① Reality② Perceive③ ConstructRealityphenomenonread with perspective (angle & granularity)ideaSubjectabstracty = f(x,y,z...)RationaleStructureConceptObservationArchitecturepredictnew observationtestmismatch - refine
Human Knowledge: an evolving approximation of reality that enables understanding and solving problems
RealityHuman Knowledgeinterconnected / evolvingabstracted fromtrain onLLMlearns patterns fromcollective knowledgehuman knowledge is already approximate - LLM inherits this
LLMs: learn from collective human knowledge — an interconnected web, not a simple sum; yet it must still be aligned with reality
Domain Expertfrontier / up-to-dateLLMcompressed / accessible(training cutoff)learn fromDomain PlaybookRationalewhy it worksStructureConceptsObservationdomain structurelearn viavisuals process fasterLearn by DoingTheoryknow whatPracticeknow howcompilerefinesolidify → apply flexibly
Learning:
  • • Find the playbook that suits us via providing our background and level on the domain
  • • Filter Material: prefer visual interactive materials with practices
  • • So to understand domain concepts and how these concepts are connected on what basis
  • • Practice to solidify concepts and logic understanding so to apply better
① Learn Domain 1② Learn Domain 2③ Think & Practice④ Discover Shared FoundationDomain 1Concept 1Concept 2...Pattern 1Pattern 2Domain 2Concept 1Concept 2...Pattern 1Pattern 2P1 ≈ P1 ?iterateinsightDomain 1ConceptsPattern 1Pattern 2Domain 2ConceptsPattern 1Pattern 2Shared FoundationShared ConceptsShared Pattern 1Shared Pattern 2transferDomain 3new domainPattern 1 variant ✓recognizedPattern 2 variant ✓recognizednew syntax only
Cross-domain Learning:
  • Solidify: Learn concepts → recognize patterns → understand rationale
  • Apply: Same patterns appear across domains with different syntax
Human + ProblemLLMThree Modes??Problemhas unknownconsult aboutunknownpattern accumulator1. Retrieval Modesituationpatternsolutionmost problemsalready solved2. Perspective Switchstuckswitchperspective!different levels and anglesunlocksretrieval3. Foundation ModeD1D2D3sharedtransferablepatternhighestleverage
Problem Solving with LLM: Consult LLM about what you don't know — retrieve patterns, switch perspectives, or surface shared foundations
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