Nowadays, aesthetics are generally considered as a crucial aspect that affects the way we confront things, events, and states of affairs. However, the functional role of aesthetics in the interaction between agent and environment has not been addressed effectively. Our objective here is to provide an explanation concerning the role of aesthetics, and especially, of the aesthetic experience as a fundamental bodily and emotional activity in the respective interactions. An explanation of the functional role of the aesthetic experience could offer (...) new orientations to our understanding of embodied cognition and of aesthetics as a fundamental part of it. We argue that aesthetic experience, especially its emotional dimension, is an evaluative process that influences the anticipation for stable and successful interactions with the environment. In other words, aesthetics facilitates sense-making as they affect what might be anticipated by an action tendency with respect to an environment. (shrink)

This paper counters an objection raised against one of Bertrand Russell’s lesser-known epistemological views, viz. ‘‘structural realism’’ (SR). In short, SR holds that at most we have knowledge of the structure of the external (i.e., physical) world. M. H. A. Newman’s allegedly fatal objection is that SR is either trivial or false. I argue that the accusation of triviality is itself empty since it fails to establish that SR knowledge claims are uninformative. Moreover, appealing to Quine’s notion of ontological relativity, (...) I suggest that far from being false, SR knowledge claims seem to be the most that we can hope for. (shrink)

We investigate the impact of perceived greenwashing on customer satisfaction. Unlike prior research that largely examines customer perceptions associated with irresponsible behavior, we focus on cases where firms overcommit and/or do not deliver on promised socially responsible actions. We theorize that this type of greenwashing is associated with lower customer satisfaction because customers perceive greenwashing through the lens of corporate hypocrisy. Using data from the American Customer Satisfaction Index (ACSI) for U.S. companies during the period 2008–2016, we document a negative (...) link between perceived greenwashing related to green product innovation (GPI) and the ACSI index. We demonstrate that this effect is primarily triggered by corporate policies exceeding the corresponding implementation actions and not by lower levels of implementation. We also show that a firm’s capability reputation mitigates the negative effect of greenwashing on customer satisfaction. Moreover, we conduct an experiment and provide evidence confirming that GPI greenwashing is in fact perceived by customers as corporate hypocrisy. (shrink)

There is a strong tendency in science to opt for simpler and more unified hypotheses. A view that has often been voiced is that such qualities, though aesthetically pleasing or beautiful, are at best pragmatic considerations in matters of choosing between rival hypotheses. This essay offers a novel conception and an associated measure of unification, both of which are manifestly more than just pragmatic considerations. The discussion commences with a brief survey of some failed attempts to conceptualise unification. It then (...) proceeds to an analysis of the notions of confirmational connectedness and disconnectedness, as these are essential ingredients in the proposed conception of unification and its associated measure. Roughly speaking, the notions attempt to capture the way support flows or fails to flow between the content parts of a hypothesis. Equally roughly, the more the content of a hypothesis is confirmationally connected, i.e. support flows between its content parts, the more that content is unified. Since the confirmational connectedness of two content parts is determined by purely objective matters of fact, the proposed notion and measure of unification are themselves strictly objective, i.e. not merely pragmatic. The essay concludes with a discussion of how the proposed measure handles several examples but also how it relates to the debate over measures of coherence.En la ciencia hay una marcada tendencia a preferir las hipotesis mas simples y unificadas. Una opinion mantenida a menudo es que tales cualidades, aun siendo atractivas o esteticamente satisfactorias, constituyen consideraciones pragmaticas, a lo sumo, en el asunto de la eleccion entre teorias rivales. Este ensayo ofrece una concepcion novedosa de unificacion y una medida asociada a ella, ambas claramente algo mas que meras consideraciones pragmaticas. La discusion comienza con un breve repaso de algunos intentos fallidos de conceptualizar la unificacion. Despues se analizan las nociones de conexion y desconexion confirmacional, componentes esenciales en la nocion de unificacion y la medida asociada que aqui se proponen. Dicho brevemente, esas nociones pretenden captar el modo en que el apoyo discurre o no entre las partes del contenido de las hipotesis. Simplificando, cuanto mas conectado confirmacionalmente esta el contenido de una hipotesis, mas unificado esta. Dado que la conectividad confirmacional de dos partes del contenido esta determinada por cuestiones de hecho objetivas, la nocion y la medida que propongo son tambien estrictamente objetivas, esto es, su valor no es meramente pragmatico. El ensayo concluye con una discusion sobre como la medida propuesta afronta diversos ejemplos y sobre su relacion con el debate sobre las diferentes medidas de coherencia. (shrink)

