2.2 Statements and Negations

Front

What is a statement?

Back

A statement is a declarative sentence that is either true or false, but not both.

Front

What is a negation?

Back

A negation is the opposite of a statement, indicating that the statement is not true.

Front

Is 'Who are your friends?' a statement?

Back

No, 'Who are your friends?' is not a statement; it is a question.

Front

What are quantifiers?

Back

Quantifiers are words that express quantity, such as 'all', 'none', and 'some'.

Front

What is the negation of 'All apple smartphones run on an IOS operating system'?

Back

The negation is 'Some Apple smartphones do not run on an IOS operating system'.

Front

What does 'No A are B' mean in logical terms?

Back

It means that there is no overlap between sets A and B.

Front

What does 'Some A are not B' indicate?

Back

It indicates that there is at least one element in set A that is not in set B.

Front

Provide an example of a statement.

Back

'The sky is blue.' is an example of a statement.

Front

What is the visual representation for 'No A are B'?

Back

The visual representation shows two circles that do not overlap.

Front

What is the visual representation for 'Some A are not B'?

Back

The visual representation shows two overlapping circles, with part of A outside of B.