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04/25/21

Introduction to Logic

USE THE FIRST FOUR RULES OF INFERENCE TO DERIVE THE CONCLUSIONS OF THE FOLLOWING SYMBOLIZED ARGUMENTS.EXAMPLES:(1) 1. ∼C ⊃ (A ⊃ C) 2. ∼C / ∼A 3. A ⊃ C 1,2 MP4. ∼A 2,3 MT(2) 1. F ∨ (D ⊃ T) 2.... more

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Logic

04/09/21

Discrete Mathematics

Determine whether ( 𝑝∨𝑞)∧(𝑝→𝑟)∧( 𝑞→𝑠)→𝑟∨𝑠 is a Tautology or a contradiction

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Logic Discrete Math Proofs Advance Math

04/07/21

What is the most probable next number in the sequence?

What is the most probable next number in the sequence?2, 3, 5, 8, 13, 21,3 4, 55, 89, 144, 233, 377, 610,...

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Logic Discrete Math Proofs Sequences

04/07/21

Write an explicit formula for the sequence:

Write an explicit formula for the sequence: {-1/6 , 1/7, -1/8, 1/9, -1/10, 1/11, ...)an= ?

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Logic

04/03/21

If the statement that ‘all women are faithful persons’ is false, what is the immediate inference of this ‘A’ statement? Use the Traditional Square of Opposition to help you answer this question.

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Logic

04/03/21

Take the term ‘money’ and provide a definition that is too narrow

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Logic Math Algebra Mathematics

04/01/21

how many students who only like science?

In a class there are 50 students, with 12 students liking math and science lessons. If there are 2 students who do not like mathematics or science and the ratio of students who only like... more

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Logic

03/29/21

question asked below

Write the contrapositive of the statement: If nobody likes coffee, then nobody likes Starbucks.

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Logic Computer Programming Computer Science Maths

03/27/21

Show that {+, −}∗ , the set of all finite strings of pluses and minuses is enumerable by listing all its elements.

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Logic Sets Quantifiers

03/20/21

Q. Write down the negations of the following statements: a. Every news site reported on the Winter Olympics. b. There is some real number which is larger than any integer. c. For all nonzero real... more

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Logic

03/18/21

Use laws of logic to prove ¬ ( p → ¬ q ) ∨ ( q ∧ ( p ∨ ¬ q)) is equivalent to ( p and q)

Please write a detailed answer using the laws used to get to (p and q)

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Logic

03/12/21

Which of the following arguments are valid? Explain your reasoning. (1) I have a student in my class who is getting an A. Therefore, John, a student in my class, is getting an A

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Logic Discrete Math Logic Mathematics

03/09/21

Thanks a lot !!

State the scope of each quantifier in the following expression:“∀y, [R(x, y) ^ ∃x (P(x, y) ^ ~Q(x, y))]and state whether the expression above is a statement. Explain your answer.

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Logic Discrete Mathematics

03/09/21

Let A = p ↔ [q ^ (~ r -> p)].

(a)Construct a truth table for the expression A. Hence determine whether theexpression A is a tautology, contradiction, or contingency. (b) Obtain the Principal Disjunctive Normal Form (PDNF) and... more

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Logic Discrete Math

03/08/21

Method of Formal Proofs

People are happy if and only if they are compassionate. Nobody is both happy and compassionate. Hence people are both unhappy and uncompassionate.I need to provide formal proofs of the validity of... more

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Logic Discrete Math

03/06/21

Let A = {−5, −4, −3, −2, −1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n ∈ A, m R n ⇔ 5|(m^2 − n^2). It is a fact that R is an equivalence relation on A.

Requirements:Use set-roster notation to list the distinct equivalence classes of R. Enter your answer as a comma-separated list of sets.

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Logic Discrete Math Proofs

03/05/21

Find the least non-negative integer that satisfies this existence theorem:

Find the least non-negative integer that satisfies this existence theorem: There exists n is an element of Z (real number) 2n^2 - 7n + 2is prime.

