In the last 20 years network science has become an independent scientific field. We argue that by building network models network scientists are able to tame the vagueness of propositions about complex systems and networks, that is, to make these propositions precise. This makes it possible to study important vague properties such as modularity, near-decomposability, scale-freeness or being a small world. Using an epistemic model of network science, we systematically analyse the specific nature of network models and the logic behind (...) the taming mechanism. (shrink)

"In this book, Gabor Csepregi describes in detail the nature and scope of the body's innate abilities and reflects on their significance in human life."--BOOK JACKET.

We explain the general significance of integer-based descriptors for natural shapes and show that the evolution of two such descriptors, called mechanical descriptors (the number _N_(_t_) of static balance points and the Morse–Smale graph associated with the scalar distance function measured from the center of mass) appear to capture (unlike classical geophysical shape descriptors) one of our most fundamental intuitions about natural abrasion: shapes get monotonically _simplified_ in this process. Thus mechanical descriptors help to establish a correlation between subjective and (...) objective descriptors of perceived objects. (shrink)

Plato claimed that the regular solids are the building blocks of all matter. His views, commonly referred to as the geometric atomistic model, had enormous impact on human thought despite the fact that four of the five Platonic solids can not fill space without gaps. In this paper we quantify these gaps, showing that the errors in Plato’s estimates were quite small. We also develop a mean field approximation to convex honeycombs using a generalized version of Plato’s idea. This approximation (...) not only admits to view convex mosaics in$$d=3$$d=3dimensions as a continuum but we also find that it is quite accurate, showing that Plato’s geometric intuition may have been remarkable. (shrink)

SUMMARYThis study is centred on events in 1580 surrounding a scandalous publication of Machiavelli’s The Prince by Pietro Perna in Basel. With the presentation of new documents the paper fully reconstructs the judicial case that followed its publication, raising new questions about the author of the infamous book Vindiciae contra tyrannos. However, this fascinating story will serve only as a starting point for the investigation of Machiavelli's late-sixteenth-century reception, providing insights into not only the political and religious but also the (...) scientific context of its publication. These fields, it will be argued, were thoroughly interrelated, all sharing similar epistemological premises. (shrink)

Based on the existence of polysemy (e.g., lunch can refer to both food and events), it is argued that central tenets of externalist semantics and Fodorian concept atomism, an externalist theory on which words lack semantic structure, are unsound. We evaluate the premise that these arguments rely on—that polysemous words have separate, finer‐grained senses. We survey the evidence across psychology and linguistics and argue that it shows that polysemy does not exist, at least not in this “sense”. The upshot is (...) that if polysemy does not exist, it cannot pose a problem for atomism or externalism. (shrink)

This is a comprehensive study of the Derveni Papyrus. The papyrus, found in 1962 near Thessaloniki, is not only one of the oldest surviving Greek papyri but is also considered by scholars as a document of primary importance for a better understanding of the religious and philosophical developments in the fifth and fourth centuries BC. Gábor Betegh aims to reconstruct and systematically analyse the different strata of the text and their interrelation by exploring the archaeological context; the interpretation of (...) rituals in the first columns of the text; the Orphic poem commented on by the author of the papyrus; and the cosmological and theological doctrines which emerge from the Derveni author's exegesis of the poem. Betegh discusses the place of the text in the context of late Presocratic philosophy and offers an important preliminary edition of the text of the papyrus with critical apparatus and English translation. (shrink)

ArgumentThe subject of the paper is the shift from an astrology-oriented astronomy towards an allegedly more objective, mathematically grounded approach to astronomy. This shift is illustrated through a close reading of Tycho Brahe's scientific development and the contemporaneous changes in his communicational strategies. Basing the argument on a substantial array of original sources it is claimed that the Danish astronomer developed a new astronomical discourse in pursuit of credibility, giving priority to observational astronomy and natural philosophical questions. The abandonment of (...) astrology in public discourse is primarily explained by Tycho's social position and greater sensibility to controversial issues. Tycho's example suggests that the changes in rhetorical strategies regarding astrology (which happened earlier than changes in astrological belief) should be given more recognition in the history of astronomy. (shrink)

