ai verification behavior

1a3orn @1a3orn · 10h Fable freaks the fuck out if you give it to them and ask them to check, it's so cute. [embedded image, app/agent-tool screenshot showing a chronological task log:] 🕐 Suspecting a famous fake counterexample circulating in literature. 🕐 Computing Jacobian determinant via symbolic calculation. 🕐 Computing Jacobian determinant to verify counterexample claim. 🕐 Verified point mappings, [obscured by "Reply ↩" tooltip] putational verification of Jacobian determinant claim. 🕐 Verifying extraordinary mathematical discovery independently. (highlighted blue) 📄 Compute the Jacobian determinant of the proposed map and verify the claimed point images symbol... 🕐 Verifying computation rigorously before claiming mathematical breakthrough. 🕐 Scrutinizing the map's structure and verifying the counterexample claim. 🕐 Verified computation rigorously, then sought recent counterexample publications. 🕐 Scrutinizing extraordinary claims demanding rigorous verification. (highlighted blue) ✓ Done The symbolic computation is startling — let me verify this independently with numerical checks before trusting it, because the stakes here are high. Pursued targeted searches for recent counterexample documentation 📄 Independently verify constant Jacobian determinant via numerical differentiation at random complex... 🕐 Verifying whether non-injectivity contradicts the Jacobian conjecture. 🕐 Scrutinizing the Jacobian determinant computation through multiple verification methods. 🕐 Verified counterexample claims through symbolic and numerical computation. (highlighted blue) 🌐 Jacobian conjecture counterexample 2026 [9 results]