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Logic

03/03/21

Determine the truth value of each proposition by constructing truth tables. 1. (𝑝 ∧ ~𝑞) → 𝑟 4. (𝑝 ↔ 𝑞) → (~𝑝 → ~𝑞) 2. 𝑝 ∨ (𝑝 → 𝑞) 5. ∧ 𝑞) ∨ (~𝑝 ∧ ~𝑞) 3. (𝑝 → 𝑞) ∧ (𝑞 → 𝑝)

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Logic

03/01/21

Sonya worked 10 hours more than Devin last month. If Sonya worked 8 hours for every 2 hours Devin worked, how many hours did they each work?

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Logic Math

01/12/21

Find 3 consecutive even integers such that the sum of 3 times the first, 5 times the second, and 2 times the third is 418.

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Logic Philosophy

12/17/20

Prove that the following argument is valid in QL: ∃x[~Bxm& ∀y(Cy → ~Gxy)], ∀z[~∀y(Wy →Gzy) → Bzm], ∴∀x(Cx → ~Wx)

General ways to approach and how to start would be greatly appreciated.

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Logic Philosophy Proofs

12/17/20

Is the following a valid argument: B v C, C v D, ∴A→C ? Why or why not? (see description for full question)

Imagine that you have a set of sentences in QL named A, B, C, and D, and assume that A and B are tautologies, C is contingent, and D is a contradiction. Is the following a valid argument: B v C, C... more

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Logic

12/14/20

fallicy and illicit minor and major

20. All whales are mammals. All mammals are animals. Therefore, all animals are whales. a) fallacy of four terms b) illicit major c) illicit minor d) undistributed middle21. All terriers... more

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Logic Math

12/14/20

Language Proof and Logic Exercise 36 On Fitch Proofs

Premise 1: A v BPremise 2: A v CGoal: A v (B and C)I'm having a very difficult time figuring out how to get the goal. Please explain step-by-step as to how I do so. Thank you.Here are the... more

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Logic Physics Philosophy Algebra

11/22/20

2 candles in a supermarket

In the supermarket we can buy two different types of candles. · The first type is 20 𝑐𝑚 long when new and burns at a rate of 2.5 𝑚𝑚 per hour. · The second type is 24.5 𝑐𝑚 long when new... more

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Introduction to Logic

Discrete Mathematics

What is the most probable next number in the sequence?

Write an explicit formula for the sequence:

If the statement that ‘all women are faithful persons’ is false, what is the immediate inference of this ‘A’ statement? Use the Traditional Square of Opposition to help you answer this question.

Take the term ‘money’ and provide a definition that is too narrow

how many students who only like science?

question asked below

Show that {+, −}∗ , the set of all finite strings of pluses and minuses is enumerable by listing all its elements.

Negation with quantifiers

Use laws of logic to prove ¬ ( p → ¬ q ) ∨ ( q ∧ ( p ∨ ¬ q)) is equivalent to ( p and q)

Which of the following arguments are valid? Explain your reasoning. (1) I have a student in my class who is getting an A. Therefore, John, a student in my class, is getting an A

Thanks a lot !!

Let A = p ↔ [q ^ (~ r -> p)].

Method of Formal Proofs

Let A = {−5, −4, −3, −2, −1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n ∈ A, m R n ⇔ 5|(m^2 − n^2). It is a fact that R is an equivalence relation on A.

Find the least non-negative integer that satisfies this existence theorem:

Determine the truth value of each proposition by constructing truth tables. 1. (𝑝 ∧ ~𝑞) → 𝑟 4. (𝑝 ↔ 𝑞) → (~𝑝 → ~𝑞) 2. 𝑝 ∨ (𝑝 → 𝑞) 5. ∧ 𝑞) ∨ (~𝑝 ∧ ~𝑞) 3. (𝑝 → 𝑞) ∧ (𝑞 → 𝑝)

Sonya worked 10 hours more than Devin last month. If Sonya worked 8 hours for every 2 hours Devin worked, how many hours did they each work?

Find 3 consecutive even integers such that the sum of 3 times the first, 5 times the second, and 2 times the third is 418.

Prove that the following argument is valid in QL: ∃x[~Bxm& ∀y(Cy → ~Gxy)], ∀z[~∀y(Wy →Gzy) → Bzm], ∴∀x(Cx → ~Wx)

Is the following a valid argument: B v C, C v D, ∴A→C ? Why or why not? (see description for full question)

fallicy and illicit minor and major

Language Proof and Logic Exercise 36 On Fitch Proofs

2 candles in a supermarket

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