Clelia Crialesi | Centre National de la Recherche Scientifique / French National Centre for Scientific Research (original) (raw)

Papers by Clelia Crialesi

British Journal for the History of Philosophy, 2024

This paper presents a taxonomy of divisibilism, a philosophical perspective advocating for the in... more This paper presents a taxonomy of divisibilism, a philosophical perspective advocating for the infinite divisibility of continua. The taxonomy is founded on various conceptualizations of indivisibles, enabling the identification of two types of divisibilism: ‘moderate’ and ‘strong’. The former denies indivisibles as constituent parts of magnitudes, whereas the latter rejects indivisibles as even intrinsic elements (such as limits or junctions) of magnitudes. The paper proceeds to demonstrate how Gregory of Rimini falls into the second category, utilizing geometry and non-entitism as primary tools to dismiss the very possibility of the existence of indivisibles. Within the framework of this ‘strong divisibilism’, the paper also examines Gregory’s interpretation of mathematical items (e.g. points, lines, surfaces) against the backdrop of one of his main sources, that is, Augustine. Lastly, the paper delves into Gregory’s interpretation of the fundamental Aristotelian divisibilist claim, namely, that a continuum is infinitely divisible. It highlights how Gregory’s stance ultimately conflicts with Aristotelian premises, particularly concerning his assertion that the division of all continua is made into infinitely many actual parts.

Recherches de théologie et philosophie médiévales 90/2 (2023)

This article explores the use of Euclidean geometry in the medieval continuum debate, with afocu... more This article explores the use of Euclidean geometry in the medieval continuum debate, with afocus on Albert the Great and Roger Bacon. It examines how their differing accounts of mathematics shape their application of geometrical proofs to refute indivisibilism, i.e, the belief in indivisible constituents in the physical world. Albert asserts that abstracted quantity is "imaginable" and is as such the object of mathematical knowledge. Bacon, by contrast, contends that mathematical knowledge of abstracted quantity is always associated with material instances. This distinction highlights their varied approches to employing geometry in discussions of indivisibilism: Albert's proof relies on "imaginative reasoning", while Bacon's proof straddles the boundary between mathematics and physics.

with R. Saccenti, in L. Castaldi (ed.), Mediaeval Latin Texts and their Transmission (TE.TRA. 8).

in D. Poirel (éd.), La raison au Moyen Âge, Paris: Vrin 2023, 77-96.

Revista Española de Filosofía Medieval, 2023

This article deals with Robert Grosseteste's account of 'spatial differences', such as 'up', 'dow... more This article deals with Robert Grosseteste's account of 'spatial differences', such as 'up', 'down', 'right', 'left', 'before', and 'behind'. More specifically, attention is focused on Grosseteste's De differentiis localibus, which is a concise scientific treatise arguing for the objectiveness of the differences of place pertaining to all living bodies, including heavenly ones. The article has a twofold goal: to present the contents of such an understudied opuscule, and to check if there is some compelling reliance on any of the Latin versions of Aristotle's On the Heavens. Such an analysis reveals that Grosseteste's reading of Aristotle's On the Heavens is angled by Averroes' Long Commentary on the Physics, on which Grosseteste relies as well to build his conception of mathematical and natural differences.

Revista Española de Filosofía Medieval, 2022

This article deals with the first Latin reception of Pseudo-Aristotle’s On Indivisible ... more This article deals with the first Latin reception of Pseudo-Aristotle’s On Indivisible Lines and its impact on the medieval debate about the continuum. Robert Grosseteste’s and Albert the Great’s references to this pseudo-Aristotelian text show that it could be regarded as a source for where to find information about the indivisibilist tenet, as well as an expansion of Aristotle’s anti-atomistic critiques scattered throughout his authentic works. The use of On Indivisible Lines made by Henry of Harclay and Adam of Wodeham confirms this trend: the reading of this text could be twofold according to the tenet defended. While Henry argues against Pseudo-Aristotle to defend indivisibilism, Adam expands on pseudo-Aristotelian arguments to show the incongruities implied by indivisibilism.

