ii. Let F(x,y) be the open sentence "x can fool y" where the domain ofdiscourse is the set of all people in the world. Express each of thesestatements using logical quantifiers.c. Everybody can fool somebody.e. Everyone can be fooled by somebody.f. There is somebody who can be fooled by everybody.

Answered: Image /qna-images/answer/d45e5046-dba1-4ff8-adb8-d728c545e288.jpg

Answered: ii. Let F(x,y) be the open sentence "x…

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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8. Use quantifiers and predicates with more than one variable to express this statement: “There a person in your class who has taken every math class at Liberty University." Let the domain of x be all people and the domain of y be all classes.
The rule of inference that permits us to derive a specific instance from a universal statement is A.Existential Generalization.B. Existential Instantiation.C. Universal Generalization.D. Universal Instantiation.
Determine whether the logical statement is a tautology, a contradiction or neither: (p→q) → (p v q). [Hint: Use a truth table with 4 rows; you need to check the last row; all T is a tautology: all F is a contradition; a mixture of T and F is neither.] Example statement: If adopting new software leads to savings, then we'll either adopt new software or save money. The parentheses fit in the statement like this: If (adopting new software leads to savings), then (we'll either adopt new software or save money). This interpretation gives adopting new software leads to savings = If we adopt new software, then we'll save money O a. Tautology O b. Neither Oc. Contradiction
3. How to express the associativity of V as a tautology?
Using relational predicates ( e.g. F(s,m) for, say, s can fool m), translate the following sentences into predicate logic. You can use English words for the quantification symbols (such as For All x instead of v x) if necessary Also give the negatives of each sentence in English. a) Everybody can fool somebody b) There is no-one who can fool everyone. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Solve ASAP
(10) Let E denote the set of even integers, and O denote the set of odd integers. (a) Let P = "Every integer is either even or odd." Write P using logic symbols (and common notation for sets, like E, Z, N, Q etc).
JUST ANSWER A) AND D)
Solve all
1. Let the domain be all integers. Given the following predicate statement: Vx (== = 0 0 a classmate says that this statement is true because when x is 1, 2, 3, or 4, then 1 and why the statement is actually false. = 0 2 = 0 - 3 = 0 AIO 4 = 0. Explain why the student's reasoning is incorrect

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