Name der Zeitschrift: Byzantinische Zeitschrift Jahrgang: 107 Heft: 1 Seiten: 175-220.

Ovid's disclaimers in theArs Amatorianeed to be read in this context. My main argument is that, in his disclaimers, Ovid is rendering his female readership socially unrecognizable, rather than excluding respectable virgins andmatronaefrom his audience.Ars1.31–4, Ovid's programmatic statement about his work's target audience, is a case in point. A closer look at the passage shows that he does not necessarily warn off Roman wives and marriageable girls:este procul, uittae tenues, insigne pudoris,quaeque tegis medios instita longa pedes:nos Venerem tutam concessaque furta (...) canemusinque meo nullum carmine crimen erit. Ov.Ars Am.1.31–4Stay away, slender fillets, symbol of modesty,and you, long hem, who cover half the feet:we shall sing of safe sex and permitted cheatingand there will be no wrong in my song. (shrink)

Start-ups navigate complex challenges in today's business environment, requiring a delicate balance of economic, environmental, and social objectives for long-term success. This study investigates the pivotal factors within business models that drive sustained value creation for sustainability-focused start-ups. Through a comprehensive literature review encompassing environmental, social, and performance dimensions, we identify resilience as a primary component of sustainable decision-making, supported by adaptability and convenience. Emphasizing resilience and adaptability in decision-making processes enables sustainable start-ups to maintain competitive advantages while pursuing sustainability (...) goals. We advocate for a collaborative decision-making approach focused on long-term value creation through sustainability measures, providing a framework for developing or refining sustainable business models. Future research may further explore the identified success factors within sustainable start-ups. (shrink)

The way communicable diseases do spread from one person to another, depending upon the specific disease or causative infectious agent. Out of these diseases, some are incurable and the health care workers during their practice or otherwise acquire such infections and transmit them further to innocent patients who are unaware of about the health status of health care workers. The rights of an infected health care worker and patients are protected by many laws but in case of conflict of interests (...) between the individual right of the health care worker and life of a patient, then obviously by the principle of natural justice, saving the life of a person from such incurable infection gets the privilege. Therefore, there is a lot of ethical and professional dilemma, arising out, in such a type of scenario, irrespective of concealed or disclosed health status and the question mark is raised on whether clinical practice may be allowed in such cases. Some of the studies show the actual but very little risk of transmission from infected health care workers to patients. Therefore, in the current scenario, many western countries such as USA and UK are following different guidelines in this regard but the same is lacking in India. So, this article critically analyses the various issues arising out of it and thereby justifies the need to have a uniform infection control policy in this regard apart from legal and ethical binding on infected health care workers. (shrink)

Constantin Caratheodory offered the first systematic and contradiction free formulation of thermodynamics on the basis of his mathematical work on Pfaff forms. Moreover, his work on measure theory provided the basis for later improved formulations of thermodynamics and physics of continua where extensive variables are measures and intensive variables are densities. Caratheodory was the first to see that measure theory and not topology is the natural tool to understand the difficulties (ergodicity, approach to equilibrium, irreversibility) in the Foundations of Statistical (...) Physics. He gave a measure-theoretic proof of Poincaré's recurrence theorem in 1919. This work paved the way for Birkhoff to identify later ergodicity as metric transitivity and for Koopman and von Neumann to introduce spectral analysis of dynamical systems in Hilbert spaces. Mixing provided an explanation of the approach to equilibrium but not of irreversibility. The recent extension of spectral theory of dynamical systems to locally convex spaces, achieved by the Brussels–Austin groups, gives new nontrivial time asymmetric spectral decompositions for unstable and/or non-integrable systems. In this way irreversibility is resolved in a natural way. (shrink)

