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For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer. a) Coffee or tea comes with dinner. b) A password must have at least three digits or be at least eight characters long. c) The prerequisite for the course is a course in number theory or a course in cryptography. d) You can pay using U.S. dollars or euros.

Name: Problem 21, Chapter 1: Discrete Mathematics and its Applications
Uploaded: 2019-11-28T02:15:13-08:00
Duration: 1 min 11 s
Channel: James Chok
Description: For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer. a) Coffee or tea comes with dinner. b) A password must have at least three digits or be at least eight characters long. c) The prerequisite for the course is a course in number theory or a course in cryptography. d) You can pay using U.S. dollars or euros.

   For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer.
a) Coffee or tea comes with dinner.
b) A password must have at least three digits or be at least eight characters long.
c) The prerequisite for the course is a course in number theory or a course in cryptography.
d) You can pay using U.S. dollars or euros.

Discrete Mathematics and its Applications

Kenneth Rosen 8th Edition

Chapter 1, Problem 21

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Solved by Expert James Chok

11/28/2019

Step 1

" — Inclusive or intended: exclusive. Outcome: natural language implies you get one of the two, not both. Show more…

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For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer. a) Coffee or tea comes with dinner. b) A password must have at least three digits or be at least eight characters long. c) The prerequisite for the course is a course in number theory or a course in cryptography. d) You can pay using U.S. dollars or euros.

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Key Concepts

Exclusive Disjunction

Exclusive disjunction is a logical operator where exactly one of the alternatives is true, but not both. In everyday language, this is often used to indicate a choice where selecting one option precludes the selection of the other. This is common in situations where mutually exclusive options are presented, such as choosing one form of payment over another.

Inclusive Disjunction

Inclusive disjunction is a logical operator that means one or both alternatives can be true. In natural language, this is often used when the statement allows for the possibility that more than one option may apply simultaneously. For example, if a condition needs to be satisfied by either of two properties, including the possibility that both conditions hold true, this represents an inclusive or.

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