For the statement "Some birds do not fly" complete the following steps.(a) Write a logical form(b) Form negation of the statement from (a) so that there is no negation symbol to the left of the quantifier(c) Express negation found in (b) in simple English

Given the statement ''Some birds do not fly''.

Answered: For the statement "Some birds do not…

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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Q4. Simplify the following sentences in predicate logic so that all the negation symbols are directly in front of a predicate. (For example, Vr (-0(1)) (-E(r))) is simplified, because the negation symbols are directly in front of the predicates O and E. However, Vr -(P(x) V E(x)) is not simplified.) (i) -(3r (P(x) V (E(x) → S(x)))) (ii) -(Vz (E(r) A (P(x) →¬(3y G(x, y))) Q5. Write a sentence in predicate logic (using the same predicates as above) which is true when the domain is the class of positive integers (1, 2, 3, ...), but is false when the domain is the class of all integers (...,-2, -1,0, 1, 2, ...). (You do not need to explain your answer.)
Symbolize each of the following sentences into TFL, first giving a symbolization key Felice doesn’t like spinach or kale, but she likes collard greens. Mia will buy spinach only if the farmer’s market doesn’t have kale. No one likes to be cold, but some people love the snow.
Use DeMorgan's Laws to write the negation of the expression below (without using the phrase "it is not the case that"): I will attend the football game or I will visit my parents. Use DeMorgan's Laws to write the negation of the expression below (without using the phrase "it is not the case that"): There is at least one slice of pizza in the box. Use DeMorgan's Laws to write the negation of the expression below (without using the phrase "it is not the case that"): You didn't practice writing truth tables and you didn't study DeMorgan's Laws. Use DeMorgan's Laws to write the negation of the expression below (without using the phrase "it is not the case that"): Everyone in Texas lost power during the recent winter storm.
4d. In the following exercises I give you the symbols that you will use for predicates or relations. Your task is to paraphrase the English sentences in quantified relational logic. For example, suppose you have the English sentence “Something is missing” (M, missing), then the paraphrase is ∃xMx. (iv) Only white swans exist. (S, swan; W, white) (v) A swan is white. (S, swan; W, white) (The image is just formuals if your not familiar with this)
For logic Determine whether each of these pairs are equivalent. (a) (∀x)(Fx • Gx) v (∀x) (~Fx • Gx) (∀x)Gx (b) (∃x)(Fx • Gx) v (∃x)(~Fx • Gx) (∃x)Gx
Write sentences for(a)the inverse, (b) the converse, and (c)the contrapositive of the implication “Not eating dessert is necessary for being on a diet.” (a) (b) (c)
Using boolean algebra, please answer (9) and (10). Show all steps
Write negations of the following statements (a) Vr EZ: if r is divisible by 40, then z is divisible by 10 and z is divisible by 8. (b) 3r E Z: z is a multiple of 21 and z is a multiple of 15.
Pls help ASAP
Discrete Math
Translate the English sentences: (a) At least one green dragons can fly. (b) A dragon can fly only if it is green. each into a predicate logic formula, using the predicates dragon, green and canFly.

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For the statement "Some birds do not fly" complete the following steps. (a) Write a logical form (b) Form negation of the statement from (a) so that there is no negation symbol to the left of the quantifier (c) Express negation found in (b) in simple English