Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with (...) the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day. (shrink)

Excerpt from Les Etapes de la Philosophie Mathematique Nous voudrions indiquer maintenant comment notre enquete historique nous a guide vers les conclusions que nous avons soutenues dans les dernieres pages de notre travail. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the (...) aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

§1. Introduction. This paper deals with aspects of my doctoral dissertation which contributed to the early development of model theory. What was of use to later workers was less the results of my thesis, than the method by which I proved the completeness of first-order logic—a result established by Kurt Gödel in his doctoral thesis 18 years before.The ideas that fed my discovery of this proof were mostly those I found in the teachings and writings of Alonzo Church. This may (...) seem curious, as his work in logic, and his teaching, gave great emphasis to the constructive character of mathematical logic, while the model theory to which I contributed is filled with theorems about very large classes of mathematical structures, whose proofs often by-pass constructive methods.Another curious thing about my discovery of a new proof of Gödel's completeness theorem, is that it arrived in the midst of my efforts to prove an entirely different result. Such “accidental” discoveries arise in many parts of scientific work. Perhaps there are regularities in the conditions under which such “accidents” occur which would interest some historians, so I shall try to describe in some detail the accident which befell me.A mathematical discovery is an idea, or a complex of ideas, which have been found and set forth under certain circumstances. The process of discovery consists in selecting certain input ideas and somehow combining and transforming them to produce the new output ideas. The process that produces a particular discovery may thus be represented by a diagram such as one sees in many parts of science; a “black box” with lines coming in from the left to represent the input ideas, and lines going out to the right representing the output. To describe that discovery one must explain what occurs inside the box, i.e., how the outputs were obtained from the inputs. (shrink)

In his book The future of human nature, Jürgen Habermas argues against a scenario of liberal eugenics, in which parents are free to prenatally manipulate their children’s genetic constitution via germline interventions. In this paper, I draw attention to the fact that his species‐ethical line of argument is pervaded by a substantial ambiguity between an argument from actual intervention (AAI) and an argument from mere controllability (AMC). Whereas the first argument focuses on threats for the autonomy and equality of prenatally (...) modified persons, the second argument takes all human beings, whether they have been modified or not, into account. Hence, when invoking Habermas in these debates, bioethicists need to consider carefully which argument they are referring to. (shrink)

Background: This study investigated the factors affecting the acceptability in France of abortions. Method: 80 study participants from Toulouse and 124 from Metz judged the acceptability of abortion in 64 vignettes composed of five factors: 1) the adolescent's age (15 or 17.5 years), 2) the adolescent's plans to continue schooling or not, 3) the fetus' age (1, 2, 3, or 4 months), 4) the adolescent's parents' agreement or not, and 5) the agreement or not of baby's father. Results: Three clusters (...) were noted: 1) abortion is never acceptable (8% of participants), 2) abortion is always acceptable (23%), and 3) acceptability of abortion depends on the circumstances (63%). In the majority cluster (3), all five factors had significant effects, but the fetus's age accounted for most of the variance (78%). Conclusion: Most subjects in this study judged, in accordance with French law, that the acceptability of induced abortion in minors depends on the circumstances and, in particular, on the fetus' age. (shrink)

El objetivo de este ensayo es mostrar algunos ejemplos del papel fundamental que tuvo la Biblia en la evangelización del Nuevo Mundo durante el siglo XVI. Tres aspectos serán estudiados aquí: 1) el intento inicial de traducir los textos bíblicos a las lenguas indígenas, finalmente frustrado; 2) la importancia de la Sagrada Escritura para dilucidar las estrategias políticas y religiosas a seguir con respecto al Nuevo Mundo, ejemplarizada en la cita de Lc 14,23; 3) los temas bíblicos en el teatro (...) de evangelización. The aim of this essay is to show some examples of the important role that had the Bible in the evangelization of the New World during the 16th century. Three aspects will be studied here: 1) the initial attempt to translate biblical texts to indigenous languages, finally frustrated; the importance of Sacred Scripture for political and religious strategies to be followed with respect to the New World, exampled on the appointment of Lc 14.23; biblical themes in the theatre of evangelization. (shrink)

Corinne de González De Léon; Classificatory Schemes and the Justification of Educational Content: a re-interpretation of the Hirstian approach, Journal of Philo.

