Podcast
Questions and Answers
What does the hidden assumption suggest about beliefs that are no longer widely held?
What does the hidden assumption suggest about beliefs that are no longer widely held?
What is the first step in identifying hidden assumptions according to the outlined process?
What is the first step in identifying hidden assumptions according to the outlined process?
In the context of the example involving North Korea, what does the term 'inference' refer to?
In the context of the example involving North Korea, what does the term 'inference' refer to?
What does the 'negative test' check for when dealing with hidden assumptions?
What does the 'negative test' check for when dealing with hidden assumptions?
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According to the process outlined, what is crucial for connecting unlinked terms in an argument?
According to the process outlined, what is crucial for connecting unlinked terms in an argument?
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In identifying hidden assumptions, what should be done after writing the assumption?
In identifying hidden assumptions, what should be done after writing the assumption?
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Which of the following best describes the purpose of recognizing hidden assumptions in arguments?
Which of the following best describes the purpose of recognizing hidden assumptions in arguments?
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What is one common misconception about beliefs that are no longer held?
What is one common misconception about beliefs that are no longer held?
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What is the main weak premise in the argument presented?
What is the main weak premise in the argument presented?
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What approach can be taken to better understand a flawed argument?
What approach can be taken to better understand a flawed argument?
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How should premises be connected to establish a more plausible argument?
How should premises be connected to establish a more plausible argument?
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What assumption is considered regarding the future of North Korea's leadership?
What assumption is considered regarding the future of North Korea's leadership?
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What alternative linking premise could replace the weak premise?
What alternative linking premise could replace the weak premise?
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What example is used to challenge the idea that we should invade nuclear aspirants?
What example is used to challenge the idea that we should invade nuclear aspirants?
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What is implied about interpreting arguments we disagree with?
What is implied about interpreting arguments we disagree with?
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What does the content suggest about direct leaps in premises?
What does the content suggest about direct leaps in premises?
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What is one issue raised about the argument regarding the national interest in humanitarian aid?
What is one issue raised about the argument regarding the national interest in humanitarian aid?
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What assumption does Person B challenge in the discussion about Edward Snowden?
What assumption does Person B challenge in the discussion about Edward Snowden?
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What flaw is pointed out regarding the Republicans' argument on the Affordable Care Act?
What flaw is pointed out regarding the Republicans' argument on the Affordable Care Act?
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In the discussion about college education, what is a primary reason given for the argument against expecting everyone to attend college?
In the discussion about college education, what is a primary reason given for the argument against expecting everyone to attend college?
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What hidden assumption is discussed concerning the conclusion about Great Britain's historical role?
What hidden assumption is discussed concerning the conclusion about Great Britain's historical role?
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What concern does Person B raise about the conclusion concerning treason and data leakage?
What concern does Person B raise about the conclusion concerning treason and data leakage?
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What does the argument concerning the Affordable Care Act ultimately rely on?
What does the argument concerning the Affordable Care Act ultimately rely on?
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What logical relationship does the argument about college education imply about skills and education?
What logical relationship does the argument about college education imply about skills and education?
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What is the purpose of the negation test in the context of premises?
What is the purpose of the negation test in the context of premises?
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In the example given, why did the premise about the backpack not render the argument nonsensical?
In the example given, why did the premise about the backpack not render the argument nonsensical?
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Which of the following describes the nature of the premises in the argument about the girlfriend?
Which of the following describes the nature of the premises in the argument about the girlfriend?
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What was revealed about the strength of the premise regarding treating someone with care?
What was revealed about the strength of the premise regarding treating someone with care?
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In the example about President Obama, which premise serves as a specific legislative achievement?
In the example about President Obama, which premise serves as a specific legislative achievement?
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Which statement best captures the essence of conjunctive reasoning in an argument?
Which statement best captures the essence of conjunctive reasoning in an argument?
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What can be inferred if an argument's premises are independent?
What can be inferred if an argument's premises are independent?
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What is the implication of weakening a premise in an argument?
What is the implication of weakening a premise in an argument?
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What is the primary purpose of college according to Person C?
What is the primary purpose of college according to Person C?
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What hidden assumption is present in Frank's argument about making it to the party on time?
What hidden assumption is present in Frank's argument about making it to the party on time?
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What conclusion does Person E draw from her premises regarding gun control?
What conclusion does Person E draw from her premises regarding gun control?
