Question

5 example of compound proposition

Answer 1

1.Our automobile had a problem. The last was us.

2. They used English to communicate with him, but she replied in Spanish.

3. She brings her cat with her when she visits the beach.

4. Joly reads comic books, but Michael reads literature.

5.Alex realised he had forgotten his lunch as he drove to the office.

• A proposition that is made up of many statements is referred to as a compound proposition.
• If and only if the truth or falsehood of the compound assertion depends only on (is a function of) the truth or falsehood of the components, the compound proposition is said to be a truth-functional proposition (short for truth-function).
• The truth tables of these connectives are precisely the same as in Bochvar internal logic due to the fact that the policy adopted for compound propositions and therefore the connectives of negation and conjunction are identical to Bochvar's.
• There is a finite set of (two or more) individuals, who have to make judgments on some propositions.3 Propositions are represented by sentences from propositional logic or a more expressive logical language, and they are generally denoted p, q, r and so on. Propositional logic can express ‘atomic propositions’, which do not contain any logical connectives, such as the proposition that we can afford a budget deficit or the proposition that spending on education should be increased, as well as ‘compound propositions’, with the logical connectives not, and, or, if-then, if and only if, such as the proposition that if we can afford a budget deficit, then spending on education should be increased.

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