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Part One: Assessing the Inference, Deductive and Inductive Reasoning.

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Presentation on theme: "Part One: Assessing the Inference, Deductive and Inductive Reasoning."— Presentation transcript:

1 Part One: Assessing the Inference, Deductive and Inductive Reasoning

2 What a “good” argument doesn’t mean: A.“Good Argument” does not mean “Agrees With My Views.” B.“Good Argument” does not mean “Persuasive Argument.” C.“Good Argument” does not mean “Well-Written or Well-Spoken Argument.”

3  Two fundamental questions of argument evaluation 1.Do the premises, if true, provide adequate reason to believe the conclusion is true? 2.Are the premises true (plausible or acceptable)?

4 What a “good” argument does mean A. Deductive arguments are good when they are sound. B. Inductive arguments are good when they are cogent.

5  Deductive  Valid inference  True premises

6  Inductive  Strong inference  True premises

7  The inference in an argument is the relationship of support between the premises and the conclusion.  The inference in an argument is the process by which one asserts a conclusion on the basis of given evidence or reasons (i.e. drawing a conclusion from the premises).

8  How certain does the author intend their inference to be? ◦ If the author intends for their inference to be certain or necessary, the argument should be treated as a deductive argument. ◦ If the author intends for their inference to be probable or likely, the argument should be treated as an inductive argument.

9  Tests for determining author’s intent: 1.Indicator Word Test 2.Strict Necessity Test 3.Common Pattern Test 4.Principle of Charity 5.Exceptions to Strict Necessity

10  Indicator Word Test ◦ Does the author employ indicators in their conclusion that convey the intent of establishing a certain or necessary inference? ◦ Phrases like, “necessarily,” “it must be the case that,” “it is certain that,” “obviously,” “it logically follows that,” etc. indicate that the author intends to establish a deductive argument. ◦ Phrases like, “probably,” “it is likely that,” “it is reasonable to conclude,” etc. indicate that the author intends to establish an inductive argument.

11  Strict Necessity: Does the conclusion follow with strict logical necessity from the premises? ◦ Scenario Method: Is it possible to imagine some scenario (however strange) where the premises could be true and at the same time the conclusion would be false? ◦ If yes, then the argument does not meet the standard of strict necessity.

12  Common Pattern Test: Does the author employ a common pattern of reasoning that is characteristically deductive/inductive?

13  Principle of Charity: We should give the author the benefit of any doubt. When it is reasonable to treat an argument as having a fairly good inductive inference, but where treating the argument as deductive would lead to rejecting the argument, we should treat the argument as inductive.

14  Exceptions to Strict Necessity: An argument in which the conclusion does not follow necessarily from the premises should nonetheless be treated as deductive if either 1.The language or context makes clear that the author intended to offer a logically conclusive inference; 2.The argument has a pattern of reasoning that is characteristically deductive, and nothing else about the argument clearly indicates it is meant to be inductive.

15  What is a “good” inference? 1.In a deductive argument, a good inference is a valid inference. 2.In an inductive argument, a good inference is a strong inference.

16  A valid deductive argument is one that establishes its conclusion with Strict Logical Necessity or Absolute Inferential Security. Which is to say, in a Valid argument: ◦ If the premises are (taken to be) true, then the conclusion must also be (taken to be) true. ◦ The conclusion follows necessarily from the premises. ◦ The premises provide logically conclusive grounds for the truth of the conclusion. ◦ The premises guarantee the conclusion. ◦ It is logically inconsistent to assert all the premises are true and at the same time deny the conclusion. ◦ It is impossible for the premises to be true and the conclusion to be false.

17  Some things to watch out for ◦ “Valid” does not mean “true” ◦ An argument can have a valid inference, even if the premises are false. ◦ An argument can have a valid inference, even if the conclusion is false. All whales are fish. All fish have gills. All whales have gills.

18  Some more tips regarding Validity: 1.Validity admits of no degrees, an argument is either valid or invalid. 2.An inference cannot be “pretty valid” or “nearly valid,” but is either 100% valid or 100% invalid

19  A strong inductive argument is one that establishes its conclusion with probability. Which is to say, in a Strong argument: ◦ If the premises are taken to be true, then the conclusion is likely ◦ The premises provide good reasons, though not logically conclusive ones, to accept the conclusion. ◦ The premises make the conclusion of the argument more likely than any other possible conclusions drawn from the same evidence.

20 ◦ “Strong” does not mean “true” ◦ An argument can have a strong inference, even if the premises are false. ◦ An argument can have a strong inference, even if the conclusion is false. In a study of 10,000 dental patients, people who brushed their teeth regularly (at least two times a day) for years did not have a lower rate of tooth decay than those who do not brush regularly. Thus, brushing your teeth does not help prevent tooth decay.

21  Some more tips regarding inductive strength: ◦ Inductive strength admits of degrees, an argument can be moderately strong or very strong. ◦ Even the best inductive inference still leaves some room for doubt regarding the conclusion. ◦ Often, the inference in an argument can be made more strong if the conclusion is appropriately qualified to match the degree of evidence.


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