Fundamentals of logic Flashcards
A proposition made of two or more simple propositions is called ?
A Compound Proposition
The Logical statement P ^ ~P ≡ f and p v ~ p ≡ t follow which law of logic?
Inverse Law
If p and q are two propositions then p ^ q ≡ q ^ p follows which law of logic?
Commutative Law
The symbol for the conjunction of two propositions ‘p’ and ‘q’ is?
∧
If p and q are two propositions, then the logical statement p ^ (p v q) ≡ p and p v (p ^ q) ≡ p follows which law of logic?
Absorption Law
If p and q are two simple propositions, then the proposition formed by combining these two propositions by using the word if and only if (also written as iff) is called?
Biconditional Proposition
If p and q are two simple propositions, then the proposition formed by combining the two given propositions by using the words if and then i.e. “if p then q” is called_____________ or an implication.
Conditional Proposition
A proposition is called_____________ if it cannot be broken down into two or more propositions.
Simple Proposition
If p and q are two simple propositions then the compound proposition formed by connecting these two propositions using the word “or” is called of p and q.
Disjuction
_________ of the proposition is the counter statement of the given proposition.
Negation
If p and q are two simple propositions then the compound proposition formed by connecting these two propositions using the word “and” is called of p and q.
Conjuction
The symbol for the disjunction of two propositions ‘p or q’ is
v
The symbol for implication is
⇒
The logical statement (p ^ q) ^ r ≡ p ^ (q ^ r) and (p v q) v r ≡ p v (q v r) follows which law of logic?
Associative Law
The symbol for the negation of proposition ‘p’ is
~ or -
