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Artificial Intelligence Artificial Intelligence 2016-2017 Physical Symbol Systems [1] An aside: equations x2 + ax + b = 0 x2 + 2(a/2)x + a2/4 − a2/4 + b = 0 (x + a/2)2 − a2/4 + b = 0 (x + a/2)2 = a2/4 − b x = − a/2 ± (a2/4 − b)1/2 Artificial Intelligence 2016-2017 Physical Symbol Systems [2] An aside: equations x2 + ax + b = 0 x2 + 2(a/2)x + a2/4 − a2/4 + b = 0 (x + a/2)2 − a2/4 + b = 0 (x + a/2)2 = a2/4 − b x = − a/2 ± (a2/4 − b)1/2 Artificial Intelligence 2016-2017 Physical Symbol Systems [3] An aside: equations x2 + ax + b = 0 x2 + 2(a/2)x + a2/4 − a2/4 + b = 0 (x + a/2)2 − a2/4 + b = 0 (x + a/2)2 = a2/4 − b x = − a/2 ± (a2/4 − b)1/2 Artificial Intelligence 2016-2017 Physical Symbol Systems [4] An aside: equations x2 + ax + b = 0 x2 + 2(a/2)x + a2/4 − a2/4 + b = 0 (x + a/2)2 − a2/4 + b = 0 (x + a/2)2 = a2/4 − b x = − a/2 ± (a2/4 − b)1/2 Artificial Intelligence 2016-2017 Physical Symbol Systems [5] An aside: equations x2 + ax + b = 0 x2 + 2(a/2)x + a2/4 − a2/4 + b = 0 (x + a/2)2 − a2/4 + b = 0 (x + a/2)2 = a2/4 − b x = − a/2 ± (a2/4 − b)1/2 x a Artificial Intelligence 2016-2017 b Physical Symbol Systems [6] Symbolic Reasoning Artificial Intelligence 2016-2017 Physical Symbol Systems [7] Symbolic descriptions can abstract Artificial Intelligence 2016-2017 Physical Symbol Systems [8] Reasoning and schemas: syllogism Artificial Intelligence 2016-2017 Physical Symbol Systems [9] Reasoning and schemas: syllogism Artificial Intelligence 2016-2017 Physical Symbol Systems [10] Reasoning and schemas: syllogism Artificial Intelligence 2016-2017 Physical Symbol Systems [11] Reasoning and schemas: syllogism Artificial Intelligence 2016-2017 Physical Symbol Systems [12] Fallacies (paralogisms) Artificial Intelligence 2016-2017 Physical Symbol Systems [13] What is the purpose of symbolic logic? Artificial Intelligence 2016-2017 Physical Symbol Systems [14] What is the purpose of symbolic logic? Artificial Intelligence 2016-2017 Physical Symbol Systems [15] Truth and Possible Worlds: the quest for formal semantics Artificial Intelligence 2016-2017 Physical Symbol Systems [16] What is true? Artificial Intelligence 2016-2017 Physical Symbol Systems [17] What is true? Artificial Intelligence 2016-2017 Physical Symbol Systems [18] What is true? Artificial Intelligence 2016-2017 Physical Symbol Systems [19] How to make a sentence true? Artificial Intelligence 2016-2017 Physical Symbol Systems [20] How to make a sentence true? Artificial Intelligence 2016-2017 Physical Symbol Systems [21] Sentences may be related Artificial Intelligence 2016-2017 Physical Symbol Systems [22] Sentences may be related Artificial Intelligence 2016-2017 Physical Symbol Systems [23] Sentences may be related Artificial Intelligence 2016-2017 Physical Symbol Systems [24] Sentences may be related Artificial Intelligence 2016-2017 Physical Symbol Systems [25] Sentences may be related Artificial Intelligence 2016-2017 Physical Symbol Systems [26]