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ArbitrLikvidat [17]
3 years ago
11

Match the types of well formed formulas with the expressions. Negation Conjunction Disjunction Conditional Biconditional A. T &l

t;-> U B. (A & B) v (C & D) C. R -> ~S D. P & Q E. ~ (R v P)
Mathematics
1 answer:
nikklg [1K]3 years ago
6 0
<h3>Answers:</h3>
  • A. T <-> U  is a <u>biconditional</u>
  • B. (A & B) v (C & D)  is a <u>disjunction</u>
  • C. R -> ~S  is a <u>conditional</u>
  • D. P & Q   is a <u>conjunction</u>
  • E. ~(R v P)  is a <u>negation</u>

========================================

Explanations:

  • A biconditional is anything in the form A <-> B. This is a compact way of saying (A -> B) & (B -> A). We replace A and B with logical statements.
  • Disjunctions are of the basic form A v B. The "v" basically means "or".
  • Any conditional is of the form "if... then...". For example, "if it rains, then it gets wet outside" is a conditional. In terms of logic symbols, we write A -> B to mean "if A, then B".
  • Conjunctions are whenever we combine two logical statements with an "and" or an ampersand symbol. The basic form is A & B
  • Negations are the complete opposite of the original. If the original is P, then the negation is ~P, which is read as "not P".
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