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For example, in Vietnamese, the familiar word for "I" (ta) pluralizes to inclusive we (chúng ta), and the formal or cold word for "I" (tôi) pluralizes into exclusive we (chúng tôi). In Samoan , the singular form of the exclusive is the regular word for "I", and the singular form of the inclusive may also occur on its own and then also means ...
Exclusive or, exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs, XOR is true if and only if the inputs differ (one is true, one is false). With multiple inputs, XOR is true if and only if the number of true inputs is odd ...
Because the logical or means a disjunction formula is true when either one or both of its parts are true, it is referred to as an inclusive disjunction. This is in contrast with an exclusive disjunction, which is true when one or the other of the arguments are true, but not both (referred to as exclusive or, or XOR).
Venn diagram for "A or B", with inclusive or (OR) Venn diagram for "A or B", with exclusive or (XOR) The fallacy lies in concluding that one disjunct must be false because the other disjunct is true; in fact they may both be true because "or" is defined inclusively rather than exclusively. It is a fallacy of equivocation between the operations ...
References on English usage strongly criticize the phrase as "ugly" [2] and "Janus-faced". [4] William Strunk, Jr., and E.B. White, in their classic The Elements of Style–recognized by Time one of the 100 best and most influential non-fiction books written in English since 1923, [6] say and/or is "A device, or shortcut, that damages a sentence and often leads to confusion or ambiguity". [3]
It is sometimes called the inclusive OR gate to distinguish it from XOR, the exclusive OR gate. [4] The behavior of OR is the same as XOR except in the case of a 1 for both inputs. In situations where this never arises (for example, in a full-adder ) the two types of gates are interchangeable.
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Here is an example of an argument that fits the form conjunction introduction: Bob likes apples. Bob likes oranges. Therefore, Bob likes apples and Bob likes oranges. Conjunction elimination is another classically valid, simple argument form. Intuitively, it permits the inference from any conjunction of either element of that conjunction.