In modern times the so?called consequentia mirabilis (if not-P, then P). then P) was first enthusiastically applied and commented upon by Cardano (1570) and Clavius (1574). Of later passages where it occurs Saccheri?s use (1697) has drawn a good deal of attention. It is less known that about the middle of the 17th century this remarkable mode of arguing became the subject of an interesting debate, in which the Belgian mathematician Andreas Tacquet and Christiaan Huygens were the main representatives (...) of opposite views concerning its probative force. In this article the several phases and moves of that debate are delineated. (shrink)

1. Introduction: 1.1 Difficulties of Approach; 1.2 Philosophical Background. 2. The Context of Early Modern Theories of the Passions: 2.1 Changing Vocabulary; 2.2 Taxonomies; 2.3 Philosophical Issues in Theories of the Emotions. SUPPLEMENTARY DOCUMENTS: Ancient, Medieval and Renaissance Theories of the Emotions; Descartes; Hobbes; Malebranche; Spinoza; Shaftsbury; Hutcheson; Hume.

Basic course of study on Buddhist logic according to Sa-skya-pa sect of Tibetan Buddhism.

This book constitutes the proceedings of the 17th International Conference, TAP 2023, as part of STAF 2023, a federation of conferences on Software Technologies, Applications and Foundations, which includes two more conferences besides TAP: ICGT (International Conference on Graph Transformations), and ECMFA (European Conference on Modelling Foundations and Applications) in Leicester, UK, in July 2023. The 8 full papers together with 2 short papers included in this volume were carefully reviewed and selected from 14 submissions. They were organized in (...) topical sections on Low-level Code Verification, Formal Models, Model-based test generation, and Abstraction and Refinement. (shrink)

The focus of this volume is the crisis of the traditional view of the relationship between words and things and the emergence of linguistic arbitrarism in 17th ...

The article focuses on the report of the International Workshop on “17th Century Polish Jesuits in China: Michal Boym, Jan Mikolaj Smogulecki, and Andrzej Rudomina” held at the University School of Philosophy and Education in Poland organized by the Monumenta Serica Institute. The author focuses on the Chinese philosophy lecture by Professor Shi Yunli about the influence of Smogulecki on Xue Fengzou, Chinese culture and science and their work on astrology and astronomy.

According to a grand narrative that long ago ceased to be told, there was a seventeenth century Scientific Revolution, during which a few heroes conquered nature thanks to mathematics. When this grand narrative was brought into question, our perspectives on the question of mathematization should have changed. It seems, however, that they were instead set aside, both because of a general distrust towards sweeping narratives that are always subject to the suspicion that they overlook the unyielding complexity of real history, (...) and because of a shift in our interests. The more obscure and idiosyncratic they are, an alchemist, a patron of the sciences or a lunatic collector is nowadays honored in journals of the history of sciences. As for the general issues involved in the question of mathematization, they are rejected as obsolete, or reserved for specialized journals in the history of mathematics. The article « Forms of mathematization » examines in general the notion of mathematization, distinguishes different forms of mathematization and defends a renewed study of the forms of mathematization in the history of the early sciences. (shrink)

The article focuses on the report of the International Workshop on “17th Century Polish Jesuits in China: Michal Boym, Jan Mikolaj Smogulecki, and Andrzej Rudomina” held at the University School of Philosophy and Education in Poland organized by the Monumenta Serica Institute. The author focuses on the Chinese philosophy lecture by Professor Shi Yunli about the influence of Smogulecki on Xue Fengzou, Chinese culture and science and their work on astrology and astronomy.

A key consideration in the selection of these eight titles was the scarcity of the original editions - most have never been reprinted and should therefore supplement existing library holdings of 17th and 18th century British thought. The only title published more recently, Luce's definitive biography of Berkeley, was selected because of its exceptional importance for modern scholarship - here it is included with a new introduction by David Berman.

