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- A proposition is logically necessary if it instantiates a law of logic or can be made to instantiate a law of logic through substitution of definitionally equivalent terms. Examples are “It is raining now or it is not raining now” and “All women are human beings” (assuming “women” can be replaced with “female human beings”).
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Nov 27, 2012 · For example, Fine (2002) suggests (in a discussion that sets aside epistemic modality) that there are three fundamental kinds of necessity, which he calls ‘metaphysical,’ ‘nomic’ and ‘normative’ necessity. (For further discussion of normative necessity, see Rosen 2020.)
- Analytic/Synthetic Distinction
Many philosophers have hoped that the apparent necessity and...
- Two-Dimensional Semantics
On this understanding of necessity, the target sentence is...
- Necessary and Sufficient Conditions
A handy tool in the search for precise definitions is the...
- Analytic/Synthetic Distinction
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Aug 15, 2003 · A handy tool in the search for precise definitions is the specification of necessary and/or sufficient conditions for the application of a term, the use of a concept, or the occurrence of some phenomenon or event. For example, without water and oxygen, there would be no human life; hence these things are necessary conditions for the existence ...
Necessity, in logic and metaphysics, a modal property of a true proposition whereby it is not possible for the proposition to be false and of a false proposition whereby it is not possible for the proposition to be true. A proposition is logically necessary if it instantiates a law of logic or can.
- The Editors of Encyclopaedia Britannica
Jun 29, 2012 · As pointed out by @MichaelDorfman, the definition of "necessary" is "that it could not possibly exist otherwise". A good example on this that might help you out is the relation between color and extension. You cannot have color without extension, as such, there's a relation of necessity between them.
A necessary truth is one that must be true; a contingent truth is one that is true as it happens, or as things are, but that did not have to be true. In Leibniz's phrase, a necessary truth is true in all possible worlds.
Dec 8, 2017 · We now tend to think that the Necessity Analysis fails because it does not define a sufficiently fine-grained concept of essence. Consider the following pair of examples. First, it is necessary that Socrates exists only if Socrates is such that there are infinitely many prime numbers.
The concepts of necessary and sufficient conditions play central and vital roles in analytic philosophy. For example, being an unmarried male is a necessary condition for being a bachelor and being a bachelor is a sufficient condition for being an unmarried male.
