Hypernym for "conjunction" and "disjunction"

Is there a hypernym for conjunction and disjunction, in their logical senses? Just using "junction" doesn't seem right to me.

• Are you talking about a computer term, or a linguistic term? If you mean linguistic, then conjunction itself suffices. For example, English coördinating conjunctions include and, but, or, not, yet — and you will note that nor and or are disjunctive not conjunctive.
– tchrist
Commented Mar 10, 2013 at 14:47
• They are both logical operators. But they aren't the only ones. Commented Mar 10, 2013 at 14:53
• "Connective" is a term that seems to have served as a hypernym for conjunction, disjunction, negation and conditional (logic).
– Kris
Commented Mar 10, 2013 at 14:56
• (I'm assuming disjunction means OR instead of XOR). Conjunction, disjunction (of either type), and material implication are dyadic functors, but negation is monadic, and an operator to boot. What distinguishes AND and OR is that they commute: A and B is equivalent to B and A, and ditto for A or B. Material implication is not commutative. Also, AND and OR are the functors defined by DeMorgan's Laws, so I could call them the commutative DeMorgan functors if I needed a name; but that's 9 syllables and "and and or" is only three, so I'm not sure I ever would. Commented Mar 10, 2013 at 15:50
• @Xophmeister It seems that you're right and people don't just say "junction", but what a pity! It seems so clean to say that disjunction and conjunction are both junction. If I had reason, I think I might use the term unapologetically.
– user28567
Commented Nov 5, 2013 at 9:11

What you are looking for is probably logical connective, also called logical operator. Disjunction and conjunction are examples of binary logical operators.

From Wikipedia:

In logic, a logical connective (also called a logical operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the sense of the compound sentence produced depends only on the original sentences.

P.S. Conventionally and etymologically, the correct term is hyperonym, not hypernym, since the Greek word for "name" is onoma/onuma, beginning with an o; hence syn-onym and an-onym-ous, not synnym and anymous.

• Thanks: In which case, it looks like there's no single word that further refines "connectives" to just AND and OR. Commented Mar 10, 2013 at 17:27
• @Xophmeister: Not to my knowledge...but then you can just say "conjunctions and disjunctions"! Commented Mar 10, 2013 at 18:07
• Etymologically, hyperonym makes more sense from a Greek point of view (though arguably not from an English one); but conventionally, the term is hypernym. In all my years studying and working as a linguist, I've never seen anyone actually use hyperonym in the wild. Unlike synonym and anonymous, of course, hypernym was coined less than 50 years ago in English, so it really only has to adhere to English rules of derivation… and I think most English speakers would consider the suffix to be -nym. Commented Dec 9, 2016 at 0:37
• @JanusBahsJacquet: I believe you and I understand your point. But the conventions I am talking about are not those current among linguists, but among those users of the word who concern themselves with style, in English or otherwise. (Frankly, I don't think anyone else cares at all as long as it's intelligible.) Commented Dec 9, 2016 at 0:54

If you are looking for a more general term rather than just being restricted to Mathematical Logic, the terms to use are Joint, Joint-relation or Joint-relationship.

Remember Relational Databases (RDBMS)? The term need not pertain to RDBMS, but Relational model syntax exhibits a viable relationship with modern business and legal language usage.

The following are verbs to attain relationships or anti-relationships:

• conjunct:
a simultaneous or peer relationship