Negation & Symbols

Negation & Symbols

Conjunction

Disjunction

Conditional

Statement

100

V means

What is or (disjunction)

100

The truth value of p ^ q when p is true and q is false

What is false

100

p V q when p is false and q is true

What is true

100

p is true
q is false
~p --> q

What is true

100

Forth of July was on a Monday.

Not a Statement

200

~

What is not

200

The truth value of r ^ s, when r and s are both false

What is false

200

r is false and s is true
truth value of ~r V ~s

What is true

200

The truth value of r --> ~s, when r and s are both true

What is false

200

Thanksgiving is on a Thursday.

Statement

300

-->

What is ...If...Then (conditional)

300

the truth value of ~p ^ ~q when p and q are both true

What is false

300

p represents right angles are 90 degrees
q represents obtuse angles are greater than 90
in words p V q

What is Right angles are 90 degrees or obtuse angles are greater than 90

300

The truth value of ~p --> q when p and q are both true

What is true

300

This class is hard.

Not a statement

400

The negation of "the sky is purple"

What is the sky is not purple

400

if p represents the ocean is cold
q represents the sand is hot
in words p ^ ~q

What is the ocean is cold and the sand is not hot

400

p represents x = 2
q represents x is a prime number
in symbolic form x = 2 or x is a not prime number

What is p V ~q

400

p represents June has 30 days
q represents June is hot
in words p-->q

What is If June has 30 days then June is hot

400

This class is Math 1010K.

Statement

500

The negation of "Buffalo is not in New York"

What is Buffalo is in NY

500

The truth value of (p ^ ~q) ^ ~p when p is true and q is false

What is false

500

the truth value of (p V q) V ~p
when p and q are false

What is true

500

r represents there is no school in August
s represents I passed all of my classes
in words: s --> r

What is If I passed all of my classes then there is no school in August

500

This class is easy.

Not a statement

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