Science is increasingly becoming automated. Tasks yet to be fully automated include the conjecturing, modifying, extending and testing of hypotheses. At present scientists have an array of methods to help them carry out those tasks. These range from the well-articulated, formal and unexceptional rules to the semi-articulated and variously understood rules-of-thumb and intuitive hunches. If we are to hand over at least some of the aforementioned tasks to machines, we need to clarify, refine and make formal, not to mention computable, (...) even the more obscure of the methods scientists successfully employ in their inquiries. The focus of this essay is one such less-than-transparent methodological rule. I am here referring to the rule that ad hoc hypotheses ought to be spurned. This essay begins with a brief examination of some notable conceptions of ad hoc-ness in the philosophical literature. It is pointed out that there is a general problem afflicting most such conceptions, namely the intuitive judgments that are supposed to motivate them are not universally shared. Instead of getting bogged down in what ad hoc-ness exactly means, I shift the focus of the analysis to one undesirable feature often present in alleged cases of ad hoc-ness. I call this feature the ‘monstrousness’ of a hypothesis. A fully articulated formal account of this feature is presented by specifying what it is about the internal constitution of a hypothesis that makes it monstrous. Using this account, a monstrousness measure is then proposed and somewhat sketchily compared with the minimum description length approach. (shrink)

A question in the philosophy of science that has engrossed the minds of many eminent thinkers is the epistemological one of what kind of knowledge, if any, science reveals of the physical world. Answers to this question are typically classified as either realist or anti-realist.1 Structural Realism, as part of its name suggests, is a position on the realist side of the divide. In very simple terms, its advocates hold that our epistemic access to the world, so far as its (...) non-observable part is concerned, is restricted to its structural features. The position can be traced back at least to the beginning of the twentieth century and has recently been attracting renewed interest. (shrink)

Hegel’s Science of Logic is widely acknowledged as one of the greatest works of European philosophy. However, its contribution to arguably the most important philosophical problem, Pyrrhonian scepticism, has never been examined in any detail. Pyrrhonian Scepticism and Hegel's Theory of Judgement fills a great lacuna in Hegel scholarship by convincingly proving that the dialectic of the judgement in Hegel’s Science of Logic successfully refutes this kind of scepticism. Although Ioannis Trisokkas has written the book primarily for those students (...) of philosophy who already have an interest in Hegel’s epistemology and philosophy of language and/or his Science of Logic, it will also appeal to those who investigate the problem of scepticism independently of the Hegel corpus. (shrink)

In this dissertation, I examine a view called ‘Epistemic Structural Realism’, which holds that we can, at best, have knowledge of the structure of the physical world. Put crudely, we can know physical objects only to the extent that they are nodes in a structure. In the spirit of Occam’s razor, I argue that, given certain minimal assumptions, epistemic structural realism provides a viable and reasonable scientific realist position that is less vulnerable to anti-realist arguments than any of its rivals.

In a recent PSA paper (2001a) as well as some other papers ((1995), (2000), (2001b)) and a book chapter (1999, ch. 7), Stathis Psillos raised a number of objections against structural realism. The aim of this paper is threefold: 1) to evaluate part of Psillos’ offence on the Russellian version of epistemic structural realism (ESR for short), 2) to elaborate more fully what Russellian ESR involves, and 3) to suggest improvements where it is indeed failing.

