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(For more on Whewell's notion of necessity, see Snyder 1994 and 2006, chapter one).
(In a later work Smart (41 47) broadened his notion of necessity).
A stronger form rejects the notion of necessity altogether (cf. Pivcevic 1970 , 38 41.
Another account ties the metaphysical notion of necessity constitutively to causation and explanation (Kment 2006a,b).
Unsurprisingly, there is also a corresponding notion of necessity (whose modality is often noted □).
A further possibility for carving out the distinctive notion of necessity grounding logical consequence is the notion of apriority.
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One kind of modal realism holds that there is a distinctive class of truths essentially involving the modal notions of necessity and possibility.
From his rejection of the distinction between fact and meaning flowed a system of ideas about experience, translation, learning, understanding and the notions of necessity and possibility.
The prevalent attitude of logical empiricism, following the celebrated discussion of "necessary connections" in nature by the Scottish philosopher David Hume (1711 76), was to be wary of invoking notions of necessity.
Intuitively, the notions of necessity and possibility are connected in the following way: to say that a proposition is necessary is to say that it is not possible for it to be false, and to say that a proposition is possible is to say that it is not necessarily false.
Section 3 discusses questions about the relations between different notions of necessity.
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