Journal of Medieval Latin , 2021

The article deals with the early medieval reception of Boethius’s De arithmetica by offering a cr... more The article deals with the early medieval reception of Boethius’s De arithmetica by offering a critical edition of one hitherto unpublished text, i.e. the Excerptiuncula, which is a short introduction to Boethius’s mathematical work written by an anonymous master, presumably at the end of the tenth century. The edited text is a summary of the first book of the De arithmetica and is intended for a rudimentary teaching level. Elementary as this text is, the Excerptiuncula is revealing of the intellectual milieu of the Carolingian and Ottonian schools in Europe, demonstrating circulation on both sides of the Alps. More specifically, the summary contributes to clarify how arithmetic was taught in Tegernsee and Montecassino. In the eleventh century, the Excerptiuncula was used by two renown Carolingian scholars, i.e. Froumund of Tegernsee and Lawrence of Amalfi. Together with Montecassino, Archivio dell’Abbazia, MS 189, which preserves Boethius’s De arithmetica, the Excerptiuncula is at present the only known witness of the interest in Boethian number theory at Montecassino during the Desiderian age.

The paper investigates the epistemology of mathematics in Boethius and is divided into four secti... more The paper investigates the epistemology of mathematics in Boethius and is divided into four sections. In the first two sections, I show the coexistence of two philosophical models in the context of Boethius’ mathematics, namely the Alexandrian and the Neopythagorean. In the third section, I focus on a text which has not been considered by the specialists of Boethian mathematics: the Second Commentary on the Isagoge, in which a peculiar conception of the arithmetic reckoning is exhibited. Finally, I argue that this characteristic conception of reckoned number stems from Boethius’ interpretation of Aristotle’s Sophistical Refutations 165a7-15.

order online : http://www.sismel.it/tidetails.asp?hdntiid=1692

Table of contents G. Catapano-O. Grassi, Prefazione. A. Scafi, Natura perfetta nell'Eden: un'utop... more Table of contents
G. Catapano-O. Grassi, Prefazione. A. Scafi, Natura perfetta nell'Eden: un'utopia medievale-E. Moro, Rappresentazioni della natura nel De Genesi ad litteram di Agostino-C. V. Crialesi, Un approccio matematizzante nell'analisi della realtà naturale: l'Explanatio in Calculo Victorii di Abbone di Fleury-P. Carusi, natura, nature. Mizag, trasmutazione alchemica e filosofia aristotelica-V. Russo, L'espressione dell'anima e la parola del corpo: su alcuni significati del tópos di matrice naturalistica nella lirica cortese-F. Amerini, Limiti e significato di «natura»: Tommaso d'Aquino lettore di Aristotele-A. Porcarelli, La rappresentazione della natura umana «sulla linea di orizzonte» in Tommaso d'Aquino e i suoi riflessi nel personalismo pedagogico del XX secolo-R. Saccenti, «Impressio legis aeternae». La legge naturale nel trattato De legibus di Giovanni de La Rochelle-G. Rossi, «Iurisconsultus principia iuris […] trahit a principiis naturae»: la riflessione sulla natura in Alberico da Rosate e Baldo degli Ubaldi-P. Dessì, I madrigali di Bartolino da Padova: lessico naturalistico e livelli di significazione-A. Lovato, La «plenitudo vocis» articolata e letterata nella musica armonica di Marchetto da Padova-F. Zanin, Forme artificiali e separabilità degli accidenti. Il dibattito su natura ed arte a Parigi alla metà del XIV secolo-C. Beneduce, La fisiologia del tatto nel XIV secolo: il caso di Giovanni Buridano-Z. Murat, Rappresentare la «Natura Incorrotta»: casse reliquiario e corpi santi a Venezia fra XIII e XIV secolo-C. Ponchia-F. Toniolo, Dal margine al centro: raffigurazioni di natura nei manoscritti miniati tra XIII e XIV secolo-I. Ventura, Scienza della natura e farmacologia accademica tra XIII e XIV secolo: un progetto di lavoro-X. Barral i Altet, La terra, l'acqua e i loro abitanti: a proposito della rappresentazione della natura nell'arte monumentale romanica-R. Simonetti, «Ipso ex naturae gremio». La natura come modello nel pensiero e nella pratica architettonica di Leon Battista Alberti-A. Paravicini Bagliani, Conclusioni. Indici.

