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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.
Wherever logic is applied, especially in mathematical discussions, it has the same meaning as above: it is an abbreviation for if and only if, indicating that one statement is both necessary and sufficient for the other. This is an example of mathematical jargon (although, as noted above, if is more often used than iff in statements of definition).
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.
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 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
The article is about the distinct, but related, concepts of 'necessity' and 'sufficiency', and not about 'necessary and sufficient conditions', which is only one of the four basic types: necessary and sufficient, necessary but not sufficient, sufficient but not necessary, and neither necessary nor sufficient.
It is not necessary for the consideration to be equivalent to the initial promise in terms of value. Nominal consideration will suffice as good consideration for a contract, Courts will not measure the adequacy of the consideration as it is up to the parties to decide the subjective worth of each promise.
"It is not possible that X" is logically equivalent to "It is necessary that not X". Precisely what axioms and rules must be added to the propositional calculus to create a usable system of modal logic is a matter of philosophical opinion, often driven by the theorems one wishes to prove; or, in computer science, it is a matter of what sort of ...