the fundamentals of logic programming and gain insights into the role of logic in artificial intelligence, enabling them to appreciate and leverage the practical implications of formal logical principles in these fields.
20
cards
More about
Introduction to Formal Logic
- Class purpose General learning
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Looking for something else?
Masterbooks Introduction to Logic
- 76 decks
- 3366 flashcards
- 47 learners
Decks:
Chapter 1, Chapter 2 New, Chapter 2 Review, And more!
Formal Logic
- 7 decks
- 101 flashcards
- 21 learners
Decks:
Fallacies, Quantifier Restriction, Beginning, And more!