Medioevo, 2016

This paper focuses on the exegetical proposal of the Tractatus de sex dierum operibus by Thierry ... more This paper focuses on the exegetical proposal of the Tractatus de sex dierum operibus by Thierry of Chartres and it is tasked with analyzing the twofold interpretative framework adopted by the Cancelor: first, the accordance betweenthe narration of Genesis and the heuristic models of physical and cosmological causality; second, the mathematical theology, which revises the work of creation according to an arithmological approach. The study is divided into two parts which follow the structure of the Tractatus. In the first part, I analyse the physical plausibility of Christian cosmogony and subsequently the conception of matter with regard to both William of Conches’ inordinatum and the hermetic locus mundi. In the second part, I examine how the numerical discourse interprets the creatural unfolding and dependence on God, as well as the creation per verbum and the individuality of each created being. My purpose is threefold: first, to test the inner philosophical coherence of the Tractatus; second, to interpret specific theoretical points at the light of Thierry’s commentaries on Boethius’ De Trinitate, and finally, to relate the arithmetical issues of the Tractatus to Thierry's Commentum super Arithmeticam Boethii.

Fogli di Filosofia, 2016

The present paper is tasked with analyzing the second part of Plato’s Parmenides by focusing on s... more The present paper is tasked with analyzing the second part of Plato’s Parmenides by focusing on some mathematical issues debated within the eight deductions of the two hypoteses. Aiming at extending the sense of “gymnastic”, three main topics are here addressed. First, the correspondence between the gymnasia in Plato’s Parmenides and the gymnazein en mathemasi pollois in Plato’s Republic. Second, understanding part of the mathematical background of the deductions conducted by the Eleatic philosopher. Third, examining the antanairetic example of “yunger-older”. For the purpose of identifying the link between the dialogues, it must be recognized that in both of them the discursive thought of mathematics presents the same threefold goal: it tends to the eidetic sphere; it performs a preparatory function with regard to philosophy; it is able to improve logical skills. Then, geometric figure, contact and generation of numbers are considered in order to shed light on how mathematical thought is developed in the Parmenides. Finally, the ratio of logistike, as it is provided in the Republic, is applied to the subject of the hypoteses – the one – which is said to become simultaneously older and younger with respect to itself.

Workshops & Conferences by Clelia Crialesi

The Aristoteles Latinus project has a long history that goes back nearly a century. The project w... more The Aristoteles Latinus project has a long history that goes back nearly a century. The project was founded in 1930 by the Union Académique Internationale (UAI), at a time when several scholars expressed their interest in and recognized the importance of the Latin translations of Aristotle in the Middle Ages. Soon, the founders realized that there was a lot of work ahead of them: first, all preserved manuscripts with Latin Aristotelian texts needed to be inventoried and described, and second, all translations needed to be critically edited. These Latin translations cover a period of roughly 800 years, starting with Boethius’ translations and ending with the so- called Translatio Durandi of the Oeconomica in 1295, but the majority of the translations are from the 12th and 13th century.
When Lorenzo Minio-Paluello left as director of Aristoteles Latinus in 1973, it was decided to move the seat of the project from Oxford to Leuven, where it has been ever since. Over the years, the project has been in the hands of several Leuven scholars, such as Gérard Verbeke, Fernand Bossier, Jozef Brams, Carlos Steel, Pieter De Leemans and Lisa Devriese. Although the project is housed in Leuven, more specifically at the De Wulf-Mansion Centre for Ancient, Medieval and Renaissance Philosophy (Institute of Philosophy, KU Leuven), the editions are prepared by an international team of researchers.
In 2023, it is exactly 50 years that the project will be in Leuven, a milestone that we cannot let go unnoticed. The Congress will celebrate this important occasion by bringing together current editors of Aristoteles Latinustexts, as well as researchers who are closely connected to the project.

Conference organized by C. Crialesi (KU Leuven), C. Hofstetter (SAPRAT-EPHE), and M. Sorokina (IR... more Conference organized by C. Crialesi (KU Leuven), C. Hofstetter (SAPRAT-EPHE), and M. Sorokina (IRHT-CNRS)
@EPHE, Sorbonne
28-29 June 2023

Convegno interdisciplinare @ Centro di Studi Forme del Sapere nel Mondo Antico, Università di Rom... more Convegno interdisciplinare @ Centro di Studi Forme del Sapere nel Mondo Antico, Università di Roma Tor Vergata

Fourth PreMaT meeting, dedicated to the 16th-century philosophy and mathematics. Papers by Stephe... more Fourth PreMaT meeting, dedicated to the 16th-century philosophy and mathematics. Papers by Stephen Clucas, Vincenzo De Risi, and André Goddu.

