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Single Idea 22437

[filed under theme 5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic ]

Full Idea

A logical language is not independent of ordinary language. It has its roots in ordinary language, and these roots are not to be severed.

Gist of Idea

Logical languages are rooted in ordinary language, and that connection must be kept

Source

Willard Quine (Mr Strawson on Logical Theory [1953], V)

Book Ref

Quine,Willard: 'Ways of Paradox and other essays' [Harvard 1976], p.150


A Reaction

Music to my ears. When you study logic, no one has to teach you what the words 'or' and 'if-then' mean, but they are disambiguated by the symbolism. The roots of logic are in ordinary talk of 'and', 'or' and 'not', which is the real world.


The 10 ideas from 'Mr Strawson on Logical Theory'

Quine holds time to be 'space-like': past objects are as real as spatially remote ones [Quine, by Sider]
If we understand a statement, we know the circumstances of its truth [Quine]
Normally conditionals have no truth value; it is the consequent which has a conditional truth value [Quine]
Good algorithms and theories need many occurrences of just a few elements [Quine]
It is important that the quantification over temporal entities is timeless [Quine]
Logical languages are rooted in ordinary language, and that connection must be kept [Quine]
Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine]
The logician's '→' does not mean the English if-then [Quine]
Philosophy is largely concerned with finding the minimum that science could get by with [Quine]
Logicians don't paraphrase logic into language, because they think in the symbolic language [Quine]