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valsi 
kei'i 
type 
experimental cmavo 
creator 
krtisfranks 
time entered 
Wed Dec 24 22:33:07 2014 
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English


Definition #63968
 Preferred
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selma'o 
KEIhI 
definition 
nonlogical connective/mekso operator  of arity only 1 xor 2: set (absolute) complement, or set exclusion (relative complement). Unary:
X_{1}^{C}; binary: X_{1}  X_{2}.

notes 
In the definition and in this note, due to parsing constraints, "" represents set exclusion; this is typically denoted as a backslash elsewhere. Each input must be a set or similar. The definition of the binary case expands to "the set of all elements which are in X_{1} but not in X_{2}". This word and operator has ordered input: 'X_{1} kei'i X_{2}' is not generally equivalent to 'X_{2} kei'i X_{1}'; in other words, the operator is not commutative. If unary (meaning that X_{1} is not explicitly specified in a hypothetical expression "X_{1}  X_{2}"), then X_{1} is taken to be some universal set O in/of the discourse (of which all other mentioned sets are subsets, at the least); in this case, the word operates as the set (absolute) complement of the explicitly mentioned set here (but not in the definition) designated as X_{2} for clarity (id est: the output is
O  X_{2} = X_{2}^{C}, where "^{C}" denotes the set absolute complement; in other words, it is the set of all elements which may be under consideration such that they are not elements of the explicitly specified set). When binary with both X_{1} and X_{2} explicitly specified, this word/operator is the set relative complement. Somewhat analogous to logical 'NOT' (just as set intersection is analogous to logical 'AND', and set union is analogous to logical '(AND/)OR'). The preferred description/name in English is "set (theoretic) exclusion". For reference: https://en.wikipedia.org/wiki/Complement_(set_theory) .

gloss words 

created by 
krtisfranks 
vote information 
1

time 
Thu Apr 26 03:27:00 2018 

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