Elements of Deductive Logic

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We cannot say that from Some men are rich, it follows that some are not. An exponible contains an implied, indi- rect judgment covertly expressed, as in Only some men are rich.
Finally, neither the compounding of two or more simple propositions, nor the resolution of a com- pound proposition into its components, should be mistaken for inference.
79. Also preparatory to an account of the sev- eral kinds of immediate inference for which we shall have subsequent use, we state a prohibition applied
... to all deductions in the following RULE: The quantification must not be increased.
90 DEDUCTION Truly we may deduce all from all, some from some, some from all, but not all from some. It is evident that what is said only of some furnishes no ground for a deduction concerning all. The attempt to make this deduction in violation of the foregoing rule is called the illicit process. The principles of induction license the inference of all from some, and so exhaust the possible processes.
80. Determination.


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