Propositions

Question 1

Negation ( ˜ )

Answer 1

Su valor (True or False) vas a ser cambiado a su opuesto

En palabras:
“The earth is round.” vs “The earth is not round.”

Question 2

Conjunction ( p∧q)

and

Answer 2

Solo son es cierto (T) si ambos statements son cierto (T)

Question 3

Disjunction (p ∨q )

Or

Answer 3

Es cierto (T) si uno de los dos statements es cierto

example : P is False but Q is True.
This makes the stament True

Question 4

Exclusive (p ⊕q)

Type of Or

Answer 4

Solo uno de los statements puede ser cierto, no ambos.

Example:
1)P is True and Q is True (This statement is false)

        2)P is False and Q is True (This statement is True)

In words:
-Soup or salad comes with this entrée,”
we do not expect to be able to get both soup and
salad.

Question 5

Implication (p →q)

Leído como: “if p, then q ”

Answer 5

Solamente es Falso cuando Cierto (T) va primero que Falso (F).

example:
- P is T and Q is False (This statement is False)
- P is False and Q is True (This statement is True)

En palabras: “If I am at home then it is raining.”

Question 6

converse (q→p)

Answer 6

conversa de (p→q)

Question 7

contrapositive (˜q →˜p

Answer 7

opuesta y contraria de (p→q)

Question 8

inverse ( ˜p→˜q

Answer 8

opuesta de (p →q)

Question 9

Biconditional (p↔q)

read as “p if and only if q .”

Answer 9

Ambas son ciertas o ambas son falsas para que el statement sea True (T)

En palabras:
“I am at home if and only if it is raining.”

Question 10

tautology

Answer 10

is a proposition which is always true.

p ∨¬p

Question 11

contradiction

Answer 11

is a proposition which is always false.

p ∧¬p