Think deeper with Neo
An intelligent reasoning engine that shows every step. Transparent, adaptive, and beautifully minimal.
Reasoning in action
Logic Puzzle: The Island of Knights & Knaves
You meet two inhabitants: A says "B is a knight." B says "We are different types."
Assume A is a knight (always tells truth). Then B is a knight → B's statement "We are different" would be false → contradiction.
Therefore A must be a knave (always lies). Then A's statement is false → B is a knave. B's statement "We are different" is also false → consistent.
Conclusion: Both are knaves.
Algorithm: Binary Search Reasoning
Sorted array [1,3,5,7,9], target = 7. Low = 0, high = 4.
Mid = (0+4)//2 = 2 → value 5 < 7 → discard left half, low = 3.
Mid = (3+4)//2 = 3 → value 7 == target → found at index 3.
Outcome: Element found in O(log n) steps.
Scientific: Hypothesis Testing
Observation: Plants grow faster with Music A than with Music B.
Null hypothesis: No difference. Controlled experiment with 20 plants each.
Result: p-value = 0.03 < 0.05 → reject null → Music A has significant effect.
Insight: Evidence supports the alternative hypothesis.
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