The aim of this paper is to put in place some cornerstones in the foundations for an objective theory of confirmation by considering lessons from the failures of predictivism. Discussion begins with a widely accepted challenge, to find out what is needed in addition to the right kind of inferential–semantical relations between hypothesis and evidence to have a complete account of confirmation, one that gives a definitive answer to the question whether hypotheses branded as “post hoc monsters” can be confirmed. (...) The predictivist view is then presented as a way to meet this challenge. Particular attention is paid to Worrall’s version of predictivism, as it appears to be the most sophisticated of the lot. It is argued that, despite its faults, his view turns our heads in the right direction by attempting to remove contingent considerations from confirmational matters. The demand to remove such considerations becomes the first of four cornerstones. Each cornerstone is put in place with the aim to steer clear of the sort of failures that plague various kinds of predictivism. In the process, it becomes obvious that the original challenge is wrongheaded and in need of revision. The paper ends with just such a revision. (shrink)

Scientific realists endeavour to secure inferences from empirical success to approximate truth by arguing that despite the demise of empirically successful theories the parts of those theories responsible for their success do in fact survive theory change. If, as some anti-realists have recently suggested, those parts of theories that are responsible for their success are only identifiable in retrospect, namely as those that have survived, then the realist approach is trivialised for now success and survival are guaranteed to coincide. The (...) aim of this paper is to counter this argument by identifying successful theory parts independently from their survival. (shrink)

This book explores the way in which the fear of enemies shapes political groups at their founding and helps to preserve them by consolidating them in times of crisis. It develops a theory of “negative association” that examines the dynamics captured by the maxim “The enemy of my enemy is my friend” and then traces its role in the history of political thought, demonstrating that the fear of external threats is an essential element of the formation and preservation of political (...) groups and that its absence renders political association unsustainable. (shrink)

Speculative logical theory, as provided in Hegel’s Science of Logic, consists of three main parts: the logic of being, the logic of essence, and the logic of the concept. The peculiar character of each logic’s starting point determines the most general character of each logic’s development. The present paper aims at making explicit the character of the starting-point of the third logic, the logic of the concept. This starting-point is exemplified by the category of universality. It is shown (a) that (...) the fundamental determination of this category is the harmonious unit y of self-identity and full determinacy and (b) that this unity has necessarily the logical structure of “double shining.” The latter is described in detail and justification is provided as to why it is preferred from “single shining.” I conclude the paper by defending the structure of “double shining” against certain objections raised against it by Friedrike Schick and Christian Iber. (shrink)

The plague of 541–542 ad started in Pelusium, a town in Egypt, and reached Constantinople in 542 ad. The following series summarizes the event and its repeated appearance until 746 ad.

Long before Prospect Theory and Loss Aversion Theory, Thomas Hobbes’s account of self-interest and risk assessment formed the basis of a powerful argument for the benefits of negative appeals. Dismissing the pursuit of highest and final goods as inherently incapable of yielding collective action, Hobbes proposed a method focusing instead on the highest evil, something that individuals with different goals could agree on as a barrier to their respective pursuits. In his own theory, that evil was violent death in the (...) dystopian setting of his notorious state of nature. The staying power of Hobbes’s memorable image itself validates Hobbes’s rationale and offers important reminders regarding the limits of utopian appeals to collective action. (shrink)

ABSTRACTThe affinities between Jean Bodin's and King James VI/i's political theories have been recognized, and the fact that James had owned Bodin's Six livres de la république has been recorded, but Bodin's specific influence on James has remained nebulous. This article examines the evidence for James's direct engagement with Bodin, by studying James's copy of the Six livres alongside James's political treatises. It provides substantial new archival evidence for Bodin's influence on James's political thought and, thereby, on Scottish and English (...) theories of sovereignty. (shrink)

Most people assume that the natural resources of a country belong to its people. Theorists of cosmopolitan resource justice have recently questioned this assumption, arguing that extensive rights of peoples over natural resources cannot be justified. In response, defences of peoples’ resource rights, grounded in the value of self-determination, have been tepid. This paper argues against both positions. It advances the distinct thesis that popular resource sovereignty is justified as the resource rights allocation that maximizes well-being. This consequentialist account provides (...) superior normative foundations for peoples’ resource rights. (shrink)

It has recently been objected that structural realism, in its various guises, is unable to adequately account for causal phenomena (see, for example, Psillos 2006). In this talk, I consider whether structural realism has the resources to address this objection.

