Analytic of Principles: The System

Chapter II. The System of Principles

Kant organizes the principles of the pure understanding into four groups, corresponding to the four classes of categories:

Axioms of Intuition (quantity): all intuitions are extensive magnitudes.
Anticipations of Perception (quality): in all phenomena, the real has intensive magnitude.
Analogies of Experience (relation): experience is possible only through the representation of necessary connection of perceptions.
Postulates of Empirical Thought (modality): distinguish the possible, the actual, and the necessary.

The Axioms and Anticipations are mathematical principles, they govern the form and degree of sensory content. The Analogies and Postulates are dynamical, they govern the relations between phenomena and the modes of their existence.

Under the reconstruction, these principles are reframed as phenomenological regularities grounded in cognitive architecture. They describe how the human brain organizes experience, not how physical reality is structured. The divergence between phenomenology and physics (which describes reality through “frontal linguistic analysis” rather than direct perception) is not a problem to be solved but evidence that confirms the phenomenon / thing-in-itself distinction.

The Analogies of Experience

Kant identifies three Analogies corresponding to the three relational categories:

First Analogy: Substance

Kant’s claim: in all change of phenomena, substance is permanent; its quantum is neither increased nor diminished.

Phenomenologically, this is correct as a description of how we experience the world. We do not experience objects as popping in and out of existence. A cup that gets dented is the same cup. A person who ages is the same person. Object permanence is a deep cognitive primitive, present from infancy, cross-species, and robustly conserved. The architecture literally cannot help experiencing the world as populated by persistent substances that undergo change rather than being replaced.

The ventral stream and hippocampus track object identity across occlusion, feature change, and temporal gaps. This is a dedicated computational system with dedicated cerebral localization. When it fails (in certain agnosias, severe dementia, or specific lesion presentations), the phenomenology of substance fails with it, the person can no longer track objects as persisting entities.

Kant’s principle holds as a phenomenological regularity, not as a metaphysical necessity about matter or as a claim about physical reality. It is how the brain must process experience for experience to be coherent.

Second Analogy: Causality

Kant’s claim: all changes take place according to the law of connection of cause and effect.

Phenomenologically: we experience events as caused. Causal binding happens automatically, at sub-second timescales, before any deliberate inference. We see the cue ball strike the eight ball making it move. We do not see two independent motions and then infer causation; the causal structure is built into the perception itself.

This is the core operation of predictive processing. Every cortical hierarchy is a causal predictor: it generates expectations about what comes next given what is happening now, and it updates when predictions fail. Causality is not a rule applied after the fact; it is how the temporal processing of the brain is organized at every level.

Third Analogy: Community

Kant’s claim: all substances, insofar as they coexist, stand in thoroughgoing community (mutual interaction).

Phenomenologically: we experience objects as a coupled system, not as isolated atoms. When you push a table, you feel it pushing back. When two people speak, they co-modify each other. We see agents and objects as reciprocally affecting each other.

As established in the Analytic of Conceptions, community is not a primitive but a composition, bidirectional causal tracking. The phenomenological regularity holds, but the underlying architecture is cause-and-effect operating in both directions, not a separate “community-detection” system.

The Analogies as Specially Conserved Regularities

Kant treats the Analogies as synthetic a priori principles: necessary truths that govern any possible experience. Under the reconstruction, they are neither transcendental necessities nor arbitrary empirical regularities. They are specially conserved regularities, patterns that are robustly maintained because their absence is incompatible with functioning human life.

Selection pressure operates at multiple levels:

Evolutionary: brains that failed to causally bind, track persistent objects, or predict mutual interaction did not survive encounters with predators, prey, environment, or conspecifics.
Developmental: children whose cognitive architecture fails to acquire object permanence and causal reasoning fail to develop normally.
Social/practical: adults whose substance-tracking or causal binding breaks down (certain psychotic states, severe dissociative disorders, specific stroke presentations) cannot engage with the shared human world.
Cultural: language, cooperation, institutions, tools, all presuppose these phenomenological regularities.

The clinical evidence confirms their status precisely. When the Analogies break down, the person inhabits a different phenomenology objects don’t stay the same, events don’t feel caused, the world fragments into disconnected elements. These cases demonstrate both that the Analogies are NOT transcendentally necessary (they can break) AND that they are specially conserved (their breakdown is incompatible with shared human function).

Schneider (the patient extensively studied by Gelb, Goldstein, and later analyzed by Merleau-Ponty) is the paradigmatic case. After occipital injury, he retained concrete engagement with objects and events in their immediate contexts, but the capacity to operate the categories of substance and quantity in the abstract was destroyed. He could not count on command. He could not carry out substance- categorization in imagination. The Analogies held for him only in concrete situations; abstracted from those contexts, they failed.

