Here is a conditional claim:

If you receive the appropriate palliative care, then you do not require the right to seek MAID

Which of the following is a counterexample to this claim? Select all that apply

Question

Here is a conditional claim:

If you receive the appropriate palliative care, then you do not require the right to seek MAID

Which of the following is a counterexample to this claim? Select all that apply

BlackTom AI · Accepted Answer

A counterexample to a conditional "If P then Q" must show an instance where P is true and Q is false (i.e., P ∧ ¬Q). Here P = "you receive appropriate palliative care" and Q = "you do not require the right to seek MAID." So a counterexample must describe someone who received appropriate palliative care yet still requires (or asks for) MAID.

Relevant concepts:
- Logical form of a conditional: "If P then Q" is falsified by any case with P true and Q false.
- Existence vs. statistical claims: a single concrete instance (∃x) suffices; a high percentage implies existence of such instances if >0%.

Step-by-step reasoning:
1. Translate the claim: For every person, if they receive appropriate palliative care, then they do not require the right to seek MAID.
2. Identify what would falsify it: find at least one person who did receive appropriate palliative care (P true) but nonetheless requires/seeks MAID (Q false).
3. Evaluate the two candidate counterexamples:
   - "Appropriate palliative care can fail to improve well-being overall nevertheless." This describes a scenario where P is true (care is received and deemed appropriate) but it fails to resolve suffering or improve well-being, so the person may still require the right to seek MAID (Q false). That is a direct P ∧ ¬Q instance and thus a valid counterexample.
   - "80% of those that receive appropriate palliative care ask for MAID." A statistical statement with 80% implies that some nonzero proportion of recipients do ask for MAID. Since at least one individual in that group both received appropriate palliative care and asked for MAID, this yields an existential counterexample (∃x: P(x) ∧ ¬Q(x)), which also falsifies the universal conditional.

Why the correct answers are correct:
- Both choices supply instances (one by hypothetical individual failure, one by empirical frequency implying existence) where P holds and Q fails, so they directly contradict the conditional.

Why no other options apply:
- Any option that only restates trends in favor of Q without producing a P ∧ ¬Q instance would not be a counterexample.

Conclusion: Both listed statements correctly serve as counterexamples, matching the provided answers.

Here is a conditional claim: If you receive the appropriate palliative care, then you do not require the right to seek MAID Which of the following is a counterexample to this claim? Select all that apply多项选择题

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