Agent Skills by the-thinker
Showing 16 vetted skills indexed across 1 GitHub repositories.
the-thinker0abstraction
Extract abstract structural patterns from complex problems using multiple mathematical lenses.
the-thinker0meta-selector
Analyze ambiguous problem features to recommend 1–3 thinking tools with primary status and mode.
the-thinker0algorithmic-thinking
Decompose problems into subproblems and select algorithmic paradigms with complexity analysis.
the-thinker0topological-thinking
Identify persistent topological features like connected components and holes in data.
the-thinker0logic-deduction
Review premises, inference steps, and argument structure for logical soundness.
the-thinker0optimization
Formalize decision problems as optimization tasks with objectives and constraints.
the-thinker0transformation
Diagnose problem difficulty, apply a transformation, solve, and invert back.
the-thinker0information-theory
Quantify uncertainty with entropy and mutual information measures.
the-thinker0modeling
Formalize real-world problems into mathematical or logical models.
the-thinker0probability-statistics
Quantify uncertainty in data-driven decisions using probability theory.
the-thinker0discrete-combinatorial
Count configurations and discover recurrences in finite discrete structures.
the-thinker0symmetry-invariance
Analyze problems by revealing invariants and orbit structures under symmetry actions.
the-thinker0game-theory
Identify players, strategies, and payoffs to compute Nash equilibria.
the-thinker0induction-analogy
Generate testable hypotheses from limited observations using induction and analogy.
the-thinker0axiomatization
Formalize foundational assumptions into axioms and audit consistency, independence, and completeness.
the-thinker0causal-inference
Compute causal effects from observational data using do-calculus and DAGs.