the.com/disjunction

the logical OR that's so generous it accepts both answers at once

means A separation or disconnection between things, or in logic, a statement joining propositions with 'or' that's true when at least one part is true.

from From Latin 'disjunctio,' a noun built from 'disjungere' meaning 'to unyoke' — the prefix 'dis-' (apart) plus 'jungere' (to join, the same root that gives us 'junction,' 'join,' and even 'yoke'). So at heart it's the picture of two oxen being unhitched from one another. It entered English by way of the language of logicians and grammarians, who needed a tidy name for the 'or' that pulls alternatives apart.

inclusive default
Logicians' OR means this, that, or both
symbol
Written with a wedge, the upward V
De Morgan
Flips to conjunction when negated
exclusive twin
XOR rejects the cheating both-at-once answer
grammar use
Also names a clause split by or
for instance

law of excluded middle — aristotle's principle that a statement must be either true or false, with no third option

inclusive vs exclusive or — programming and logic distinction: inclusive or (a or b or both) vs exclusive or (a or b but not both)

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