350 Answered Questions for the topic logic

#### Let E be a non-empty set. Let's consider the inclusion relation over P(E): (∀x, y ∈ P(E))(X ≤ Y ⇔ X ⊂ Y )

Let E be a non-empty set. Let's consider the inclusion relation over P(E): (∀x, y ∈ P(E))(X ≤ Y ⇔ X ⊂ Y )(a) Show that it is an order relation. (b) Show that it is total if, and only if, E = {a}I...
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Logic

05/31/21

#### Are quantifiers open statement or statement

05/26/21

#### provide a simple formula or rule that generates the terms of an integer sequence

For the lists of integers, provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine...
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05/23/21

#### Is (~p ∨ ~q ∨ r) the same as ~p ∨ (~q ∨ r)? [Truth Table]

I was wondering on whether or not (~p ∨ ~q ∨ r) the same as ~p ∨ (~q ∨ r)?In that case, it would also mean that (~p ∨ ~q ∨ r) is also the same as (~p ∨ ~q) ^ rIs this correct?-I was mainly just...
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05/22/21

#### Can someone help me with figuring this problem out!

A Street has 13 houses in a row as shown in the figure. Some residents in the first house tested positive for COVID-19. The virus spreads in two ways: it can spread to the next house, or jump...
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05/10/21

#### How do I solve this Derivation Proof in Logic ¬A → [(B ∧ A) → C]?

I have attempted to solve this question multiple times but keep getting it wrong. Im only allowed to use Conjunction Introduction/Elimination, Conditional Introduction/Elimination, Negation...
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Logic Math

05/09/21

#### 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.

Logic Philosophy

05/06/21

#### Intro to logic proofs

1.1. (J • R) H2. (R H) M3. (P J)/ M • P 2. 1. S N2. S Q/ N Q 3. 1. T G2. S G/ (T S) G 4. 1. (G J) (H Q)2. J • Q/ H

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....
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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

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,...

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= ?

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...
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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.

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...
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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)

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...
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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...
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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.

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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