According to a grand narrative that long ago ceased to be told, there was a seventeenth century Scientific Revolution, during which a few heroes conquered nature thanks to mathematics. This grand narrative began with the exhibition of quantitative laws that these heroes, Galileo and Newton for example, had disclosed: the law of falling bodies, according to which the speed of a falling body is proportional to the square of the time that has elapsed since the beginning of its fall; the (...) law of gravitation, according to which two bodies are attracted to one another in proportion to the sum of their masses and in inverse proportion to the square of the distance separating them -- according to his own preferences, each narrator added one or two quantitative laws of this kind. The essential feature was not so much the examples that were chosen, but, rather, the more or less explicit theses that accompanied them. First, mathematization would be taken as the criterion for distinguishing between a qualitative Aristotelian philosophy and the new quantitative physics. Secondly, mathematization was founded on the metaphysical conviction that the world was created pondere, numero et mensura, or that the ultimate components of natural things are triangles, circles, and other geometrical objects. This metaphysical conviction had two immediate consequences: that all the phenomena of nature can be in principle submitted to mathematics and that mathematical language is transparent; it is the language of nature itself and has simply to be picked up at the surface of phenomena. Finally, it goes without saying that, from a social point of view, the evolution of the sciences was apprehended through what has been aptly called the "relay runner model," according to which science progresses as a result of individual discoveries. Grand narratives such as this are perhaps simply fictions doomed to ruin as soon as they are clearly expressed. In any case, the very assumption on which this grand narrative relies can be brought into question: even in the canonical domain of mechanics, the relevant epistemological units crucial to understanding the dynamics of the Scientific Revolution are perhaps not a few laws of motion, but a complex set of problems embodied in mundane objects. Moreover, each of the theses just mentioned was actually challenged during the long period of historiographical reappraisal, out of which we have probably not yet stepped. Against the sharp distinction between a qualitative Aristotelian philosophy and the new quantitative physics, numerous studies insist that Rome wasn't built in a day, so to speak. Since Antiquity, there have always been mixed sciences; the emergence of pre-classical mechanics depends on both medieval treatises and the practical challenges met by Renaissance engineers. It is indeed true that, for Aristotle, mathematics merely captures the superficial properties of things, but the Aristotelianisms were many during the Renaissance and the Early Modern period, with some of them being compatible with the introduction of mathematics in natural philosophy. In addition, the gap between the alleged program of mathematizing nature and its effective realization was underlined as most natural phenomena actually escaped mathematization; at best they were enrolled in what Thomas Kuhn began to rehabilitate under the appellation of the "Baconian sciences," i.e., empirical investigations aiming at establishing isolated facts, without relating them to any overarching theory. Hence, mathematization of nature cannot pretend to capture a historical fact: at most, it expresses an indeterminate task for generations to come. On top of these first two considerations, and against the thesis of the neutrality of the mathematical language, it was urged that mathematics is not "only a language" and that, exactly as other symbolic means or cognitive tools, it has its own constraints. For example, it has been thoroughly explained that the Euclidean theory of proportions both guides and frustrates the Galilean analysis of motion; its shortages were particularly clear with respect to the expression of continuity, which is crucial in the case of motion. Consequently, when calculus was invented and applied to the analysis of motion, it was not a transposition that left things as they stood. Even more clearly than in the case of a translation from one natural language to another, the shift from one symbolic language to another entails that certain possibilities are opened while others are closed. The cognitive constraints imposed by established mathematical theories, as seen in the theory of proportions or calculus, were not the only ones to be studied in relation to mathematization. Certain schemes dependent on the grammar of natural languages, e.g., the scheme of contrariety, or certain symbolic means of representation, e.g. geometrical diagrams and numerical tables, were also subject to such scrutiny. Lastly, it was insisted that, even if we concede the existence of scientific geniuses, mathematics is largely produced by intellectual communities and embedded within social practices. More attention was consequently paid to the forms of communication in given mathematical networks, or to the teaching of the discipline in, for example, Jesuit colleges and universities. The set of mathematical practices specific to specialized craftsmen, highly-qualified experts and engineers began to be studied in its own right. All these reflections may have helped us change our perspectives on the question of mathematization. It seems, however, that they were instead set aside, both because of a general distrust towards sweeping narratives that are always subject to the suspicion that they overlook the unyielding complexity of real history, and because of a shift in our interests. The more obscure and idiosyncratic they are, an alchemist, a patron of the sciences or a lunatic collector is nowadays honored in journals of the history of sciences. As for the general issues involved in the question of mathematization, they are rejected as obsolete, or reserved for specialized journals in the history of mathematics. Consequently, before presenting the essays of this fascicle, I would like to say a few words in favor of a renewed study of the forms of mathematization in the history of the early sciences. (shrink)

