This is the conclusion stated above.
Assume the contradictory of the conclusion.
Step 4: Check the argument for validity; does the conclusion follow from the premises?
When a Set of three or more Biliteral Propositions are such that all their Terms are Species of the same Genus, and are also so related that two of them, taken together, yield a Conclusion, which, taken with another of them, yields another Conclusion, and so on, until all have been taken, it is evident that, if the original Set were true, the last Conclusion would also be true.
This does not mean that the conclusion is true.
Any argument that includes its conclusion as a premise will be valid.
Take the negation of any of your beliefs as a conclusion and your remaining beliefs as the premises.
The conclusion follows from the premises, without any further assumptions that might turn out to be false.
If an Argument has exactly one Conclusion, the single Conclusion will be referred to as “C”.
Thus, for example, Celarent is a first-figure syllogism with an E-form major, A-form minor, and E-form conclusion.
The premises are plausible, but the conclusion seems absurd, for it implies the possibility of spatially coincident objects.
Arguments to a conclusion from no premises whatsoever are those in which the conclusion is true by logic alone.
For each combination, he either demonstrates that some conclusion necessarily follows or demonstrates that no conclusion follows.
The subject of the conclusion is called minor term (ḥadd aṣġar), the predicate of the conclusion is called major term (ḥadd akbar).
That nevertheless he could “see no escape from the conclusion” is, we may safely assume, because the conclusion is the best—in this case presumably even the only plausible—explanation of his results that he could think of.
Connective syllogisms are defined as those in which neither the conclusion nor its contradictory is explicitly part of the premises, and hence as those syllogisms in which the conclusion is only potentially contained in the premises.
The illative core is the set of premises offered in support of the conclusion; the dialectical tier consists of alternative points of view, likely objections to the conclusion, and the premises and whatever assumptions characterize debate about the conclusion.
Such a conclusion about all further cases is much stronger than a conclusion about the next case, and one might well think that in some circumstances a conclusion of the latter sort is justified, but that a conclusion of the former sort is not.
Such a Set, with the last Conclusion tacked on, is called a ‘Sorites’; the original Set of Propositions is called its ‘Premisses’; each of the intermediate Conclusions is called a ‘Partial Conclusion’ of the Sorites; the last Conclusion is called its ‘Complete Conclusion,’ or, more briefly, its ‘Conclusion’; the Genus, of which all the Terms are Species, is called its ‘Universe of Discourse’, or, more briefly, its ‘Univ.’; the Terms, used as Eliminands in the Syllogisms, are called its ‘Eliminands’; and the two Terms, which are retained, and therefore appear in the Conclusion, are called its ‘Retinends’.
(1) Name the ‘Universe of Discourse’. (2) Construct a Dictionary, making a, b, c, &c. represent the Terms. (3) Put the Proposed Premisses into subscript form. (4) Select two which, containing between them a pair of codivisional Classes, can be used as the Premisses of a Syllogism. (5) Find their Conclusion by Formula. (6) Find a third Premiss which, along with this Conclusion, can be used as the Premisses of a second Syllogism. (7) Find a second Conclusion by Formula. (8) Proceed thus, until all the proposed Premisses have been used. (9) Put the last Conclusion, which is the Complete Conclusion of the Sorites, into concrete form.
- a position or opinion or judgment reached after consideration
- an intuitive assumption
Example: jump to a conclusion
- the temporal end; the concluding time
- event whose occurrence ends something
- the proposition arrived at by logical reasoning (such as the proposition that must follow from the major and minor premises of a syllogism)
- the act of ending something
- a final settlement
Example: the conclusion of a business deal
- the last section of a communication
Example: in conclusion I want to say...
- the act of making up your mind about something
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1 Name the Universe of Discourse 2 Construct a Dictionary making a b c c represent the Terms 3 Put the Proposed Premisses into subscript form 4 Select two which containing between them a pair of codivisional Classes can be used as the Premisses of a Syllogism 5 Find their Conclusion by Formula 6 Find a third Premiss which along with this Conclusion can be used as the Premisses of a second Syllogism 7 Find a second Conclusion by Formula 8 Proceed thus until all the proposed Premisses have been used 9 Put the last Conclusion which is the Complete Conclusion of the Sorites into concrete form