The 8 Axes of the Spectrum of Philosophy

A detailed model adding dimensions of tradition and change. Axis 1: Analytic-Continental. Axis 2: Theoretical-Practical. Axis 3: Realist-Antirealist. Axis 4: Individualist-Holist. Axis 5: A Priori-A Posteriori. Axis 6: Foundationalist-Coherentist. Axis 7: Traditionalist-Progressive (philosophy conserves wisdom vs. philosophy critiques tradition). Axis 8: Systematic-Aphoristic (philosophy as system vs. philosophy as fragments/essays). These eight axes create 256 philosophical positions. Nietzsche is continental, practical, antirealist (about many things), individualist, a posteriori (genealogy), coherentist (will to power as organizing principle), progressive (critiques tradition), aphoristic. Hegel is analytic-ish, theoretical and practical, realist (Absolute), holist, a priori in some readings, foundationalist (dialectic), traditionalist (preserves while sublating), systematic. The 8 Axes demonstrate that style and relationship to tradition are as defining as content.

The 8 Axes of the Spectrum of Philosophy "You think philosophy is just arguments. The 8 Axes show that's one style—systematic, analytic, traditionalist. But aphoristic, progressive, continental philosophy exists, and it's not failed analytic philosophy—it's a different game. The axes help you see that philosophy is a family of practices, not a single method."

by Dumu The Void February 25, 2026

The 12 Axes of the Spectrum of Philosophy

An ultra-fine-grained model adding dimensions of audience and purpose. Building on the 8 Axes, we add: Axis 9: Esoteric-Exoteric (philosophy for initiates vs. for everyone). Axis 10: Therapeutic-Investigative (philosophy heals vs. philosophy discovers). Axis 11: Descriptive-Prescriptive (philosophy describes reality vs. tells us how to live). Axis 12: Secular-Sacred (philosophy independent of religion vs. continuous with spiritual practice). These twelve axes generate 4096 philosophical positions. Stoicism is both theoretical and practical, realist (logos), individualist, a posteriori and a priori, coherentist, traditionalist (follow nature), aphoristic and systematic, exoteric, therapeutic, prescriptive, sacred (cosmos as divine). The 12 Axes reveal that ancient philosophy was often therapeutic and sacred—a very different project from modern academic philosophy.

The 12 Axes of the Spectrum of Philosophy "You think philosophy is useless because it doesn't make you happier. The 12 Axes ask: which philosophy? Stoicism is therapeutic—it's designed to make you happier. Academic metaphysics isn't. Same label, completely different purposes. The axes help you find the philosophy you need, not just the philosophy that exists."

by Dumu The Void February 25, 2026

The 16 Axes of the Spectrum of Philosophy

The ultimate model, adding the final dimensions of relationship to science and to life. Building on the 12 Axes, we add: Axis 13: Scientistic-Humanistic (philosophy should emulate science vs. philosophy is distinct from science). Axis 14: Professional-Public (philosophy for academics vs. for everyone). Axis 15: Critical-Constructive (philosophy deconstructs vs. philosophy builds). Axis 16: Autonomous-Embedded (philosophy stands alone vs. embedded in culture, politics, life). These sixteen axes generate 65,536 potential positions—enough to capture every philosophical movement, every school, every thinker, every approach. The 16 Axes of the Spectrum of Philosophy reveal that philosophy is not a single discipline but a multidimensional space of practices, purposes, and styles. The 16 Axes don't tell you what to believe—they tell you who you are as a philosopher. And until you can answer them, you're not doing philosophy—you're just repeating what you've heard.

The 16 Axes of the Spectrum of Philosophy "You want to know what philosophy is. The 16 Axes answer: it depends. For Plato, philosophy was esoteric, sacred, constructive, embedded, humanistic, public, theoretical and practical, realist, holist, a priori, foundationalist, traditionalist, systematic, therapeutic, prescriptive. For a contemporary analytic philosopher, it's exoteric, secular, critical, autonomous, scientistic, professional, theoretical, realist or antirealist depending, individualist often, a posteriori often, coherentist often, progressive, systematic, investigative, descriptive. Same word, sixteen axes of difference. The axes don't define philosophy—they give you a language to ask what anyone means by it. And that's the most philosophical thing of all."

