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Questions and Answers
What is a key consideration when checking the quality of evidence?
What is a key consideration when checking the quality of evidence?
Which fallacy arises from incorrectly suggesting only two possible options?
Which fallacy arises from incorrectly suggesting only two possible options?
What misconception involves the belief that inductive arguments are always weaker than deductive arguments?
What misconception involves the belief that inductive arguments are always weaker than deductive arguments?
Why might a valid deductive argument have a false conclusion?
Why might a valid deductive argument have a false conclusion?
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What represents a slippery slope fallacy?
What represents a slippery slope fallacy?
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What is fundamentally incorrect about the argument: 'All cats bark; Mittens is a cat; therefore, Mittens barks'?
What is fundamentally incorrect about the argument: 'All cats bark; Mittens is a cat; therefore, Mittens barks'?
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What distinguishes deductive validity from inductive strength?
What distinguishes deductive validity from inductive strength?
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Which scenario illustrates a hasty generalization fallacy?
Which scenario illustrates a hasty generalization fallacy?
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Which of the following is a characteristic of a deductive argument, but not an inductive argument?
Which of the following is a characteristic of a deductive argument, but not an inductive argument?
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Which of the following is an example of a valid deductive argument?
Which of the following is an example of a valid deductive argument?
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Which of the following is an example of a strong inductive argument?
Which of the following is an example of a strong inductive argument?
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Which of the following is an example of a fallacy?
Which of the following is an example of a fallacy?
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Which of the following is NOT a characteristic of a strong inductive argument?
Which of the following is NOT a characteristic of a strong inductive argument?
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Which of the following is an example of the Modus Tollens argument pattern?
Which of the following is an example of the Modus Tollens argument pattern?
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Which of the following is an example of a hypothetical syllogism?
Which of the following is an example of a hypothetical syllogism?
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Which of these is the most accurate description of a "Hasty Generalization" as described in the content?
Which of these is the most accurate description of a "Hasty Generalization" as described in the content?
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Which of the following is NOT a pattern commonly used in inductive arguments, as described in the content?
Which of the following is NOT a pattern commonly used in inductive arguments, as described in the content?
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Which of the following examples best illustrates the concept of "Denying the Antecedent" fallacy?
Which of the following examples best illustrates the concept of "Denying the Antecedent" fallacy?
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Which of the following examples best illustrates the concept of "Inference to the Best Explanation"?
Which of the following examples best illustrates the concept of "Inference to the Best Explanation"?
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Which of the following is NOT a step in evaluating a deductive argument, as described in the content?
Which of the following is NOT a step in evaluating a deductive argument, as described in the content?
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What is the critical flaw in the following argument: 'If a person is a good athlete, then they will be successful in their career. John is not a good athlete. Therefore, John will not be successful in his career.'?
What is the critical flaw in the following argument: 'If a person is a good athlete, then they will be successful in their career. John is not a good athlete. Therefore, John will not be successful in his career.'?
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Which of the following statements best describes the main difference between inductive and deductive arguments?
Which of the following statements best describes the main difference between inductive and deductive arguments?
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Which of the following is the most accurate description of an "Analogical Induction"?
Which of the following is the most accurate description of an "Analogical Induction"?
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Which statement best encapsulates the fundamental difference between deductive and inductive arguments?
Which statement best encapsulates the fundamental difference between deductive and inductive arguments?
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If a deductive argument is valid, can its conclusion still be false?
If a deductive argument is valid, can its conclusion still be false?
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Identify the statement that accurately describes the concept of 'soundness' in deductive arguments.
Identify the statement that accurately describes the concept of 'soundness' in deductive arguments.
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Which statement best exemplifies the characteristic of 'truth-preserving' in deductive arguments?
Which statement best exemplifies the characteristic of 'truth-preserving' in deductive arguments?
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In the context of inductive arguments, what does 'strength' signify?
In the context of inductive arguments, what does 'strength' signify?
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What is the primary difference between a 'strong' inductive argument and a 'cogent' inductive argument?
What is the primary difference between a 'strong' inductive argument and a 'cogent' inductive argument?
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Consider the statement: 'All birds can fly'. Which of the following statements is true regarding this statement in the context of the provided information on deductive and inductive arguments?
Consider the statement: 'All birds can fly'. Which of the following statements is true regarding this statement in the context of the provided information on deductive and inductive arguments?
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Which of the following arguments would be considered deductive?
Which of the following arguments would be considered deductive?
