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PREGEOMETRY

Pregeometry (model theory)

Formulation of matroids using closure operators

Pregeometry, and in full combinatorial pregeometry, are essentially synonyms for "matroid". They were introduced by Gian-Carlo Rota with the intention

Pregeometry (model theory)

Pregeometry_(model_theory)

Pregeometry (physics)

Structure from which the geometry of the universe arises

In physics, a pregeometry is a hypothetical structure from which the geometry of the universe develops. Some cosmological models feature a pregeometric

Pregeometry (physics)

Pregeometry_(physics)

Pregeometry

Topics referred to by the same term

mathematics and physics, pregeometry has several meanings: Pregeometry (model theory), another name for a matroid Pregeometry (physics), a structure from

Pregeometry

Matroid

Abstraction of linear independence of vectors

simplest infinite generalization is finitary matroids, also known as pregeometries. A matroid with possibly infinite ground set is finitary if it has the

Matroid

Schanuel's conjecture

Major unsolved problem in transcendental number theory

mathematics Existential Closedness conjecture Zilber–Pink conjecture Pregeometry Lang, Serge (1966). Introduction to Transcendental Numbers. Addison–Wesley

Schanuel's conjecture

Schanuel's_conjecture

Strongly minimal theory

Concept from mathematical logic

algebraic closure in the model-theoretic sense, is an infinite matroid, or pregeometry. A model of a strongly minimal theory is determined up to isomorphism

Strongly minimal theory

Strongly_minimal_theory

Implicate and explicate order

Ontological concepts for quantum theory

order is represented in the form of an appropriate algebra or other pregeometry. They considered spacetime itself as part of an explicate order that

Implicate and explicate order

Implicate_and_explicate_order

Holger Bech Nielsen

Danish physicist (born 1941)

Nielsen is a member of the Norwegian Academy of Science and Letters. Pregeometry (physics) H. B. Nielsen, "An almost physical interpretation of the dual

Holger Bech Nielsen

Holger_Bech_Nielsen

Stable theory

Concerned with the notion of stability in model theory

property is that it is more clearly set-theoretically absolute. The term "pregeometry" is often used instead of "matroid" in this setting. The term "classification

Stable theory

Stable_theory

List of mathematical logic topics

Indiscernibles Interpretation (model theory) / Interpretable structure Pregeometry (model theory) Quantifier elimination Reduct Signature (logic) Skolem

List of mathematical logic topics

List_of_mathematical_logic_topics

Basil Hiley

British quantum physicist (1935–2025)

particular, Wheeler had proposed a notion of pre-space which he called pregeometry, from which spacetime geometry should emerge as a limiting case. Bohm

Basil Hiley

Basil_Hiley

Dean Rickles

British academic

Parry (Bloomsbury 2025) Quantum Gravity and Computation: Information, Pregeometry, and Digital Physics, co-edited with Xerxes D. Arsiwalla and Hatem Elshatlawy

Dean Rickles

Dean_Rickles

Rolling ball argument

Argument in geometry of surfaces

foam and inflate it to a useful size. Fractals Wormholes John Wheeler Pregeometry "FOLLOW-UP: What exactly is a 'wormhole'? Have wormholes been proven

Rolling ball argument

Rolling_ball_argument

Transcendental extension

Field extension that is not algebraic

independence in field extensions both form examples of finitary matroids (pregeometries). Any finitary matroid has a basis, and all bases have the same cardinality

Transcendental extension

Transcendental_extension

Index of physics articles (P)

Predictability Predrag Cvitanović Preferential concentration Preferred frame Pregeometry (physics) Premelting Preon Preon star Present Presentism (philosophy

Index of physics articles (P)

Index_of_physics_articles_(P)