Wenn es eine Aufgabe der Philosophie ist, die Herrschaft des Wortes über den menschlichen Geist zu brechen (Frege), dann ist zu fragen, ob die Prädikatenlogik die Wörter «für alle» und «es gibt» angemessen formalisiert. Übersetzt man «alle Menschen sind sterblich» mit «für alle x : wenn x ein Mensch ist, dann ist x sterblich», so hat man zwar die Syllogistik des Aristoteles überwunden, dafür tritt jetzt aber eine Variable x auf, die in der Aussage vorher nicht vorkam.

Varied evidence confirms more strongly than less varied evidence, ceteris paribus. This epistemological Variety of Evidence Thesis enjoys widespread intuitive support. We put forward a novel explication of one notion of varied evidence and the Variety of Evidence Thesis within Bayesian models of scientific inference by appealing to measures of entropy. Our explication of the Variety of Evidence Thesis holds in many of our models which also pronounce on disconfirmatory and discordant evidence. We argue that our models pronounce rightly. Against (...) a backdrop of failures of the Variety of Evidence Thesis, the intuitive case for the Variety of Evidence Thesis emerges strengthened. Our models do however not support the general case for the thesis since our explication of it fails to hold in certain cases. The parameter space of this failure is explored and an explanation for the failure is offered. (shrink)

This paper highlights the role of Lewis’ Principal Principle and certain auxiliary conditions on admissibility as serving to explicate normal informal standards of what is reasonable. These considerations motivate the presuppositions of the argument that the Principal Principle implies the Principle of Indifference, put forward by Hawthorne et al.. They also suggest a line of response to recent criticisms of that argument, due to Pettigrew and Titelbaum and Hart, 621–632, 2020). The paper also shows that related concerns of Hart and (...) Titelbaum, 252–262, 2015) do not undermine the argument of Hawthorne et al.. (shrink)

The history of science can be better understood against the background of a history of knowledge comprising not only theoretical but also intuitive and practical knowledge. This widening of scope necessitates a more concise definition of the concept of knowledge, relating its cognitive to its material and social dimensions. The history of knowledge comprises the history of institutions in which knowledge is produced and transmitted. This is an essential but hitherto neglected aspect of cultural evolution. Taking this aspect into account (...) one is led to the concept of extended evolution, which integrates the perspectives of niche construction and complex regulative networks. The paper illustrates this concept using four examples: the emergence of language, the Neolithic revolution, the invention of writing and the origin of mechanics. (shrink)

This paper addresses the problem of finding a Bayesian net representation of the probability function that agrees with the distributions of multiple consistent datasets and otherwise has maximum entropy. We give a general algorithm which is significantly more efficient than the standard brute-force approach. Furthermore, we show that in a wide range of cases such a Bayesian net can be obtained without solving any optimisation problem.

Ingenieur- und Naturwissenschaften sind Knoten eines engen Beziehungsgeflechts, in dem Mensch und Gesellschaft, Natur und Kultur weitere Knoten sind. Entwicklungen in diesen beiden Bereichen haben somit stets Auswirkungen sowohl auf die anderen Knoten als auf das Beziehungsgeflecht als Ganzes. Ingenieur- und Naturwissenschaften sind als ars humana zudem stets eine Form menschlicher Handlung. Damit werden sie zu einem Schlüsselproblem der theoretischen und praktischen Philosophie. Denn der Mensch, seine Handlungen und seine Eingliederung in die Gesellschaft stehen ebenso wie die Natur und die (...) Kultur seit jeher im Zentrum philosophischer Untersuchungen. Die Philosophie vermag diese beiden Wissenschaftsbereiche zu fundieren und kritisch zu begleiten. Philosophie, Ingenieur- und Naturwissenschaften haben das Vermögen, sich gegenseitig zu befruchten. In Anbetracht der humanen, sozialen und ökologischen Probleme des 21. Jhds. ist die fachbereichsübergreifende und partnerschaftliche Zusammenarbeit dieser drei Schlüsselbereiche unabdingbar. Sie ist eine nicht hintergehbare Grundbedingung aller Entwicklungen, die den Anspruch erheben, nachhaltig zu sein und damit dem normativen Leitziel folgen, heutigen und zukünftigen Generationen bedingungslos ein menschenwürdiges Leben zu ermöglichen. Ingenieure und Naturwissenschaftler können dabei einen wesentlichen Beitrag leisten. Die folgenden zehn Thesen begründen die Bedeutung einer an Nachhaltigkeit orientierten philosophischen Grundbildung von Ingenieuren und Naturwissenschaftlern. (shrink)

The application of the maximum entropy principle to determine probabilities on finite domains is well-understood. Its application to infinite domains still lacks a well-studied comprehensive approach. There are two different strategies for applying the maximum entropy principle on first-order predicate languages: applying it to finite sublanguages and taking a limit; comparing finite entropies of probability functions defined on the language as a whole. The entropy-limit conjecture roughly says that these two strategies result in the same probabilities. While the conjecture is (...) known to hold for monadic languages as well as for premiss sentences containing only existential or only universal quantifiers, its status for premiss sentences of greater quantifier complexity is, in general, unknown. I here show that the first approach fails to provide a sensible answer for some \-premiss sentences. I discuss implications of this failure for the first strategy and consequences for the entropy-limit conjecture. (shrink)

Responding to Chalmers' The Singularity , I argue that progress towards self-improving Ais is already substantially beyond what many futurists and philosophers are aware of. Instead of rehashing well-trodden topics of the previous millennium, let us start focusing on relevant new millennium results.

