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Unformatted text preview: Lecture 1 Lecture 1 Basic questions Basic questions What is an argument? When is an argument valid? What kind of sentences are used in arguments? Does our analysis of validity require some account of what it means for this kind of sentence to be true? Connectives and Sentential Connectives and Sentential Compounds What are connectives? Why are they of interest to us in our study of logic? What are some of the connectives that are used in natural language? How you would explain the function (meaning?) of such a connective to someone who wasn’t familiar with it? Negation and Conjunction Algebra and Logic Algebra and Logic The textbook notes an analogy between the learning of sentential logic and the learning of algebra. Do you understand this analogy? One can think of an nary connective as an n ary function on truth values. The semantic analysis of a connective is determined by the graph of its associated function. TruthTables TruthTables A sentential expression, like a polynomial, may be interpreted as a particular function. We will assume some sort of grouping convention. The graph of the associated function may be represented as a truthtable. Write out the truth table for ¬(X ∧ Y). What is “truth functionality”? Can you think of a connective that is not truth functional? ...
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This note was uploaded on 02/27/2011 for the course PHILOSOPHY 101 taught by Professor H during the Spring '11 term at Columbia College.
- Spring '11