# What is the logical function of “and/or”? [closed]

I feel like it must mean the following:

IF A, B, C and/or D

(A, B, C, and D) and (A, B, C, or D)

And I feel like it must not mean each of them individually and all of their combinations ((A), (B), (C), (D), (AB), (AC), (AD), (BB), (BC), (BD), (CD), (DD), (ABC), (ABD), (BCD), or (ABCD)).

Am I correct? If not why, and how to express all the combination of an array or set in natural language?

• Please, if you downvote, help me understand your reasons. Thank you! Oct 20, 2021 at 8:46

And/or is just a way to express non-exclusive or, because or is very often used as exclusive or in natural language.

I would parse "A, B, C and/or D" as "(A AND B AND C) OR D". Alternatively, if it is supposed to mean "A and/or B and/or C and/or D" then it just means "A OR B OR C OR D".

• After submitting and thinking about for a good hour in the hot tube (lol) I actually reached to your latter conclusion: In natural language, “or” is predominantly inclusive and “and” is predominantly conjunctive and when not, it functions as inclusive or depending on context. Oct 20, 2021 at 8:22
• For example: You can buy bananas, apples, plums and strawberries from the neighbor lady. (The context clearly indicated you don’t have to buy from each to buy one, and will function as an inclusive “or” which does involve all the combinations — in fact, all the permutations and variations too. Oct 20, 2021 at 8:25
• So if it means, A or B or C or D, what it really means is A, B, C or D. You can buy candies, fruits or plums (“or” is probably preferred over such a inclusively disjunctive “or” because it presumed you would chose alll, and therefor it conveys more truth. Oct 20, 2021 at 8:28
• Thank you for your answer and reassuring! Oct 20, 2021 at 8:28