Combining Philosophers

Ideas for H.Putnam/P.Oppenheim, Plotinus and Stephen Read

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6 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read]
     Full Idea: Belief that every valid argument is valid in virtue of form is a myth. ..Validity is a question of the impossibility of true premises and false conclusion for whatever reason, and some arguments are materially valid and the reason is not purely logical.
     From: Stephen Read (Formal and Material Consequence [1994], 'Logic')
     A reaction: An example of a non-logical reason is the transitive nature of 'taller than'. Conceptual connections are the usual example, as in 'it's red so it is coloured'. This seems to be a defence of the priority of semantic consequence in logic.
If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read]
     Full Idea: In 'A is taller than B, and B is taller than C, so A is taller than C' this can been seen as a matter of meaning - it is part of the meaning of 'taller' that it is transitive, but not of logic. Logic is now seen as the study of formal consequence.
     From: Stephen Read (Formal and Material Consequence [1994], 'Reduct')
     A reaction: I think I find this approach quite appealing. Obviously you can reason about taller-than relations, by putting the concepts together like jigsaw pieces, but I tend to think of logic as something which is necessarily implementable on a machine.
Maybe arguments are only valid when suppressed premises are all stated - but why? [Read]
     Full Idea: Maybe some arguments are really only valid when a suppressed premise is made explicit, as when we say that 'taller than' is a transitive concept. ...But what is added by making the hidden premise explicit? It cannot alter the soundness of the argument.
     From: Stephen Read (Formal and Material Consequence [1994], 'Suppress')
A theory of logical consequence is a conceptual analysis, and a set of validity techniques [Read]
     Full Idea: A theory of logical consequence, while requiring a conceptual analysis of consequence, also searches for a set of techniques to determine the validity of particular arguments.
     From: Stephen Read (Thinking About Logic [1995], Ch.2)
Logical consequence isn't just a matter of form; it depends on connections like round-square [Read]
     Full Idea: If classical logic insists that logical consequence is just a matter of the form, we fail to include as valid consequences those inferences whose correctness depends on the connections between non-logical terms (such as 'round' and 'square').
     From: Stephen Read (Thinking About Logic [1995], Ch.2)
     A reaction: He suggests that an inference such as 'round, so not square' should be labelled as 'materially valid'.
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read]
     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.
     From: Stephen Read (Formal and Material Consequence [1994], 'Repres')
     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.