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Full Idea
A truth-table test is entirely mechanical, ..and in propositional logic we can even generate proofs mechanically for tautological sequences, ..but this mechanical approach breaks down with predicate calculus, and proof-discovery is an imaginative process.
Gist of Idea
A truth-table test is entirely mechanical, but this won't work for more complex logic
Source
E.J. Lemmon (Beginning Logic [1965], 2.5)
Book Ref
Lemmon,E.J.: 'Beginning Logic' [Nelson 1979], p.91
| 19195 | Truth tables give prior conditions for logic, but are outside the system, and not definitions [Tarski] |
| 9537 | Truth-tables are good for showing invalidity [Lemmon] |
| 9538 | A truth-table test is entirely mechanical, but this won't work for more complex logic [Lemmon] |
| 19060 | Truth-tables are dubious in some cases, and may be a bad way to explain connective meaning [Dummett] |
| 9724 | Until the 1960s the only semantics was truth-tables [Enderton] |
| 9738 | Each line of a truth table is a model [Fitting/Mendelsohn] |
| 13705 | Truth tables assume truth functionality, and are just pictures of truth functions [Sider] |
| 8713 | In classical/realist logic the connectives are defined by truth-tables [Friend] |
| 17764 | Boolean connectives are interpreted as functions on the set {1,0} [Walicki] |