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LOGIC-2 Chapter 2. Paul Thagard (2005). Mind: An Introduction to Cognitive Science. 2 nd Edition. MIT Press. Propositional Logic. (Russel and Norvig). TRUTH TABLES. Negation. Disjunction. Conjunction. TRUTH TABLES. Conditional. Biconditional. Summary so far.
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LOGIC-2Chapter 2 Paul Thagard (2005). Mind: An Introduction to Cognitive Science. 2nd Edition. MIT Press FCAC, University of Hyderabad
Propositional Logic FCAC, University of Hyderabad
(Russel and Norvig) FCAC, University of Hyderabad
TRUTH TABLES Negation Disjunction Conjunction FCAC, University of Hyderabad
TRUTH TABLES Conditional Biconditional FCAC, University of Hyderabad
Summary so far • We looked at logical connectives and wffs • Formalising English to Propositional Logic • Truth tables • We get entailed theorems when our inference rules are sound • We get every entailed theorem that exists when our inference rules are complete FCAC, University of Hyderabad
Inference Rules FCAC, University of Hyderabad
Some more rules are there, you can see in any Logic Text Book. FCAC, University of Hyderabad
First Order Predicate Logic (FOPL) FCAC, University of Hyderabad
FUNCTIONS FCAC, University of Hyderabad
(more of a computer science term) FCAC, University of Hyderabad
References • Paul Thagard (2005). Mind: An Introduction to Cognitive Science. 2nd Edition. MIT Press. • Slides from Susse, Dept of Philosophy, Michigan State University. • Slides from Logic in AI course: D.D. Peters, Computer Science, Birmingham Univ, UK • AIMA slides from Russel and Norvig FCAC, University of Hyderabad
Next Class: Logic Continued • Evaluation of Logic as a Representation scheme • Representational power • Computational power • Problem Solving: Planning, Decision, Explanation • Learning • Language • Psychological Plausibility • Neurological Plausibility • Practical Applicability FCAC, University of Hyderabad