Tag Archives: Hypostatic Abstraction

Survey of Precursors Of Category Theory • 1

A few years ago I began a sketch on the Precursors of Category Theory, aiming to trace the continuities of the category concept from Aristotle, to Kant and Peirce, through Hilbert and Ackermann, to contemporary mathematical practice. This post is … Continue reading

Posted in Abstraction, Ackermann, Analogy, Aristotle, Carnap, Category Theory, Diagrammatic Reasoning, Diagrams, Dyadic Relations, Equational Inference, Form, Foundations of Mathematics, Functional Logic, Hilbert, History of Mathematics, Hypostatic Abstraction, Iconicity, Kant, Logic, Mathematics, Mental Models, Peirce, Propositions As Types Analogy, Saunders Mac Lane, Surveys, Triadic Relations, Type Theory, Universals, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Hypostatic Abstraction

Hypostatic Abstraction (HA) is a formal operation on a subject–predicate form that preserves its information while introducing a new subject and upping the “arity” of its predicate. To cite a notorious example, HA turns “Opium is drowsifying” into “Opium has dormitive virtue”. Continue reading

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