This paper explores Simon Stevin’s l’Arithmétique of 1585, where we find a novel understanding of the concept of number. I will discuss the dynamics between his practice and philosophy of mathematics, and put it in the context of his general epistemological attitude. Subsequently, I will take a close look at his justificational concerns, and at how these are reflected in his inductive, a postiori and structuralist approach to investigating the numerical field. I will argue that Stevin’s renewed conceptualisation of the (...) notion of number is a sort of “existential closure” of the numerical domain, founded upon the practice of his predecessors and contemporaries. Accordingly, I want to make clear that l’Aritmetique have to be read not as an ontological analysis or exploration of the numerical field, but as an explication of a mathematical ethos. In this sense, this article also intends to make a specific contribution to the broader issue of the “ethics of geometry.”. (shrink)

El presente trabajo busca comparar la comprensión liberal con la comprensión republicana de la política. Partiendo de una crítica al tipo de renovación del “republicanismo” que representa Frank Michelman, desarrolla un concepto procedimental de política deliberativa. Afirma el autor que la diferencia decisiva entre las dos concepciones consiste en la comprensión del papel del proceso democrático. Explora luego las consecuencias de ambos enfoque para los conceptos de ciudadano y de derecho, señalando que representan un desacuerdo más profundo respecto de la (...) naturaleza del proceso político. (shrink)

This essay analyzes Einstein’s relativity revolution as part of a long‐term development of knowledge in which the knowledge system of classical physics was reorganized in a process of reflection, described here as a “Copernican process.” This process led in 1905 to the introduction of fundamentally new concepts of space, time, matter, and radiation. On the basis of an extensive historical reconstruction, the heuristics of Einstein’s creation of the general theory of relativity, completing the relativity revolution, is interpreted as a further (...) transformation of the knowledge of classical physics, starting from conceiving gravitation as a borderline problem between field theory and mechanics. The essay thus provides an answer to the puzzle of how Einstein was able to create a theory capable of accounting for a wide range of phenomena that were discovered only much later. (shrink)

In Descartes, the concept of a ‘universal science’ differs from that of a ‘mathesis universalis’, in that the latter is simply a general theory of quantities and proportions. Mathesis universalis is closely linked with mathematical analysis; the theorem to be proved is taken as given, and the analyst seeks to discover that from which the theorem follows. Though the analytic method is followed in the Meditations, Descartes is not concerned with a mathematisation of method; mathematics merely provides him with examples. (...) Leibniz, on the other hand, stressed the importance of a calculus as a way of representing and adding to what is known, and tried to construct a ‘universal calculus’ as part of his proposed universal symbolism, his ‘characteristica universalis’. The characteristica universalis was never completed—it proved impossible, for example, to list its basic terms, the ‘alphabet of human thoughts’—but parts of it did come to fruition, in the shape of Leibniz's infinitesimal calculus and his various logical calculi. By his construction of these calculi, Leibniz proved that it is possible to operate with concepts in a purely formal way. (shrink)

The article deals with the question whether an unconditional basic income (UBI) is part of an ideal liberal-egalitarian welfare regime. Analyzing UBI from an ideal-theoretical perspective requires a comparison of the justice performance of ideal welfare regimes instead of comparing isolated institutional designs. This holistic perspective allows for a more systematic consideration of issues like institutional complementarity. I compare three potential ideal welfare regimes from a liberal-egalitarian perspective of justice: An ideal social democratic regime, a mixed regime containing a moderate (...) UBI and a maximal UBI regime where UBI replaces most of the welfare state. These regimes are evaluated with respect to three aspects of justice performance: the scope and neutrality of opportunities provided, institutional complementarities with a dynamic, globalized economy and the policy feedback effects on the political stability of liberal-egalitarian political coalitions. I conclude that the overall performance of a mixed regime is superior to the other regimes. (shrink)

The choice of new technology in a resource-based industry has far-reaching implications for its ethical performance. The kraft pulping industry uses considerable amounts of wood as raw material, and regulatory agencies have been tightening their control limits for effluent, solid waste and air emissions. The technological solutions required to reduce the environmental impact of the industry are shown to have the potential of causing social hardship for the mill's employees, the affected communities, lenders, and owners. In some instances, the technological (...) solutions give rise to new environmental challenges. Forestry practices are influencing the public's perception of the kraft pulping industry, its ethical and environmental performance, its profitability, and the properties of its product, which may increase wood requirements. New forestry practices have the potential to reduce the forest land area required to sustain the kraft pulp production at a given level but ethical problems associated with genetic manipulation, phenodiversity, and biodiversity are identified. This paper analyzes the interface between environmental protection, ethics, and choice of technology. (shrink)

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In this paper we investigate the connections between categoricity and ranks. We use stability theory to prove some old and new results.

First collection of essays entirely devoted to the inscription of Diogenes of Oinoanda. The texts of Diogenes of Oinoanda (2nd century AD) who invited his readers to an Epicurean life is the largest ancient inscription ever discovered. Over 70 new finds have increased the number of known wall blocks and fragments to nearly 300, offering new insights into Diogenes' distinctive presentation of philosophy. This collection of essays discusses the philosophical significance of these discoveries and is the first of this kind (...) entirely devoted to Diogenes of Oinoanda. Particular attention is paid to his philosophical aims and polemical strategies. Diogenes was apparently well aware of still ongoing philosophical debates, engaging in polemics against Presocratic philosophers, Platonics, and especially Stoics. His views about important issues like happiness, fear, old age, and the afterlife are explained on the bases of Epicurean physics and theology, ethics, politics, theory of knowledge, and psychology. (shrink)