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Scientists --- Scientists. --- Cardano, Girolamo, --- Cardano, Girolamo, --- Cardano, Girolamo, --- Italy.

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Casanova, Giacomo, --- Europe --- History --- Casanova, Giacomo --- Casanova de Seingalt, Giacomo Girolamo, --- Kasanova, Dzhiakomo, --- Seingalt, Giacomo Girolamo Casanova de --- Casanova de Seingalt, Giovanni Giacomo --- Casanova di Seingalt, Giacomo Girolamo --- Casanova, Jacques --- Casanova de Seingalt, Jacques --- Seingalt, Jacques Casanova de --- De Seingalt, Giacomo Girolamo Casanova --- Casanova --- Kazanova --- Казанова, Джакомо --- קאזאנובה, ג'אקומו,

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Sara Confalonieri presents an overview of Cardano’s mathematical treatises and, in particular, discusses the writings that deal with cubic equations. The author gives an insight into the latest of Cardano’s algebraic works, the De Regula Aliza (1570), which displays the attempts to overcome the difficulties entailed by the casus irreducibilis. Notably some of Cardano's strategies in this treatise are thoroughly analyzed. Far from offering an ultimate account of De Regula Aliza, by one of the most outstanding scholars of the 16th century, the present work is a first step towards a better understanding. Contents Inter-Dependencies Between the Families of Cubic Equations in the Ars Magna  Ars Magna, Chapters XI-XXIII and the Casus Irreducibilis Getting Acquainted with the De Regula Aliza The Method of the Splittings in Aliza, Chapter I Target Groups  Academics, researcher and students in the fields of mathematics, the history of mathematics, and epistemology. The Author Sara Confalonieri graduated in Philosophy at the Università degli Studi di Milano, in Mathematics at the Université Paris 6, and in Epistemology at the Université Paris 7, where she also obtained the PhD degree in history of mathematics on cubic equations during the Renaissance. At present, she takes part in a project on history of the didactic of mathematics in the 18th century at the Bergische Universität in Wuppertal as a post-doctoral researcher.

Philosophy. --- Epistemology. --- Algebra. --- Philosophy (General). --- Genetic epistemology. --- Epistémologie génétique --- Algèbre --- Philosophy --- Philosophy & Religion --- Speculative Philosophy --- Equations, Cubic. --- Cardano, Girolamo, --- Cubic equations --- Cardan, Jerome --- Cardanus, Hieronymus --- Mathematics --- Mathematical analysis --- Developmental psychology --- Knowledge, Theory of --- Epistemology --- Theory of knowledge --- Psychology

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"Brought to Florence at the instance of Lorenzo de' Medici to become lector to the Dominican community at San Marco, Girolamo Savonarola would ultimately be responsible for the events that convulsed the city in the 1490s and led to the overthrow of the Medici themselves. Savonarola's apocalyptic sermons, preached from the pulpits of San Marco and the Duomo, predicted dire consequences for a sinful Florence, a scourging, if the Florentines did not mend their ways and form themselves into a commonwealth for God. Fully in the ascendant by 1495, Savonarola increasingly used his platform in Florence to urge a renewal of the entire Church, a renovatio ecclesiae that implicated the papacy as a particular impediment to reform. He was accused of heresy and eventually excommunicated by the Borgia pope, Alexander VI, on 13 May 1497. Savonarola refused to acknowledge the validity of the excommunication and defended himself against the charges. But he was soon arrested by the Florentine Signoria--the city's highest magistracy--at the pope's behest. He was then brought to trial for falsely claiming to have seen visions and uttered prophecies, for religious error, and sedition. In a few days it was all over. Girolamo Savonarola was hanged and burned, together with two of his Dominican disciples from San Marco, in Florence's Piazza della Signoria on 23 May 1498, still professing adherence to the Church. Girolamo Savonarola's self-defense, like his visionary teaching, was preached from the pulpits of Florence, but was also carried on through a series of writings. The works presented in this volume were all written by the friar during the dramatic months leading up to his death, as he ever more desperately defended his actions to those who were ranged against him"--Provided by publisher.

Reformers --- Excommunication --- Réformateurs --- Correspondence --- Catholic Church --- History --- Sources --- Correspondance --- Eglise catholique --- Histoire --- Savonarola, Girolamo, --- Alexander --- Political and social views. --- Religion. --- Correspondence. --- Dominicans --- Florence (Italy) --- Florence (Italie) --- Sources. --- Church history --- Histoire religieuse --- 2 SAVORANOLA, HIERONYMUS --- Anathema --- Expulsion --- Church discipline --- Persons --- Godsdienst. Theologie--SAVORANOLA, HIERONYMUS --- Alessandro --- Alexandre --- Borgia, Roderico Lenzuoli, --- Borgia, Rodrigo, --- Borja, Roderic de, --- Borja, Rodrigo de, --- Borja y Borja, Rodrigo de, --- Borja y Doms, Rodrigo, --- De Borja, Roderic, --- De Borja, Rodrigo, --- De Borja y Borja, Rodrigo, --- Doms, Rodrigo Borja y, --- Lançol y Borja, Rodrigo, --- Lanzol y Borja, Rodrigo, --- Lenzuoli Borja, Roderico, --- Savonarole, Jérome, --- Savonarola, Girolamo Maria Francesco Matteo, --- Savonarola, Gerolamo, --- Savonarola, Hieronimo, --- Savonarola, Hieronymus, --- Savonarola, Ieróm, --- Savanorola, Hierome, --- Hieronymo, --- Black Friars --- Friars Preachers --- FF. prêcheurs --- Frères prêcheurs --- Ordo Fratrum Praedicatorum --- Preaching Friars --- Predicadores --- Orden de Predicadores --- Frati predicatori --- Ordo Praedicatorum --- Dominikanie --- Zakon Kaznodziejski --- Prediger-Orden --- Zakon Ojców Dominikanów --- Zakon Dominikanów --- Ordre de saint Dominique --- Dominicains --- Order of St. Dominic --- Order of Preachers --- Dominikaner --- Dominicanos --- Padres Domínicos --- Dominican Fathers --- Ordem de São Domingos --- Ordem de S. Domingos --- Dominicos --- Domenicani --- Ordre des Frères-Prêcheurs --- Dominicanen --- Dominican Order --- Blackfriars --- Jacobins (Religious order) --- Ордэн дамініканаў --- Ordėn daminikanaŭ --- Dominikanci --- Доминикански орден --- Dominikanski orden --- Orde dels Predicadors --- Orde de Predicadors --- O.P. --- Dominics --- Orde Dominicà --- Orde dels Frares Predicadors --- Orde de Sant Domènec --- Домініканці --- Dominikant︠s︡i --- Ordine dei predicatori --- Ordine dei Frati predicatori --- 2 SAVORANOLA, HIERONYMUS Godsdienst. Theologie--SAVORANOLA, HIERONYMUS --- Borgia, Rodrigo --- Réformateurs --- Ordre des Prêcheurs --- Florent︠s︡ii︠a︡ (Italy) --- Firenze (Italy) --- Florencia (Italy) --- Florença (Italy) --- Florenz (Italy) --- Florentia (Italy) --- Florence (Tuscany) --- Reformers. --- Savonarola, Girolamo --- Dominicans. --- To 1737. --- Italy