more from Volker Halbach

### Single Idea 16334

#### [catalogued under 4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic]

Full Idea

In Weak Kleene Logic, with truth-value gaps, a sentence is neither true nor false if one of its components lacks a truth value. A line of the truth table shows a gap if there is a gap anywhere in the line, and the other lines are classical.

Gist of Idea

In Weak Kleene logic there are 'gaps', neither true nor false if one component lacks a truth value

Source

Volker Halbach (Axiomatic Theories of Truth [2011], 18)

Book Reference

Halbach,Volker: 'Axiomatic Theories of Truth' [CUP 2011], p.263

A Reaction

This will presumably apply even if the connective is 'or', so a disjunction won't be true, even if one disjunct is true, when the other disjunct is unknown. 'Either 2+2=4 or Lot's wife was left-handed' sounds true to me. Odd.