- Kant’s opening concern: “Is metaphysics possible?”
- Two horns of the dilemma:
- Yes → Why has it failed to achieve the recognized progress and unanimity of the natural sciences?
- No → Why does it persist in the pretence of being a science at all?
- Core difficulty: there is no agreed-upon measure in metaphysics to separate sound knowledge from mere talk.
- By asking the question of possibility, Kant openly allows for the suspicion that metaphysics may be impossible.
- Kant’s famous confession (p. 678):
- Quote: “I openly confess, the suggestion of David Hume was the very thing … that first interrupted my dogmatic slumber.”
- Hume argued that necessary connections cannot be discovered a priori.
- If Hume is right, all a-priori metaphysical links collapse, destroying traditional metaphysics.
- Kant takes Hume’s challenge as the impetus to build a “sturdy foundation” for metaphysics that rescues necessity without appeal to empiricism.
- By definition, metaphysics cannot be empirical; its knowledge must be a priori.
- Class reminder:
- A priori = independent of experience.
- A posteriori = dependent on experience.
Analytic vs. Synthetic Judgments
- Analytic judgment: predicate is contained in the concept of the subject.
- Example: “All bachelors are unmarried men.”
- Necessarily a priori because merely unpacking a concept yields truth.
- Synthetic judgment: predicate adds something new to the subject.
- Example: “All swans are white.”
- Can be either a priori or a posteriori.
- Empirical science = synthetic a posteriori.
- Mathematics & metaphysics = synthetic a priori.
Synthetic A Priori Judgments
1. Mathematics
- Every mathematical truth (e.g. (7+5=12)) is synthetic a priori:
- We must go beyond the concepts “7,” “5” to grasp their union (synthetic).
- The result “12” is grasped with necessity (a priori).
- Historically mistaken for analytic simply because of their necessity.
- Also aims at synthetic a priori propositions.
- Distinction:
- Judgments pertaining to metaphysics: agreed-upon analytic definitions.
- Metaphysical judgments proper: synthetic statements built upon those definitions.
- Crisis: Metaphysicians disagree about which synthetic judgments truly belong, hence no cumulative progress.
- Fact-check: synthetic a priori judgments undeniably work in mathematics and physics.
- Strategy: Analyze how they are possible in those domains → extract the principles → apply to metaphysics.
Pure Mathematics: Conditions of Possibility
- Mathematical cognition = connecting concepts via pure intuitions.
- Therefore, determine what pure intuition is.
Intuition: Empirical vs. Pure
- Empirical intuition: sense perception linking one sensation to another.
- Pure intuition: concept-connections without sense input.
- Puzzle: How can the mind possess such non-empirical structures?
Space & Time as Pure Intuitions
- We can anticipate objects prior to experience only if the intuition contains nothing except the form of sensibility.
- Result: Space (outer sense) & Time (inner sense) are pure intuitions that shape every possible experience.
- Terminological pair:
- Phenomena = objects as they appear within space-time → only level humans can know.
- Noumena = “things-in-themselves,” objects independent of our mode of representation → unknowable.
- Geometry = study of pure intuition of space.
- Arithmetic/ pure mechanics = rely on pure intuition of time (e.g. motion).
- Therefore mathematics has objective reality when applied to phenomena because it merely sets the rules of the space-time stage.
Pure Natural Science (Physics): Conditions of Possibility
- Nature concerns objects of experience, not things in themselves.
- Two tiers of natural science:
- Empirical (a posteriori): facts like inertia, impenetrability.
- Pure (a priori): laws that make experience possible and govern appearances (e.g. “substance is permanent,” “every event has a cause”).
- Experience emerges only when pure concepts of understanding are brought to empirical intuitions.
- Kant’s synthesis:
\text{Senses (intuition)} + \text{Understanding (concept)} \Rightarrow \text{Experience} - Because a transcendental system of pure concepts undergirds necessary judgments, pure natural science is possible.
Judgments of Perception vs. Judgments of Experience
- Judgments of Perception
- Merely link sensations via logic; subjective validity only.
- Do not yet qualify as experiences.
- Judgments of Experience
- Attain objective validity & necessity.
