Studies

Axioma, applied.

Worked, runnable studies in the domains Axioma was built for — mathematics, computer science, and the formal side of philosophy. Each one runs the real interpreter, right in your browser.

Metaphysics

The Ethics, Machine-Checked

Spinoza wrote Part I as a dependency graph — here it runs: 36 propositions checked acyclic and grounded, two axioms never used, and necessitarianism at proof-depth ten.

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Philosophy of logic

The Tractatus, Computed

The sixteen truth-functions of 5.101 recomputed, everything regenerated from N(ξ̄), probability as exact ratios, and logic decided "by mere symbolic rules."

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Mathematics

Discrete Mathematics

Sets, logic and quantifiers, machine-checked proofs, number theory, counting and graphs — a full course, every example runnable.

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Computer science

Algorithms

From a factorial to a forward-chaining expert system — sorting, search, graph traversal, dynamic programming and symbolic AI.

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Philosophy

Symbolization

Epictetus' Enchiridion rendered as executable logic — the dichotomy of control, formalized and run.

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Philosophy

Analytical Philosophy

Frege, Russell, Carnap, Kripke, Quine — quantifiers, descriptions, belief opacity, modal worlds, and verificationism. Every example runs in your browser.

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Philosophy

Formal Philosophy

Default logic, provability, the sea-battle, belief revision, money-pumps, deontic logic, Newcomb and voting cycles — a 39-chapter anthology, distilled into ten runnable themes.

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Philosophy of economics

Mises vs Ayer

The Methodenstreit, run as code — is economics a priori? Praxeology against the verification principle, adjudicated proposition by proposition.

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Non-classical logic

Gaps, Gluts & the Limits of Logic

Watch the classical laws break: K3, the Logic of Paradox, FDE and Gödel G3 run natively — excluded middle, explosion, and double negation as one-line tests.

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Epistemology

What a Claim Knows About Itself

Every fact carries its own bookkeeping — a grounding tier (how it was derived) and a kind (what it draws on), both computed automatically through inference.

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Knowledge representation

Ontologies that Reason

Description-Logic ALC as a real tableau reasoner — concept algebra, satisfiability, subsumption, defined concepts and partitions. OWL-class reasoning, no XML.

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Philosophy of science

Confirmation & Meaning

Carnap's inductive logic and the verifiability criterion, executable — degree of confirmation to the digit, the λ-continuum of learning, and the pseudo-statement test.

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