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A comprehensive model adding dimensions of certainty and access. Axis 1: A Priori-A Posteriori. Axis 2: Propositional-Procedural. Axis 3: Personal-Communal. Axis 4: Explicit-Tacit. Axis 5: Certain-Fallible (knowledge that can't be wrong vs. knowledge that might be mistaken). Axis 6: Direct-Inferential (known directly vs. known through reasoning). These six axes generate sixty-four knowledge positions. Mathematical knowledge is a priori, propositional, personal (when learned), explicit, certain (in ideal), inferential (proved). Perceptual knowledge is a posteriori, propositional, personal, explicit (usually), fallible, direct. The 6 Axes reveal that different kinds of knowledge have different epistemic statuses—certainty isn't the same for all.
The 6 Axes of the Knowledge Spectrum "You demand certainty. The 6 Axes ask: what kind of knowledge? Math can be certain (maybe). Perceptual knowledge can't—that's not its function. Certainty is a feature of some knowledge types, not a requirement for all. The axes help you see that demanding certainty from empirical knowledge is asking for the wrong thing."
by Dumu The Void February 25, 2026
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A detailed model adding dimensions of subject matter and value. Axis 1: A Priori-A Posteriori. Axis 2: Propositional-Procedural. Axis 3: Personal-Communal. Axis 4: Explicit-Tacit. Axis 5: Certain-Fallible. Axis 6: Direct-Inferential. Axis 7: Empirical-Conceptual (knowledge of facts vs. knowledge of concepts/meanings). Axis 8: Instrumental-Intrinsic (knowledge for use vs. knowledge for its own sake). These eight axes create 256 knowledge positions. Scientific knowledge is a posteriori, propositional, communal, explicit, fallible, inferential, empirical, both instrumental and intrinsic. Philosophical knowledge is often a priori, propositional, personal (though debated), explicit, fallible (or certain in some views), inferential, conceptual, intrinsic. The 8 Axes demonstrate that knowledge isn't just about truth—it's about purpose, subject, and value.
The 8 Axes of the Knowledge Spectrum "You say knowledge is just facts. The 8 Axes ask: facts about what? Empirical facts (science) or conceptual facts (philosophy)? Facts for use (engineering) or for understanding (pure math)? The axes show that 'facts' are as varied as knowledge itself. Treating all knowledge as empirical facts for use is like treating all food as protein bars—nutritionally reductive and spiritually empty."
by Dumu The Void February 25, 2026
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An ultra-fine-grained model adding dimensions of justification, reliability, and social context. Building on the 8 Axes, we add: Axis 9: Justified-Unjustified (knowledge requires justification vs. reliable process suffices). Axis 10: Internalist-Externalist (justification depends on internal reasons vs. external reliability). Axis 11: Individualist-Social (knowledge is individual achievement vs. fundamentally social). Axis 12: Universal-Particular (knowledge of general truths vs. knowledge of specific facts). These twelve axes generate 4096 knowledge positions. Traditional epistemology (Plato's justified true belief) is internalist (reasons matter), individualist (the knower knows), and applies to both universal and particular. Reliabilist epistemology is externalist (reliable process suffices), individualist, universal and particular. Social epistemology is social (knowledge is communal achievement), externalist often, universal and particular. The 12 Axes reveal that debates about what knowledge is—justified true belief? reliable process? social achievement?—are debates about which axes matter most.
The 12 Axes of the Knowledge Spectrum "You think knowledge is justified true belief. The 12 Axes ask: justified internally (by reasons) or externally (by reliability)? Individually or socially? Universal or particular? Plato's definition assumes answers—internalist, individualist, both universal and particular. But externalists and social epistemologists disagree. The axes show that 'knowledge' is contested because different epistemologists make different choices on these axes—not because they're confused, but because knowledge itself is multidimensional."
by Dumu The Void February 25, 2026
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The ultimate model, adding the final dimensions of scope, certainty, and the epistemic subject. Building on the 12 Axes, we add: Axis 13: Defeasible-Indefeasible (knowledge can be overturned vs. immune to revision). Axis 14: Absolute-Relative (knowledge holds for all vs. relative to framework). Axis 15: Human-Transhuman (knowledge accessible to humans vs. beyond human capacity). Axis 16: Finite-Infinite (knowledge is bounded vs. potentially infinite). These sixteen axes generate 65,536 potential positions—enough to capture every epistemological theory, every conception of knowledge, every debate about what it means to know. The 16 Axes of the Knowledge Spectrum reveal that knowledge is not a simple concept but a multidimensional space of possibilities. The 16 Axes don't tell you which conception of knowledge is correct—they give you a language for understanding what any knowledge claim involves, what it assumes, and how it relates to other kinds of knowing. They are the map of the space of human understanding—the periodic table of epistemology itself.
