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33 Cards in this Set

  • Front
  • Back

What is a statement?

A sentence that is either true or false.

When evaluating sentences what are we looking for?

Their truth value. A statement can have either a true truth value or a false truth value.

What 3 things are not statements?

Questions, commands, and nonsense sentences, because they do not have a truth value.

What is a self-supporting statement?

Its truth value can be determined from the statement itself.

What are the 3 categories of self-supporting statements?

1. Self-reports


2. True or false by logical structure


3. True or false by definition

Tell me about self-reports.

A statement by a person concerning his or her own desires, beliefs, or feelings

Tell me about statements which are true or false by logical structure.

A statement that can be seen to be true or false by how the sentence is put together.

What is a tautology.

A statement that is always true by logical structure.

What is a self-contradiction?

A statement that is false due to its logical structure.

What is a supported statement?

A statement whose truth value depends on evidence or information from outside itself.

What are the 3 sources for determining a supported statement's truth value?

1. Authority


2. Experience/Observation


3. Deduction

What is a categorical statement?

One which affirms or denies something about a given subject.

What are the four forms of categroical statements?

1. All S are P.
2. No S are P.
3. Some S are P.
4. Some S are not P.

What are the two parts of a statement?

1. Subject
2. Predicate

What is the predicate?

The term that describes or asserts something about the subject.

What does the quantity of a statement identify?

Whether the statement is universal (all or no) or particular (some and some...not)

When is a statement universal?

When it makes a claim about the entire extension of a subject.

When is a statement particular?

When it makes a claim about part of the extension of the subject.

What does the quality of a statement identify?

Whether the statement is affirmative (all and some), or negative (no and some...not).

When is a statement affirmative?

When it affirms something about the subject.

When is a statement negative?

When it denies something about the subject.

What are the four types of categorical statements?

1. Universal affirmative
2. Universal negative
3. Particular affirmative
4. Particular negative

What is the square of opposition?

A diagram of the basic relationships between categorical statements with the same subject and predicate.

Universal affirmative statements are also known as:

A statements

Universal negative statements are also known as:

E statements.

Particular affirmative statements are also known as:

I statements

Particular negative statements are also known as:

O statements

What five different relationships between categorical statements does the square of opposition present?

1. Contradiction
2. Contrariety
3. Subcontrariety
4. Subimplication
5. Superimplication

When are two statements in contradiction?

If and only if they always have opposite truth values.

Relationship of Contrariety

If and only if both statements can both be false but cannot both be true. Only between A and E statements.

Relationship of Subcontrariety

If and only if both statements can be true, but they cannot both be false. Only between I and O statements.

Relationship of Subimplication

Between a universal and particular statement of the same quality, in which the truth of the universal necessitates the truth of the particular.Only between pairs of A and I statements and E and O statements.

Relationship of Superimplication

Between a universal and particular statement of the same quality, in which the falsity of the particular necessitates the falsity of the universal. Only between pairs of I and A statements and O and E statements.