342 Answered Questions for the topic logic

Logic Math

16h

What is Euler's identity and how does it differ or similar from Euler's Formula?

Please give a detailed answer on what euler's identity is and how it differs or is similar from Euler's formula.

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
Logic

30d

Discrete Mathematics

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

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,...

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= ?
Logic

04/03/21

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

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
Logic

03/29/21

question asked below

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

03/20/21

Negation with quantifiers

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
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)

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

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

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.

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.
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.

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
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
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

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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