For a  conditional statement, the contrapositive of the converse is always logically equivalent to the inverse.   Is it true or false?

Write each of the following conditional statements and the corresponding converse, inverse, and contrapositive as English sentences in the form “if ?, then ?.”Example: Whenever it rains, it pours. Answer: Original statement: If it rains, then it pours. Converse: If it pours, then it rains. Inverse: If it doesn’t rain, then it doesn’t pour. Contrapositive: If it doesn’t pour, then it doesn’t rain. 1.1 You can do it if you put your mind to it. 1.2 Being cold implies that you need a jacket. 1.3 Petting the cat is sufficient for it to purr.

Express this in predicate logic: Each email address has exactly one email box. M(x): x is an email address B(x,y): x has an email box y

2. flashfloods Conditional Statement: Converse: Inverse: logging illegal causes If logging is illegal, then it causes flashfloods. Contrapositive: 0 to bluo 3. school Conditional Statement: Converse: students responsible in excel If students are responsible, then they excel in school. Inverse: Contrapositive: 29ld

Identify the argument as converse fallacy or inverse fallacy All Employees Regularly Late will be Fired. Sharon was fired. ⇒ Sharon was regularly late.

A deductive argument is

Give REAL LIFE EXAMPLES about propositions with explanation.

Use truth tables to establish the truth of each statement: The converse and inverse of a conditional statement are logically equivalent to each other.