Class Notes (1,100,000)

CA (620,000)

Ryerson (30,000)

SSH (300)

SSH 105 (200)

Andrew Hunter (30)

Lecture 7

School

Ryerson UniversityDepartment

Social Sciences and HumanitiesCourse Code

SSH 105Professor

Andrew HunterLecture

7This

**preview**shows half of the first page. to view the full**1 pages of the document.**SSH Chapter 7

Symbo

l

Meaning Example

&Conjunction (and) p & q

Alice rode her bike, and John walked

VDisjunction (or) p V q

Either Alice rode her bike, or John walked

~Negation (not) ~ p

Alice did not ride her bike

Or

It is not the case that Alice rode her bike

Conditional (if-then) p q

If Alice rode her bike, then John walked

Conjunction (&)

- Two simple statements joined by a connective to form a compound statement

*True only if p and q are true

- Truth Table:

p q p & q

T T T

T F F

F T F

F F F

Disjunction (V)

- A compound statement of the form 'Either p or q'.

*True if either p or q is true. False if both are false.

- Truth Table:

p q p V q

T T T

T F T

F T T

F F F

Negation (~)

- The denial of a statement

*The reverse of the true/false statement

- Truth Table:

p ~ p

T F

F T

Conditional ( )

- If p then q

* False only when the antecedent is True and the consequent is False

- Truth Table:

P q p q

T T T

T F F

F T T

F F T

Tricky Arguments

- Example:

~ ( q & r ) It is not the case that both Leo and Jay sings the blues

~q & ~r Leo does not sing the blues, and Jay does not sing the blues

Prepositional Logic - The branch of deductive reasoning that deals with the logical relationship among statements

###### You're Reading a Preview

Unlock to view full version