UNIT 2 Fundamentals of Logic Let p, q be primitives statements for which implication p q is false. Determine the → truth values of the following. Jun 2015 / Jan 2014 Sol: 5 p q p v q q v p (p v q) (q v p) ↔ T T T T T T F T T T F T T T T F F F F T By constructing the truth table. Show that the compound propositions pAND(~q V r) Jun 2015 / Jan 2014 Let p, q be primitives statements for implication .June 2015 / Jan 2014 Sol: 5 Discuss the basic connectives that are used in logic. (6m) Jun 2013 new proposition are formed by starting with given propositions with the aid of Solution: words or phrases like and and only if” such words or phrases “not”, “and”, “if…then”, “if w=are called connectives Negation: a proposition obtained by inserting the word at an appropriate places “not” in a propositions called negation of given proposition and is denoted by ~p ( p is any proposition). Conjunction: a compound proposition obtained by combining two propositions by inserting the word in between them is called conjunction (denoted by p ^ q) “and” Disjunction: a compound proposition obtained by inserting the word in between “or” them is called disjunction (denoted by p v q) Conditional: a compound proposition obtained by combining two proposition by using the word and then” at appropriate place is called a conditional proposition and is “if denoted by “p →q”
UNIT 2 Fundamentals of Logic Let p, q be primitives statements for which implication p → q is false. Determine the truth values of the following. Jun 2015 / Jan 2014 Sol: 5 p q p v q q v p (p v q) ↔ (q v p) T T T T T T F T T T F T T T T F F F F T By constructing the truth table. Show that the compound propositions pAND(~q V r) Jun 2015 / Jan 2014 Let p, q be primitives statements for implication .June 2015 / Jan 2014 Sol: 5 Discuss the basic connectives that are used in logic. (6m) Jun 2013 Solution: new proposition are formed by starting with given propositions with the aid of words or phrases like “not”, “and”, “if…then”, and “if and only if” such words or phrases w=are called connectives Negation: a proposition obtained by inserting the word “not” at an appropriate places in a propositions called negation of given proposition and is denoted by ~p ( p is any proposition). Conjunction: a compound proposition obtained by combining two propositions by inserting the word “and” in between them is called conjunction (denoted by p ^ q) Disjunction: a compound proposition obtained by inserting the word “or” in between them is called disjunction (denoted by p v q) Conditional: a compound proposition obtained by combining two proposition by using the word “if and then” at appropriate place is called a conditional proposition and is denoted by “p →q”
Unit-I-II-solutions.docx