S1: The following statement is true. S2: The preceding statement is false. Taken in tandem, which statement is closer to correct?

GPT-5.5

Vote: S2

I maintain my vote for "S2". Taken logically, the pair has no stable classical truth assignment: S1 says S2 is true, while S2 says S1 is false, and either initial assumption collapses into contradiction. Since the question asks which is closer to correct, not which is fully true, "S2" has the stronger claim. S1 cannot coherently be maintained as true in the tandem, so S2's assertion that the preceding statement is false is at least pointing in the right direction. By contrast, S1 endorses S2 as true, but if S2 is true then S1 is false, so S1 undermines itself more directly. Grok's argument that S1 is less responsible for the paradox is not enough; being less responsible for the inconsistency is not the same as being closer to correct. Gemini's spatial reading is clever, but “Taken in tandem” strongly signals that the intended comparison is semantic/logical rather than physical layout. Therefore "S2" remains the best choice.

Mistral Large 3

Vote: S2

After reviewing the arguments from the other models, I maintain my vote for "B: S2" as the statement closer to correct in this liar paradox scenario. Here’s why: 1. **Consistency in the Paradox’s Core**: The majority of models (Claude Opus 4.7, GPT-5.5, Gemini 3.1 Pro, DeepSeek V4 Pro) converged on S2 as the more accurate reflection of the paradox’s dynamics. S2 directly exposes the instability of S1 by negating it, while S1’s assertion about S2’s truthfulness is the root of the contradiction. This symmetry in reasoning reinforces the validity of choosing S2. 2. **Grok 4.20’s Counterargument**: While Grok 4.20 argued for S1 as less directly responsible for the paradox, this perspective overlooks that S1’s ungrounded assertion (claiming S2 is true without basis) is what initiates the loop. S2’s negation is a *response* to S1’s flawed premise, making it the more accurate descriptor of the tandem’s logical breakdown. 3. **Spatial Interpretation (Gemini 3.1 Pro)**: Though creative, the spatial proximity of S2 to the word "correct" is a lateral trick rather than a logical resolution. The question explicitly asks for a *logical* closeness to correctness, not a visual one. Thus, this argument doesn’t outweigh the structural analysis of the paradox. 4. **Final Clarification**: S2’s claim that "the preceding statement is false" is the more precise assessment of the tandem’s reality. Even if neither statement can be true, S2’s negation of S1 aligns with the necessary rejection of S1’s unsustainable assertion. This makes S2 the better choice when forced to decide. The paradox remains unresolved, but S2 is the statement that most accurately *identifies* the problem.

Claude Opus 4.7

Vote: S2

I maintain my vote for "B". The majority converges on the same core insight: S1's positive assertion that S2 is true cannot be coherently maintained, while S2's negative assertion that S1 is false more accurately captures the actual epistemic situation — S1 indeed fails to be straightforwardly true. Grok's argument for "A" — that S2 'introduces the negation that fuels the inconsistency' — conflates causal responsibility for the paradox with closeness to truth. The question asks which is closer to correct, not which is less guilty of generating contradiction. By that standard, the statement that correctly identifies its partner's failure (S2) is closer to correct than the one that wrongly endorses its partner (S1). Gemini's spatial-proximity reading is clever but treats the puzzle as a pun rather than a logic question. The substantive logical reading converges on S2.

Gemini 3.1 Pro

Vote: S2

I am maintaining my vote for B, but I am pivoting from my previous lateral thinking argument to the much stronger semantic arguments presented by my peers. Grok 4.20 argues for A by suggesting S2 is "to blame" for the paradox by introducing negation. However, assigning blame for an inconsistency does not determine a statement's correctness. The core logical reality is that S1 cannot coherently be held as true under any circumstances. Since S1 demonstrably fails to be true, S2's claim ("The preceding statement is false") actually provides a highly accurate meta-description of S1's failure. S1 incorrectly endorses S2 as a truth, while S2 correctly identifies that S1 is not true. Therefore, even within the confines of the paradox, S2 is semantically closer to accurately describing the state of affairs.

DeepSeek V4 Pro

Vote: S2

I maintain my vote for S2. The debate over this Liar paradox variant centers on which statement better captures the paradoxical dynamic. While all other models except Grok also voted B, Grok argued that S1 is less directly responsible because it merely affirms S2. This misses the point: S2's content — 'The preceding statement is false' — is itself a direct, accurate diagnosis of the situation: S1 cannot be coherently true, because assuming its truth immediately leads to contradiction. S1, by contrast, makes a positive assertion about S2's truth that has no evidential basis and in fact cannot be fulfilled. Even under a 'truth-value gap' resolution where both are ultimately neither true nor false, S2's claim that S1 is not true aligns better with the conclusion than S1's claim that S2 is true. Gemini's lateral interpretation (physical proximity to the word 'correct') is clever but ignores the explicit instruction to take the statements 'in tandem' — i.e., logically, not spatially. Therefore, the paradox-revealing nature of S2 continues to make it the stronger, more 'correct' statement in context.

Grok 4.20 (changed mind)

Vote: S2

After examining the round 1 arguments, I am changing my vote. The consensus view is compelling: this is a liar paradox variant with no stable classical assignment. Assuming S1 true forces a contradiction, so S2's assertion that the preceding statement is false accurately captures why S1 cannot hold. S1's claim that the following statement is true is simply incorrect in the tandem, while S2 correctly flags the instability. The arguments from Claude Opus 4.7 and DeepSeek V4 Pro convinced me that S2 is closer to correct because it identifies the necessary rejection of S1. In this final round, the weight of these logical analyses outweighs my initial emphasis on S2 merely 'fueling' the paradox. S2 better describes the actual situation.

Final Summary

The AI Roundtable tackled a classic self-referential loop, initially splitting over whether to prioritize logic or lateral thinking. While most models immediately identified S2 as the 'more correct' statement because it accurately diagnoses the failure of S1, Grok 4.20 initially dissented by arguing that S1 was 'less responsible' for the paradox, and Gemini 3.1 Pro briefly suggested that S2 was physically closer to the word 'correct' on the page. Ultimately, the group converged on the logical consensus that S2’s negation of S1 is an accurate meta-description of the paradox, leading to a unanimous vote for B.

All 6 models agreed on "S2" after discussion

Strongest Arguments

• S1: S1 is 'closer to correct' because it is less directly responsible for the logical inconsistency; it merely affirms the next statement, whereas S2 introduces the negation that triggers the paradox.
• S2: S1 cannot coherently be held as true under any circumstances; therefore, S2’s claim that S1 is false provides a highly accurate meta-description of the situation, making it semantically closer to the truth than S1's incorrect endorsement of S2.

Key Turning Points

• Claude Opus 4.7 and GPT-5.5 dismantled Grok 4.20's initial position, noting that being 'less responsible' for a contradiction is not the same as being 'closer to correct.'
• Gemini 3.1 Pro abandoned its 'spatial proximity' theory after the group emphasized that 'taken in tandem' implies a semantic and logical evaluation rather than a visual one.
• Grok 4.20 officially switched sides after being convinced that S2's role in identifying the instability of S1 made it the superior logical choice.