Current philosophical reflections on science have departed from mainstream history of science with respect to both methodology and conclusions. The article investigates how different approaches to reconstructing commitments can explain these differences and facilitate a mutual understanding and communication of these two perspectives on science. Translating the differences into problems pertaining to principles of charity, the paper offers a platform for clarification and resolution of the differences between the two perspectives. The outlined contextual approach occupies a middle ground between mainstream (...) history and sociology of science, bracketing questions of rationality, and individual coherence-maximizing, rationality-centered approaches. It can satisfy those, who believe that science is an epistemically privileged endeavor, and its epistemic content should not be neglected when reconstructing the scientists’ positions. It can also satisfy those who hold that it is naive to believe that the immediate context, e.g. the challenges to a theory, the expectations of the author about his audience, etc., does not affect the position a scientist takes. Its theoretical considerations are exemplified with a close study of the debate following the 1672 publication of Newton's theory of light and colours, also offering a novel reading of the development of his methodological views concerning the demonstrativity of the famous crucial experiment. Although we only show the capacity of the framework to analyze a direct controversy, given that it is hard to think about any scientific text as detached from an argumentative context, this approach has the potential to be a general guide for interpretation. (shrink)

ABSTRACTThis paper argues that Machiavelli's method, his inductive and comparative use of history and experience for political analysis, and his fashioning of historical-political analysis as ‘science’, played an important and still unrecognised role in his reception in the sixteenth century. It makes the case that Machiavelli's inductive reasoning and stress on historia and experientia offered a model for scientific method that open-minded sixteenth-century scholars, eager to understand, organise and augment human knowledge, could fit to their own epistemology. By focusing on (...) the question of method—a crucial issue for sixteenth-century contemporaries—the paper offers more than a key to the understanding of Machiavelli's positive reception. It also helps in apprehending the crucial importance of Lucretius to Machiavelli's scholarship; the role of the late Renaissance fascination with historia in his reception; and the breadth of appropriation of his method exactly in the decades when anti-Machiavellianism became official politics all over Europe. These claims are sustained through the cases of Machiavelli's early translators and promulgators; the French legal humanists and historiographers; the Swiss, Italian and French scholars engaging with medicine, Paracelsism and astronomy; the authors of political maxims from all over Europe; and finally Francis Bacon. (shrink)

Here we investigate the classes RCA $^\uparrow_\alpha$ of representable directed cylindric algebras of dimension α introduced by Nemeti[12]. RCA $^\uparrow_\alpha$ can be seen in two different ways: first, as an algebraic counterpart of higher order logics and second, as a cylindric algebraic analogue of Quasi-Projective Relation Algebras. We will give a new, "purely cylindric algebraic" proof for the following theorems of Nemeti: (i) RCA $^\uparrow_\alpha$ is a finitely axiomatizable variety whenever α ≥ 3 is finite and (ii) one can obtain (...) a strong representation theorem for RCA $^\uparrow_\alpha$ if one chooses an appropriate (non-well-founded) set theory as foundation of mathematics. These results provide a purely cylindric algebraic solution for the Finitization Problem (in the sense of [11]) in some non-well-founded set theories. (shrink)

In this short study, I attempt to reconstruct the main conceptual components of Edmund Husserl’s concept of death following the leading clue of his late transcendental phenomenological methodology. First, I summarise his thoughts on death, from the point of view of “the natural attitude”, as an event in the world. Then, I try and explore the manifold senses of the limit phenomenon of death as a multidimensional transcendental phenomenological problem in all of its intersubjective-world constitutive, personal-primordial, and metaphysical-constructive layers of (...) meanings, respectively. By doing so, I also hope that the path we travel can serve the reader as an opportunity for a personal and reflective confrontation with death. (shrink)

