contrapositive and converse of each statement. (a) If all birds fly, and if Tweety is a bird, then Tweety flies. (b) If it does not rain or it is not foggy, then the sailing race will be held and registration will go on. (c) If rye bread is for sale at Ace Bakery, then rye bread was baked that day.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 10TFE
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1.3 Let S be a set of people, C be the set of all countries, and let T be a predicate
defined over S × C such that T(x,y) is True if and only if x ES has traveled to
country y E C. Express each of the following statements by a simple English
sentence.
(a) (3x E S, T(x, France)) ^ (Vy E S, T(y, Japan))
(b) VxE S, 3y E C, T(x,y)
(c) Vx,z E S, 3y EC, T(x,y) → T(z, y)
1.4 Write each of the statements below in predicate logic, and then write the
contrapositive and converse of each statement.
(a) If all birds fly, and if Tweety is a bird, then Tweety flies.
(b) If it does not rain or it is not foggy, then the sailing race will be held and
registration will go on.
(c) If rye bread is for sale at Ace Bakery, then rye bread was baked that day.
Transcribed Image Text:1.3 Let S be a set of people, C be the set of all countries, and let T be a predicate defined over S × C such that T(x,y) is True if and only if x ES has traveled to country y E C. Express each of the following statements by a simple English sentence. (a) (3x E S, T(x, France)) ^ (Vy E S, T(y, Japan)) (b) VxE S, 3y E C, T(x,y) (c) Vx,z E S, 3y EC, T(x,y) → T(z, y) 1.4 Write each of the statements below in predicate logic, and then write the contrapositive and converse of each statement. (a) If all birds fly, and if Tweety is a bird, then Tweety flies. (b) If it does not rain or it is not foggy, then the sailing race will be held and registration will go on. (c) If rye bread is for sale at Ace Bakery, then rye bread was baked that day.
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