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Single Idea 6878

[filed under theme 5. Theory of Logic / B. Logical Consequence / 8. Material Implication ]

Full Idea

'Implying' is different from 'inferring', because a person who infers draws the conclusion, but a person who implies leaves it to the audience to draw the conclusion.

Gist of Idea

A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience

Source

Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.279)

Book Ref

Mautner,Thomas: 'Dictionary of Philosophy' [Penguin 1997], p.279


A Reaction

I had always taken it just that the speaker does the implying and the audience does the inferring. Of course a speaker may not know what he or she is implying, but an audience must be aware of what it is inferring.


The 7 ideas with the same theme [truth of P implies the truth of Q]:

A valid hypothetical syllogism is 'that which does not begin with a truth and end with a falsehood' [Sext.Empiricus]
Implication cannot be defined [Russell]
It would be circular to use 'if' and 'then' to define material implication [Russell]
The paradoxes of material implication are P |- Q → P, and ¬P |- P → Q [Lemmon]
'Material implication' is defined as 'not(p and not-q)', but seems to imply a connection between p and q [Mautner]
A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience [Mautner]
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]