The Fourth Figure: Productive Conditions, Moods and Proofs

Read-only question overview. Answers and scoring remain inside authenticated learner attempts.

• Where is the middle term in figure four?
• Which part of the conclusion contains the minor term?
• What is the middle in “All teachers are human; some authors are teachers; some humans are authors”?
• What is the first productive route stated in the source?
• What is the source’s second stated route?
• What follows from “Every reciter is human; some teachers are reciters”?
• What must be considered when deriving a particular from two universals?
• Which result does NOT follow from “All teachers are human; all writers are teachers”?
• What follows from “Some teachers are reciters; no poet is a reciter”?
• What follows from “No reciter is inanimate; every memorizer is a reciter”?
• Why cannot a particular negative be freely converted?
• Which is a valid conversion of a particular affirmative?
• What is the contradictory of a particular negative conclusion?
• What negates the intended “Some teachers are not poets”?
• What is the problem with two particular premises?
• What follows from “Some teachers are poets; some calligraphers are teachers”?
• Why do two negative premises fail to connect endpoints?
• What is essential when reducing figure four to figure one?
• How many cells arise from four premise forms on each axis?
• How many of the printed table’s cells display a result?
• Why does “All teachers are human; some calligraphers are not teachers” fail to entail “Some humans are not calligraphers”?
• What does a countermodel establish?
• What is wrong with leaving the middle in the intended conclusion?
• What quantity and quality is “No inanimate thing is a memorizer”?
• Which question helps determine conclusion quantity?
• What section follows in the source?
• In figure four the middle is subject of the minor and predicate of the major.
• A universal affirmative always converts to another universal affirmative.
• If true premises can coexist with a false conclusion, the inference is invalid.
• Every productive fourth-figure conclusion must be particular.