Using Carnap’s concept explication, we propose a theory of concept formation in mathematics. This theory is then applied to the problem of how to understand the relation between the concepts formal proof and informal, mathematical proof.

Global climate change is likely to become a major cause of future migration. Small Island States are particularly vulnerable since territorial destruction caused by sea level rise poses a threat to their entire existence. This raises important issues concerning state sovereignty and self-determination. Is it possible for a state to remain self-determining even if it lacks a stable population residing on a specific territory? It has been suggested that migrants from disappearing Small Island States could continue to exercise sovereign control (...) over their abandoned territory. Such an arrangement would allow them to retain a measure of self-determination. The question posed in this paper is whether this ?deterritorialized state proposal? is conceptually plausible and normatively acceptable. It is argued that the proposal is conceptually plausible if we adopt a gradual understanding of ?self-determination?, but that its normative acceptability is weak even if it is supplemented with compensatory measures. (shrink)

Recently Carrie S. Jenkins formulated an epistemology of mathematics, or rather arithmetic, respecting apriorism, empiricism, and realism. Central is an idea of concept grounding. The adequacy of this idea has been questioned e.g. concerning the grounding of the mathematically central concept of set (or class), and of composite concepts. In this paper we present a view of concept formation in mathematics, based on ideas from Carnap, leading to modifications of Jenkins’s epistemology that may solve some problematic issues with her ideas. (...) But we also present some further problems with her view, concerning the role of proof for mathematical knowledge. (shrink)

Our traditional ways of thinking about politics and society are becoming obsolete. We need some new points of reference in order to re-imagine the possible character, growth, and functioning of our private and common life. Such re-imagination would imply doing away with every-man-for-himself individualism as well as consumption-makes-me-happy materialism and the-state-will-take-care-of-it passivity. There is an alternative: Personalism is a forgotten, yet golden perspective on humanity that seeks to describe what a human being is and to then draw the social consequences. (...) Personalism builds upon the thinking of Martin Buber and Emmanuel Levinas, among others, and has been a source of inspiration for Martin Luther King, Desmond Tutu, and other important personalities in recent history. According to personalism, humans are relational and engaged and possess dignity. The person and the relationship amongst persons are the universal point of departure: Human beings have inherent dignity, and good relationships amongst humans are crucial for the good, engaged life and for a good society. Personalism has been greatly neglected in Western political thought. In this book, Jonas Norgaard Mortensen attempts to introduce personalism while simultaneously demonstrating its historical origins, acquainting the reader with its thinkers and those who have practiced it, and showing that personalism has a highly relevant contribution to make in the debate about today's social and political developments. (shrink)

Attempts have been made to analyse features in mathematics within a social constructivist context. In this paper we critically examine some of those attempts recently made with focus on problems of the objectivity, ontology, necessity, and atemporality of mathematics. Our conclusion is that these attempts fare no better than traditional alternatives, and that they, furthermore, create new problems of their own.

This paper investigates the topological construction of Wedge Sum, with the aim of showing that it can be done mathematically, via a quotient construction, or logically, via Merge. Consistent and Inconsistent versions are given, while noting that the natural outcome of Merging is an inconsistent theory. Finally it is observed that algebraic constructions can also be treated via Merge, where the extra functionality makes for various triviality and non-triviality results.

Once symbolized by a burning armchair, experimental philosophy has in recent years shifted away from its original hostility to traditional methods. Starting with a brief historical review of the experimentalist challenge to traditional philosophical practice, this chapter looks at research undercutting that challenge, and at ways in which experimental work has evolved to complement and strengthen traditional approaches to philosophical questions.

This is the first book dealing with the reception of Soren Kierkegaard in Japan. It may seem strange that the Danish philosopher, theologian and writer, who is renowned in the western world as individualist and the existentialist, has been read and studied in Japan since the turn of century. The aim of this study is to explain why the Japanese came to read Kierkegaard, how several religious and non-religious lines of reception developed, and why he is still of current interest (...) in postmodern Japan. (shrink)

On the basis of a chronological approach of the decision-making process with regard to the recognition of the PRC we concluded in an analytical part that the decision-making process was merely of the "hypo-institutional" type. Afterwards, we examined the effectivity of the Belgian policy in comparison with the international scientific literature on recognition and with the practice of other small European states. We concluded the non-recognition policy had been ineffective. The relation between "hypo-institutional" decision-making on the one hand and ineffective (...) public policy on the other hand is just one element within a broader research-project : "The effectivity of public policy according to type of decisionmaking". (shrink)

Tekster til Buddhismen. Selected and translated by Frede Möller-Kristensen. Gyldendal, Copenhagen 1980. 104 pp. Illustrated. D.Kr.68.50.