- Require application of pure concepts of understanding (categories).
- Become part of the shared, public domain of knowledge.
Logical Table of Judgments
- Kant parses every judgment into four headings—Quantity, Quality, Relation, Modality—each with three sub-types.
- Example “All men are mortal” = Universal / Affirmative / Hypothetical / Assertoric.
- This logical analysis grounds the discovery of the transcendental categories.
Transcendental Table of Pure Concepts of Understanding (Categories)
- Each logical function corresponds to an a-priori concept enabling objective experience:
- Quantity → Unity, Plurality, Totality
- Quality → Reality, Negation, Limitation
- Relation → Substance, Cause, Community
- Modality → Possibility, Existence, Necessity
- These categories transform subjective perceptions into objective experiences.
Pure Physiological Principles of Natural Science
- Four subclasses: Axioms of intuition, Anticipations of perception, Analogies of experience, Postulates of empirical thinking.
- They state the universal, necessary laws to which any natural science must conform.
- Mathematics works via space & time; Physics works via categories.
- Metaphysical objects, however, lie beyond possible experience; no intuition or category can supply them with objective reality.
- Pure reason nonetheless demands unity and pushes thought toward the unconditioned → spawning classical metaphysical topics (soul, world totality, God).
- Danger: we project ideas (regulative ideals) as if they were objects (constitutive realities) → illusions.
- Remedy: Reason must perform a critique of itself to mark proper boundaries.
Ideas of Pure Reason
1. Psychological Idea (Soul)
- “Substance” here is only an idea; the “I” is a representation/feeling that accompanies thoughts.
- We cannot legitimately infer a permanent, immortal soul because permanence cannot be given in inner sense.
2. Cosmological Idea (World-Whole)
- Concerned with sensible objects yet asks for unconditional totality; yields antinomies—pairs of equally rational yet contradictory propositions:
- World has a beginning vs. World is infinite.
- Everything composed of simples vs. No simples, only composites.
- Freedom causes events vs. All events are natural necessity.
- Necessary Being exists in the series vs. All is contingent.
- Root error: treating space & time (mere forms of representation) or part-whole relations as things-in-themselves.
3. Theological Idea (God)
- Idea of a most perfect primal Being that grounds possibility and actuality.
- Illusion arises from assuming the subjective conditions of thinking are also the objective conditions of being.
- Metaphysics is subjectively unavoidable—reason naturally asks such questions.
- To achieve scientific status we must:
- Separate Categories (understanding) from Ideas (reason).
- Clarify and respect the boundaries of each faculty.
Final Picture: Kant’s Three Faculties
- Sensibility: supplies pure intuitions (space & time) → makes raw data coherent.
- Understanding: supplies categories → renders data lawful (nature).
- Reason: supplies ideas → seeks unconditioned totality but must remain regulative.
- Key lesson: Noumenal reality is inaccessible; knowledge is limited to phenomena.
Practical, Ethical & Real-World Implications
- Science vs. Religion: Kant allows science full reign over phenomena, while assigning religion and morality to the domain of reason’s practical use (not covered fully here but implied by the boundary-drawing).
- Humility of knowledge: Recognizing limits curbs dogmatism and fanaticism in both science and theology.
- Moral autonomy (developed in later works): Once theoretical reason is limited, practical reason gains room to assert freedom, duty, and God as postulates of moral life.
- Prototype synthetic a priori formula: (7+5=12).
- Formal synthesis of experience: \text{Intuition}+\text{Category}=\text{Experience} (conceptual, not numerical).
Study Tips & Connections
- Relate Kant’s categories to earlier Aristotelian logic (Quantity, Quality, Relation, Modality).
- Contrast Hume’s empiricism (constant conjunction) with Kant’s necessary synthetic a priori.
- Observe Kant’s influence on modern debates over scientific realism, phenomenology, and analytic/continental divides.
- For ethics class: remember that delimiting theoretical reason opens the door to the primacy of the practical.
Bottom Line: Kant rescues necessity (mathematics & physics) by rooting it in the mind’s own structures—but, in doing so, he also shows why metaphysics can only be a critique of reason rather than a discovery of things-in-themselves.