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Full Idea
If p entails q, then p is sufficient for q, and q is necessary for p.
Clarification
'Sufficient for q' means it must occur; 'necessary for p' means no p without it
Gist of Idea
If p entails q, then p is sufficient for q, and q is necessary for p
Source
Roger Scruton (Modern Philosophy:introduction and survey [1994], 15.7)
Book Ref
Scruton,Roger: 'Modern Philosophy: introduction and survey' [Sinclair-Stevenson 1994], p.194
Related Idea
Idea 4739 In "if and only if" (iff), "if" expresses the sufficient condition, and "only if" the necessary condition [Engel]
| 21675 | Some facts are indispensable for an effect, and others actually necessitate the effect [Stoic school, by Cicero] |
| 13309 | That something is a necessary condition of something else doesn't mean it caused it [Seneca] |
| 12633 | Definitions often give necessary but not sufficient conditions for an extension [Fodor] |
| 2963 | There may only be necessary and sufficient conditions (and counterfactuals) because we intervene in the world [Lockwood] |
| 3891 | If p entails q, then p is sufficient for q, and q is necessary for p [Scruton] |
| 4739 | In "if and only if" (iff), "if" expresses the sufficient condition, and "only if" the necessary condition [Engel] |
| 14600 | Analysis aims at secure necessary and sufficient conditions [Schaffer,J] |
| 20388 | 'Necessary' conditions are requirements, and 'sufficient' conditions are guarantees [Davies,S] |