PHI 1101 Lecture Notes - Lecture 11: Logical Form, Material Conditional, Destructive Dilemma
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They are either equal to true or to false. Can also be numbered as true = 1 and false = 0. When both of the component sentences are true. There are 4 posibilities when there are 2 sentences: a could be true, b could be false, a could be true, b true, a false, b true, a false, b false. A&b is only true in one of these circumstances which makes sense when a. Recall the symbols = { , &, v, } Exclusive or is saying (avb) a or b. Chosen for our symmetry and you must be some interpretation in order to get things. Conditional we use is interpreted as if that a is true then the b is true. The value of truth and falsehood can be understood as numbers, the grey in the world is a greater or equal to instead of an arrow.