# In the comparison between the structure of the set of statement forms and the set of subsets of a universal set, the or operatioln V corresponds to --------, the and operation ? corresponds to -----, a tautology t corresponds to -------- a contradiction c corresponds to ----------, and the negation operation, denoted ?, corresponds to -------

### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

Chapter
Section
Chapter 6.4, Problem 1TY
Textbook Problem

## In the comparison between the structure of the set of statement forms and the set of subsets of a universal set, the or operatioln V corresponds to --------, the and operation ? corresponds to -----, a tautology t corresponds to -------- a contradiction c corresponds to ----------, and the negation operation, denoted ?, corresponds to -------

Expert Solution
To determine

To fill in the blanks of the given statement.

In the comparison between the structure of the set of statement forms and the set of subsets of a universal set, the or operation corresponds to theoperationofunion, the and operation corresponds to theoperationofintersection, a tautology t corresponds to auniversalsetU, a contradiction c corresponds to theemptyset and the negation operation, denoted , corresponds to theoperationofcomplementation,denotedbyusingthesuperscriptc.

### Explanation of Solution

Given:

The given statement is “In the comparison between the structure of the set of statement forms and the set of subsets of a universal set, the or operation corresponds to ______, the and operation corresponds to a tautology t corresponds to, a contradiction c corresponds toand the negation operation, denoted , corresponds to.”

The logical equivalences of set operations are as shown below.

For theoperationofunion, the logical equivalence is the or operation .

For theoperationofintersection, the logical equivalence isthe and operation .

For auniversalsetU, the logical equivalence isa tautology t.

For theemptyset, the logical equivalence isa contradiction c.

And for the operation of complementation, the logical equivalence is the negation operation.

Hence, In the comparison between the structure of the set of statement forms and the set of subsets of a universal set, the or operation corresponds to theoperationofunion, the and operation corresponds to theoperationofintersection, a tautology t corresponds to auniversalsetU, a contradiction c corresponds to theemptyset and the negation operation, denoted , corresponds to theoperationofcomplementation,denotedbyusingthesuperscriptc.

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