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Giant Brains; or, Machines That Think

by Edmund Callis Berkeley

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Table 13

ConnectiveAntecedent
Switch
Set atConsequent
Switch
Set at
k₁A₁VC₁k₂
k₂A₂VC₂V
k₃A₃k₁C₃k₅
k₄A₄VC₄V
k₅A₅k₄C₅k₆
k₆A₆VC₆V
k₇A₇k₃C₇V

In any problem, statements that are different are numbered one after another 1, 2, 3, 4 ···. A statement that is repeated bears always the same number. In nearly all cases that are interesting, there will be repetitions of the statements. If any statement appeared with a “not” in it, we would turn up the denial switch for that statement (Unit 2).

The different connectives available on the machine are “and,” “or,” “if ··· then,” “if and only if.” If a “not” affected the compound statement produced by any connective, we would turn up the denial switch for that connective (Unit 8).

The last step in putting the problem on the machine is to connect the main connective of the whole compound statement to the yellow light output (Unit 12). In this problem the last “if-then,” k₇, is the main connective, the one that produces the whole compound statement. So we turn Stop Switch 7 (in Unit 7) that belongs to k₇ into the up position. There are a few more things to do, naturally, but the essential part of putting the information of the problem into the machine has now been described.

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