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What is the epidemic mentioned by D. Obama related to health insurance?
What is the epidemic mentioned by D. Obama related to health insurance?
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Which reasoning flaw is highlighted regarding the argument for gun control?
Which reasoning flaw is highlighted regarding the argument for gun control?
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What resource does college provide to trades like plumbing and welding according to Person B?
What resource does college provide to trades like plumbing and welding according to Person B?
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What aspect of biodiversity does Tamil emphasize for future food sources?
What aspect of biodiversity does Tamil emphasize for future food sources?
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What assumption can be derived from the statement about making it to the party?
What assumption can be derived from the statement about making it to the party?
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Study Notes
Conjoint vs. Independent Premises
- The negation test is used to identify if premises are conjoint or independent in an argument.
- If negating one premise does not make the inference fall apart, then the premises are independent.
- When premises are conjoint, negating one premise makes the conclusion false.
- The negation test can also reveal how strong a piece of evidence is for the conclusion.
Hidden Assumptions
- An inference is a conclusion drawn based on premises.
- A hidden assumption is an unstated premise that is necessary to connect the terms in the premises to the conclusion.
- Following the negation test, the hidden assumption should make the argument nonsensical when negated.
Identifying Hidden Assumptions
- Step 1: Identify the inference or sub-inference with the hidden assumption.
- Step 2: Look at the premises of the inference and identify the terms or topics discussed in each premise.
- Step 3: Ask how we can link the terms that aren't yet linked, requiring imagination and intuition.
- Step 4: Write the assumption that links the unlinked terms.
Evaluating Hidden Assumptions
- Step 5: Check if the argument now works with the identified hidden assumption, by ensuring there is a link between each topic and a path from premises to the conclusion.
- Step 6: Perform the "negative test" on the assumption using the negated version of the assumption. If the argument makes no sense, it's a valid hidden assumption. If the argument still makes sense, the assumption is not valid.
The Principle of Charity
- The argument should be interpreted as rationally and plausibly as possible, especially for arguments we disagree with or are skeptical of.
- When presented with an unreasonable assumption in an argument, the option is to reject the argument or use the Principal of Charity to interpret the argument in the most plausible way by changing the assumptions.
Mapping Objections
- Objections to arguments can be mapped as inferences.
- Objections to hidden assumptions are technically objections to inferences.
Mapping Objections Examples
- Example A: Person B raises an objection to premise 2 by stating that convicting anyone who releases a large amount of data of treason is wrong.
- Example B: Person B raises an objection to the conclusion by stating that people need health insurance and won't stop purchasing it even if prices rise incrementally.
- Example C: Person C raises an objection to the premise to conclusion by stating that college isn't about job training, but about creating an informed citizenry.
- Example D: Person A raises an objection to the argument as a whole by stating that the ACA won't provide health insurance to a large group of poor Americans.
- Example E: Person B raises an objection to the conclusion by stating that there are reasons to pass gun control even if the premises are accepted.
Mapping Hidden Assumptions and Objections Examples
- Example A: The hidden assumption in the argument is that it's necessary to reach the party on time, and the objection is that being 15 minutes late is still acceptable for a party.
- Example B: The hidden assumption is that biodiversity can only be sustained in a healthy environment.
- Example C: The hidden assumption is that protecting the environment is necessary to ensure future food sources.
Types of Objections
- Counter-argument / Premise Objection: Opposing the soundness of a premise.
- Counter-conclusion / Conclusion Objection: Suggesting another conclusion is more likely given the premises.
- Hidden Assumption Objection: Identifying a missing or faulty hidden assumption in the argument.
- Conclusion Does Not Follow Objection: Stating that the conclusion does not logically follow from the premises.
- Irrelevant Premises Objection: Arguing that some premise is irrelevant to the conclusion.
- Distinctive Premises Objection: Stating the premise does not hold in the current situation.
- Insufficient Premises Objection: Argueing that the premises are insufficient to support the conclusion.
- Alternative Explanation Objection: Providing an alternative explanation for the phenomena described in the premises.
- Ad Hominem Objection: Attacking the person making the argument, not addressing the argument itself.
- Straw Man Objection : Distorting the argument by misrepresenting the argument's position.
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Description
This quiz explores the concepts of conjoint and independent premises, emphasizing the negation test used to evaluate arguments. Additionally, it covers how to identify hidden assumptions that link premises to conclusions. Test your understanding of these critical components of logical reasoning.