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The Prisoner’s Dilemma
Critical Thinking Dr M Rushton 4/16/26 Critical Thinking Dr M Rushton 4/16/26

The Prisoner’s Dilemma

Imagine two prisoners who are rational and self-interested. The Police catch them on a minor offence. The Police suspect that they were also involved in a more serious offence but have no evidence for this.

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Inference to the best explanation
Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 4/2/26 Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 4/2/26

Inference to the best explanation

Inference to the best explanation is a form of reasoning where one infers that the hypothesis, among competing hypotheses, which best explains the available data is likely true.

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What is a slippery slope argument?
Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 3/13/26 Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 3/13/26

What is a slippery slope argument?

This is an informal fallacy which occurs when an initial, seemingly minor, action will inevitably trigger a chain reaction, leading to increasingly severe, undesirable outcomes, often without sufficient evidence for each step.

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Gettier cases
Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 2/25/26 Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 2/25/26

Gettier cases

The American philosopher Edmund Gettier argued in a famous paper in 1963 that we can have a JTB and yet still not have knowledge…

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Deductive and inductive arguments
Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 2/14/26 Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 2/14/26

Deductive and inductive arguments

In everyday speech, we say, ‘You make a valid argument’, ‘You have a valid point’, ‘That’s a sound point’, ‘That’s a good argument’, ‘That’s a strong argument’ and so on. This is rather loose-speak.

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What is affirming the consequent?
Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 1/16/26 Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 1/16/26

What is affirming the consequent?

Affirming the consequent is a logical fallacy whereby the arguer incorrectly concludes the cause (antecedent) because of the effect (consequent).

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What is knowledge?
Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 1/15/26 Knowledge and Inquiry, Theory of Knowledge, Critical Thinking Dr M Rushton 1/15/26

What is knowledge?

The branch of Philosophy concerning the nature of knowledge is Epistemology. Philosophers commonly identify three types of knowledge:

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What is modus tollens?
Critical Thinking, Knowledge and Inquiry, Theory of Knowledge Dr M Rushton 1/3/26 Critical Thinking, Knowledge and Inquiry, Theory of Knowledge Dr M Rushton 1/3/26

What is modus tollens?

Modus tollens (Latin for ‘mode that denies’) is a valid form of logical deduction. It is a conditional form (if-then).

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What is an ad hominem fallacy?
Critical Thinking, Knowledge and Inquiry, Theory of Knowledge Dr M Rushton 12/31/25 Critical Thinking, Knowledge and Inquiry, Theory of Knowledge Dr M Rushton 12/31/25

What is an ad hominem fallacy?

An ad hominem fallacy (Latin for ‘to the person’) is considered to be a logical error where someone attacks the personal traits or motives of the person making an argument, instead of addressing the actual substance or validity of the argument itself.

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