456 Answered Questions for the topic logic

Logic

11/24/18

Translate the following sentence into symbolic form and form a truth table for it.

The bear ate honey or fish. If the bear ate fish, then it did not eat honey. Hence, it is not the case that the bear ate honey.

11/11/18

problem solving and logic

Given some numbers and you can use any of these numbers twice.How many 2-digit numbers can be made with the numbers.a) 3 and 4b) 3,4 and 5c) 3,4,5 and 6

ratios and logic

A landscape supplier buys 2 tonnes of fertiliser and fills an equal number of plastic bags (different sizes weighing differently) for resale. How many bags of each size will he have if:a) he fills... more
Logic Other

09/19/18

Use the laws of propositional logic to prove p ↔ (p ∧ r) ≡ ¬p ∨ r.

Use the laws of propositional logic to prove p ↔ (p ∧ r) ≡ ¬p ∨ r

Verify is tautology by using logical equivalence

Verify is tautology by using logical equivalence:((p ∨ q) ∧ (p → r) ∧ (∼ r)) → qby showing what law is using

Eric and Marina each wrote two or three poems everyday. Over a period of time, Eric wrote 43 poems while Marina wrote 61.

 How many days were in this period of time?  18,19,20,21, or 22 days   Thanks so much

If x is divisible by 12, then it is divisible by 8

The statement "If x is divisible by 12, then it is divisible by 8" is false is x equals:   a) 4   b) 20   c) 36   d) 48
Logic

03/19/18

The negation of the statement ~q∧(~p∨~r) is:

~q∧(~p∨~r)   Whats ts the negation of this statement? 

02/27/18

What is a set of 7 different numbers that has a median of 93?

Math problem that requires logic and understanding of Algebra. 
Logic

01/26/18

Translating sentences into propositional logic

a) Alice is wise, if she is a doctor. b) If Alice spoke to Bob, then Eve overheard her. c) If Alice is wise, then she will be neither poor nor unhappy. d) Exactly two of Alice, Bob and Carol... more
Logic

01/26/18

If an argument has a false conclusion it must be invalid.(t or f) ?

If an argument has a false conclusion it must be invalid. 

01/26/18

Proofs, Math logic

How can you prove that one positive integer is less than another? A<B  

01/25/18

Set Theory/Math Logic

Is there any way to prove that   - Every point in A intersect B is greater than or equal to 1?   - The intersection of two sets has a point in commonwith another set?   If there is no way to... more

01/17/18

Using induction, show that ∀n∈N \ {0,1}, 1 + 1/(2^2) + … + 1/(n^2) > 3n/(2n + 1)

∀n∈N \ {0,1}, 1 + 1/(2^2) + … + 1/(n^2) > 3n/(2n + 1) N denotes the Natural Numbers. I tried adding 1/(n+1)^2 to both sides but am stuck.

10/31/17

Why is the empty set not a subset of the set of an empty set?

Im wondering, because several sources state that the empty set is a subset of EVERY set. Yet this instance seem to be proving that statement wrong.    Update: To be more specific and clear, the... more
Logic

10/21/17

In a set of integers between the numbers 1 and 10,000, how many of these numbers are divisible by 3, 4, 5 and 11?

In a set of integers between the numbers 1 and 10,000, how many of these numbers are divisible by 3, 4, 5 and 11?
Logic

08/23/17

One-tenth of the cars in a car park are yellow. Another car arrives and now one-ninth of the cars are yellow. How many cars are now in the car park?

One-tenth of the cars in a car park are yellow. Another car arrives and now one-ninth of the cars are yellow. How many cars are now in the car park?

06/28/17

Math/Logic question I can't find the correct answer anywhere

1+4=5 2+5=12 3+6=21 8+11=   I have seen 3 examples of answers people say are correct    Example 1 answer 96   1×4=4+1=5 2×5=10+2=12 3×6=18+3=21 8×11=88+8=96   Example 2 answer... more
Logic

06/23/17

TwO days ago i was 10 years old &will be of 13 next year if i am speaking the truth whats todays date

Options are 28 feb  29feb 31 dec Or 1 jan

06/16/17

Trying to recall a problem about balls.

There are 30 balls of 10 colors, 3 of each color. One of each 3 balls form the same color is fake. You are allowed to pass several balls, and see whether there are fake balls among them or not.... more
Logic

04/04/17

Let " n be a positive integer. Then show that 32n+1 + 2n-1 is multiple of 7 by using Mathematical Induction method

Soo need to know the steps in making this question work out . plz can any one help
Logic

03/23/17

A sound argument is a valid argument with no false premises

Logic phil 60
Logic

03/23/17

Every argument with a true premise is a sound argument

Phil 60 class

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