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Flashcards
Deductive Argument
Deductive Argument
An argument that provides logically conclusive support for its conclusion.
Validity
Validity
A property of arguments where it’s impossible for all premises to be true while the conclusion is false.
Soundness
Soundness
When a deductive argument is valid and has all true premises.
Truth-Preserving
Truth-Preserving
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Inductive Argument
Inductive Argument
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Strength (Inductive)
Strength (Inductive)
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Cogency
Cogency
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Not Truth-Preserving
Not Truth-Preserving
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Strong Inductive Argument
Strong Inductive Argument
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Modus Ponens
Modus Ponens
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Modus Tollens
Modus Tollens
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Affirming the Consequent
Affirming the Consequent
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Denying the Antecedent
Denying the Antecedent
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Enumerative Induction
Enumerative Induction
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Hasty Generalization
Hasty Generalization
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Analogical Induction
Analogical Induction
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Inference to the Best Explanation
Inference to the Best Explanation
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Evaluating Deductive Arguments
Evaluating Deductive Arguments
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Assessing Probability Link
Assessing Probability Link
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Strength of Inductive Arguments
Strength of Inductive Arguments
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Evidence Quality
Evidence Quality
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Consider Alternatives
Consider Alternatives
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False Dilemma
False Dilemma
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Slippery Slope
Slippery Slope
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Inductive Argument Misconception
Inductive Argument Misconception
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Deductive Argument Validity Misconception
Deductive Argument Validity Misconception
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Coincidental Correctness
Coincidental Correctness
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Study Notes
Deductive vs Inductive Arguments
- Deductive arguments aim to provide logically conclusive support for a conclusion. If the premises are true and the argument is valid, the conclusion must be true.
- A deductive argument is valid when it's impossible for all premises to be true and the conclusion false. Validity only considers logical form, not factual accuracy of the premises.
- A deductive argument is sound if it is valid and all premises are true. Soundness ensures both correct structure (validity) and factual accuracy, guaranteeing the truth of the conclusion given true premises.
- Inductive arguments provide probabilistic support for a conclusion. They aim to show that the conclusion is likely true if the premises are true, but not guaranteed.
- Inductive arguments are strong if, assuming the premises are true, the conclusion is probably true. The degree of strength can vary.
- An inductive argument is cogent if it is strong and has all true premises. Unlike deductive arguments, a strong inductive argument does not guarantee the conclusion's truth. It only increases the likelihood.
Valid Deductive Argument Patterns
- Modus Ponens: If P, then Q. P. Therefore, Q. (Affirming the Antecedent)
- Modus Tollens: If P, then Q. Not Q. Therefore, Not P. (Denying the Consequent)
Invalid (Fallacious) Patterns
- Affirming the Consequent: If P, then Q. Q. Therefore, P.
- Denying the Antecedent: If P, then Q. Not P. Therefore, Not Q.
Common Inductive Argument Types
- Enumerative Induction: Observing many instances and generalizing to a broader conclusion. (e.g., observing many white swans and concluding all swans are white)
- Analogical Induction: Drawing a conclusion about an unfamiliar case based on its similarity to a familiar case. (e.g., Inferring the newest phone model will have good battery life because similar past models did)
- Inference to the Best Explanation: Proposing the most likely explanation for a phenomenon based on available evidence.
Critical Thinking Applications
- Evaluating Deductive Arguments: Check validity (is it impossible for premises to be true but conclusion false?). Check soundness (are premises true?).
- Evaluating Inductive Arguments: Assess probability, check evidence quality (is the sample large enough, are premises unbiased?), consider alternatives, and look for overlooked information.
Common Fallacies to Avoid
- Hasty Generalization: Drawing a conclusion from too few examples.
- False Dilemma (False Dichotomy): Presenting an argument suggesting only two possibilities when more exist.
- Slippery Slope: Arguing that a small first step leads to a chain of related events with significant effect, without sufficient evidence.
Key Misconceptions
- Inductive arguments are not automatically weaker than deductive arguments.
- A valid deductive argument must have a true conclusion. (False. A valid argument can have a false conclusion if a premise is false).
- An argument with all true premises and a true conclusion must be valid. (False. Coincidence doesn't mean the conclusion necessarily follows from the premises).
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Description
Explore the differences between deductive and inductive arguments in this informative quiz. Learn how deductive arguments provide conclusive support for a conclusion, while inductive arguments offer probabilistic support. Test your understanding of validity, soundness, strength, and cogency.