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Unformatted text preview: Branden Fitelson Philosophy 12A Notes 1 ' & $ % Announcements & Such • Genesis : Cinema Show • Administrative Stuff – HW #2 is due (first submission) Friday @ 4pm @ the 12A Drop Box. ∗ See my “HW Tips & Guidelines” Handout, pertaining to HW #2. – I’ve posted the solutions for HW #1. – I recommend Schaum’s Outline of Logic (or any other introductory symbolic logic textbook) for additional solved problems. • Chapter 2 (LSL), Continued — More Symbolization from English to LSL – Symbolzing English sentences (one last example — for emphasis). – Symbolizing entire English arguments into LSL. ∗ Symbolizing sentences in the context of an argument . ∗ Here, we have a principle of charity for argument symbolization. • Time Permitting: Chapter 3 Introduction — LSL Semantics. UCB Philosophy Chapter 2 Finalé & Chapter 3 Intro. 09/17/08 Branden Fitelson Philosophy 12A Notes 2 ' & Rewind: The Last Problem on HW #1 • The last problem on HW #1 is about the following argument ( A ): (1) If Prince William is unmarried, then Prince William is a bachelor. (2) Prince William is a bachelor. (3) Therefore, Prince William is unmarried. • Is A is absolutely sound ? Since both premises (1) and (2) of A are actually true, this question reduces to “Is A is absolutely valid ?”. • A is clearly not sententially valid. Its sentential form is the fallacious form that I called affirming the consequent in a previous lecture. • Nonetheless, one might be tempted to argue that A is absolutely valid on the grounds that A ’s conclusion (3) follows from premise (2) alone . • We are conservative about such cases. We only call arguments valid if we have a formal theory according to which they have a valid form . As it turns out, we have no such theory. So, our answer will be: NO. • Our course in philosophical logic (142) delves into this subtle issue. UCB Philosophy Chapter 2 Finalé & Chapter 3 Intro. 09/17/08 Branden Fitelson Philosophy 12A Notes 3 ' & $ % English ֏ LSL ( sentences ): Example #4 • ‘Tom Cruise goes to the premiere provided that Penelope Cruz does, but Nicole Kidman does not.’ (#8 from my list of 13 last time) – Step 0: Decide on atomic sentences and letters. T : Tom Cruise goes to the premiere. P : Penelope Cruz goes to the premiere. N : Nicole Kidman goes to the premiere. – Step 1: Substitute into English, yielding “Logish”: T provided that P , but not N . – Step 2: make the transition into LSL (in stages as well, perhaps): P → T , but not N . Final Product: (P → T ) & ∼ N • Note that the location of the comma makes the grouping here clear . Do not use “background knowledge” to trump clear sentence structure....
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This note was uploaded on 09/23/2009 for the course PHIL 12A taught by Professor Fitelson during the Spring '08 term at Berkeley.
- Spring '08