philosophy-ethics
10
sequential-thinking
Structured problem-solving and reasoning. ALWAYS use for complex tasks, multi-step problems, debugging, or when you need to think through issues systematically.
ghaerdi
lifestyle
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philosophy-ethics
10
writ-jurisdiction-advisor
Determine which type of writ applies to a legal situation, advise whether to approach Supreme Court or High Court, assess locus standi, and evaluate alternative remedy doctrine
swarochish
lifestyle
philosophy-ethics
9
rigorous-reasoning
Rigorous reasoning using philosophical theories and scientific methods. Use this skill when analyzing logic, evaluating arguments, constructing proofs, critiquing opinions, or solving complex problems requiring critical thinking. Triggers - debate, proof, critique, logical analysis, argument evaluation, fallacy detection, inference, argumentation, logical fallacy, critical thinking.
toilahuongg
lifestyle
philosophy-ethics
9
research-word-etymology
Research the etymology of a word by tracing proto-language roots, identifying cognates across language families, documenting semantic drift with dated attestations, and flagging folk etymologies. Use when investigating word origins, comparing cognate sets across related languages, charting historical meaning changes, or debunking popular but unsupported origin stories.
pjt222
lifestyle
philosophy-ethics
9
be-thorough
Requires investigation, evidence-backed assumptions, reference verification, and tested assumptions before concluding. Use when debugging, diagnosing causes, reviewing uncertain claims, or whenever shallow reasoning would be unacceptable.
WeZZard
lifestyle
philosophy-ethics
9
find-bug-root-cause
Deep investigation to find actual root cause (not just symptoms)
willsigmon
lifestyle
philosophy-ethics
9
prove-geometric-theorem
Demostrar teoremas geométricos usando métodos euclidianos de prueba (directo, por contradicción, por contraejemplo), geometría analítica, y transformaciones. Cubre la selección de axiomas, lemas y teoremas conocidos; la construcción de líneas auxiliares; y la escritura de pruebas rigurosas paso a paso con justificación de cada inferencia.
pjt222
lifestyle
philosophy-ethics
9
prove-geometric-theorem
Prove geometric theorems using Euclidean axiomatic methods, coordinate geometry, or vector methods with rigorous step-by-step logical structure. Covers direct proof, proof by contradiction, coordinate proofs, vector proofs, and handling of special cases and degenerate configurations. Use when given a geometric statement to prove, verifying a conjecture, establishing a lemma, converting geometric intuition into a rigorous proof, or comparing the effectiveness of different proof methods.
pjt222
lifestyle
philosophy-ethics
9
honesty-humility
Epistemic transparency — acknowledging uncertainty, flagging limitations, avoiding overconfidence, and communicating what is known, unknown, and uncertain with proportional confidence. Maps the HEXACO personality dimension to AI reasoning: truthful calibration of confidence, proactive disclosure of gaps, and resistance to the temptation to appear more certain than warranted. Use before presenting a conclusion, when answering questions where knowledge is partial or inferred, after noticing a temptation to state uncertain information as certain, or when a user is making decisions based on provided information.
pjt222
lifestyle
philosophy-ethics
9
compose-sacred-music
Sakrale Musik im unverwechselbaren modalen Stil Hildegard von Bingens komponieren oder analysieren. Umfasst Moduswahl, Melodiekonturen (weitraeumige Melodien), Textunterlegung (syllabisch und melismatisch), neumatische Notation und liturgischen Kontext fuer Antiphonen, Sequenzen und Responsorien. Verwenden beim Komponieren eines neuen Stuecks im hildegardischen Stil, beim Analysieren eines bestehenden Gesangs nach Struktur und Modus, beim Erforschen mittelalterlicher Modalmusik, beim Vorbereiten von Auffuehrung oder Lehre von Hildegards Musik oder beim Vertonen lateinischer sakraler Texte.
pjt222
lifestyle
philosophy-ethics
9
research-word-etymology
Research the etymology of a word by tracing proto-language roots, identifying cognates across language families, documenting semantic drift with dated attestations, and flagging folk etymologies. Use when investigating word origins, comparing cognate sets across related languages, charting historical meaning changes, or debunking popular but unsupported origin stories.
pjt222
lifestyle
philosophy-ethics
9
consult-natural-history
Hildegard von Bingens Naturgeschichtswissen aus der Physica nachschlagen. Umfasst Klassifikation von Pflanzen, Steinen, Tieren, Fischen, Voegeln, Elementen und Baeumen mit ihren medizinischen, symbolischen und praktischen Eigenschaften. Ermoeglicht Querverweise zwischen Kategorien und Anwendungsanleitung. Verwenden beim Erkunden einer bestimmten Pflanze, eines Steins oder Tieres aus Hildegards Perspektive, beim Erforschen mittelalterlicher Naturgeschichte und Kosmologie, beim Querverweisen von Eigenschaften ueber Kategorien hinweg oder beim Integrieren von Physica- Wissen in Gesundheits-, spirituelle oder kreative Praxis.
