Logic

Cover Logic
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How do you know that? Because _Every simple substanceis indestructible_. Without this further ground there can be noinference. The fact is that conditional forms often cover assertionsthat are not true complex propositions but a sort of euthymemes (chap. Xi. § 2), arguments abbreviated and rhetorically disguised. Thus: _Ifpatience is a virtue there are painful virtues_--an example from Dr. Keynes. Expanding this we have-- Patience is painful; Patience is a virtue: ∴ Some virtue is painful.
And
...then we see the equivocation of the inference; for though patiencebe painful _to learn_, it is not painful _as a virtue_ to the patientman.
The hypothetical, '_If Plato was not mistaken poets are dangerouscitizens_, ' may be considered as an argument against the laureateship, and may be expanded (informally) thus: 'All Plato's opinions deserverespect; one of them was that poets are bad citizens; therefore itbehoves us to be chary of encouraging poetry. ' Or take thisdisjunctive, '_Either Bacon wrote the works ascribed to Shakespeare, orthere were two men of the highest genius in the same age and country_.


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