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Логика. Чисто условное умозаключение (самое важное)

Lecture notes, cheat sheets

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47. PURE CONDITIONAL CONCLUSION

A purely conditional inference is a conclusion in which both premises are conditional propositions.. Eg:

If the invention was created by the joint creative work of several citizens (p), all of them are recognized as co-authors of the invention (q). If they are recognized as co-authors of the invention (r), then the procedure for using the rights to an invention created in co-authorship is determined by the agreement between co-authors (r). If an invention was created by the joint creative work of several citizens (p), then the procedure for using the rights to an invention created in co-authorship is determined by an agreement between the co-authors (r).

In the above example, both premises are conditional propositions, and the consequence of the first premise is the basis of the second (q), from which, in turn, some consequence (r) follows. The common part of the two premises (q) allows us to connect the base of the first (p) and the consequence of the second (r). Therefore, the conclusion is also expressed in the form of a conditional proposition.

Schematic of purely conditional inference:

(p → q) ∧ (q → r),

(P → r).

The conclusion in purely conditional inference is based on the rule: the consequence of the effect is the consequence of the reason.

An inference in which the conclusion is obtained from two conditional premises is simple.

However, the conclusion may follow from a larger number of premises that form a chain of conditional propositions. Such inferences are called complex.

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