ABSTRACT
In English this word has two senses: INCLUSIVE ('and/or') and EXCLUSIVE ('either, but not both'). An example of the exclusive sense: https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203061350/f5ce7580-7c0c-4392-aeab-0c1bd683fe20/content/fig167_B.jpg" xmlns:xlink="https://www.w3.org/1999/xlink"/> and of the inclusive sense: https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203061350/f5ce7580-7c0c-4392-aeab-0c1bd683fe20/content/fig168_B.jpg" xmlns:xlink="https://www.w3.org/1999/xlink"/>
Applicants for language courses must have some prior knowledge of French or German.
To avoid ambiguity, 'or' has only one sense in statement logic. It is INCLUSIVE: 'and/or'. A statement with the form P or Q is therefore true in any of three situations: when P alone is true, or when Q alone is true, or when both are.1 When is it false?
Since 'or' is always inclusive in statement logic, the exclusive sense, as in: 'You may have won either a trip to the Bahamas or £10,000 (but not both)' must have a different logical form. What is it?
(Make P: 'You may have won a trip to the Bahamas' and Q: 'You may have won £10,000'.)