The concern with the objectivity of observations is as old as empirical study itself. Protagoras’ assertion that ‘Man is the measure of all things’, though not particularly directed at observations, raised general doubts concerning the objectivity of our beliefs. In the twentieth century, the concern has been brought under the banner ‘theory-ladenness of observation’. In simple terms, since observations are conducted and formulated in theory-specific contexts, they are inadvertently imbued with the prejudices of those contexts - the terms ‘theory’ and (...) ‘observation’ are here broadly construed. Accordingly, it is argued, observations cannot be neutral in the testing of theories. (shrink)

An integral part of the schooling of scientists, especially experimental ones, is the cultivation of the significance and role of scientific evidence. Naturally this schooling is not conducted in vacuuo. Budding scientists already have experiences of, and intuitions about, the use of evidence in everyday life. In this talk I take a sustained look at the relations between common-sense notions of evidence and scientific ones. Among other things, I argue that scientific notions of evidence and associated practices are in many (...) ways conservative extensions of what is best about our common-sense notions and practices. This contradicts a rather widely held but often tacit view that science and its notions are largely insular. (shrink)

This chapter traces the development of structural realism within the scientific realism debate and the wider current of structuralism that has swept the philosophy of the natural sciences in the twentieth century.1 The primary aim is to make perspicuous the many manifestations of structural realism and their underlying claims. Among other things, I will compare structural realism’s various manifestations in order to throw more light onto the relations between them. At the end of the chapter, I will identify the main (...) objections raised against the epistemic form of structural realism. This last task will pave the way for the evaluation of the structural realist answer to the main epistemological question, an evaluation that will be central to the rest of this dissertation. (shrink)

The present article reports several applied experiments in the generation of aesthetic forms from algorithms and data. In these experiments algorithms and data are the driving morphogenetic force to such an extent that the role of the human creator must be reexamined case-by-case. Artists that program the graphics or sound generating algorithms may in turn be said to be programmed perceptually by the resulting artworks, in the sense that they must adapt their perception in a conscious or involuntary effort to (...) detect or project meaning in their form. While forms generated by algorithms or data are to a large extent unpredictable, an intimate relationship between programmer, performer/listener/viewer and the piece is created through instinctive, empirical familiarity with the tools and the creative process, which is afforded by the immediate and highly interactive nature of the frameworks employed. A simple iterative algorithm that produces a novel kind of chaotic geometric shapes is presented. Examples of an application of Paul Klee’s principles of visual form in programming interactive audio-visual dance performance are given. These principles are directly derived from the language-based metaphor of active, medial and passive voice. Finally, ongoing experiments in letting language structures emerge from data derived from a sound database are presented. (shrink)

Structural realists of nearly all stripes endorse the structural continuity claim. Roughly speaking, this is the claim that the structure of successful scientific theories survives theory change because it has latched on to the structure of the world. In this paper I elaborate, elucidate and modify the structural continuity claim and its associated argument. I do so without presupposing a particular conception of structure that favours this or that kind of structural realism. Instead I focus on how structural realists can (...) best account for the neutrally formulated historical facts. The result, I hope, crystallises some of the shared commitments, desiderata and limits of structural realists. (shrink)

Robert B. Pippin's new book, The Culmination: Heidegger, German Idealism, and the Fate of Philosophy (hereafter The Culmination), which discusses Heidegger's ‘confrontation’ with Kant, Hegel and the other German idealists, is, like all his books, an exemplarily researched, thoughtful and thought-provoking text. Pippin has the rare ability to painstakingly lead his readers to the core of a philosophical dispute without ever losing their interest. The Culmination will undoubtedly shape any future research on Heidegger's take on Kant and the German idealists.