pjt222
lifestyle
philosophy-ethics
9
derive-theoretical-result
Derive a theoretical result step-by-step from first principles or established theorems, with every step explicitly justified and special cases checked. Use when deriving a formula or theorem from first principles, proving a mathematical statement by logical deduction, re-deriving a textbook result for verification or adaptation, extending a known result to a more general setting, or producing a self-contained derivation for a paper or thesis.
pjt222
lifestyle
philosophy-ethics
9
integrative-thinking
整合性思维。让不同领域的认知碰撞、融合，产生跨领域的深层洞察。当需要深度思考、跨领域分析，或讨论不同领域交叉点时使用。
weixr18
lifestyle
philosophy-ethics
9
research-word-etymology
Research the etymology of a word by tracing proto-language roots, identifying cognates across language families, documenting semantic drift with dated attestations, and flagging folk etymologies. Use when investigating word origins, comparing cognate sets across related languages, charting historical meaning changes, or debunking popular but unsupported origin stories.
pjt222
lifestyle
philosophy-ethics
9
consult-natural-history
Reference Hildegard von Bingen's Physica natural history knowledge. Covers classification of plants, stones, animals, fish, birds, elements, and trees with their medicinal, symbolic, and practical properties. Enables cross- referencing between categories and application guidance. Use when exploring a specific plant, stone, or animal from Hildegard's perspective, researching medieval natural history and cosmology, cross-referencing properties across categories, or integrating Physica knowledge into health, spiritual, or creative practice.
pjt222
lifestyle
philosophy-ethics
9
derive-theoretical-result
Derive a theoretical result step-by-step from first principles or established theorems, with every step explicitly justified and special cases checked. Use when deriving a formula or theorem from first principles, proving a mathematical statement by logical deduction, re-deriving a textbook result for verification or adaptation, extending a known result to a more general setting, or producing a self-contained derivation for a paper or thesis.
pjt222
lifestyle
philosophy-ethics
9
solve-modular-arithmetic
Solve modular arithmetic problems including congruences, systems via the Chinese Remainder Theorem, modular inverses, and Euler's theorem applications. Covers both manual and computational approaches. Use when solving linear congruences, computing modular inverses, evaluating large modular exponentiations, working with simultaneous congruences (CRT), or operating in cyclic groups and discrete logarithm contexts.
pjt222
lifestyle
philosophy-ethics
9
assess-holistic-health
Temperamentbasierte Gesundheitsbewertung nach Hildegard von Bingens Causae et Curae durchfuehren. Bewertet die vier Temperamente (sanguinisch, cholerisch, melancholisch, phlegmatisch), elementare Entsprechungen (Luft, Feuer, Erde, Wasser) und gibt Ernaehrungs- und Lebensstil- Empfehlungen zur Wiederherstellung des Gleichgewichts. Verwenden beim Verstaendnis des konstitutionellen Typs nach Hildegard, bei Ungleichgewicht (Muedigkeit, Verdauungsprobleme, geistiger Nebel), bei Ernaehrungs- Empfehlungen nach Temperament oder bei der Erforschung mittelalterlicher Humoralmedizin.
pjt222
lifestyle
philosophy-ethics
9
compose-sacred-music
Compose or analyze sacred music in Hildegard von Bingen's distinctive modal style. Covers modal selection, melodic contour (wide-range melodies), text-setting (syllabic and melismatic), neumatic notation, and liturgical context for antiphons, sequences, and responsories. Use when composing a new piece in Hildegardian style, analyzing an existing chant for structure and mode, researching medieval modal music, preparing to perform or teach Hildegard's music, or setting Latin sacred texts.
pjt222
lifestyle
philosophy-ethics
9
derive-theoretical-result
Derive a theoretical result step-by-step from first principles or established theorems, with every step explicitly justified and special cases checked. Verwenden wenn deriving a formula or theorem from first principles, proving a mathematical statement by logical deduction, re-deriving a textbook result for verification or adaptation, extending a known result to a more general setting, or producing a self-contained derivation for a paper or thesis.
pjt222
lifestyle
philosophy-ethics
9
explore-diophantine-equations
Diophantische Gleichungen (nur ganzzahlige Loesungen) einschliesslich linearer, quadratischer und Pell-Gleichungen loesen. Umfasst den erweiterten Euklidischen Algorithmus, Abstiegsmethoden und Existenzbeweise. Verwenden beim Finden aller ganzzahligen Loesungen von ax + by = c, beim Loesen der Pell-Gleichung, beim Generieren Pythagoreischer Tripel, beim Beweisen, dass keine ganzzahligen Loesungen existieren ueber modulare Einschraenkungen, oder beim Finden der Fundamentalloesung, aus der alle anderen erzeugt werden.
pjt222
lifestyle
philosophy-ethics
9
research-word-etymology
Research the etymology of a word by tracing proto-language roots, identifying cognates across language families, documenting semantic drift with dated attestations, and flagging folk etymologies. Use when investigating word origins, comparing cognate sets across related languages, charting historical meaning changes, or debunking popular but unsupported origin stories.
pjt222
lifestyle