LessonsThe First Figure: Conditions of Validity and Four Productive MoodsQuiz

Minor: All pens are writing instruments.
Major: Some writing instruments are blue.
Invalid conclusion: Some pens are blue.

The blue writing instruments mentioned in the major might all be instruments of some other kind. Nothing guarantees that any blue one is a pen.

The minor is universal affirmative, but the major is particular affirmative. Meeting only one of the two conditions does not make a productive first-figure argument.

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An invalid combination with a particular major

The First Figure: Conditions of Validity and Four Productive Moods

Minor: All pens are writing instruments.
Major: Some writing instruments are blue.
Invalid conclusion: Some pens are blue.

The blue writing instruments mentioned in the major might all be instruments of some other kind. Nothing guarantees that any blue one is a pen.

The minor is universal affirmative, but the major is particular affirmative. Meeting only one of the two conditions does not make a productive first-figure argument.