more from this thinker | more from this text
Full Idea
Boolean connectives are interpreted as functions on the set {1,0}.
Gist of Idea
Boolean connectives are interpreted as functions on the set {1,0}
Source
Michal Walicki (Introduction to Mathematical Logic [2012], 5.1)
Book Ref
Walicki,Michal: 'Introduction to Mathematical Logic' [World Scientific 2012], p.143
A Reaction
1 and 0 are normally taken to be true (T) and false (F). Thus the functions output various combinations of true and false, which are truth tables.
| 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] |