the.com/bivalence
Logic's insistence that every statement is true or false, no lurking third option.
means The principle that every proposition has exactly two possible truth values—true or false—with nothing in between.
from Built from Latin 'bi-' (two) plus 'valentia' (strength, worth, value), the same root that gives us 'valence' in chemistry for an atom's bonding capacity. Logicians borrowed that sense of 'value' to mean truth-value, so 'bivalence' literally means having exactly two of them. It belongs to a small family of logical terms—'multivalent,' 'many-valued logic'—that extend or challenge the two-valued assumption classical logic quietly relies on.
- not excluded middle
- related but distinct: bivalence is semantic, not just syntactic
- fuzzy logic rebels
- rejects bivalence to allow degrees of truth
- liar paradox
- exploits bivalence until it breaks under self-reference
- quantum skeptics
- some argue superposition defies bivalent truth values