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Ineliminable Minimal Projection Theory and the DICT Primitives of Description: Difference, Identity, Conditionality, Taking - Brossura

Kriger, Boris

 
9798172255885: Ineliminable Minimal Projection Theory and the DICT Primitives of Description: Difference, Identity, Conditionality, Taking

Sinossi

Every description is a projection. Physics describes the world in space and time, mathematics in number and structure, philosophy in existence and cause — and none of these media need belong to the thing described. What remains when every such medium is withheld?

This book answers with a small, provable structure. A single test — ineliminability: a primitive is ineliminable if its denial cannot be stated without using it — is applied to the resources any formal description must use. Exactly four pass: Difference, Identity, Conditionality, and Taking, the DICT primitives. The book proves that each is ineliminable, that none can be defined from the other three, that the usual further candidates (negation, existence, number, cause, the observer) are either derived or eliminable, and that the four form an indivisible whole. It then shows that logic, arithmetic, geometry, mereology, category theory, and first-order ontology are not rival foundations but different ways of paying for the same four — and that under the arithmetic payment the four generate exactly the rational numbers, with zero structurally prior to one.

The theory does not describe the substrate it is named for. It locates, from two sides, the only place where the substrate can be referred to without error, and it prices every step away from that place. From this comes a method, DICT analysis: inventory what a concept has been paid for, subtract, state the residue, then re-admit each medium as a declared cost. Appendices apply the method, under strict epistemic labelling, to the universe, vacuum, energy, gravity, matter, entropy, information, black holes, infinity, consciousness, money, death, God — and, as a test of scale-freedom, sour cream — and trace its affinities with Descartes, Spinoza, Leibniz, Kant, Pascal, Seneca, and Palamas.

Minimal in assumptions, the theory has nowhere to be wrong except in its count; and the count is proved.

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