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Full Idea
Each line of a truth table is, in effect, a model.
Gist of Idea
Each line of a truth table is a model
Source
M Fitting/R Mendelsohn (First-Order Modal Logic [1998], 1.6)
Book Ref
Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.12
A Reaction
I find this comment illuminating. It is being connected with the more complex models of modal logic. Each line of a truth table is a picture of how the world might be.
| 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] |