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The imperatives that can be obeyed by a machine that has no limbs are bound to be of a rather intellectual character, as in the example (doing homework) given above. Important amongst such imperatives will be ones which regulate the order in which the rules of the logical system concerned are to be applied. For at each stage when one is using a logical system, there is a very large number of alternative steps, any of which one is permitted to apply, so far as obedience to the rules of the logical system is concerned. These choices make the difference between a brilliant and a footling reasoner, not the difference between a sound and a fallacious one. Propositions leading to imperatives of this kind might be «When Socrates is mentioned, use the syllogism in Barbara» or «If one method has been proved to be quicker than another, do not use the slower method». Some of these may be «given by authority», but others may be produced by the machine itself, e.g. by scientific induction.

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