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In ordinary English (also natural language) "necessary" and "sufficient" indicate relations between conditions or states of affairs, not statements. For example, being a man is a necessary condition for being a brother, but it is not sufficient—while being a man sibling is a necessary and sufficient condition for being a brother.
3. P is not necessary but it is sufficient: If (P OR Q) then S. We don't NEED P. We can get S from Q. But on the other hand if we DO have P, P is enough in itself to create S. No need for anything else. 4. P is not necessary AND not sufficient: If (P OR Q) AND R then S. P is not necessary. We can get S from Q even though we do not have P.
Necessary condition analysis (NCA) is a research approach and tool employed to discern "necessary conditions" within datasets. [1] These indispensable conditions stand as pivotal determinants of particular outcomes, wherein the absence of such conditions ensures the absence of the intended result.
Necessary and sufficient condition, in logic, something that is a required condition for something else to be the case; Necessary proposition, in logic, a statement about facts that is either unassailably true (tautology) or obviously false (contradiction) Metaphysical necessity, in philosophy, a truth which is true in all possible worlds
A condition X is necessary for Y if X is required for even the possibility of Y. X does not bring about Y by itself, but if there is no X, there will be no Y. For example, oxygen is necessary for fire. But one cannot assume that everywhere there is oxygen, there is fire. A condition X is sufficient for Y if X, by itself, is enough to bring about Y.
Necessary But Not Sufficient is a 2000 novel authored by Eliyahu Goldratt with co-authors Eli Schrangenheim and Carol A. Ptak. Necessary But Not Sufficient is written as a "business novel" and shows the fictional application of the theory of constraints to enterprise resource planning (ERP) and operations software and organizations using that software.
He considered knowledge to be too diverse to characterize in terms of necessary and sufficient conditions. [69] He claimed not to be substituting knowledge-how for knowledge-that, but instead proposing a definition that is more general than both. [70] For Allen, knowledge is "deeper than language, different from belief, more valuable than truth ...
Metaphysical necessity is contrasted with other types of necessity. For example, the philosophers of religion John Hick [2] and William L. Rowe [3] distinguished the following three: factual necessity (existential necessity): a factually necessary being is not causally dependent on any other being, while any other being is causally dependent on it.