rules of inference are used in this famous argument? "All men are mortal. Socrates is a man. Therefore, Socrates is mortal. 2) What rules of inference are used in this argument? "No man is an istand, Manhattan is an island. Therefore, Manhaltan is not a man.

the rules of inference are used in both arguments.<br /><br />In the first argument, the rule of inference used is the syllogism. A syllogism is a form of deductive reasoning that consists of a major premise, a minor premise, and a conclusion. In this case, the major premise is "All men are mortal," the minor premise is "Socrates is a man," and the conclusion is "Therefore, Socrates is mortal." The rule of inference states that if the major premise and minor premise are true, then the conclusion must also be true.<br /><br />In the second argument, the rule of inference used is the contraposition. A contraposition is a form of deductive reasoning that states that if the original statement is true, then the contrapositive must also be true. In this case, the original statement is "No man is an island," and the contrapositive is "If something is an island, then it is not a man." The conclusion is "Therefore, Manhattan is not a man." The rule of inference states that if the original statement is true, then the contrapositive must also be true, and therefore the conclusion must also be true.