PPT-Propositional Logic

Section 11 Propositions A proposition is a declarative sentence that is either true or false Examples of propositions The Moon is made of green cheese Trenton is the capital of New Jersey. Probability Conditional Probability Mean Median Mo de and Standard Deviation Random Variables Distributions uniform normal exponential Poisson Binomial Set Theory Algebra Sets Relations Functions Groups Partial Orders Lattice Boolean Algebra Comb Propositional Logic Not Enough. Given the statements: . “All men are mortal.”. “Socrates is a man.”. It follows that “Socrates is mortal.”. This can’t be represented in propositional logic. . Frank Costanzo – MAT 7670 Spring 2012. Introduction. Fuzzy logic began with the introduction of Fuzzy Set Theory by . Lotfi. . Zadeh. in 1965.. Fuzzy Set. Sets whose elements have degrees of membership. Chapter 1, Part II: Predicate Logic. With Question/Answer Animations. Summary. Predicate Logic (First-Order Logic (FOL), Predicate Calculus). The Language of Quantifiers. Logical Equivalences. Nested Quantifiers. Chapter 1, Part III: Proofs. With Question/Answer Animations. Summary. Valid Arguments and Rules of Inference. Proof Methods. Proof Strategies. Rules of Inference. Section 1.6. Section Summary. Valid Arguments. Use . WalkSAT. Use min-Conflict heuristic. Similar to hill climbing and simulated annealing. Pick unsatisfied clause then pick a symbol to flip to satisfy the clause by. Use Min Conflict. Or Random. Downside. Assertions;. t/f. Epistemological. commitment. Ontological. commitment. t/f/u. Deg. belief. facts. Facts. Objects. relations. Prop. logic. Prob. prop. logic. FOPC. Prob. FOPC. Atomic. PropositionalRelationalFirst order. Yuki . Osada. Perry Brown. 1. Fuzzy Logic. Outline. 2. Fundamental fuzzy concepts. Fuzzy propositional and predicate logic. Fuzzification. Defuzzification. Fuzzy control systems. Types of fuzzy algorithms. In . logic. , a . tautology. (from the . Greek. word τα. υτολογί. α) is a . formula. that is true in every possible . interpretation. .. Philosopher. . Ludwig Wittgenstein. first applied the term to redundancies of . The limitation of propositional logic.  . Is not a proposition. Because we . can . not tell whether it is true or false unless . we . know . the value . of. .  .  . Predicate Logic. We denote the statement . Class 9/15 - Video on Watson playing Jeopardy . HW 2 (Logic). coming out later this week. No office hours today!. Last Time: Propositional Inference. Logical Agents. Use information about how states change to choose actions. Section 1.4. Section Summary. Predicates . Variables. Quantifiers. Universal Quantifier. Existential Quantifier. Negating Quantifiers. De Morgan’s Laws for Quantifiers. Translating English to Logic. Networks and Communication Department. 1. Outline. Networks and Communication Department. Define and give a brief history of artificial intelligence.. Describe how knowledge is represented in an intelligent agent. Lecture Notes. April 17th. Two Topics. Homework 9. Grammar and Logic. Homework 9. Use . cosines.py. . or . bfs4.perl . (or some . nltk. similarity measure mentioned in a previous lecture) or a mix of the two to come up with a method of matching words to (simple) definitions for quizzes A and B (shown on the next slides).