Common Logical Connectives
| Name / Symbol | Truth table | Venn | |||||
|---|---|---|---|---|---|---|---|
| P = | 0 | 1 | |||||
| Truth/Tautology | ⊤ | 1 | 1 | ||||
| Proposition P | 0 | 1 | |||||
| False/Contradiction | ⊥ | 0 | 0 | ||||
| Negation | ¬ | 1 | 0 | ||||
| Binary connectives | P = | 0 | 0 | 1 | 1 | ||
| Q = | 0 | 1 | 0 | 1 | |||
| Conjunction | ∧ | 0 | 0 | 0 | 1 | ||
| Alternative denial | ↑ | 1 | 1 | 1 | 0 | ||
| Disjunction | ∨ | 0 | 1 | 1 | 1 | ||
| Joint denial | ↓ | 1 | 0 | 0 | 0 | ||
| Material conditional | → | 1 | 1 | 0 | 1 | ||
| Exclusive or | 0 | 1 | 1 | 0 | |||
| Biconditional | ↔ | 1 | 0 | 0 | 1 | ||
| Converse implication | ← | 1 | 0 | 1 | 1 | ||
| Proposition P | 0 | 0 | 1 | 1 | |||
| Proposition Q | 0 | 1 | 0 | 1 | |||
| More information | |||||||
Read more about this topic: Logical Connective
Famous quotes containing the words common and/or logical:
“The great subverter of Pyrrhonism or the excessive principles of scepticism is action, and employment, and the occupations of common life.”
—David Hume (1711–1776)
“She thinks of the 4 a.m. lonelinesses that have folded
her up like death, discordant, without logical and
beautiful conclusion. Her teeth break off at the edges.
She would speak.”
—Joy Harjo (b. 1951)
Related Subjects
Related Phrases
Related Words