MA 124 Fall 2015 Groupwork 11: Set Theory - Properties of Set Equivalence
You must show your work for any credit!
1. Shade the Venn diagrams to illustrate the property.
a. Associative Property: ( ) = ( )
( )
( )
b. Difference/Complement Identity: =
Math 124 F2014 Homework 1
Use this key for questions 1, 2 and 3:
Key:
= ;
= ;
=
1. Translate the following sentences into formulas. (10 points):
Ex: :
( )
a.
, :
( ) )
b.
:
( ) )
c.
,
Math 124 F2014 Homework 1
Use this key for questions 1, 2 and 3:
Key:
= ;
= ;
=
1. Translate the following sentences into formulas. (10 points):
Ex: :
( )
a.
, :
( ) )
b.
:
( ) )
c.
,
Math 124 F2014 Homework 2
1. Write the converse, inverse, and contrapositive in English for the following implication. (5 points)
, .
Converse: , .
Inverse: , .
Contrapositive: , .
2. Write the formulas for the converse, inverse, and contrapositive of th
SET THEORY 11 Properties of Set Equivalence 09/29/15
I.
Introduction
There is a similarity between the properties of logical equivalence and the properties of set equivalence.
A.
Negation Properties
A.
=U
B.
U=
C.
A=
D.
B.
=AB
Commutative Properties: Th
SENTENTIAL LOGIC: 02-Translation 08/20/15
II.
Translation
A. Definition: A Translation Key is a listing of atomic formulas with their corresponding atomic sentences.
B. To translate a sentence or selection of sentences:
1.
Construct a key
2.
Use parenthes
MA 124 Fall 2015 Groupwork 2: Sentential Logic - Translation
You must show your work for any credit!
For each of the following sentences: construct a key, translate it into a formula, and then construct a truth table to
analyze the conditions (valuations)
MA 124 Fall 2015 Groupwork 1: Sentential Logic Introduction
You must show your work for any credit!
For each of the following sentences:
a. Identify the type of sentence (atomic sentence, negation, conjunction, disjunction, implication, biconditional)
b.
MA-124
Midterm
1. Which of the following problems are propositions?
A. Have a nice day.
B. The soup is cold.
C. The patient has diabetes.
D. The light is on.
E. It's a beautiful day.
2. Define the following propositions:
p: The weather is bad.
q: The trip