Chapter 3: Introduction to Logic 3.1 Statements and Quantifiers 3.2 Truth Tables and Equivalent Statements 3.3 The Conditional and Circuits 3.4 The Conditional and Related Statements 3.5 Analyzing Arguments with Euler Diagrams 3.6 Analyzing Arguments with Truth Tables Statements and Quantifiers Section 3-1...
235-Ch1-2-Logic离散数学英文版PPT ElementsofDiscreteStructures Chapter1:TheFoundations:LogicandProofs(Part2)CSCI-235Dr.KaitianCao DiscreteStructures:Terminology Algorithm(AlgorithmicAnalysis,AlgorithmicThinking)Universal,ExistentialQuantification,RuleofInference Probability,Statistics,Event,Independent,...
Propositional and Predicate Logic Logical operations and truth tables Quantifiers Logic statements Part II: Methods of Proof Rules of inference Indirect method of proof Proof by contradiction Disproving by counterexamples Proposition Proposition (statement) A declarative sentence that is either true or false...
Berry, G. (1952), Peirce's contributions to the logic of statements and quantifiers, in P. Wiener & F. Young, eds, `Studies in the Philosophy of Charles S. Peirce', Harvard University Press, Cambridge, MA.BERRY, GEORGE D. W. 1952. "Peirce's Contributions to the Logic of State-...
Chapter 1 Logic and Proof. Chapter 1 Logic and Proof
First-Order-Logic课件.pptx,First-Order Logic精品文档Limitations of propositional logicSuppose you want to say “All humans are mortal”In propositional logic, you would need ~6.7 billion statementsSuppose you want to say “Some people can run a marathon
Propositionallogicisconcernedwiththetruthorfalsehoodofstatements(propositions)like:thevalveisclosed fiveplusfourequalsnine Connectives:and or not implies equivalent (X(YZ))((XY)(XZ))“XimpliesYandZisthesameasXimpliesYandXimpliesZ”PropositionalLogic •...
•First-orderlogicassumestheworldcontainsobjects,relations,andfunctions 精品文档 SyntaxofFOL •Constants:•Variables:•Predicates:•Functions:•Connectives:•Equality:•Quantifiers:John,Sally,2,...x,y,a,b,...Person(John),Siblings(John,Sally),IsOdd(2),...MotherOf(John),Sqrt(x),......
- 24 Summary • First-order logic: –objects and relations are semantic primitives –syntax: constants, functions, predicates, equality, quantifiers • Increased expressive power: sufficient to define wumpus world more concisely.实用的PPT模板素材精选合集 还在为不会制作好看的PPT发愁吗?还在为找不...
smart(x) means “All students are smart” Universal quantification is rarely used to make blanket statements about every individual in the world: (?x)student(x)?smart(x) means “Everyone in the world is a student and is smart” Existential quantifiers are usually used with “and” to ...