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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.
However, only the occurrence of the necessary condition x may not always result in y also occurring. [2] In other words, when some factor is necessary to cause an effect, it is impossible to have the effect without the cause. [3] X would instead be a sufficient cause of y when the occurrence of x implies that y must then occur.
Necessary condition analysis follows a step-by-step approach to identify necessary conditions. The key steps involved in conducting NCA are as follows: Formulation of a necessity hypothesis: The first step in NCA is to clearly define the theoretical expectation specifying the condition(s) that may be necessary for the outcome of interest.
The Euler–Lagrange equation is a necessary, but not sufficient, condition for an extremum []. A sufficient condition for a minimum is given in the section Variations and sufficient condition for a minimum.
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.
Thus, according to Williamson, justification, truth, and belief are necessary but not sufficient for knowledge. Williamson is also known for being one of the only philosophers who take knowledge to be a mental state; [65] most epistemologists assert that belief (as opposed to knowledge) is a mental state. As such, Williamson's claim has been ...
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.
Nutrition is necessary but not sufficient to account for growth in size, as genetics is the governing factor. At some point, virtually all organisms normally decline and die even while remaining in environments that contain sufficient nutrients to sustain life.