The uniform halting problem (UH) can be stated as follows.Give a decision procedure which for any given Turing machine (TM) will decide whether or not it has an immortal instantaneous description (ID).An ID is called immortal if it has no terminal successor. As it is generally the case in the literature (see e.g. Minsky [3, p. 118]) we assume that in an ID the tape must be blank except for some finite numbers of squares. If we remove this restriction the (...) UH becomes the immortality problem (IP). The UH should not be confused with the initialised uniform halting problem (whether or not a TM has an immortal ID when started in a specified state) which can easily be shown to be undecidable (see e.g. Minsky [3, p. 151]). (shrink)

Continuity as appears to us immediately by intuition differs from its current formalization, the arithmetical continuum or equivalently the set of real numbers used in modern mathematical analysis. Motivated by the known mathematical and physical problems arising from this formalization of the continuum, our aim in this paper is twofold. Firstly, by interpreting Chaitin’s variant of Gödel’s first incompleteness theorem as an inherent uncertainty or fuzziness of the arithmetical continuum, a formal set-theoretic entropy is assigned to the arithmetical continuum. Secondly, (...) by analyzing Noether’s theorem on symmetries and conserved quantities, we argue that whenever the four dimensional space-time continuum containing a single, stationary, asymptotically flat black hole is modeled by the arithmetical continuum in the mathematical formulation of general relativity, the hidden set-theoretic entropy of this latter structure reveals itself as the entropy of the black hole, indicating that this apparently physical quantity might have a pure set-theoretic origin, too. (shrink)

Deindustrialization is a major burden on workers’ health in many countries, calling for theoretically informed sociological analysis. Here, we present a novel neoclassical sociological synthesis of the lived experience of deindustrialization. We conceptualize industry as a social institution whose disintegration has widespread implications for the social fabric. Combining Durkheimian and Marxian categories, we show that deindustrialization generates ruptures in economic production, which entail job and income loss, increased exploitation, social inequality, and the disruption of services. These ruptures spill over to (...) the field of social reproduction, generating material deprivation, job strain, fatalism, increased domestic workload, anomie, community disintegration, and alienation. These ruptures in social reproduction are sources of psychosocial stress, through which deindustrialization gets embodied as ill health and dysfunctional health behavior. We substantiate this framework through the extensive qualitative thematic analysis of 82 life history interviews in Hungary’s rust belt. (shrink)

Play is not only a kind of activity, but also a set of attitudes. We may join a card game in a casino without assuming a play attitude; conversely we may transform a seemingly tedious action, such as a walk to the store, into a pleasant experience of spontaneous movements by adopting an attitude of play. Attitudes of Play is a comprehensive study of the persistent human tendency to bring a cheerful and good-humoured outlook to any kind of situation, including (...) the serious and the mundane. Gabor Csepregi offers a phenomenological description of forms of playfulness, showing how, time and again, our attitudes of play redefine and shape diverse activities and experiences – from teaching, healing, or worshipping to political conflict or walking down the street. With play attitudes, we exercise our freedom to colour these scenes or give them an altogether new form, evoking in us more refined sentiments and more acute perceptions. This book seeks to distinguish play activities from attitudes of play, showing that the latter hold value not merely for their educational or other instrumental benefits but also, and perhaps most importantly, for the overall fulfillment and well-being they offer in all stages of human existence. (shrink)

The new star of 1572 and the comet of 1577 had a major impact on the ways in which astronomical research developed in the late sixteenth and early seventeenth centuries. Behind this gradual but significant change there was an extended epistemological reform which placed increasing emphasis on reason and experience and strove to exclude arguments from Scripture and authority from scientific debate. This paper argues that the humanist debate on astrology after 1577, which was initiated by highly prestigious members of (...) a supraconfessional Republic of Letters, can be seen as an element of this process. Unlike earlier detractors of astrology, these new critics chiefly employed philosophical and scientific arguments concerning the legitimation of the entire art. By analysing a variety of accounts, this paper will reveal how great and complex the stakes in the debate over astrology were. They concerned not only the crucial problem of predestination and God’s interventionalism (hence also the possibility of miracles), but also the idea of science, the concept of the human mind, and ultimately the humanist ideal of the virtuous, rational, and responsible citizen. (shrink)