Antalya, which is today’s attraction center with its historical and natural beauties, was described as “a city like heaven” since ancient times. This city hosted many civilisations and states until the 13th century and became an important seaport after The Seljuks took over the region. The Seljuks applied civilization and urbanization policy also in Antalya, like other regions they ruled. The mosques, madrasahs (Islamıc theology institutions), schools, baths, caravansearis (hostels), hospices, and water cisterns in this period changed the structure of (...) the city and paved the way for improvements of public life. During the Ottomans some of these social institutions were kept active while the others no longer served to the public. However, with the construction of new social institutions, urbanization was resumed. The madrasas were generally built near or adjacent to the mosques, and had a significant role in developing the society and cultural structure. Although the madrasas in Antalya were mainly the institutions that maintain the education system, the research on these madrasas mostly focuses on their architectural features. The majority of these madrasas that are not comprehensively studied. Therefore, the functioning structures and the problems of Antalya Madrasas (Antalya, Korkuteli and Elmalı), which are reflected in the archive documents between the 17th and 20th centuries and also both individuals and institutions that had influence on these madrasas are going to be investigated in this study. Thus, this paper will shed more light on Antalya Madrasas.Summary: Antalya city, which was completely under the Seljuk sovereignty during the reign of Sultan Alaeddin Keykubat I (1219-1236), was named as Alâiyye dedicated to the Sultan's name and became an important port city of the Seljuk State after then. In the process of the fall of the Seljuk State and the beginning of the Emirates (Beylikler) period, the city became a land of Teke-Oğulları, a part of a Hamid-oğulları, and in 1390 the city became an Ottoman city after the struggle of Yıldırım Bayazid with Teke-oğuları. Antalya was home to the madrasahs, one of the formal education institutions during both the Seljuk and the Ottoman Empire. The madrasahs were built next to the mosque or in a detached area built by sometimes administrators or statesmen, sometimes by members of the dynasty or by the citizens who were wealthy. In Antalya, both single floor and second floor madrasahs were built. This study based on the documents from Prime Ministry Ottoman Archive, the travel books of İbn Bibi and Evliya Çelebi, the works on Antalya Madrasahs to be determine the madrasah in the districts of Antalya as Korkuteli and Elmalı. In addition to the Seljuk madrasahs such as Imaret Madrasah, Atabey Armagan Madrasah and Karatay Madrasah, there are also some madrasahs belonging to the Ottoman period, in Antalya. As a matter of fact, the madrasahs increased in number in the period of the Ottoman. Antalya madrasahs which are reflected in archival documents for any reason are as follows: “Süleyman Madrasah” located in Hatip Süleyman Street, “Madrasah built by Haci Mahmed” located in Elmali Street, “Hacı Abbaszâde Hacı Süleyman Madrasah” in Süleyman Street, “İsmail Efendi Madrasah” in Tahtapazarı Kızılsaray Street, Kasab Hacı Ahmed Madrasah, Hacı Cafer Ağa Madrasah, Murad Ağa Madrasah, Esir Hacı Ali Madrasah, Hacı Hasan Madrasah,“Madrasah built by Hasan Efendi” in Keçiyalar Street, in the Kadılar Street of Gediz County “Madrasah built by Yusuf Efendi”, “Madrasah built by Hızır Efendi” in Cami-i atik Street, Murat Pasha Madrasah, “Sefer Ağa Madrasah” located outside the city wall, “Büyülü Minaret Madrasah, Hatuniye Madrasah, Sheik Sinan Camii Madrasah located outside the city Wall, In addition to these madrasahs mentioned in some studies in Antalya, it is also stated that there are madrasahs such as Müsellim Madrasah, Kesik Minaret Madrasah, Karakas Madrasah, Varsakli Mehmet Efendi Madrasah, Meydan Madrasah, Surmeli Madrasah, Canmülk Madrasah, Ahi Kız Madrasah, Hacı Naim Efendi Madrasah, Susam Madrasah, Çömlekçi Madrasah, Değirmenönü Madrasah, Ak Mescid Madrasah, Âşık Doğan Madrasah and Çukur Madrasah.According to archive documents, in the sub-district of Antalya, which is used as a plateau or plateau area, some madrasahs were recorded as follows: Pınarbaşı Madrasah, Hızır Efendi Madrasah, Mustafa Efendi Madrasah, Emir Sinaneddin Madrasah, Hacı Menlü (Mevlüt) oğlu Ömer Medrese, Abu Bakr Agha Madrasah, Koca Hafız Medrese, Hacı Mollaoğlu El-Hac Ömer Madrasah, Sheikh İsmail Efendi Madrasah. However, Süleyman Fikri Erten, who works on Antalya, stated that the number of madrasahs is eight as: Haci Ahmet Madrasah of Kalkanlı, Sultan Hatun Madrasah, Koparanzade Hacı Hüseyin Madrasah, Karabayırlı Hacı Hüseyin Madrasah, Kaşlı Ali Efendi Madrasah, Hacı Hüseyin Madrasah, Şalaka Ahmet Madrasah and Oyunyeri Madrasah.The madrasahs built in Elmalı, another distict of Antalya, were as follows: Ketenci Ömer Paşa Madrasah, Esbak Mir-i Ahur Hacı Mehmet Bey Madrasah, Haydar Baba Madrasah, Arifî Ahmed Paşa Madrasah, Hüseyin Efendi Madrasah, Debbağ Baba Madrasah, Şeyh Ümmi Sinan Madrasah, Babazade Hacı Abdurrahman Madrasah, Hacı Şeyh Efendi Madrasah, Mustafa Efendi Madrasah, Hasan Efendi Madrasah, Salih Efendi Madrasah, Halil Efendi Madrasah, Çankırlı Madrasah, Osman Efendi Madrasah and “Mehmet Efendi Madrasah in Örtekiz village”. In addition, two madrasahs, except from these, were also found in the archive documents.A madrasah was built almost at every Street of Antalya and the madrasahs were usually named by the name of their builders. Madrasah students were provided with a certain amount of scholarship to continue their education according to the level of the education in the madrasahs and the level of the courses taught, salaries of the scholars, the status of the builder of the madrasah. The scholars who worked in the madrasahs worked with a document called berat-i sharif and in the case of the disappearance of this document a new berat-i sharif would be prepared by the Shaykh al-Islami. Scholars working without this document were also determined. In the scholar appointments foundation, board of trustees, müfti, and the city regents were very influential. There were also some appointments resulted from death, promotion besides leaving job with their own will. There were some problems with the appointments in Antalya and the foundation revenues to which the madrasah was attached were delivered to certain individuals until these problems were resolved.In madrasahs of Antalya, science was given a great importance and all kinds of monetary issues were tired to be eliminated with donations given to both scholars and students. However, it is observed that madrasahs were involved in some events in Antalya. As a matter of fact, among those who participated in the Şah Kulu Rebellion that took place in 1510-1511, there were also madrasah students and education training had therefore been disrupted for a long time. it is known that the state sent orders to the judges (qadi) in the region consecutively in order to prevent the rebellion. Also during this period some madrasahs were used as the activity center of armed students or people who disguised them.One of the issues that negates the education and training in the madrasahs in Antalya is that in 1890 the immigrants started to be hosted in Antalya and the guests visiting were accommodated in madrasahs as there were no other available places. This situation had been continued for a long time and even telegrams have been sent about the students living on the sidewalks.Another important issue that disrupts education was epidemic diseases. It was reported that too many people died in the district of Istanoz because of smallpox, there was no doctor and the health personnel should go to the region urgently. Despite all the problems experienced in madrasahs, they continued their activities in Antalya and while continuing their activities under the control of foundations in 1826, with the establishment of the Ministry of Foundations, they were connected to this institution. (shrink)

