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Knowledge The Pop Quiz Paradox

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Replies to Gettier The Tripartite Analysis: S knows that p iff i. p is true, ii. S believes that p; iii. S’s belief that p is justified; and iv. ???

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Replies to Gettier First Proposal: S knows that p iff i. p is true, ii. S believes that p; iii. S’s belief that p is justified; and iv. S is certain that p.

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Replies to Gettier Second Proposal: S knows that p iff i. p is true, ii. S believes that p; iii. S’s belief that p is justified; and iv. S’s justification for p does not involve any false beliefs.

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Replies to Gettier D is a defeater for S’s belief that p iff were S to find out about D, he would no longer believe that p. Third Proposal: S knows that p iff i. p is true, ii. S believes that p; iii. S’s belief that p is justified; and iv. There is no defeater for S’s belief that p.

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The Pop Quiz Paradox A pop quiz is a quiz such that you (the student) will not know it is going to happen on a particular day until that day comes and the quiz is given. A reductio ad absurdum is an argument where we show some assumption is false because it leads to a contradiction (i.e., a proposition of the form ‘p and not-p’).

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The Pop Quiz Paradox 1)A pop quiz will be given Friday. 2)If a pop quiz will be given Friday, then I (the student) will know about it beforehand. 3)I will not know about it beforehand. 4)[So] I will know about it beforehand and I will not know about it beforehand. 5)[So] A pop quiz will not be given Friday.

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Section 1.7. Section Summary Mathematical Proofs Forms of Theorems Direct Proofs Indirect Proofs Proof of the Contrapositive Proof by Contradiction.

Section 1.7. Section Summary Mathematical Proofs Forms of Theorems Direct Proofs Indirect Proofs Proof of the Contrapositive Proof by Contradiction.

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