Wikipedia:WikiProject Logic/Standards for notation
From Wikipedia, the free encyclopedia
For consistency use the following preferred symbols and terminology in Logic articles
It is useful to have an agreed set of symbols and terminolgy. Not only do symbols vary from author to author, but any symbol may be written in a variety of fonts which may or may not appear on various browsers. The aim is consistency and legibility
Contents |
[edit] Symbols
For consistency use the following preferred symbols in Logic articles:
[edit] Truth Functional Connectives
Connective | Name | Symbol(s) | Preferred Symbol(s) | Template | <math> | See |
---|---|---|---|---|---|---|
Negation | NOT | ¬ or ¬ or ~ | ¬ | {{not}} | \neg | Logical negation |
Conjunction | AND | or & | & | {{and}} | & | Logical conjunction |
Inclusive disjunction | OR | {{or-}} | \vee | Logical disjunction | ||
Material implication | IMPLIES | or or or | {{imp}} | \rightarrow | Material conditional | |
Material equivalence (biconditional) | EQV or XNOR | or or = | {{eqv}} | \leftrightarrow | Logical biconditional | |
Identity (definition) | IS | or := or = | {{ident}} | \equiv | Law of identity | |
Neither-nor (joint denial) | NOR | ↓ or ↓ | ↓ | {{nor-}} | \downarrow | Logical NOR |
Not both (alternative denial) | NAND | ↑ | ↑ | {{nand}} | \uparrow | Alternative denial (nand) |
Exclusive disjunction | XOR | or + or or ≠ | {{xor}} | \nleftrightarrow | XOR |
[edit] Quantifiers
Quantifier | Description | Symbols | Preferred Symbol | Template | <math> |
---|---|---|---|---|---|
Universal | For every x | (x) or x or | {{all}} | \forall x | |
Existential | There exists an x | x or | {{exist}} | \exists x |
[edit] Metalogical Symbols
Name | Description/Usage | Symbol(s) | Preferred Symbol(s) | Template | <math> | See |
---|---|---|---|---|---|---|
Theorem | , , | {{tee}} | \vdash | Turnstile (symbol) | ||
Semantic Entailment, Logical Implication | , | {{models}} | \models | Logical implication | ||
True, tautology | or T or 1 | {{true}} | \top | Tautology (logic) | ||
False, contradiction | or F or 0 | {{false}} | \bot | Logical value |
[edit] Terminolgy
For consistency use the following terminology in Logic articles: To be drafted