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Translate each of the following sentences into a symbolic logic form. Then negate each f the logic forms and simplify the negated form as much as you can. 1) For any two integers a and b, if both ab and a+b are even, then both a and b are even. 2) For any integers a and b, a²(b + 3) is even iff a is even or b is odd. 3) There exists someone whom you can fool all the time. 4) Between any two distinct real numbers there is always another real number. *** for 3) Let P be set of all people,T be set of all times, and F(x, t) be a predicate of "You can fool x at time t.".

Translate each of the following sentences into a symbolic logic form. Then negate each f the logic forms and simplify the negated form as much as you can. 1) For any two integers a and b, if both ab and a+b are even, then both a and b are even. 2) For any integers a and b, a²(b + 3) is even iff a is even or b is odd. 3) There exists someone whom you can fool all the time. 4) Between any two distinct real numbers there is always another real number. *** for 3) Let P be set of all people,T be set of all times, and F(x, t) be a predicate of "You can fool x at time t.".

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Translate each of the following sentences into a symbolic logic form. Then negate each of the logic forms and simplify the negated form as much as you can. 1) For any two integers a and b, if both ab and a+b are even, then both a and b are even. 2) For any integers a and b, a²(b + 3) is even iff a is even or b is odd. 3) There exists someone whom you can fool all the time. 4) Between any two distinct real numbers there is always another real number. *** for 3) Let P be set of all people,T be set of all times, and F(x, t) be a predicate of "You can fool x at time t.".
Transcribed Image Text:Translate each of the following sentences into a symbolic logic form. Then negate each of the logic forms and simplify the negated form as much as you can. 1) For any two integers a and b, if both ab and a+b are even, then both a and b are even. 2) For any integers a and b, a²(b + 3) is even iff a is even or b is odd. 3) There exists someone whom you can fool all the time. 4) Between any two distinct real numbers there is always another real number. *** for 3) Let P be set of all people,T be set of all times, and F(x, t) be a predicate of "You can fool x at time t.".
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