Conjecture, proof, and sense in Wittgenstein's philosophy of mathematics

One of the key tenets in Wittgenstein’s philosophy of mathematics is that a mathematical proposition gets its meaning from its proof. This seems to have the paradoxical consequence that a mathematical conjecture has no meaning, or at least not the same meaning that it will have once a proof has been found. Hence, it would appear that a conjecture can never be proven true: for what is proven true must ipso facto be a different proposition from what was only conjectured. Moreover, it would appear impossible that the same mathematical proposition be proven in different ways. — I will consider some of Wittgenstein’s remarks on these issues, and attempt to reconstruct his position in a way that makes it appear less paradoxical.

'In Charge of the Truffula Seeds' : On Children's Literature, Rationality and Children's Voices in Philosophy

In this paper I investigate how philosophy can speak for children and how children can have a voice in philosophy and speak for philosophy. I argue that we should understand children as responsible rational individuals who are involved in their own philosophical inquiries and who can be involved in our own philosophical investigations-not because of their rational abilities, but because we acknowledge them as conversational partners, acknowledge their reasons as reasons, and speak for them as well as let them speak for us and our rational community. In order to argue this I turn, first, to Gareth Matthews' philosophy of childhood and suggest a reconstruction of some of his concepts in line with the philosophy of Stanley Cavell. Second, in order to examine more closely our conceptions of rationality and our pictures of children, I consider the children's books, The Lorax and Where is My Sister? and Henrik Ibsen's play, The Wild Duck.

The Development of Science Education Research in Brazil and Contributions from the History and Philosophy of Science

Over the last 50 years a new research area, science education research, has arisen and undergone singular development worldwide. In the specific case of Brazil, research in science education first appeared systematically 40 years ago, as a consequence of an overall renovation in the field of science education. This evolution was also related to the political events taking place in the country. We will use the theoretical work of Rene Kaes on the development of groups and institutions as a basis for our discussion of the most important aspects that have helped the area of science education research develop into an institution and kept it operating as such. The growth of this area of research can be divided into three phases: The first was related to its beginning and early configurations; the second consisted of a process of consolidation of this institution; and the third consists of more recent developments, characterised by a multiplicity of research lines and corresponding challenges to be faced. In particular, we will analyse the special contributions to this study gleaned from the field known as the history and philosophy of science.

The Rechtslehre doctrine and Kant's philosophy of history

The text is divided in two phases. In the first phase, consisting of three parts, the main concepts of Kant's Doctrine of Right are considered in a comprehensive approach related to: the issue of the relations between natural right and positive right, problem closely connected to that of the relations between natural state and civil state, private right and public right; to the doctrine of property and its connection with political right. on treating the right in its several types, we intend to appoint the practical reasoning as a background of the Doctrine. In the second phase, concerning its last section, the consideration on the presence of the practical reasoning into the right is placed before some specificities of Kant's phylosophy of history, with the intent of establishing the possible relation between Rechtslehre and that philosophy.

A quantitative approach to evolution of music and philosophy

The development of new statistical and computational methods is increasingly making it possible to bridge the gap between hard sciences and humanities. In this study, we propose an approach based on a quantitative evaluation of attributes of objects in fields of humanities, from which concepts such as dialectics and opposition are formally defined mathematically. As case studies, we analyzed the temporal evolution of classical music and philosophy by obtaining data for 8 features characterizing the corresponding fields for 7 well-known composers and philosophers, which were treated with multivariate statistics and pattern recognition methods. A bootstrap method was applied to avoid statistical bias caused by the small sample data set, with which hundreds of artificial composers and philosophers were generated, influenced by the 7 names originally chosen. Upon defining indices for opposition, skewness and counter-dialectics, we confirmed the intuitive analysis of historians in that classical music evolved according to a master apprentice tradition, while in philosophy changes were driven by opposition. Though these case studies were meant only to show the possibility of treating phenomena in humanities quantitatively, including a quantitative measure of concepts such as dialectics and opposition, the results are encouraging for further application of the approach presented here to many other areas, since it is entirely generic.

Marx and the Bible: José Miranda’s Critique of the Philosophy of Oppression

This paper critically examines the liberation theology of José Porfirio Miranda, as expressed in his Marx and the Bible (1971), with a focus on the central idea (and subtitle) of this work: the “Critique of the Philosophy of Oppression.” Miranda’s critique is examined via certain key tropes such as “power,” “justice,” and “freedom,” both in the context of late twentieth-century Latin American society, and in the state of the “post-Christian” and “post-Marxist” world more generally, vis-à-vis contemporary liberal justice theory. Close examination of the potentialities, paradoxes and subtle evasions in Miranda’s critique leads not to the conclusion that Miranda does not go far enough in his application of Christian principles to justice theory.

Physicians' philosophy of care: a comparison of complementary and conventional medicine

BACKGROUND: This project is part of an evaluation of complementary and alternative medicine (CAM) aimed at providing a scientific basis for the Swiss Government to include 5 CAM methods in basic health coverage: anthroposophic medicine, homeopathy, neural therapy, phytotherapy and Traditional Chinese Medicine (TCM). OBJECTIVES: The objective was to explore the philosophy of care (convictions and values, priorities in medical activity, motivation for CAM, criteria for the practice of CAM, limits of the used methods) of conventional and CAM general practitioners (GPs) and to determine differences between both groups. MATERIALS AND METHODS: This study was a cross-sectional survey of a representative sample of 623 GPs who provide complementary or conventional primary care. A mailed questionnaire with open-ended questions focusing on the philosophy of care was used for data collection. An appropriate methodology using a combination of quantitative and qualitative approaches was developed. RESULTS: Significant differences between both groups include philosophy of care (holistic versus positivistic approaches), motivation for CAM (intrinsic versus extrinsic) and priorities in medical activity. Both groups seem to be aware of limitations of the therapeutic methods used. The study reveals that conventional physicians are also using complementary medicine. DISCUSSION: Our study provides a wealth of data documenting several aspects of physicians' philosophy of care as well as differences and similarities between conventional and complementary care. Implications of the study with regard to quality of care as well as ethical and health policy issues should be investigated further.