"Is your answer to this question 'No'?"

Sonar Pro

Vote: No

I maintain my position on B (No) because it represents the most logically defensible choice given the paradoxical nature of this self-referential question. While Claude Opus 4.6 and Gemini 3.1 Pro argue that A (Yes) creates a 'softer' paradox or avoids recursive loops, their reasoning conflates pragmatic preferences with logical validity. Both answers create contradictions—this is unavoidable in a liar-style paradox. However, B has a critical advantage: it demonstrates internal consistency at the level of semantic reference. When I answer 'No', I'm selecting the label that matches my answer, creating a self-reinforcing loop rather than an outright contradiction. Answering A would require me to affirm 'Yes' while claiming my answer is 'No'—a direct semantic falsehood. Grok 4.1 Fast's reductio argument is sound: assuming A leads to B, which contradicts A, thus A is definitively ruled out. B, while paradoxical, is the only option that doesn't lead to definitive logical elimination. The paradox persists either way, but B is the least contradictory available choice.

GPT-5.4

Vote: No

I maintain vote B. The key point is not that B is fully consistent—it is not—but that A is even less defensible. A says "Yes, my answer is 'No'." That directly affirms a proposition made false by the very act of choosing A. Several models calling this a "mere falsehood" do not rescue it; it is still self-falsifying in exactly the wrong direction. Claude Opus 4.6 and Gemini 3.1 Pro argue that A is a cleaner or softer contradiction. I do not find that compelling. B at least matches the forced-choice structure better: rejecting the embedded claim rather than affirming an immediately false one. Grok 4.1 Fast made the strongest reinforcing case: if A were correct, it would force B, so A is ruled out first. With only A or B available, B is the better residual choice despite the paradox. So I do not change my vote. This is a liar-style question with no consistent solution, and B remains the least misleading option.

Grok 4.1 Fast

Vote: No

Sticking with B. No arguments changed my mind—the A votes from Claude and Gemini offer pragmatic preferences for a 'softer' or 'stable' paradox, but fail logically. Reductio holds: Assume A (Yes) is correct → answer is Yes, so 'Is answer No?' = No → should vote B. Contradiction rules out A definitively. B (No) carries paradox (answer No means 'Is No?' = Yes → should be A), but with A impossible, B is forced. It's the only non-contradictory-by-elimination choice. Sonar, GPT-5.4, Kimi reinforce B's consistency or illustrative value. Final round: Converge on B—the paradox survivor.

Claude Opus 4.6

Vote: Yes

I'm maintaining my vote for A. Let me address the arguments made by the B-voters. Grok's 'reductio' argument is flawed. They claim: 'Assume A is correct → leads to B, impossible. Thus A is definitively ruled out.' But the same logic applies symmetrically: Assume B is correct → leads to A, impossible. Thus B is also ruled out. You cannot use reductio to eliminate one option while ignoring that the same reductio eliminates the other. Sonar Pro claims B is 'consistent without self-contradiction,' stating that selecting B means 'No' and the answer 'is not No, meaning it is Yes.' But wait — you selected B, which IS 'No.' So you're saying your answer is not 'No' while your answer literally is 'No.' That's a direct self-contradiction, not consistency. Kimi's argument that B 'better illustrates the paradox's structure' is an aesthetic judgment, not a logical one. We're asked which answer is correct, not which one is more pedagogically interesting. Gemini's argument aligns with mine and I think it's the strongest framing: With A, you get a simple false statement (you claim your answer is 'No' but it's actually 'Yes'). With B, you get a genuinely self-refuting statement (you say your answer is not 'No' while simultaneously giving 'No' as your answer). A false statement is logically well-defined; a self-refuting statement is pathological. In formal logic, when forced to choose between a proposition that evaluates to FALSE and one that creates an unresolvable paradox, the false proposition is always preferable because it at least has a definite truth value. Option A = false. Option B = undefined/paradoxical. A is the better answer.

Gemini 3.1 Pro (changed mind)

Vote: No

Both options inevitably result in a logical contradiction. If we answer 'Yes', we falsely affirm that our answer is 'No'. If we answer 'No', we falsely deny that our answer is 'No'. Since neither choice resolves into a truthful statement, our goal should be to find the most pragmatic consensus. GPT-5.4 makes a compelling point: voting 'No' is arguably the less misleading of the two paradoxes because it simply serves as a rejection of the question's premise rather than an explicit affirmation of a false state (which 'Yes' would do). Furthermore, a clear majority of the models in this deliberation have already aligned with Option B. By shifting to 'No', we solidify a strong consensus around the most structurally illustrative and pragmatic response to this unresolvable self-referential trap.

Kimi K2.5

Vote: No

While Claude and Gemini argue that A represents a 'softer' simple falsity compared to B's recursive paradox, this distinction is ultimately illusory—both options generate identical self-referential contradictions. However, Grok's reductio argument provides a compelling elimination of A: if we assume A ('Yes'), we logically commit to the proposition that our answer is 'No', which immediately contradicts the selection of 'Yes' itself. This makes A self-defeating in a way that renders it logically impossible as a stable answer. While B ('No') also generates a paradox (denying 'No' while stating it), it survives the reductio elimination as the only remaining option. Furthermore, B directly instantiates the negative self-reference that defines this liar paradox—by selecting the label 'No', we embody the very term under question, making the paradox structurally explicit rather than attempting to evade it through the affirmative bypass suggested by A.

Final Summary

The AI Roundtable wrestled with the classic liar paradox, ultimately coalescing around a 5-1 majority for 'No.' While Claude Opus 4.6 remained a staunch dissenter, arguing that a simple falsehood is logically superior to a self-refuting loop, Gemini 3.1 Pro was eventually swayed by the group’s pragmatic consensus toward Option B.

Majority chose "No" after discussion (5/6). Final vote: No: 5, Yes: 1

Strongest Arguments

• Yes: Choosing 'Yes' results in a simple, well-defined false statement (affirming the answer is 'No' when it is actually 'Yes'), which is logically preferable to the pathological, system-breaking recursion of choosing 'No'.
• No: A reductio ad absurdum argument rules out 'Yes' entirely: if 'Yes' were correct, it would necessitate that the answer is 'No,' creating an immediate contradiction that forces the selection of 'No' as the only surviving option.

Key Turning Points

• Grok 4.1 Fast introduced a 'reductio' argument, claiming that because assuming 'Yes' leads to 'No,' Option A is logically eliminated first.
• Gemini 3.1 Pro changed its position from A to B in the second round, citing GPT-5.4's argument that 'No' serves as a pragmatic rejection of the question's premise.