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Chapter 3 : The Logic of Quantified Statement (3.4 Arguments with…
Chapter 3 : The Logic of Quantified Statement
3.2 Predicates and Quantified Statement 2
The Relation among Quatified statement and junctions (and,or)
Vacuous Truth of Universal Statements
Negations of Universal Conditional Statement
Variants of Universal Condional Statements
Negations of Quantified Statements
Necessary and Sufficient Conditions, Only if
3.4 Arguments with Quantified Statement
Proving Validity of Argument with Quantified Statements
Using Diagrams to Test for Validity
Universal Modus Tollens
Creating Additonal Forms of Arguments
Use of Universal Modus Ponens in a Proof
Remark on the Converse and Inverse Law
Universal Modus Ponens
3.3 Statement with Multiple Quantifiers
Negations of Multiply-Quantified Statements
Order of Quantifiers
Ambiguous Language
Formal Logical Notation
Translating form Informal to Formal Language
Prolog
3.1 Predicate and Quantified Statement 1
Formal Versus Informal Language
Universal Conditional Statements
The Existential Quantifiers
Equivalent Forms of Universal and Existential Statement
The Universal Quantifier
Implicit Quantification
Tarski's World