Law &amp; Geometry: Legal Science from Leibniz to Langdell

Hoeflich, Michael H.

doi:10.2307/845705

Cited by 49 publications

(6 citation statements)

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“…Even Christopher Columbus Langdell's notion of law as a rational science, embodied in his empirical case-method approach that launched modern legal education in the United States, envisioned deductive methods being applied once predicates were established empirically. [12] These prior borrowings of course had little to do with any geometry of the substance of legal reasoning. Nor does the model presented here share any philosophical commitments with the above tradition.…”

Section: The Uses Of Geometrymentioning

confidence: 98%

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Lauritsen¹

2013

Proceedings of the Fourteenth International Conference on Artificial Intelligence and Law

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In the course of legal reasoning -whether for purposes of deciding an issue, justifying a decision, predicting how an issue will be decided, or arguing for how it should be decided -one often is required to reach (and assert) conclusions based on a balance of reasons that is not straightforwardly reducible to the application of rules. Recent AI & Law work has modeled reason-balancing, both within and across cases, with settheoretic and rule-or value-ordering approaches. This article explores how modeling it in 'choiceboxing' terms may yield new questions, insights, and tools.

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Section: The Uses Of Geometrymentioning

confidence: 98%

On balance

Lauritsen¹

2013

Proceedings of the Fourteenth International Conference on Artificial Intelligence and Law

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“…Zde vycházel zejména ze studia římského práva, když pozoroval schopnost římských právníků logicky argumentovat a zobecňovat, což bylo v jistém rozporu s praxí, kterou kolem sebe sledoval. 47 V dnešní době je tento způsob myšlení pro právo typický, je však třeba připomenout, že z hlediska tehdejšího práva se jednalo vcelku o přelomový způsob uvažování o právu. Leibnizova aplikace přirozenoprávních zásad more geometrico a jeho snaha o reformu římského (soukromého) práva bývají označovány za první pokusy o překonání fragmentarizovaného práva.…”

Section: Racionalistické Myšlení a Pokusy O Axiomatizaci Právaunclassified

Koncepce systematiky práva předcházející právnímu pozitivismu 19. století

Ondřejek¹

2020

Právněhistorické Studie

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Current legal order can be characterized by the fact that we conceive law as a system. This is so despite various elements of fragmentation of law and the problems connected with concurrent application of rules originating from different legal systems. The aim of this article is to defend a thesis that different views of law and various conceptions of systematicity represent one of major differences between the historical and contemporary conceptions of law. At the same time, in the article congruent and different features of systematicity of law are addressed, namely in the period preceding codification of law in civil law legal systems, before legal positivism became the dominant legal method in the 19th century.

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“…Scholars as early as Gottfried Leibniz (1646-1716) have advocated using a "geometric paradigm" in legal reasoning, though the form and meaning of this has evolved over time [Hoe86]. The approach of Western legal systems in the 17th and 18th centuries was primarily inductive: each case was considered individually according to the facts and then general rules were extrapolated from the deliberations in the case.…”

Section: Is Law Like Euclidean Geometry?mentioning

confidence: 99%

Geometry in the Courtroom

Giansiracusa

Ricciardi

2018

The American Mathematical Monthly

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There has been a recent media blitz on a cohort of mathematicians valiantly working to fix America's democratic system by combatting gerrymandering with geometry. While statistics commonly features in the courtroom (forensics, DNA analysis, etc.), the gerrymandering news raises a natural question: in what other ways has pure math, specifically geometry and topology, been involved in court cases and legal scholarship? In this survey article, we collect a few examples with topics ranging from the Pythagorean formula to the Ham Sandwich Theorem, and we discuss some jurists' perspectives on geometric reasoning in the legal realm. One of our goals is to provide math educators with engaging real-world instances of some abstract geometric concepts.

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Law & Geometry: Legal Science from Leibniz to Langdell

Cited by 49 publications

References 0 publications

On balance

On balance

Koncepce systematiky práva předcházející právnímu pozitivismu 19. století

Geometry in the Courtroom

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