Excerpt: ...are in part mutually exclusive, yet this is not conveyed by the form of the expression. It may so happen that B is wholly contained under A, while A itself contains everything. In this case it will be true that 'No not-B is not-A, ' which contradicts the attempted inference. Thus from the proposition 'Some things are substances' it cannot be inferred that 'Some not-substances are not-things, ' for in this case the contradictory is true that 'No not-substances are not-things'; and unless an inference is valid in ...

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