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Pregeometry, and in full
combinatorial pregeometry, are
essentially synonyms for "matroid". They were
introduced by Gian-Carlo Rota with the intention...
- In physics, a
pregeometry is a
hypothetical structure from
which the
geometry of the
universe develops. Some
cosmological models feature a pregeometric...
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mathematics and physics,
pregeometry has
several meanings:
Pregeometry (model theory),
another name for a
matroid Pregeometry (physics), a
structure from...
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simplest infinite generalization is
finitary matroids, also
known as
pregeometries. A
matroid with
possibly infinite ground set is
finitary if it has the...
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order is
represented in the form of an
appropriate algebra or
other pregeometry. They
considered spacetime itself as part of an
explicate order that...
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Indiscernibles Interpretation (model theory) /
Interpretable structure Pregeometry (model theory)
Quantifier elimination Reduct Signature (logic) Skolem...
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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...
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independence in
field extensions both form
examples of
finitary matroids (
pregeometries). Any
finitary matroid has a basis, and all
bases have the same cardinality...
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Nielsen is a
member of the
Norwegian Academy of
Science and Letters.
Pregeometry (physics) H. B. Nielsen, "An
almost physical interpretation of the dual...
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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...