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Single Idea 8713

[filed under theme 4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables ]

Full Idea

In the classical or realist view of logic the meaning of abstract symbols for logical connectives is given by the truth-tables for the symbol.

Gist of Idea

In classical/realist logic the connectives are defined by truth-tables

Source

Michèle Friend (Introducing the Philosophy of Mathematics [2007])

Book Ref

Friend,Michèle: 'Introducing the Philosophy of Mathematics' [Acumen 2007], p.128


A Reaction

Presumably this is realist because it connects them to 'truth', but only if that involves a fairly 'realist' view of truth. You could, of course, translate 'true' and 'false' in the table to empty (formalist) symbols such a 0 and 1. Logic is electronics.


The 9 ideas with the same theme [displaying logical relations in terms of true and false]:

Truth tables give prior conditions for logic, but are outside the system, and not definitions [Tarski]
Truth-tables are good for showing invalidity [Lemmon]
A truth-table test is entirely mechanical, but this won't work for more complex logic [Lemmon]
Truth-tables are dubious in some cases, and may be a bad way to explain connective meaning [Dummett]
Until the 1960s the only semantics was truth-tables [Enderton]
Each line of a truth table is a model [Fitting/Mendelsohn]
Truth tables assume truth functionality, and are just pictures of truth functions [Sider]
In classical/realist logic the connectives are defined by truth-tables [Friend]
Boolean connectives are interpreted as functions on the set {1,0} [Walicki]