# Five Rules

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Category: Education

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The purpose of the categorical syllogism is to show how three classes relate to each other. s M P

### Categorical Syllogisms must contain three terms.:

Categorical Syllogisms must contain three terms. All S are M All M are P _________ Some P are S

### Middle term: this term occurs in both premises::

Middle term: this term occurs in both premises: All S are M All M are P _________ Some P are S

### Minor term: this term occurs in the subject term of the conclusion and occurs in the minor premise. :

Minor term: this term occurs in the subject term of the conclusion and occurs in the minor premise. All S are M All M are P _________ Some P are S

### Major term: this term occurs in the predicate term of the conclusion and occurs in the major premise. :

Major term: this term occurs in the predicate term of the conclusion and occurs in the major premise. All S are M All M are P _________ Some P are S

### Two attributes can be used to describe categorical syllogisms::

Two attributes can be used to describe categorical syllogisms: Mood: Type of statements in the syllogism. Figure: Placement of the middle term.

### Mood: AAI:

Mood: AAI All S are M All M are P _________ Some P are S

### Figure: refers to the placement of the middle term: :

Figure: refers to the placement of the middle term: M P S M _________ S P P M S M _________ S P M P M S _________ S P P M M S ________ S P 1 2 3 4

### Mood: AAI Figure: 4:

Mood: AAI Figure: 4 All S are M All M are P _________ Some P are S

### It is possible to reconstruct a syllogism based on mood and figure::

It is possible to reconstruct a syllogism based on mood and figure:

### EAI-3:

EAI-3 No are All are __________ Some are

### EAI-3:

EAI-3 No M are All M are __________ Some are

### EAI-3:

EAI-3 No M are All M are S __________ Some S are

### EAI-3:

EAI-3 No M are P All M are S __________ Some S are P

### Validity for Categorical Syllogisms::

Validity for Categorical Syllogisms: Figure 1 Figure 2 Figure 3 Figure 4 AAA EAE IAI AEE EAE AEE AII IAI AII EIO OAO EIO EIO AOO EIO

### Five Rules for Validity of Categorical Syllogisms :

Five Rules for Validity of Categorical Syllogisms

### Rule 1: The middle term must be distributed at least once. :

Rule 1: The middle term must be distributed at least once. Fallacy: undistributed middle All S are M Some P are M ____________ All P are S

### Rule 2: If a term is distributed in the conclusion then that term must also be distributed in the premise. :

Rule 2: If a term is distributed in the conclusion then that term must also be distributed in the premise. Fallacy: illicit major/illicit minor All M are S Some P are M ____________ All P are S

### Rule 2: Doesn’t apply if there are no terms distributed in the conclusion. :

Rule 2: Doesn’t apply if there are no terms distributed in the conclusion. No fallacy All M are S Some P are M ____________ Some P are S

### Rule 3: Two negative premise are not allowed. :

Rule 3: Two negative premise are not allowed. Fallacy: exclusive premises No S are M Some P are not M ____________ Some P are S

### Rule 4: If the conclusion is affirmative, there must be no negative premises. If the conclusion is negative, there must be one negative premise. :

Rule 4: If the conclusion is affirmative, there must be no negative premises. If the conclusion is negative, there must be one negative premise. Fallacy: drawing affirmative/negative conclusion from negative/affirmative premises. All S are M No P are M ____________ All P are S

### Rule 5: If the conclusion is particular, there must be at least one particular premise. :

Rule 5: If the conclusion is particular, there must be at least one particular premise. Fallacy: existential fallacy All M are S All P are M ____________ Some P are S

### Rule 5: Arguments that violate ONLY rule 5 are conditionally valid:

Rule 5: Arguments that violate ONLY rule 5 are conditionally valid Conditionally valid No M are S All P are M ____________ Some P are not S

### If an argument violates any one of the first four rules it is invalid.:

If an argument violates any one of the first four rules it is invalid.