Third PreMaT meeting, dedicated to the 15th-century philosophy and mathematics. Papers by Daniel ... more Third PreMaT meeting, dedicated to the 15th-century philosophy and mathematics. Papers by Daniel Di Liscia, Sylvain Roudaut, and Joël Biard.

The KU Leuven Colloquia in Medieval Philosophy is a hybrid forum that aims to foster networking a... more The KU Leuven Colloquia in Medieval Philosophy is a hybrid forum that aims to foster networking and collaboration especially among early-career scholars in medieval philosophy.
The seminar meets once a month, in a hybrid format (on Zoom as well as in person at KU Leuven) to discuss a pre-read paper, in any area of medieval thought (roughly in the time period between 500–1700, East or West). Presenters give a brief, 10-minute summary, usually supplying the readers with some context of the paper, after which we devote the remaining time to discussion and general feedback. We welcome works in progress at every stage of their completion.

Second PreMaT meeting, dedicated to the 14th-century philosophy and mathematics. Papers by Elzbie... more Second PreMaT meeting, dedicated to the 14th-century philosophy and mathematics. Papers by Elzbieta Jung, Robert Podkonski, Clelia Crialesi, and Aurélien Robert.

The first PreMaT meeting is dedicated to 13th-century philosophy and mathematics. Papers by Paol... more The first PreMaT meeting is dedicated to 13th-century philosophy and mathematics.
Papers by Paolo Mancosu, Sabine Rommevaux, and Cecilia Trifogli.

British Journal for the History of Philosophy, 2024

Recherches de théologie et philosophie médiévales 90/2 (2023)

with R. Saccenti, in L. Castaldi (ed.), Mediaeval Latin Texts and their Transmission (TE.TRA. 8).

in D. Poirel (éd.), La raison au Moyen Âge, Paris: Vrin 2023, 77-96.

Revista Española de Filosofía Medieval, 2023

Revista Española de Filosofía Medieval, 2022

Journal of Medieval Latin , 2021

order online : http://www.sismel.it/tidetails.asp?hdntiid=1692

Medioevo, 2016

Fogli di Filosofia, 2016

A series of online workshops organized by Clelia Crialesi

Panel Organized @ SIEPM 15th International Congress 2022, Paris

LMS Interdisciplinary Research Seminar – Pontifical Institute of Mediaeval Studies

Two- day Conference, Università degli Studi di Roma "Tor Vergata" Project PHISU. Sustainability.... more Two- day Conference, Università degli Studi di Roma "Tor Vergata"

Project PHISU. Sustainability. Which Philosophy?

Britain's Early Philosophers – A two day workshop at Durham University. Who were Britain’s earli... more Britain's Early Philosophers – A two day workshop at Durham University.

Who were Britain’s earliest philosophers? What were Alcuin of York’s contributions to philosophy? To what extent can we consider thinkers such as Hild, Bede, Cuthbert, Gildas, and Cædmon philosophers? How did philosophy reach Britain? Who was reading it, who was writing it, who was teaching it, who was learning it? In this seminal exploratory workshop, we will be considering these questions as well as other questions such as: What counts as philosophy in the early medieval British period? What are the boundary/ies between philosophy and theology? Is there a specifically/uniquely early British philosophical tradition? Just who was reading Alfred’s translation of Boethius?

The second of four sessions exploring Durham, Cathedral Library, MS Hunter 100: a scientific comp... more The second of four sessions exploring Durham, Cathedral Library, MS Hunter 100: a scientific compendium of the early 12th century. From codicology to art history, historical networks, and the local circumstances of the manuscript to computistcal analysis and the context of monastic learning. This session is concerned with the scientific and historical content of the manuscript, their relation to each other and the wider implications for the intellectual context of the compilation.

by Centro CIRFIM Unipd, Alessandro Scafi, Giovanni Catapano, Enrico Moro, Clelia Crialesi, Nicola Polloni, Luca M Bianchi, Riccardo Saccenti, Paola Dessì, Zuleika Murat, and Iolanda Ventura

