Question

p and negation p is equal to f​

Answer 1

Answer:

Logical Form And Logical Equivalence

The content of a statement is not the same as the logical form. For instance, consider the 2 following statements:

If Sally wakes up late or if she misses the bus, she will be late for work. Therefore, if Sally arrives at work on time, she did not wake up late and did not miss the bus.

If x is a real number such that x < -2 or x > 2, then x2 > 4. Therefore, if x2 < 4, then x > -2 and x < 2.

Logical analysis does not help determine the merit of an argument. Instead it helps to analyze the argument's form to determine if the truth of the conclusion follows from the truth of the preceding statements. While the content of the two above statements is different, their logical form is similar.

Let p stand for the statements "Sally wakes up late" and "x is a real number such that x < -2".

Let q stand for the statements "Sally misses the bus" and "x is a real number such that x > -2".

Let r stand for the statements "Sally is late for work" and "x2 > 4".

Then the common form for both of the above arguments is:

If p or q, then r.

Therefore, if not r, then not p and not q.

Answer 2

Answer:

Logical Form And Logical Equivalence

The content of a statement is not the same as the logical form. For instance, consider the 2 following statements:

If Sally wakes up late or if she misses the bus, she will be late for work. Therefore, if Sally arrives at work on time, she did not wake up late and did not miss the bus.

If x is a real number such that x < -2 or x > 2, then x2 > 4. Therefore, if x2 < 4, then x > -2 and x < 2.

Logical analysis does not help determine the merit of an argument. Instead it helps to analyze the argument's form to determine if the truth of the conclusion follows from the truth of the preceding statements. While the content of the two above statements is different, their logical form is similar.

Let p stand for the statements "Sally wakes up late" and "x is a real number such that x < -2".

Let q stand for the statements "Sally misses the bus" and "x is a real number such that x > -2".

Let r stand for the statements "Sally is late for work" and "x2 > 4".

Then the common form for both of the above arguments is:

If p or q, then r.

Therefore, if not r, then not p and not q.