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Can you prove a negative?
Theory of Knowledge, Knowledge and Inquiry, Critical Thinking Dr M Rushton 9/18/26 Theory of Knowledge, Knowledge and Inquiry, Critical Thinking Dr M Rushton 9/18/26

Can you prove a negative?

It is often claimed that you cannot prove a negative; that is, you cannot prove that some entity does not exist.

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Is your AI a stochastic parrot?
General Paper, Knowledge and Inquiry, Theory of Knowledge Dr M Rushton 9/14/26 General Paper, Knowledge and Inquiry, Theory of Knowledge Dr M Rushton 9/14/26

Is your AI a stochastic parrot?

Let us say that you have a pet parrot. His name is Beau. You teach Beau to sing ‘I’m a little teapot, short and stout.’

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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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