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Single Idea 14184

[filed under theme 5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens ]

Full Idea

A puzzle about modus ponens is that the major premise is either false or unnecessary: A, If A then B / so B. If the major premise is true, then B follows from A, so the major premise is redundant. So it is false or not needed, and contributes nothing.

Gist of Idea

In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway

Source

Stephen Read (Formal and Material Consequence [1994], 'Repres')

Book Ref

'Philosophy of Logic: an anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.243


A Reaction

Not sure which is the 'major premise' here, but it seems to be saying that the 'if A then B' is redundant. If I say 'it's raining so the grass is wet', it seems pointless to slip in the middle the remark that rain implies wet grass. Good point.


The 7 ideas from 'Formal and Material Consequence'

If logic is topic-neutral that means it delves into all subjects, rather than having a pure subject matter [Read]
Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read]
If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read]
In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read]
Logical connectives contain no information, but just record combination relations between facts [Read]
Conditionals are just a shorthand for some proof, leaving out the details [Read]
Maybe arguments are only valid when suppressed premises are all stated - but why? [Read]