The 16 Axes of the Knowledge Spectrum "You want to know what knowledge is. The 16 Axes answer: it depends. For a scientist, knowledge is a posteriori, propositional, communal, explicit, fallible, inferential, empirical, instrumental, justified, externalist, social, particular, defeasible, relative, human, finite. For a mathematician, it's a priori, propositional, personal, explicit, certain, inferential, conceptual, intrinsic, justified, internalist, individualist, universal, indefeasible, absolute, human, infinite. For a mystic, it's experiential, procedural/tacit, personal, tacit, certain (to them), direct, both, intrinsic, justified by experience, externalist (experience is reliable), individualist, particular, defeasible (to others), relative, human, finite. Same word, sixteen axes of difference. The axes don't define knowledge—they give you the language to ask what anyone means by it. And that's the most profound knowledge of all."
by Dumu The Void February 25, 2026
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A framework for evaluating evidence along eight key dimensions, providing a comprehensive map of where any piece of evidence falls. The 8 axes are: 1) Strength (how powerfully the evidence supports the claim), 2) Reliability (how trustworthy the source/method is), 3) Relevance (how directly the evidence addresses the claim), 4) Independence (how free the evidence is from conflict of interest), 5) Replicability (how consistently the finding can be reproduced), 6) Sample/Population Fit (how well the sample represents the population of interest), 7) Methodological Rigor (how well the study was designed and executed), and 8) Consilience (how well the evidence coheres with other established knowledge). These axes allow for nuanced evaluation rather than binary judgments.
The 8 Axes of the Evidence Spectrum Example: "They stopped arguing about whether the study was 'evidence' and started mapping it on the 8 axes. Strength: moderate. Reliability: high. Relevance: low (different population). Independence: questionable (industry funded). The axes showed where the evidence was strong and where it was weak—and why they disagreed about what it meant."
by Dumu The Void March 7, 2026
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An expanded framework for even more nuanced evaluation, adding eight dimensions to the original eight. The additional axes include: 9) Temporal Relevance (how current the evidence is), 10) Ecological Validity (how well the evidence reflects real-world conditions), 11) Mechanistic Understanding (whether we know why the evidence works), 12) Alternative Explanations (how thoroughly competing explanations have been ruled out), 13) Effect Size (how large the observed effect is, not just whether it's statistically significant), 14) Precision (how narrow the confidence intervals are), 15) Generalizability (how well the findings apply across contexts), and 16) Transparency (how fully the methods and data are available for scrutiny). The 16 axes provide a nearly complete picture of evidential quality, useful for high-stakes decisions where nuance matters.
The 16 Axes of the Evidence Spectrum *Example: "The policy debate was high-stakes, so they used all 16 axes. The evidence was strong on reliability and rigor, weak on ecological validity and generalizability. The 16 axes showed exactly where the uncertainty lay—not in whether the evidence existed, but in how well it applied. The policy was informed, not determined, by evidence—which is how it should be."*
by Dumu The Void March 7, 2026
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A framework for evaluating bullshit along eight key dimensions. The 8 axes are: 1) Truth-Indifference (how little the speaker cares about truth), 2) Evidence-Deficit (how unsupported the claim is), 3) Plausibility (how believable the claim is on its face), 4) Motivation (what the speaker gains from the bullshit), 5) Harm Potential (how much damage the bullshit can cause), 6) Virality (how likely it is to spread), 7) Resistance to Correction (how hard it is to debunk), and 8) Systemicity (whether it's isolated bullshit or part of a larger bullshit system). These axes allow for nuanced evaluation of bullshit, distinguishing between different types and degrees.
The 8 Axes of the Bullshit Spectrum *Example: "They stopped just calling things 'bullshit' and started mapping them on the 8 axes. The advertising claim was high on truth-indifference, low on harm potential. The conspiracy theory was high on everything—truth-indifference, harm, virality, resistance. The axes showed why one was annoying and the other dangerous—and why responding required different strategies."*
by Dumu The Void March 7, 2026
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