# How to express the fact that clauses in a compound logical statement are connected by "AND"?

Say, I have three independent logical clauses, a, b, and c, and they are connected into one logical statement (a∧b∧c). How do I express this succinctly? Can I say, "a, b, and c are connected conjunctively?" I don't seem to get many hits for that construct on Google.

(This is a question about English language and usage, albeit in a very specific field, mathematical logics. I hope it's still on topic, here.)

• It is not clear what you are asking. Are you asking for a linguistic terminology or a for examples of syntax? Mar 2, 2016 at 10:09
• I'm asking for an expression. Mar 2, 2016 at 10:13
• The more specialised the field, the less likely there is to be an everyday expression to cover any specific situation in an adequate (well-defined) way. // Surely, in logic, 'John is tall, Ali is clever, and Betty is pretty' would be analysed as three independent statements (truth values 0, 1 and 1, perhaps)? Once you start using the logical and operator, you're outside the scope of everyday English; 'and' is not really the same English word any more. Though the term 'conjunction' is apparently used in the new sense also [Wikipedia]. Mar 2, 2016 at 10:26
• They are conjuncted -- though I would rather say they are anded, which's perfectly legal, simpler and makes the reader's life all that much easier.
– Kris
Mar 2, 2016 at 10:40
• To add to @Kris, and be more specific, putting a tiny bit more emphasis on and(AND) can make it work even better. "A, b, and c are AND-ed". Mar 2, 2016 at 12:37

You can say that a, b and c form a conjunction.

Although one might say that the conjunction is just the word and in that sentence, the word can also be used to refer to (a∧b∧c) as a whole.

Here is an example from a book in a relevant field:

, Symbolic Logic by Hardegree, page 104:

... the statement,
`(c) Jay and Kay are Sophomores,`
is equivalent to the conjunction,
`Jay is a Sophomore, and Kay is a Sophomore,`
and is accordingly symbolized
`J & K`
- Hardegree, pp103-104, Symbolic Logic

Just say "All of these1 conditions2 are3 true."
________
1 Or "the above" or "the below", as applicable.
2 Or "statements".
3 Or "must be".