This is a compilation of papers presented at the Seventeenth Annual Meeting of the West Coast Conference on Formal Linguistics, held February 20-22, 1998 in Vancouver, Canada, hosted by the University of British Columbia Department of Linguistics. The conference drew a large number of participants, from around the world. The fifty papers in this volume address theoretical issues in Syntax, Phonology, the Syntax-Semantics and Syntax-Phonology interfaces, and Language Acquisition, and provide an exciting view of current theory in these areas.

We recall the characterisation of positive definite polynomial functions over a real closed ring due to Dickmann, and give a new proof of this result, based upon ideas of Abraham Robinson. In addition we isolate the class of convexly ordered valuation rings for which this characterisation holds.

_Purpose._ The main purpose of this research is to comprehend the philosophical principles in the spread and legitimation of the Self-made-man idea in the worldview transformations of the 17th century. _Theoretical basis._ Historical and comparative methods became fundamental ones for the research. The research is based on the creative heritage of R. Descartes, T. Hobbes, J. Locke, as well as the works of modern researchers. _Originality._ The analysis shows that the Self-made-man idea, which originated in the ancient world and (...) gradually spreads in the Christian Middle Ages, gained a powerful impetus in the philosophical and moral-legal metamorphoses of the 17th century. These metamorphoses theoretically substantiated and radically accelerated the transition from mystical to rational, from theocentric to the anthropocentric worldview, and, as a result, to the recognition of the intellectual autonomy of the individuals and the freedom of their own will, the emergence of the construct of natural human rights, the requirements of religious tolerance and freedom of conscience, ultimately, to the principle of reliance on one’s own strength and the individual’s personal responsibility for one’s own destiny. Exactly these ideas in interaction with the ideas of Puritanism became the theoretical basis for the formation of B. Franklin’s views and the corresponding cultural code. _Conclusions._ The philosophy of the 17th century, having laid the principles of a new – subject-centric – metaphysics, as well as the philosophical and legal foundations of liberal ideology, provided philosophical and moral-legal legitimation to the sporadic attempts of man to break out of the triple circle of fatalism, paternalism, and conformity to a rationally founded and the ever-growing orientation of the individual towards active self-determination and self-realization, self-reliance and personal responsibility for their own destiny as key principles of the Self-made-man concept. (shrink)

This article surveys work on descartes, Spinoza, Malebranche, And leibniz, Between 1960 and 1972, With particular attention to hintikka, Frankfurt, Kenny, Gueroult, Robinet, Rescher, Parkinson, Ishiguro, And mates. It is accompanied by an extensive bibliography.

This fourth volume traces the history of Renaissance philosophy and seventeenth century rationalism, covering Descartes and the birth of modern philosophy.