PLEASE READ CAREFULLY AND ANSWER BOTH QUESTIONS AND EXPLAIN WORK. THE 1st QUESTI

Question

PLEASE READ CAREFULLY AND ANSWER BOTH QUESTIONS AND EXPLAIN WORK. THE 1st QUESTIONS STATES TO REPRESENT EACH OF THE FOLLOWING WITH AN ARRAY OF ZEROS AND ONES!!! AND THERE'RE TWO PARTS TO QUESTION 3.

Consider the following sets {a, b, c, d, e, f, g} {b, c, d, f} {a, d, g} {a, e} Represent each of the following with an array of zeros, and ones: A intersection B = C union B = Consider the statement "There does not exist a narwhal that can live on land." Write an equivalent English statement that begins with the words "Every narwhal. Let P(x) be the predicate "x can live on land," where the variable x represents animals. Write both statements symbolically using P(x) and quantifiers, (sum of x all of x). |

Explanation / Answer

U={a,b,c,d,e,f,g}
A={b,c,d,f}

B={a,d,g}

C={a,e}

Reference: http://en.wikipedia.org/wiki/Power_set#Representing_subsets_as_functions

A intersection B = {d}

A intersection B has only the 4th element of U

So, the 0 and 1 array of A intersection B is all zeroes with a 1 at 4th position

A intersection B = {d} = 0001000

C union B = {a,d,e,g}

C union B has the 1st 4th 5th 7th elements of U

So the 0 and 1 array of C union B is 1001101

There does not exist a narwhal that can live on land

is equivalent to

Every narwhal that exists cannot live on land

P(x) = "x can live on land"

x represents animals

Let Animals be the set of animals

Notation: V = for all, E = there exists, c belongs to, v = or,

Vx c Animals P(x)

Every narwhal that exists cannot live on land

Let N(x) be the predicate "x is a narwhal"

The statement is : For every narwhal x, the statement "x lives on land" is false

Vx c Animals N(x) -> ~P(x)

Vx c Animals ~N(x)v~P(x)

Equivalently, if Narwhals is the set of narwhals,

Vx c Narwhals ~P(x)

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.