The Commentary of David Kimhi on Isaiah

Finkelstein, Louis

doi:10.31826/9781463213121

Cited by 2 publications

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“…The category A of acyclic directed sets embeds into D as a full subcategory. 27 Like acyclic directed sets, directed sets may also be understood in graph-theoretic terms, as small, simple, directed graphs. Note that the definition of a simple directed graph allows for the coexistence of "reciprocal edges" x ≺ y and y ≺ x, but prohibits multiple edges between x and y in the same direction.…”

Section: Acyclic Directed Sets; Directed Sets; Multidirected Setsmentioning

confidence: 99%

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On the Axioms of Causal Set Theory

Dribus

2013

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Causal set theory is a promising attempt to model fundamental spacetime structure in a discrete order-theoretic context via sets equipped with special binary relations, called causal sets. The elements of a causal set are taken to represent spacetime events, while its binary relation is taken to encode causal relations between pairs of events. Causal set theory was introduced in 1987 by Bombelli, Lee, Meyer, and Sorkin, motivated by results of Hawking and Malament relating the causal, conformal, and metric structures of relativistic spacetime, together with earlier work on discrete causal theory by Finkelstein, Myrheim, and 't Hooft. Sorkin has coined the phrase, "order plus number equals geometry," to summarize the causal set viewpoint regarding the roles of causal structure and discreteness in the emergence of spacetime geometry. This phrase represents a specific version of what I refer to as the causal metric hypothesis, which is the idea that the properties of the physical universe, and in particular, the metric properties of classical spacetime, arise from causal structure at the fundamental scale.Causal set theory may be expressed in terms of six axioms: the binary axiom, the measure axiom, countability, transitivity, interval finiteness, and irreflexivity. The first three axioms, which fix the physical interpretation of a causal set, and restrict its "size," appear in the literature either implicitly, or as part of the preliminary definition of a causal set. The last three axioms, which encode the essential mathematical structure of a causal set, appear in the literature as the irreflexive formulation of causal set theory. Together, these axioms represent a straightforward adaptation of familiar notions of causality to the discrete order-theoretic context. Interval finiteness is often called local finiteness in the literature, an unfortunate misnomer.

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Section: Acyclic Directed Sets; Directed Sets; Multidirected Setsmentioning

confidence: 99%

“…I say "were," rather than "are," because Finkelstein suggested to me, via private communication[27], that his views on the topic have changed considerably since 1988.…”

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On the Axioms of Causal Set Theory

Dribus

2013

Preprint

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A Hebrew Letter on Papyrus and Its Contexts: Oxford MS Heb.d.69(P)

Gvaryahu

2022

J. Econ. Soc. Hist. Orient

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This article is a new reading of a Hebrew letter, Oxford MS Heb.d.69(P), written on papyrus and dated tentatively by scholars to the 6th century. The article begins with a new edition of the letter, first published in 1903, its first translation into English, a discussion of its language and epistolary conventions, including layout, script, and formulary. In the letter, written by the scribe Isi, the lender Lazar describes to Jacob the borrower the history of their contract, and the former’s attempts to collect, and demands payment. I discuss the currency mentioned in this description, the terms of the loan, and the rate of interest it reflects. The article ends with a discussion of the broader usefulness of this letter for the economic and social history of Jewish provincials in Byzantine Egypt.

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The Commentary of David Kimhi on Isaiah

Cited by 2 publications

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On the Axioms of Causal Set Theory

On the Axioms of Causal Set Theory

A Hebrew Letter on Papyrus and Its Contexts: Oxford MS Heb.d.69(P)

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