Truth Tables - Introductory Logic | Class Notes | PHIL 102, Study notes of Reasoning

Material Type: Notes; Class: Introductory Logic; Subject: Philosophy; University: University of Illinois - Chicago; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 07/29/2009

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TRUTH TABLES. MEMORIZE THEM
Operators
Most often takes the form
“…and…” in English sentences. The
compound sentence it forms is called
a conjunction. Its components are
called conjuncts.
v Most often takes the form
“…or…” in English sentences. The
compound sentence it forms is called
a disjunction. Its components are
called disjuncts.
Most often takes the form
“if…then…” in English sentences.
The compound sentence it forms is
called a conditional. The sentence in
the first blank is called the
antecedent. The sentence in the
second blank is called the consequent.
Most often takes the form “…if
and only if…” in English sentences.
The compound sentence it forms is
called a biconditional.
~ Most often takes the form “not…”
in English sentences. The compound
sentence it forms is called a negation.
Tables
p
q
p • q
T
T
T
T
F
F
F
T
F
F
F
F
p
q
p v q
T
T
T
T
F
T
F
T
T
F
F
F
p
q
p q
T
T
T
T
F
F
F
T
T
F
F
T
p
q
p q
T
T
T
T
F
F
F
T
F
F
F
T
p
~p
T
F
F
T

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TRUTH TABLES. MEMORIZE THEM

Operators

• Most often takes the form

“…and…” in English sentences. The

compound sentence it forms is called

a conjunction. Its components are

called conjuncts.

v Most often takes the form

“…or…” in English sentences. The

compound sentence it forms is called

a disjunction. Its components are

called disjuncts.

… Most often takes the form

“if…then…” in English sentences.

The compound sentence it forms is

called a conditional. The sentence in

the first blank is called the

antecedent. The sentence in the

second blank is called the consequent.

≡ Most often takes the form “…if

and only if…” in English sentences.

The compound sentence it forms is

called a biconditional.

~ Most often takes the form “not…”

in English sentences. The compound

sentence it forms is called a negation.

Tables

p q p • q T T T T F F F T F F F F p q p v q T T T T F T F T T F F F p q p … q T T T T F F F T T F F T p q p ≡ q T T T T F F F T F F F T p ~p T F F T