Other cases align with the pattern. Capgras delusion preserves substance-recognition at the perceptual level but disrupts the phenomenology of identity, the loved one is recognized but feels substituted, a failure of substance-tracking in its deepest sense. Akinetopsia (motion blindness after specific cortical lesions) removes the experience of causal succession, the patient sees only static snapshots, losing the continuous change that makes causal perception possible. Severe dissociative states disrupt substance and cause together: the world fragments, objects lose their persistence, events do not seem to flow from one another.

Each such case cuts at a specific architectural joint. Each produces a specific failure of the Analogies. Together they confirm that the Analogies are not transcendental necessities but specially conserved regularities implemented in specific tissue.

This is a weaker kind of necessity than Kant posited, but a more accurate one: practical necessity for viable human cognition. The Analogies hold robustly for humans engaged in shared life, not because of a transcendental faculty, but because deviation from them selects against continued shared life.

The Postulates of Empirical Thought

Kant’s modal postulates:

Possible: whatever agrees with the formal conditions of experience.
Actual: whatever is connected with the material conditions of experience (sensation).
Necessary: whatever is connected with the actual according to universal conditions of experience.

Under the reconstruction, Kant’s three modal categories are not three points on a single probability continuum. They are three distinct kinds of modal question that can be asked of a generative model, each admitting of probabilistic gradation:

Possibility: What Can the Model Generate?

Possibility concerns the MODEL’S TOLERANCE, what states are admitted by its structure, independent of current evidence. This is about the shape of the model itself.

Cognitively, this corresponds to counterfactual simulation: the brain’s capacity to generate alternative scenarios, imagine futures, consider hypotheticals. The hippocampus and prefrontal cortex work together to produce these generative excursions. “Is it possible that it will rain tomorrow?”, the question is whether the model can generate the raining scenario as a coherent output, regardless of what the current evidence says.

Possibility admits of degree: some counterfactuals are easy to generate (raining tomorrow), others are more difficult (raining with green water), others fail the model’s coherence constraints (raining upward). Degree of possibility is something like how readily the generative model admits the scenario.

Actuality: What Is the Model Currently Committed To?

Actuality concerns the CURRENT POSTERIOR, given the evidence presently available, what state am I in. This is about present inference: the integration of sensory signals with priors to produce a confident representation of what is the case right now.

Cognitively, this corresponds to ongoing perception and its continuation into belief. The generative model is running, predictions are meeting evidence, posteriors are being computed. “Is it actually raining now?”, the question is about the current state of the posterior given present perceptual evidence.

Actuality also admits of degree: confident perception vs. uncertain perception, settled belief vs. hypothesis under consideration.

Necessity: What Is Invariant Under the Model’s Transformations?

Necessity concerns CONSTRAINT INVARIANCE, what remains true under all transformations the model admits. This is about structural invariants: what the model cannot generate otherwise.

Cognitively, this corresponds to inference from constraints, the recognition that certain regularities hold across every scenario the model produces. “Is it necessary that water falls downward?”, the question is whether this holds invariantly across all states the gravitational/meteorological model generates, or whether there are scenarios where it fails.

Necessity admits of degree: some constraints are hard (the subitizing range cannot exceed four or so), others are soft (causal regularities hold reliably but could in principle be violated), others are conventional (social rules that could be otherwise).

Three Different Operations, Not Three Values

These three modal questions correspond to three different cognitive operations implemented in partially different neural systems:

Possibility → generative simulation (hippocampus, prefrontal)
Actuality → perceptual inference (sensory cortex, predictive hierarchies)
Necessity → constraint inference (prefrontal, language-adjacent areas)

Kant’s three-fold distinction captures something real: not three probability VALUES on one continuum, but three kinds of question that can be asked of a generative model, each with its own probabilistic answer.

What is lost from Kant: the claim that these categories have apodictic status independent of the particular architecture that implements them.

What is kept: the insight that modality is genuinely three-dimensional, that these three operations are irreducible to one another, and that they correspond to structurally different features of the cognitive system.

Summary of the Analytic of Principles

The principles of the pure understanding are, under the reconstruction:

Axioms of Intuition: the forms of spatial and temporal organization as established in the Aesthetic. Extension and duration are how the architecture presents sensory content.
Anticipations of Perception: sensory processing produces graded signals, not binary. Intensity (the real in phenomena) has degree because the underlying neural computation does. A feature is present MORE OR LESS, not simply PRESENT or ABSENT.
Analogies of Experience: substance, cause, and community as specially conserved phenomenological regularities. Robustly maintained because deviation is incompatible with viable human cognition. Not transcendentally necessary, but practically necessary for shared life.
Postulates of Empirical Thought: possibility, actuality, and necessity as three distinct modal operations on the generative model. Each admits of degree. Each corresponds to different cognitive processes and different neural systems.

These principles describe how the human brain organizes experience. They do not describe the structure of physical reality. Physics, as a higher-order linguistic/mathematical construction, may describe reality in terms that diverge from these principles (and does). That divergence is not a refutation of Kant’s principles but confirmation of their status: they are features of the phenomenon, not features of the thing-in-itself.