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Single Idea 3891

[filed under theme 1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions ]

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]


The 29 ideas from 'Modern Philosophy:introduction and survey'

Why should you believe someone who says there are no truths? [Scruton]
Philosophy aims to provide a theory of everything [Scruton]
Logical positivism avoids scepticism, by closing the gap between evidence and conclusion [Scruton]
In the Cogito argument consciousness develops into self-consciousness [Scruton]
Wittgenstein makes it impossible to build foundations from something that is totally private [Scruton]
A true proposition is consistent with every other true proposition [Scruton]
The pragmatist does not really have a theory of truth [Scruton]
We only conceive of primary qualities as attached to secondary qualities [Scruton]
Membership is the greatest source of obligation [Scruton]
Maybe our knowledge of truth and causation is synthetic a priori [Scruton]
Hume assumes that necessity can only be de dicto, not de re [Scruton]
'Cause' used to just mean any valid explanation [Scruton]
If p entails q, then p is sufficient for q, and q is necessary for p [Scruton]
Every event having a cause, and every event being determined by its cause, are not the same [Scruton]
We may define 'good' correctly, but then ask whether the application of the definition is good [Scruton]
The categorical imperative is not just individual, but can be used for negotiations between strangers [Scruton]
Any social theory of morality has the problem of the 'free rider', who only pretends to join in [Scruton]
Epistemology is about the justification of belief, not the definition of knowledge [Scruton]
My belief that it will rain tomorrow can't be caused by its raining tomorrow [Scruton]
The representational theory says perceptual states are intentional states [Scruton]
Touch only seems to reveal primary qualities [Scruton]
The conceivable can't be a test of the possible, if there are things which are possible but inconceivable [Scruton]
Measuring space requires no movement while I do it [Scruton]
'Existence' is not a predicate of 'man', but of the concept of man, saying it has at least one instance [Scruton]
If possible worlds are needed to define properties, maybe we should abandon properties [Scruton]
Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]
If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]
If primary and secondary qualities are distinct, what has the secondary qualities? [Scruton]
The very concept of a substance denies the possibility of mutual interaction and dependence [Scruton]