Lecture #4 - Branden Fitelson Philosophy 12A Notes 1...

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Unformatted text preview: Branden Fitelson Philosophy 12A Notes 1 Announcements & Such Miles Davis & John Coltrane : So What Administrative Stuff Permanent locations for all sections are now known (see website). HW #1 is due today (by 4pm in the 12A drop box outside 301 Moses). HW #1 will be returned Tues. Re-subs due Thursday (4pm, drop box). Homework formatting. Please put the following information: * Name, GSI, section time, and date. on all assignments and exams (upper-right corner of first page). Branden will not have office hours today. Introduction to the Course & Chapter 1 of Forbes Chapter 2 The Language of Sentential Logic (LSL) Today: syntax, use/mention, and intro. to symbolization UCB Philosophy Chapter 2 Intro. 01/28/10 Branden Fitelson Philosophy 12A Notes 2 Abstract Argument Logical Form LSL / LMPL / LFOL Symbolization Chapters 2 , 5 & 7 English Argument Valid Form? Deciding Formal Validity Chapters 3, 4, 6 & 8 Valid English Argument? Valid Abstract Argument? Articulation of Thought in English UCB Philosophy Chapter 2 Intro. 01/28/10 Branden Fitelson Philosophy 12A Notes 3 Introduction to the Syntax of the LSL: The Lexicon The syntax of LSL is quite simple. Its lexicon has the following symbols: Upper-case letters A , B , . . . which stand for basic sentences . Five sentential connectives / operators (one unary , four binary ): Operator Name Logical Function Used to translate tilde negation not, it is not the case that & ampersand conjunction and, also, moreover, but vee disjunction or, either . . . or . . . arrow conditional if . . . then . . . , only if double arrow biconditional if and only if Parentheses (, ), brackets [. ], and braces {, } for grouping. If a string of symbols contains anything else, then its not a sentence of LSL. And, only certain strings of these symbols are LSL sentences. Some LSL symbol strings arent well-formed : (A & B , A & B C , etc . UCB Philosophy Chapter 2 Intro. 01/28/10 Branden Fitelson Philosophy 12A Notes 4 Digression: The Use/Mention Distinction Consider the following two sentences: (1) California has more than nine residents. (2) California has more than nine letters. In (1), we are using the word California to talk about the State of California. But, in (2), we are merely mentioning the word California ( i.e. , were talking about the word itself ). If Jeremiah = California, which of these sentences are true? (3) Jeremiah has (exactly) eight letters [false]....
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Lecture #4 - Branden Fitelson Philosophy 12A Notes 1...

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