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Category Theory Practitioner's Handbook – Curated, Indexed Knowledge Base + Consultation Marketplace

A searchable, industry-specific knowledge base (wiki-style, built on Notion or custom) containing 200+ curated, cross-indexed articles, code examples, and diagrams showing category theory concepts applied to specific domains: type systems (Haskell, Scala), database design, compiler optimization, machine learning abstractions, and API design. Paired with a lightweight marketplace where users can book 1-on-1 consultations (30–60 min) with vetted category theory practitioners to solve specific problems in their codebase.

TEMPLATE

35 weeks • 70% confidence

Value Proposition

Unlike scattered blog posts and academic papers, this is a single, searchable source of truth indexed by problem (not by pure math concepts). Examples are code-first, not theory-first. The consultation marketplace lets you get expert help in 1–2 weeks, not 3 months of waiting for a university course. Handbook is free/freemium; consultations are paid, creating a natural funnel.

Target Audience

Software engineers at mid-to-large tech companies (fintech, ML, database, compilers) who need category theory to solve a specific technical problem but don't have time for a 12-week course. Also: startup CTOs and independent researchers who need fast, targeted help.

Key Features

  • 200+ articles organized by problem domain (type systems, databases, compilers, ML, APIs), not by pure math
  • Every article includes: intuitive explanation, formal definition, 2–3 code examples (Haskell/Scala/Python), related concepts, and 'when to use this'
  • Full-text search + faceted filters (by language, domain, difficulty level)
  • And more, with full implementation detail...

Tech Stack

Notion or Next.js + Algolia (knowledge base) React or Webflow (marketplace UI) Stripe (payments) Calendly API (scheduling)
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Original Problem

Mathematicians and computer scientists struggle to learn category theory without accessible, structured educational resources

Researchers, academics, and software engineers need to understand category theory to solve complex abstraction problems in mathematics and functional programming, but existing resources are scattered, overly theoretical, or lack practical applications. Current academic courses are expensive, geographically limited, and don't bridge the gap between pure mathematics and practical software development use cases.

Score: 22.6% • 2 demand signals