455 Answered Questions for the topic logic

05/23/22

Determine which statements are false or true. Justify your answer.
Determine which statements are false or true. Justify your answer.(a) {0, 1} ∈ {0, {0}, {1}, 1} (b) {a, b, c} ⊂ {a, {a, b}, c, {a, c}, {{{a, b, c}}}} (c) ∅ ⊆ {a, b, c} (d) {1} ∈ {{1}, 0, {{1}}}
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05/23/22

Let f(x) = 4x - 7 and g(x) = 6 - 2x where f(x) : R → R, and g(x) : R → R. Find (f ◦ g)(x).
Let f(x) = 4x - 7 and g(x) = 6 - 2x where f(x) : R → R, and g(x) : R → R. Find (f ◦ g)(x).
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05/23/22

Determine whether the function f(x) = 8 − 2x^2 , where f(x) : R → R, is bijective and explain why.
Determine whether the function f(x) = 8 − 2x2 , where f(x) : R → R, is bijective and explain why.
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05/23/22

For the sets A = {a, b, c, d, e}, B = {a, c, e, g, n}, C = {b, c, d, e, n, w} and the universal set is U = {a, b, c, d, e, g, n, w}. Find
For the sets A = {a, b, c, d, e}, B = {a, c, e, g, n}, C = {b, c, d, e, n, w} and the universal set is U = {a, b, c, d, e, g, n, w}. Find (a) |A ∩ B ∩ C| (b) C¯(c) A¯∪(B − C)
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05/23/22

Rewrite the statement ¬∃x (∀y∃tS(x, y, t) ∧ ∃tR(x, t)) so that negations appear only within predicates.
Rewrite the statement ¬∃x (∀y∃tS(x, y, t) ∧ ∃tR(x, t)) so that negations appear only within predicates.
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04/07/22

Microinstructions code phrases.
Suppose you come across the following binary microinstructions in the format described in class.  Describe the micro-operations that each one executes. Write the phrases for each.1.    0001 0001... more
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04/07/22

microinstructions
Give the binary microinstruction corresponding to each of the following sets of micro-operations. should be 32 bits for each. Increment SP by 1. Store the results back in the SP. Load the... more
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Logic

04/07/22

Consider two subsets P and Q of a universal set U. Given that n(U) = 104, n(P) = 63, n(P'∩Q) = 28 and n(P∩Q) = 16, find: (a) n(Q) (b) n(P∩Q') (c) n(P'∩Q') (d) n((P' ∩Q) ∪(P ∩ Q')) (e) n((P∩Q)')
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Logic

04/07/22

Consider two subsets P and Q of a universal set U. Given that n(U) = 104, n(P) = 63, n(P'∩Q) = 28 and n(P∩Q) = 16, find: (a) n(Q)
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03/18/22

How to use natural deduction to prove a statement.
Prove the following statement using natural deduction rules (such as conjunction elimination, implication introduction, etc.)[(p ∧ q) ∨ (p ∧ r)] ⊢ [p ∧ (q ∨ r)]
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03/18/22

How to use natural deduction to prove a statement.
Prove the following statements using natural deduction rules (such as conjunction elimination, implication introduction, etc.)a. [(p ∧ q) ∨ (p ∧ r)] ⊢ [p ∧ (q ∨ r)]b. [¬p, p ∨ q] ⊢ [q]c. [¬p ∧ ¬q]... more
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03/18/22

What is the last digit of 3 raise to 278,885
What is the last digit of 3278,885?a. 3b. 9c. 7d. 1I have answered a) 3. Am I correct?
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03/16/22

Which of the Following is a Binary Operation if a and b are in S?
Which of the Following is a Binary Operation if a and b are in S?a. a*b = ab + b2, S = set of negative numbersb a*b = square root of a+b ; S = set of positive numbersc a*b = ab-a; S = set of real... more
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03/05/22

Find the missing base
Find the missing base.Write your answer as a whole number.a3 =27I've tried a few different methods but none work right please help!!!kind of in home school as in I teach myself a lot of the stuff... more
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Logic

02/17/22

Why is a bowl more useful when empty?
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Logic

02/14/22

On the island of knights and knaves
On the island of knights and knaves you come across a group of 30 people wearing tags numbered 1 to 30. Person 1 says exactly one of us is a knave. Person 2 says exactly two of us are knaves,... more
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Logic

12/16/21

Derivation help please!!!
I'm racking my brains out trying to remember!!!!!!! It looks so simple but I'm totally lost??? please help!!!(Ǝx)Rx answer:(Ǝx)(Rx v Dx)
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Logic Philosophy

12/16/21

help with this derivation

need help with this one derivation problem please and thank[(Ǝx)Cx v Fa) > (∀y)Hy,(Ǝx)Cx] |- (∀y)Hy v (Ǝz)Kz
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Logic Philosophy

12/14/21

A v ~~ B is a well formed formula, True or False
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12/10/21

You have fifteen identical-looking coins. One of the coins is counterfeit and weighs more than the other coins.

You have fifteen identical-looking coins. One of the coins is counterfeit and weighs more than the other coins. The only scale available is a balance scale. This scale lets you put any number of... more
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12/10/21

You have nine identical-looking coins. One of the coins is counterfeit and weighs less than the other coins.
You have nine identical-looking coins. One of the coins is counterfeit and weighs less than the other coins. The only scale available is a balance scale. This scale lets you put any number of these... more
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11/21/21

How do you perform addition or subtraction with two binary numbers?
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11/18/21

Need help to complete it please
I am proving it valid by natural deduction.. Can someone please tell me if there is any mistake 1 B → (C ⇔ D) Premise2 B Premise3 ~C Premise4 C ⇔ D =>E 1,25 D →... more
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11/16/21

Logical reasoning question need help
For each of the following use natural deduction to provide a derivation which shows the argument to be valid. 1. A → B (Use subderivation, not transitivity)B → CA → C 2. P → Q(Q ∨ R) → ~(D ⇔... more
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11/16/21

Logical reasoning validity using natural deduction
For each of the following use natural deduction to provide a derivation which shows the argument to be valid. 1. ~P~P → QQ 2. ~FF ∨ ~G~G ∨ H3. ~X → Y~XY → ~Z~Z
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