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{"source": "historiography_field", "target": "epistemology_field", "relation_type": "logical", "relation": "Historiography raises epistemological questions about the nature and limits of historical knowledge", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "information_theory_field", "target": "mathematics_field", "relation_type": "logical", "relation": "Information theory is built on probability theory and uses mathematical entropy as its central measure", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "information_theory_field", "target": "technology_field", "relation_type": "applied", "relation": "All digital communication — the internet, compression, error correction — is built on information theory", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "information_theory_field", "target": "thermodynamics_field", "relation_type": "conceptual", "relation": "Shannon entropy is 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"harmony_concept", "target": "neuroscience_field", "relation_type": "applied", "relation": "Why certain harmonic combinations evoke specific emotions is an active neuroscience question — involving auditory cortex processing, expectation violation, and reward system activation", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "harmony_concept", "target": "tonality_concept", "relation_type": "logical", "relation": "Musical Harmony provides conceptual grounding that helps explain Tonality in this knowledge graph.", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "harmony_concept", "target": "opera_concept", "relation_type": "applied", "relation": "Musical Harmony is applied through practical methods that strengthen real-world work in Opera.", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "harmony_concept", "target": "orchestration_concept", "relation_type": "logical", "relation": "Musical 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{"source": "periodization_concept", "target": "arts_field", "relation_type": "applied", "relation": "Art history relies heavily on periodization — Baroque, Romantic, Modernist — but debates whether stylistic categories reflect genuine cultural shifts or impose false unity", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "causation_in_history_concept", "target": "historiography_field", "relation_type": "logical", "relation": "Explaining why events occurred is the central intellectual challenge of historiography — narrative description without causal analysis produces chronicle rather than history", "directed": false, "learning_prerequisite": false, "pending": false}, {"source": "causation_in_history_concept", "target": "philosophy_of_science_field", "relation_type": "conceptual", "relation": "Historical causation engages philosophy of science debates about whether covering-law explanation applies to unique events and whether narrative itself constitutes 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