Questions: Presupposition Projection and Triggering

Question 1

The sentence 'Alex stopped cheating on their taxes' is negated: 'Alex has not stopped cheating on their taxes.' What happens to the presupposition that Alex was previously cheating?

• A. It is cancelled — the negation eliminates the presupposition along with the assertion
• B. It is reversed — the negation implies Alex was not previously cheating
• C. It projects — both the positive and negative sentences carry the presupposition that Alex was cheating
• D. It becomes a Gricean implicature rather than a presupposition

Answer: (C)

Projection through negation is the defining characteristic of presupposition. Both 'Alex stopped cheating' and 'Alex has not stopped cheating' presuppose Alex was previously cheating — the negation reverses the assertion (whether stopping has occurred) but leaves the background assumption intact. This contrasts with entailments, which are cancelled under negation: 'Alex stopped cheating' entails Alex is no longer cheating, but the negated version cancels that entailment entirely.

Question 2

A politician says: 'Even my critics know that my economic policy will create jobs.' How is this best analyzed in terms of presupposition?

• A. It is a direct assertion that the policy will create jobs, open to direct rebuttal
• B. It is a Gricean implicature — mentioning critics implies the claim is widely accepted
• C. The factive verb 'know' presupposes its complement is true, planting 'the policy will create jobs' as common ground without asserting it
• D. It is an entailment that critics hold a positive view of the policy

Answer: (C)

Factive verbs like 'know' presuppose their complement clause. By attributing knowledge to critics, the politician builds in the presupposition that the policy will create jobs — as background content taken for granted rather than argued for. This is more powerful than assertion because presuppositions aren't directly at issue; to object, a hearer must explicitly challenge the presupposition rather than the assertion, which is conversationally marked and awkward.

Question 3

In the sentence 'If France has a king, the king of France is bald,' the existence presupposition of the consequent does not project to the whole conditional.

• T. True
• F. False

Answer: True

This is the classic example of presupposition filtering. The presupposition of 'the king of France is bald' (that France has a king) is satisfied by the antecedent 'If France has a king...', so it is absorbed and does not project to the whole sentence. The full conditional does not presuppose France has a king — it is conditional on it. Filtering occurs when the embedding context provides or entails the presupposed content, absorbing rather than passing it upward.

Question 4

Presuppositions and entailments behave the same way under negation — both are cancelled when a sentence is negated.

• T. True
• F. False

Answer: False

This is the key diagnostic difference. Entailments are cancelled under negation: 'The cat is on the mat' entails there is a cat, but 'The cat is not on the mat' does not. Presuppositions survive negation: 'The king of France is bald' and 'The king of France is not bald' both presuppose there is a king of France. This projection behavior under negation is what makes presuppositions distinctive — they are not simply weak or defeasible entailments.

Question 5

What is presupposition accommodation, and why might strategic use of presupposition triggers be more rhetorically effective than making the same content an explicit assertion?

Model answer: Accommodation occurs when a hearer silently accepts a speaker's presupposition even though it was not already in the common ground, rather than objecting. If someone says 'My car broke down' to a hearer unaware they own a car, the hearer typically accommodates the car's existence rather than interrupting. Strategically, presupposing content is more powerful than asserting it because assertions are directly at issue and invite rebuttal, while presuppositions slide into common ground as background. To challenge a presupposition, the hearer must step outside the normal conversational flow and meta-linguistically object — which is socially marked and conversationally costly.

This is why presupposition triggers are tools of persuasion. 'When did you stop beating your spouse?' presupposes beating occurred, placing the respondent in a position where any direct answer accepts the presupposition. Political discourse routinely embeds contested claims as presuppositions ('the failed policy,' 'the job-killing regulation') because once they enter common ground through accommodation, they are harder to dislodge than openly asserted claims.