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HU260 Constructing Deductive and Inductive Arguments Grantham University HU260 Strategies for Decision Making Modus Ponens Modus Ponens, latin for omode that affirms?, is the orule of logic stating that if a Conditional statement (~if p then q) is accepted and the antecedent (p) holds, then the consequent (q) may be inferred? (Dictionary). One example of this form of argument is " if it is an airplane, then it has wings. It is an airplane. Therefore, it has wings. Modus Tollens Modus Tollens, latin for othe way that denies by denying?, is the orule of logic stating that if a conditional statement (~if p then q) is accepted, and the consequent does not hold (not " q), then the negation of the antecedent (not -p) can be inferred? (Dictionary). An example of this form of argument is " if it is an airplane, then it has wings. It does not have wings. Therefore, it is not an airplane. Hypothetical Syllogisms oHypothetical syllogisms are short, two-premise deductive arguments, i
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Constructing Deductive and Inductive Arguments Grantham University HU260 Strategies for Decision Making Modus Ponens Modus Ponens, latin for “mode that affirms”, is the “rule of logic stating that if a Conditional statement (‘if p then q’) is accepted and the antecedent (p) holds, then the consequent (q) may be inferred” (Dictionary). One example of this form of argument is – if it is an airplane, then it has wings. It is an airplane. Therefore, it has wings. Modus Tollens Modus Tollens, latin for “the way that denies by denying”, is the “rule of logic stating that if a conditional statement (‘if p then q’) is accepted, and the consequent does not hold (not
snows on Friday, then we will cancel school. If school is canceled, then I will be able to sleep in. Therefore, if it snows on Friday, I will sleep in. Disjunctive Syllogism Disjunctive syllogism, also known as “‘Modus Tollendo Tollens’ is a rule of inference of propositional logic that states if P or Q is true and not P is true, then q is true” (Philosophy Wiki). It is a valid argument form which is a syllogism having a disjunctive statement for one of its premises. An example of this form of argument is – the cookies have either walnuts or macadamia nuts inside them. The cookies do not have macadamia nuts. Therefore, the cookies have walnuts in them. Three Premise Syllogism A syllogism is a three-part logical argument, based on deductive reasoning, it contains three categorical propositions, two of them premises, one a conclusion. An example of this form of argument is – all people from South Africa, have distinct accents. Dewold is from South Africa. Therefore, Dewold has a distinct accent. Induction by Enumeration An inductively valid argument “moving from a premise stating that all so far examined As are Bs to the conclusion that all As whatsoever are Bs” (Cavender, Kahane, Boardman). It is not a deductively valid form of reasoning because the meaning of the premises leaves open the possibility that the conclusion is false. An example of induction by enumeration is - There was a jar filled with 99 pink beads and one purple bead. 99 beads were pulled out of the jar randomly, without replacing any more beads. Therefore, the bead left in the jar is purple. Reasoning by Analogy