Mathematical foundations

Study first.
Formalize later.

A reading-first journey through logic, sets, algebraic structures, ordered fields, proofs, and the mathematics of analysis. Learn the statement, understand its dependencies, reconstruct the argument, then formalize it.

Method

Understand before automating.

Every theorem begins with its ambient structure, hypotheses, and conclusion. Formal verification is a further discipline, not a replacement for mathematical understanding.

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Resources & research

Selected public work and source materials.

Reference

Ordered-field axioms

The field and order axioms, derived algebraic and order theorems, and completeness in one structured reference.

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Flashcards

Foundations review deck

Version-controlled JSON cards progressing from notation to proof reconstruction. Interactive review is not yet published.

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Logic

Logic reading guide

A reading path through mathematical language, syntax, inference, proofs, and structures.

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Knowledge Explorer

Explore theorem dependencies and proof relationships in the standalone interactive application.

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