Homework - Conjunction, Disjunction and Conditional Stmts.

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What is a conjunction in logic?

Back

A conjunction is a logical operator that connects two statements with 'and'. It is true only if both statements are true.

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What is a disjunction in logic?

Back

A disjunction is a logical operator that connects two statements with 'or'. It is true if at least one of the statements is true.

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What is a conditional statement?

Back

A conditional statement is a logical statement that has the form 'if P, then Q', where P is the hypothesis and Q is the conclusion.

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Identify the truth value of the conjunction: 'It is raining and it is cold.'

Back

The truth value depends on the actual weather conditions. It is true only if both conditions are true.

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Identify the truth value of the disjunction: 'It is sunny or it is snowing.'

Back

The truth value is true if at least one of the conditions is true.

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What is the negation of the statement: 'The sky is blue.'

Back

The negation is 'The sky is not blue.'

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What is the hypothesis in the statement: 'If it rains, then the ground will be wet.'

Back

The hypothesis is 'It rains.'

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What is the conclusion in the statement: 'If you study hard, then you will pass the exam.'

Back

The conclusion is 'You will pass the exam.'

Front

Provide an example of a false conditional statement.

Back

An example is: 'If it is a dog, then it can fly.' This is false because dogs cannot fly.

Front

What is the truth value of the statement: 'If it is snowing, then it is cold.'

Back

The truth value is true if it is indeed cold when it is snowing.