Eric Davidson was a legend both in his science and his personality. He inspired and challenged a new generation of developmental biologists and I was lucky to be one of them. He changed the way we think about biological interactions by synthesizing a large scale, almost incomprehensible set of data into a causal model of a gene regulatory network. While his death leaves a big hole in our lives, his contribution to the conceptualization of regulatory biology will inspire developmental and (...) evolutionary biologists for decades to come. (shrink)

This paper contends that the identification of a pro-competitive agenda in the process of regulatory reform undertaken in many developing countries ultimately rests on the vision held by the authority about the sources of market failures. Conventional IO theory rests on the assumption that the exercise of market power by incumbent firms limits the access of potential competitive entrants, and therefore, regulation should curb such power. However, the existence of market power is an inference from conventional thinking on markets and (...) competition. Professor Kirzner overturned this thinking, by introducing a realistic process perspective of markets, instead of the traditional structural view. Beyond the philosophical question of “realism,” the market process view sustains practical policy making advantages, mostly due to the lack of knowledge requirements placed upon the regulatory agencies to allocate resources more efficiently. The process view suggests the need of creating a proper institutional setting for firms to freely interact, rather than on impinging in the allocation of resources itself according to unreliable contrived views of market efficiency. Based on Kirzner´s process view, this paper outlines an alternative network competition perspective, focused on the integration of complementary capabilities, as a regulatory yardstick. This view balances the rights of incumbent firms to exploit their rights, and the possibilities of third parties to integrate into the network concerned on a non-discriminatory basis, thereby preserving the investments of incumbents on a more equitable basis.Cet article affirme que l’agenda proconcurrentiel de réforme réglementaire entrepris dans plusieurs pays en développement repose en fin de compte sur la vision qu’a l’autorité concernant les échecs de marché. La théorie conventionnelle d’organisation industrielle suppose que l’exercice du pouvoir marchand par les firmes existantes limite l’accès de concurrents potentiels et, qu’en conséque- nce, la réglementation devrait brider ces pouvoirs. Cependant, l’idée qu’il existe un pouvoir marchand est une émanation de la pensée conventionnelle à propos des marchés et de la concurrence. En opposant une vision réaliste du processus marchand à la vision structurelle traditionnelle, le Professeur Kirzner a réduit à néant ce mode de pensée conventionnelle. Audelà de la question philosophique du “réalisme”, la vision procédurale de marché affirme que la politique de réglementation est un échec car les agences de réglementation ne disposent pas des connaissances nécessaires requises pour affecter les ressources de manière efficace. La vision procédurale suggère le besoin de créer un environnement institutionnel dans lequel les entreprises peuvent interagir entre elles plutôt que d’empiéter sur l’affectation des ressources en ellemême comme le suggère la perspective artificielle et peu fiable de l’efficacité marchande. Se fondant en cela sur la vision procédurale de Kirzner, cet article ébauche une perspective différente du réseau concurrentiel dont l’étalon est l’intégration des capacités complémentaires. Dans cette vision, les droits des firmes existantes à exploiter leurs droits ont comme contrepoids les possibilités de tierces parties à s’intégrer dans le réseau concerné sur une base nondiscriminatoire, préservant ainsi les investissements des entreprises existantes suivant une base plus équitable. (shrink)

The article examines a number of methodological and conceptual features in the philosophical work of S.L. Rubinstein of the early (Marburg) period. It is assumed that the copies of Rubinstein’s doctoral inaugural dissertation available at the university of Marburg (Germany) and it the private archive of K.A. Abulkhanova represents two parts of one research, which understated expect in it’s first part (the text submitted for defense) an interpretation and criticism of Hegel’s absolute rationalism, and in the second part an exposition (...) of the author’s own concept. It is proved that Rubinstein overcomes the logical limitation the Hegelian philosophical absolutization – the opposition of being and consciousness, the author fuses object and subject in a single being as a domain of accommodation of both, the construction of the internal consistent picture of being as the actual being of a leaving subject. Acknowledgement of Sources. The author is sincerely grateful to the D. Sc. in Philosophy, Professor, Academician of the Russian Academy of Education K.A. Abulkhanova for the materials provided from her personal archive. (shrink)