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Single Idea 12195

[filed under theme 5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence ]

Full Idea

Our ordinary standards for deeming arguments to be sound vary greatly from context to context. Even the package tourist's syllogism ('It's Tuesday, so this is Belgium') may meet the operative standards for soundness.

Gist of Idea

Soundness in argument varies with context, and may be achieved very informally indeed

Source

Ian Rumfitt (Logical Necessity [2010], Intro)

Book Ref

'Modality', ed/tr. Hale,B/Hoffman,A [OUP 2010], p.36


A Reaction

No doubt one could spell out the preconceptions of package tourist reasoning, and arrive at the logical form of the implication which is being offered.


The 11 ideas from 'Logical Necessity'

A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A]
Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt]
Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt]
Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt]
Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt]
There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt]
We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt]
A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt]
Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt]
If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt]
The logic of metaphysical necessity is S5 [Rumfitt]