A Conference on the Images of Nature in the Middle Ages. Scopo del Convegno è evidenziare con un ... more A Conference on the Images of Nature in the Middle Ages.
Scopo del Convegno è evidenziare con un approccio multidisciplinare e interdisciplinare come le rappresentazioni della natura si trasformino, nei contenuti e nei modi, fra il V e il XV secolo. Accanto alle rappresentazioni concettuali, proprie delle discipline teoretiche, sarà dato ampio spazio alle rappresentazioni figurative, letterarie e musicali. Non solo concezioni e teorie della natura, dunque, ma anche immagini, simboli, suoni che nel Medioevo riproducono, evocano o fingono mondi naturali. Rispetto agli studi già esistenti sull’argomento, il Convegno si propone di suggerire letture innovative che possano mettere in discussione i paradigmi storico-critici vigenti e le nozioni date per acquisite, contribuendo così a reimpostare l’intera questione in una nuova ottica, capace di superare le tradizionali frontiere disciplinari.

Review of 'Plato latinus. Aspects de la transmission de Platon dans l'Antiquité, eds. Guillaumin – Lévy', in «Revista Espanola de Filosofía Medieval» 27 (2020), pp. 163-166., 2020

(eds.), Plato latinus. Aspects de la transmission de Platon dans l'Antiquité, Philosophie helléni... more (eds.), Plato latinus. Aspects de la transmission de Platon dans l'Antiquité, Philosophie hellénistique et romaine 8, Turnhout, Brepols, 2018, 339 pp., ISBN: 9782503577890. Cloth: €95 Reseñado por CLELIA CRIALESI Pontifical Institute of Mediaeval Studies, Toronto, CA crialesi@lettere.uniroma2.it

The volume consists of ten chapters and is the result of the sixth Diatribai meeting, organised by Thomas Bénatouïl, held in 2011 in Gargnano (Italy). This international conference and its proceedings are dedicated to the so-called Plato latinus, i.e. to the reception of Platonism in the Latin West area, from Cicero's to Boethius' time.

Titolo del volume: Interpretazioni filosofiche dell’Esamerone nella letteratura medievale / Philo... more Titolo del volume: Interpretazioni filosofiche dell’Esamerone nella letteratura medievale / Philosophical Interpretations of the Hexaëmeron in Medieval Literature, a cura di / edited by Giovanni Catapano, Fabio Zanin.
Articoli di: Enrico Moro, Adriana Farenga, Clelia Vittoria Crialesi, Matteo Scozia, Antonio Petagine, Giovanni Catapano, Giorgio Graffi & Stefano Pagliaroli, Andrea Fiamma.

by Giovanni Catapano, Enrico Moro, Clelia Crialesi, Andrea Porcarelli, Giovanni Rossi, Paola Dessì, Zuleika Murat, Chiara Ponchia, Iolanda Ventura, Remy Simonetti, and Agostino Paravicini Bagliani

Scopo del volume è evidenziare con un approccio multidisciplinare e interdisciplinare come le ra... more Scopo del volume è evidenziare con un approccio multidisciplinare e interdisciplinare come le rappresentazioni della natura si trasformino, nei contenuti e nei modi, fra il V e il XV secolo. Accanto alle rappresentazioni concettuali, proprie delle discipline teoretiche, viene dato ampio spazio alle rappresentazioni figurative, letterarie e musicali. Non solo concezioni e teorie della natura, dunque, ma anche immagini, simboli, suoni che nel Medioevo riproducono, evocano o fingono mondi naturali. Rispetto agli studi già esistenti sull’argomento, il volume si propone di suggerire letture innovative che possano mettere in discussione i paradigmi storico-critici vigenti e le nozioni date per acquisite, contribuendo così a reimpostare l’intera questione in una nuova ottica, capace di superare le tradizionali frontiere disciplinari.
Giovanni Catapano - Onorato Grassi; Alessandro Scafi; Enrico Moro; Clelia Vittoria Crialesi; Paola Carusi; Valeria Russo; Fabrizio Amerini; Andrea Porcarelli; Riccardo Saccenti; Giovanni Rossi; Paola Dessì; Antonio Lovato; Fabio Zanin; Chiara Beneduce; Zuleika Murat; Chiara Ponchia - Federica Toniolo; Iolanda Ventura; Xavier Barral i Altet; Remy Simonetti; Agostino Paravicini Bagliani.