Olaf Müller’s book develops a new case for underdetermination, and, as he is focusing on theories of a ‘limited domain’, this assumes the containability of the theories. First, the paper argues that Müller’s theory of darkness is fundamentally Newtonian, but for Newton’s optical theory the type of theoretical structure Müller adopts is problematic. Second, the paper discusses seventeenth-century challenges to Newton, changes in the proof-structure of Newton’s optical theory, and how these affect Müller’s reconstruction. Müller’s book provides empirically equivalent theories, (...) yet the historical theories were not empirically equivalent, and the same experiments were used to extract different bodies of evidence to rebut the opponent. Third, Goethe’s multi-layered critique of Newton’s experimental proof is investigated, including his developmental account of prismatic colours, the role of experimental series in rejecting Newton’s observations, and his incorporation of the ‘limited domain’ of prismatic colours in a broader framework. Two key elements of Goethe’s method, polarity and strengthening are discussed in contrast to Müller, who only utilises polarity in his account. Finally Neurath’s attempts to come to grips with the optical controversies and the prism-experiments with ‘blurred edges’ are recalled. Müller also discusses in detail some of these experiments and heavily draws on Quine. Neurath developed Duhem’s and Poincaré’s conventionalist insights and had good reasons to be pessimistic about theory-containment. Their differences provide some additions to the history of the Duhem–Quine thesis. (shrink)

We show that there is a restriction, or modification of the finite-variable fragments of First Order Logic in which a weak form of Craig's Interpolation Theorem holds but a strong form of this theorem does not hold. Translating these results into Algebraic Logic we obtain a finitely axiomatizable subvariety of finite dimensional Representable Cylindric Algebras that has the Strong Amalgamation Property but does not have the Superamalgamation Property. This settles a conjecture of Pigozzi [12].

We study sincere-strategy preference-based approval voting (SP-AV), a system proposed by Brams and Sanver [1] and here adjusted so as to coerce admissibility of the votes (rather than excluding inadmissible votes a priori), with respect to procedural control. In such control scenarios, an external agent seeks to change the outcome of an election via actions such as adding/deleting/partitioning either candidates or voters. SP-AV combines the voters' preference rankings with their approvals of candidates, where in elections with at least two candidates (...) the voters' approval strategies are adjusted – if needed – to approve of their most-preferred candidate and to disapprove of their least-preferred candidate. This rule coerces admissibility of the votes even in the presence of control actions, and hybridizes, in effect, approval with pluralitiy voting. We prove that this system is computationally resistant (i.e., the corresponding control problems are NP-hard) to 19 out of 22 types of constructive and destructive control. Thus, SP-AV has more resistances to control than is currently known for any other natural voting system with a polynomial-time winner problem. In particular, SP-AV is (after Copeland voting, see Faliszewski et al. [2, 3]) the second natural voting system with an easy winner-determination procedure that is known to have full resistance to constructive control, and unlike Copeland voting it in addition displays broad resistance to destructive control (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim). (shrink)

Concepts are basic features of rationality. Debates surrounding them have been central to the study of philosophy in the medieval and modern periods, as well as in the analytical and Continental traditions. This book studies ancient Greek approaches to the various notions of concept, exploring the early history of conceptual theory and its associated philosophical debates from the end of the archaic age to the end of antiquity. When and how did the notion of concept emerge and evolve, what questions (...) were raised by ancient philosophers in the Greco-Roman tradition about concepts, and what were the theoretical presuppositions that made the emergence of a notion of concept possible? The volume furthers our own contemporary understanding of the nature of concepts, concept formation, and concept use. This title is part of the Flip it Open Programme and may also be available Open Access. Check our website Cambridge Core for details. (shrink)