The axes allow you to locate any philosopher, any tradition, any text—and to understand what kind of philosophy you're doing, or want to do. Are you analytic or continental? Theoretical or practical? Realist or antirealist? Individualist or holist? A priori or a posteriori? Foundationalist or coherentist? Traditionalist or progressive? Systematic or aphoristic? Esoteric or exoteric? Therapeutic or investigative? Descriptive or prescriptive? Secular or sacred? Scientistic or humanistic? Professional or public? Critical or constructive? Autonomous or embedded? Sixteen questions, and your answers define your philosophy.

by Dumu The Void February 25, 2026

The 2 Axes of the Logic Spectrum

A foundational model for understanding logical systems along two fundamental dimensions. The first axis runs from Formal Logic (concerned with pure form, syntax, validity regardless of content—math-like reasoning) to Informal Logic (concerned with real-world arguments, fallacies, natural language—how people actually reason). The second axis runs from Classical Logic (bivalent, law of excluded middle, truth-functional—Aristotle to Frege) to Non-Classical Logic (deviations: many-valued, paraconsistent, intuitionistic, fuzzy). These two axes create four basic logical orientations: formal-classical (standard mathematical logic), formal-nonclassical (modal logic, fuzzy logic), informal-classical (critical thinking textbooks, fallacy studies), informal-nonclassical (practical reasoning with uncertainty, everyday fuzzy logic). The model reveals that "logic" isn't one thing—it's a family of tools for different purposes, from pure mathematics to everyday argument evaluation.

The 2 Axes of the Logic Spectrum "You say someone's argument is illogical. The 2 Axes ask: by which logic? Classical formal logic might call it invalid. Informal logic might see it as reasonable in context. Fuzzy logic might give it .73 truth. Same argument, three different verdicts. The axes help you see that 'logic' isn't a single judge—it's a panel, and they don't always agree."

by Dumu The Void February 25, 2026

The 4 Axes of the Logic Spectrum

An expanded model adding two crucial dimensions to the basic framework. Axis 1: Formal-Informal (form vs. content). Axis 2: Classical-Nonclassical (standard vs. alternatives). Axis 3: Deductive-Inductive (certain inference vs. probabilistic inference). Axis 4: Monotonic-Nonmonotonic (adding premises never invalidates conclusions vs. conclusions can be defeated by new information). These four axes create sixteen logical positions. Mathematical logic is formal, classical, deductive, monotonic. Legal reasoning is informal, classical (mostly), inductive (evidence weighs), nonmonotonic (new evidence changes everything). AI reasoning is often formal, nonclassical (fuzzy, probabilistic), inductive, nonmonotonic. The 4 Axes reveal that different domains require different logics—using monotonic deductive logic for legal reasoning would be disastrous.

The 4 Axes of the Logic Spectrum "You think logic is universal. The 4 Axes show otherwise: math logic is monotonic—once proven, always proven. Legal logic is nonmonotonic—new evidence overturns verdicts. Same logic label, completely different behavior. The axes help you see why your 'logical' argument fails in court: you're using the wrong logic for the domain."

by Dumu The Void February 25, 2026

The 6 Axes of the Logic Spectrum

A comprehensive model adding dimensions of truth and inference. Axis 1: Formal-Informal. Axis 2: Classical-Nonclassical. Axis 3: Deductive-Inductive. Axis 4: Monotonic-Nonmonotonic. Axis 5: Bivalent-Many-Valued (two truth values vs. many). Axis 6: Truth-Preserving-Information-Preserving (logic keeps truth vs. logic keeps information). These six axes generate sixty-four logical positions. Relevance logic is formal, nonclassical, deductive, monotonic, bivalent, but demands relevance between premises and conclusion—it preserves relevance, not just truth. Fuzzy logic is formal, nonclassical, can be deductive or inductive, monotonic typically, many-valued (degrees of truth), truth-preserving (of degrees). The 6 Axes reveal that logical systems are designed for different goals—some prioritize certainty, others nuance, others relevance.

The 6 Axes of the Logic Spectrum "You want a logic that handles uncertainty. The 6 Axes ask: uncertainty as degrees of truth (fuzzy) or as probability (inductive)? Many-valued or probabilistic? Both are nonclassical, but they're different nonclassical. The axes help you choose the right tool, not just any tool labeled 'logic for uncertainty.'"

by Dumu The Void February 25, 2026

The 8 Axes of the Logic Spectrum

A detailed model adding dimensions of quantification and modality. Axis 1: Formal-Informal. Axis 2: Classical-Nonclassical. Axis 3: Deductive-Inductive. Axis 4: Monotonic-Nonmonotonic. Axis 5: Bivalent-Many-Valued. Axis 6: Truth-Preserving-Information-Preserving. Axis 7: First-Order-Higher-Order (quantification over individuals vs. over properties/functions). Axis 8: Extensional-Intensional (logic of truth values vs. logic of meanings/possibilities). These eight axes create 256 logical positions. Modal logic (necessity/possibility) is formal, nonclassical (in some classifications), deductive, monotonic, bivalent typically, truth-preserving, can be higher-order, intensional (deals with meanings across possible worlds). The 8 Axes demonstrate that the explosion of logical systems in the 20th century reflects different choices on these fundamental dimensions.

The 8 Axes of the Logic Spectrum "You think logic is just propositional calculus. The 8 Axes show that's one tiny point: formal, classical, deductive, monotonic, bivalent, truth-preserving, first-order, extensional. Modal logic changes intensional. Fuzzy logic changes many-valued. Nonmonotonic logic changes monotonic. The axes map the entire universe of logic—and you're still in the first galaxy."

by Dumu The Void February 25, 2026