unit3e - Hardegree Intermediate Logic Identity Sets and...

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Unformatted text preview: Hardegree, Intermediate Logic , Identity, Sets, and Numbers page 1 of 22 3e Identity, Sets, and Numbers 1. Counting...........................................................................................................................................2 2. Identity.............................................................................................................................................2 1. Qualitative Identity ..............................................................................................................2 2. Numerical (Logical) Identity ...............................................................................................3 3. The Various Uses of ‘Is’ in English.....................................................................................3 4. A Little Grammatical Puzzle................................................................................................4 5. A Few More Examples of Identity.......................................................................................4 6. Leibniz’s Laws.....................................................................................................................4 7. Important Note on Subsequent Usage..................................................................................6 8. The Language Problem........................................................................................................6 3. Sets...................................................................................................................................................6 1. What is a Set?.......................................................................................................................6 2. Set-Abstracts ........................................................................................................................7 4. A Theory of Numbers......................................................................................................................8 5. The Grammar of Number-Words.....................................................................................................9 1. Nouns versus Adjectives......................................................................................................9 2. Number-Words: Numerical-Adjectives; Numerical-Nouns .............................................10 6. The Zero-Adjective........................................................................................................................11 7. The One-Adjective.........................................................................................................................12 1. ‘Is the Only’ .......................................................................................................................13 2. A More Succinct Formula..................................................................................................14 3. Using Set-Talk to Convey ‘Is the Only’ ............................................................................15 Using Set-Talk to Convey ‘Is the Only’ ....
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This note was uploaded on 04/09/2008 for the course PSYCH 201 taught by Professor Hardegree during the Spring '08 term at UMass (Amherst).

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unit3e - Hardegree Intermediate Logic Identity Sets and...

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