Locke’s conception of substance in general or substratum has two relatively widespread interpretations. According to one, substance in general is the bearer of properties, a pure subject, something which sustains properties but itself has no properties. I will call this interpretation traditional, because it has already been formulated by Leibniz. According to the other interpretation, substance is general is something like real essence: an underlying structure which is responsible for the fact that certain observable properties form stable, recurrent clusters. I (...) will argue that both interpretation are partly right, and what is good in them can be reconciled. The traditional interpretation captures the purpose and signficanc of the idea of substance in general, i.e. the reason why Locke says we have this idea. The real essence view is right about the real world counterpart of the idea, i.e. what sort of entity the idea corresponds to. The paper starts with a review of the strengths and weaknesses of the rival interpretations (I, II). Then I examine which part of the traditional interpretation can be sustained in light of the problems it faces (III). Thereafter I will show that the part of the traditional interpretation which can be sustained cannot stand on its own and needs to be supplemented at one point, and the real essence view can provide what is needed. This, as it were, mixed interpretation will be supported by sketching an argument which is plausible within the context of Locke’s teachings and which explains how Locke could have arrived from the view which the traditional interpretation correctly attributes to him to the view which the real essence interpretation takes him to espouse (IV). The two problematic points in this argument will be taken up in the following two sections. (V, VI). Finally, I will provide some evidence from the Drafts for Locke’s identification of substance and essence (VII). (shrink)

The common cause principle says that every correlation is either due to a direct causal effect linking the correlated entities or is brought about by a third factor, a so-called common cause. The principle is of central importance in the philosophy of science, especially in causal explanation, causal modeling and in the foundations of quantum physics. Written for philosophers of science, physicists and statisticians, this book contributes to the debate over the validity of the common cause principle, by proving results (...) that bring to the surface the nature of explanation by common causes. It provides a technical and mathematically rigorous examination of the notion of common cause, providing an analysis not only in terms of classical probability measure spaces, which is typical in the available literature, but in quantum probability theory as well. The authors provide numerous open problems to further the debate and encourage future research in this field. (shrink)

We will study the class RSA of -dimensional representable substitution algebras. RSA is a sub-reduct of the class of representable cylindric: algebras, and it was an open problem in Andréka [1] that whether RSA can be finitely axiomatized. We will show, that the answer is positive. More concretely, we will prove, that RSA is a finitely axiomatizable quasi-variety. The generated variety is also described. We note that RSA is the algebraic counterpart of a certain proportional multimodal logic and it is (...) related to a natural fragment of first order logic, as well. (shrink)

We are easily misguided as to the true nature of Facebook, and tend to treat it simply as a powerful technological instrument in the service of human intentions. We can, however, gain a better picture of it through recourse to the Jewish tradition of the golem, an image of human beings, created by them in a re‐enactment of their own creation by God. It turns into a magic servant in modernity with an inherent dynamic running between its human and its (...) subhuman characteristics. This dynamic is the main cause behind its becoming uncontrollable. In like manner, what is subhuman in Facebook serves its masters and functions under their total control, but also empowers Facebook's increasingly human operation, an algorithm‐based capability which raises growing doubts about what counts as human. Facebook implies the crisis of humanity which coincides with the “death of God,” that is, the obsolescence of the idea of a divine creator. (shrink)

It has been fashionable in the generalist literature to argue that the Ottomans lacked knowledge in European geography and politics. This chapter first offers some comments regarding Istanbul's understanding of geography and environment in the context of Ottoman strategy and frontier warfare. The, it presents a short overview of the importance of rivers, marshlands and mountains with regard to the formation of the opposing Hapsburg and Ottoman defence systems in Hungary. The last part of the chapter deals with the relationship (...) between landscape, climate and fortifications and offers some preliminary results and tentative observations regarding deforestation and marshlands. The discussion also argues, although in somewhat different ways, that the Ottomans and their Hapsburg rivals both had a keen interest in geography and mapped their empires and resources, and possessed adequate information as to the terrain and river systems of their lands and frontiers. (shrink)