Paraconsistent logic, logic in which inconsistent information does not deliver arbitrary conclusions, is one of the fastest growing areas of logic, with roots in profound philosophical issues, and applications in information processing and philosophy of science. This book contains selected papers presented at the First World Congress on Paraconsistency, held in Ghent in 1997. It contains papers on various aspects of the subject. As such, it should be of interest to all who want to learn what the subject is, and (...) where it is going. (shrink)

First, we consider an argument due to Popper for maximal strength in choice of logic. We dispute this argument, taking a lead from some remarks by Susan Haack; but we defend a set of contrary considerations for minimal strength in logic. Finally, we consider the objection that Popper presupposes the distinctness of logic from science. We conclude from this that all claims to logical truth may be in equal epistemological trouble.

Neurobiologically inspired theories of speech perception such as that proposed by Sussman et al. are useful to the extent that they are able to constrain such theories. If they are simply intended as suggestive analogies, their usefulness is questionable. In such cases it is better to stick with the Gibsonian approach of attempting to isolate invariants in speech and to demonstrate their role for the perceiver in perceptual experiments.

Dirac’s treatment of his well known Delta function was apparently inconsistent. We show how to reconstruct his reasoning using the inconsistency-tolerant technique of Chunk and Permeate. In passing we take note of limitations and developments of that technique.

Sven Erik Nordenbo; Bildung and the Thinking of Bildung, Journal of Philosophy of Education, Volume 36, Issue 3, 16 December 2002, Pages 341–352, https://doi.or.

One of Arthur Prior’s constructions of the relational calculus for times within tense logic plus propositional quantifiers is considered using Malcolm Rennie’s multimodal semantics and found wantin...

One questioned premiss in the indispensability argument of Quine and Putnam is confirmational holism. In this paper I argue for a weakened form of holism, and thus a strengthened version of the ind ..

Mathematical concepts are explications, in Carnap's sense, of vague or otherwise non-clear concepts; mathematical theories have an empirical and a deductive component. From this perspective, I argue that the empirical component of a mathematical theory may be tested together with the fruitfulness of its explications. Using these ideas, I furthermore give an argument for mathematical realism, based on the indispensability argument combined with a weakened version of confirmational holism.

In this paper I discuss possible ways of measuring the power of arithmetical theories, and the possiblity of making an explication in Carnap's sense of this concept. Chaitin formulates several suggestions how to construct measures, and these suggestions are reviewed together with some new and old critical arguments. I also briefly review a measure I have designed together with some shortcomings of this measure. The conclusion of the paper is that it is not possible to formulate an explication of the (...) concept. (shrink)

Our view is that the folk concept of knowing how is more complicated than many epistemologists assume. We present four studies that go some way towards supporting our view—that the folk concept of knowledge-how is a philosophical hybrid, comprising both intellectualist and anti-intellectualist features. One upshot is, if we are going to award a presumptive status to philosophical theories of know-how that best accord with the folk concept, it ought to go to those that combine intellectualist and anti-intellectualist elements.

In this article I will claim that from a Thomist perspective the question “Soul or Brain: What makes us human?” presents us with a false dilemma and hence must as such remain an unanswerable question. In order to corroborate this claim I will do two things. First, I present the framework of a Thomistic anthropology in so far as it relates to the unity of soul and body in the human person. Next, I deal with the question that immediately results (...) from this unity, i.e. the subsistence of the soul. From a Thomist perspective this question can be answered apart from any findings from neuroscience. (shrink)

St. Thomas’s commentary on the Book of Psalms, known as the Postilla super Psalmos, gives us a privileged insight into the mind and heart of a Dominican friar and theologian at work and at prayer. In this contribution I will elucidate these claims on the basis of elements found in his commentary and in particular in the areas of prayer and the liturgy, Christ, Mary and the Church, Sin and Mercy and Contemplation and Preaching.