Prior and Posterior Analytics
Aristotle's major logical works — the systematic theory of syllogism and demonstrative science
Tradition: Classical Greek philosophy / Aristotelian logic
The systematic theory of syllogism (Prior) and demonstrative science (Posterior) — Aristotle's major logical works at the heart of the Organon
The Prior Analytics and Posterior Analytics are Aristotle's major logical works, at the core of the Organon (after the Categories and On Interpretation, before the Topics and Sophistical Refutations). The Prior Analytics develops the systematic theory of the syllogism — the basic form of valid deductive argument, classified by mood and figure. The Posterior Analytics develops the theory of demonstrative science: the structure of scientific knowledge as syllogistic derivation from first principles, the requirements for proper demonstration (starting from premises that are necessary, true, and prior to and explanatory of the conclusion), the nature of induction and definition. The works founded Western logic and philosophy of science. The Prior Analytics remained the standard text of Western logic until Frege's nineteenth-century mathematical logic; the Posterior Analytics remains a major reference in philosophy of science.
Author
Editions cited
- Prior Analytics (Robin Smith, Hackett, 1989)
- Posterior Analytics (Jonathan Barnes, Clarendon, 2nd ed. 1994)
- The Complete Works of Aristotle (Jonathan Barnes, Princeton, 1984)
School Embodiments
The Analytics found Western logic and analytic philosophy of science. Frege, Russell, the broader analytic tradition develop from Aristotelian foundations.
"Aristotelian syllogistic as the foundation of Western logic." (Analytics, paraphrasing)
Aristotle's confidence in the demonstrative-deductive structure of scientific knowledge is paradigmatically rationalist.
"Demonstrative-deductive structure of scientific knowledge." (Posterior Analytics, paraphrasing)
A working metaphysical realism: real essences, real necessary relations, real scientific knowledge of demonstrable truths.
"Demonstration from necessary and explanatory premises." (Posterior Analytics, paraphrasing)
Medieval Catholic scholasticism develops directly from the Analytics. Aquinas's science is paradigmatically Aristotelian-demonstrative.
"Aquinas's Aristotelian-demonstrative science." (Analytics, paraphrasing the medieval reception)
Falsafa develops from the Aristotelian logical tradition. Avicenna and Averroes wrote substantial commentaries on the Analytics.
"Falsafa engaging the Analytics." (paraphrasing)
The Analytics presuppose the hylomorphic-substantialist metaphysics of the Categories and Metaphysics.
"Hylomorphic metaphysics presupposed in the logical analysis." (Analytics, paraphrasing)
A complicated relation: subsequent pragmatic-realist philosophy of science engages Aristotelian demonstration critically (Dewey, the broader pragmatist tradition).
"Pragmatist engagement with Aristotelian science." (Analytics, paraphrasing)
A complicated relation: Aristotle's demonstrative science engages and modifies Plato's dialectical method.
"Aristotelian demonstration as modification of Platonic dialectic." (Analytics, paraphrasing)
Internal Tensions
The Analytics' theory of demonstration has been sharply critiqued in modern philosophy of science (Hume on induction, Kant on the synthetic a priori, Popper's falsificationism, Quine's web of belief). Recent rehabilitations of Aristotelian science (Nussbaum, Lear, Charles) have engaged the Analytics constructively. The relation between the Prior and Posterior — formal logic vs philosophy of science — is itself a continuing interpretive theme.
I. Time
The atemporal structure of logical demonstration; the temporal process of scientific inquiry.
Attributes
II. Space
Pre-modern Aristotelian-Ptolemaic spatial framework; the cognitive space of logical-scientific demonstration.
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III. Matter
Concrete particulars as the objects of demonstrative knowledge.
Attributes
IV. Observer
The scientific knower as the rational demonstrator — plural, embodied, capable of demonstrative knowledge.
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V. Energy
Implicit in the natural-philosophical background.
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VI. Information
Demonstrated scientific knowledge preserved through the deductive structure of demonstration.
Attributes
Personas that cite this work
Personas with the nearest attribute fingerprint
Historical figures whose own classification on the same six-dimensional grid lands closest to this work's. Computed by attribute-agreement on coordinates both address.
Computed school proximity
The work's attribute fingerprint scored against all schools using the same quiz scorer. Useful as a sanity check on the hand-curated embodiments above.
How Prior and Posterior Analytics resolves each dilemma
51 resolved positions across 4 dimensions, including 3 distinctive where the majority of schools go the other way · 6 unaligned.
Each dimension is sorted so minority positions come first. Mainstream positions are folded into an expandable list.
Time · 9 dilemmas, all mainstream
Matter · 7 dilemmas, all mainstream
Observer · 37 dilemmas · 3 distinctive
Mind, agency, and the knower's relation to the known.