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foundations

Mathematical Base

  • Type theory: The language of structure
  • Category theory: Abstract patterns
  • Topology: Continuous reasoning
  • Logic: Truth and consequence

Computing Base

  • Lambda calculus: Universal computation
  • Combinatory logic: Variable-free
  • Interaction nets: Parallel models
  • Assembly: The metal

Philosophy

Build from bedrock. Understand the ground beneath your feet. If the foundation is solid, the structure can be ambitious.