PHIL 210 Chapter Notes - Chapter 3: Atomic Sentence, Sentence Clause Structure, Truth Table
15 Dec 2017
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To form complex claims from atomic claims, fol provides us with connectives and quantifiers and, or, not conjunction, disjunction, negation. Boolean connectives are truth-functional: truth value of a complex sentence depends on its constituent sentence truth values. (i think they are really predicates which take in 2 claims, and makes a truth-oriented relation between the two) Truth tables shows how the truth value of a sentence depends on truth values of parts. Henkin-hintikka game: two people argue on the value of a complex sentence. A claims it is true, b claims it is false; the two challenge one another to justify their claims in terms of simpler claims until finally their disagreement is reduced to a simple atomic claim. At this point they can examine the world to see whether the claim is true (ie in the case of worlds we find in tarski"s world)
