Question 1

If x) Mx is true, then (? x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true or false&#10;B)false&#10;C)true&#10;D)valid

Accepted Answer

false&#10;

Question 2

If x) Mx is true, then (? x ) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)valid&#10;B)true&#10;C)true or false&#10;D)false

Accepted Answer

true&#10;

Question 3

If x) Mx is true, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)false&#10;B)true or false&#10;C)true&#10;D)valid

Accepted Answer

false&#10;

Question 4

If x) Mx is false, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true or false&#10;B)true&#10;C)valid&#10;D)false

Accepted Answer

The notation "x) Mx" seems to be a typographical or formatting error, but assuming it's meant to represent a logical statement about x, the truth value of a statement can generally be true or false depending on the context or interpretation, hence "true or false" is the most logically inclusive option.

Question 5

If x) Mx is false, then (? x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)false&#10;B)valid&#10;C)true&#10;D)true or false

Accepted Answer

If "Mx is false for all x", then "there exists an x such that Mx is true" is false, making the statement "there exists an x such that Mx is false" true.

Question 6

If x) Mx is false, then (? x ) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true or false&#10;B)true&#10;C)false&#10;D)valid

Accepted Answer

The answer of If x) Mx is false, then (?...

Question 7

If (? x ) Mx is true, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)false&#10;B)valid&#10;C)true&#10;D)true or false

Accepted Answer

The truth of "for all x, Mx" does not determine the truth value of "there exists an x such that Mx" without additional context. It could be true or false depending on the specific interpretation of Mx.

Question 8

If (? x ) Mx is true, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)valid&#10;B)true or false&#10;C)false&#10;D)true

Accepted Answer

The answer of If (? x ) Mx is true,...

Question 9

If (? x ) Mx is true, then (? x ) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)false&#10;C)true or false&#10;D)valid

Accepted Answer

The answer of If (? x ) Mx is true,...

Question 10

If (? x ) Mx is false, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true or false&#10;B)valid&#10;C)true&#10;D)false

Accepted Answer

If (? x ) Mx is false, it means that there is no x for which Mx is true, so (x) Mx must be false.

Question 11

If (? x ) Mx is false, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)valid&#10;B)false&#10;C)true or false&#10;D)true

Accepted Answer

The answer of If (? x ) Mx is false,...

Question 12

If (? x ) Mx is false, then (? x ) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)true or false&#10;C)valid&#10;D)false

Accepted Answer

The answer of If (? x ) Mx is false,...

Question 13

If (? x ) Mx is true , then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)false&#10;B)true or false&#10;C)valid&#10;D)true

Accepted Answer

The answer of If (? x ) Mx is true...

Question 14

If (? x ) Mx is true , then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)false&#10;C)true or false&#10;D)valid

Accepted Answer

The answer of If (? x ) Mx is true...

Question 15

If (? x ) Mx is true, then (? x ) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)valid&#10;B)true or false&#10;C)false&#10;D)true

Accepted Answer

The answer of If (? x ) Mx is true,...

Question 16

If (? x ) Mx is false, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)true or false&#10;C)valid&#10;D)false

Accepted Answer

The answer of If (? x ) Mx is false,...

Question 17

If (? x ) Mx is false, then x) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)true.&#10;C)false&#10;D)valid

Accepted Answer

The answer of If (? x ) Mx is false,...

Question 18

If (? x ) Mx is false, then (? x ) Mx is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)false&#10;C)valid&#10;D)true or false

Accepted Answer

The answer of If (? x ) Mx is false,...

Question 19

If (x) ( H x ? Mx ) is true, then (? x ) x . Mx ) is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)true or false&#10;C)false&#10;D)valid

Accepted Answer

The answer of If (x) ( H x ? Mx...

Question 20

If (x) ( H x ? Mx ) is false , then (? x ) x . Mx ) is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)valid&#10;B)true&#10;C)true or false&#10;D)false

Accepted Answer

The answer of If (x) ( H x ? Mx...

Question 21

If (x) ( H x ? Mx) is true, then (? x ) x . Mx ) is&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)false&#10;B)valid&#10;C)true&#10;D)true or false

Accepted Answer

The answer of If (x) ( H x ? Mx)...

Question 22

If (x) ( H x ? Mx ) is false , then (? x ) x . Mx ) is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)true or false&#10;B)false&#10;C)valid&#10;D)true

Accepted Answer

The answer of If (x) ( H x ? Mx...

Question 23

If (? x ) ( H x . Mx ) is true, then (x) ( H x ? Mx ) is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)true&#10;B)true or false&#10;C)false&#10;D)valid

Accepted Answer

The answer of If (? x ) ( H x...

Question 24

If (? x ) ( H x . Mx ) is false , then (x) ( H x ? Mx ) is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)valid&#10;B)true&#10;C)true or false&#10;D)false

Accepted Answer

The answer of If (? x ) ( H x...

Question 25

If (? x ) x . Mx ) is true, then (x) ( H x ? Mx ) is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)false&#10;B)valid&#10;C)true&#10;D)true or false

Accepted Answer

The answer of If (? x ) x . Mx...

Deck 13: Logic and Quantifiers