Translating Or A unless B The simplest translation: AvB.

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Presentation transcript:

Translating Or A unless B The simplest translation: AvB

Translating Or A unless B The simplest translation: AvB You may already have learned the following: A unless B A if not B -B > A But -B > A is equivalent to AvB.

Translating Or Neither A nor B You have already learned: -A&-B

Translating Or Neither A nor B You have already learned: -A&-B However there is a more direct way: Neither A nor B Not either A or B

Translating Or Neither A nor B You have already learned: -A&-B However there is a more direct way: Neither A nor B Not either A or B -(AvB)

Translating Or Neither A nor B You have already learned: -A&-B However there is a more direct way: Neither A nor B Not either A or B -(AvB) -A&-B is equivalent to -(AvB)

Translating Or Inclusive vs. Exclusive Or

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) A and/or B Exclusive: A or B but not both (A and B)

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) A and/or B Faculty and/or their Spouses may join the faculty club. Exclusive: A or B but not both (A and B)

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) A and/or B Faculty and/or their Spouses may join the faculty club. Exclusive: A or B but not both (A and B) Coffee, tea or milk?

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) A and/or B Faculty and/or their Spouses may join the faculty club. Exclusive: A or B but not both (A and B) Coffee, tea or milk? Declarative sentences of the form: A OR B ARE INCLUSIVE.

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) AvB ‘v’ indicates inclusive or

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) AvB ‘v’ indicates inclusive or (AvB) or both (A and B)

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) AvB ‘v’ indicates inclusive or (AvB) or both (A and B) (AvB) v (A&B) AvB is equivalent to (AvB)v(A&B)

Translating Or Inclusive vs. Exclusive Or Inclusive: A or B or both (A and B) AvB ‘v’ indicates inclusive or (AvB) or both (A and B) (AvB) v (A&B)

Translating Or Inclusive vs. Exclusive Or Exclusive: A or B but not both (A and B) (AvB) but not both (A and B)

Translating Or Inclusive vs. Exclusive Or Exclusive: A or B but not both (A and B) (AvB) but not both (A and B) (AvB) & not both (A and B) (AvB) & -(A&B) For more click here