In this paper, I investigate two potential ways to experimentally test the thesis that observation is theory-laden. One is a proposal due to Schurz (J Gen Philos Sci 46:139–153, 2015) and the other my own. The two are compared and found to have some features in common. One such feature is that both proposals seek to create conditions that compel test subjects with diverse theoretical backgrounds to resort to bare (or at least as bare as possible) observational judgments. Thus, if (...) judgments made under those conditions are convergent across test subjects, the said convergence would lend credibility to the view that theory-neutral observations are feasible. This still leaves the question of why any such convergence exists unanswered. Towards the end of the paper, it is argued that the best explanation for observational judgment convergence is the veridicality of those judgments. (shrink)

For Heidegger, Hegel understands being, ‘the highest actuality’, as the categories which pervade and thereby form all objects and events. Since, Heidegger argues, the categories are, in Hegel, present-at-hand, Hegel conceives of being as presence-at-hand. This is a problem, for Heidegger, because it entails the full transparency and knowability of being, whereas, in his view, being is partially hidden and unknowable. I consider the objection to this Heideggerian critique of Hegel that Hegelian logic understands being not only as the list (...) of categories but also as their derivation and movement from pure being to the absolute idea, which (derivation and movement) establish being not only as presence but also as implication. Since being-as-implication is (a) not presence-at-hand and (b) necessary to being, it cannot be said that Hegel's account of being turns it into full transparency and knowability. Heidegger's critique should, therefore, be rejected. I argue that this objection is unsuccessful because there is strong evidence in the Logic that Hegel ‘subordinates’ being-as-implication to presence-at-hand. Implication's way of being is, in Hegel, only a collapse into presence-at-hand and hence ‘merely a modification of presence’. Consequently, Heidegger's critique of Hegel should not be rejected based on the objection. I conclude the article with a remark on the relation between language and being-as-implication. I argue that Hegel's account of being-as-implication in language disrespects the autonomy of being-as-implication therein and that Haas's argument for such an autonomy based on the phenomenon of the syntactic ellipsis of ‘is’ fails to undermine Hegel's account. (shrink)

Starting from a teleological understanding of the rule of law, this article argues that private power is a rule of law concern as much as public power. One way of applying the rule of law to private power would be to limit instances of ‘lawlessness’ and arbitrariness through formal requirements and procedural guarantees. However, we argue that private power is, to a significant extent, constituted by law in the first place – and that its lawful exercise is no less pernicious (...) than its unlawful exercise. Drawing on this constitutive function of law, we propose a normative core of the rule of law grounded on the moral equality of individuals. Attention to individuals’ needs, capabilities, and public autonomy points to requirements of distributive justice and democratic participation as part of the power-conferring function of law. Through a discussion of contestations of fossil fuel policy, the article shows the critical and empowering potential of a reconfigured rule of law. (shrink)

In his "Hegel’s Phenomenology of Spirit," which includes his 1930-31 lectures on the "Phenomenology of Spirit," Heidegger states not only that Hegelian phenomenology “begins absolutely with the absolute,” but also that this phenomenological beginning is a necessary beginning of Hegel’s “system of science.” Although Heidegger acknowledges that the “proper” or “appropriate” beginning or “ground” of this system is the logical beginning (the beginning posited by Hegelian logic), he insists not only that there is also a second beginning of the system, (...) namely the one provided by the "Phenomenology of Spirit," but also that this beginning is necessary. Thus, Heidegger subscribes to the paradoxically-sounding thesis that Hegel’s system of science must have two beginnings. The present paper attempts, first, to flesh out this thesis (§§2-4), and, second, to uncover Heidegger’s argument for (or justification of) the claim that the phenomenological beginning is necessary to the Hegelian system of science (§§5-6). (shrink)

Arguments against epistemic akrasia have been met with counterexamples from the higher-order evidence literature. Here, I present two counterarguments to address these challenges. Firstly, the attitude reclassification argument disentangles reason-responsiveness from the constraints of evidentialism and allows for the adoption of conflicting propositions by coherent doxastic attitudes. Secondly, the failure reclassification argument demystifies the loss of doxastic control in purported cases of epistemic akrasia by appealing to the more comprehensive and distinct phenomenon of self-deception.

In this paper, we explore certain exemplifications of transgression in the history and philosophy of mathematics. We recognize transgressive acts in the transition from a “real” to an “imaginary” world. Further, we suggest the concept of proof-events that transgress traditional concepts of mathematical proof. The theory of proof-events provides us with means to identify transgressive acts in the development of a discovery proof-event. These concern the creative understanding of a purported mathematical proof by reconstructing the meaning conveyed by it, eventually (...) supplementing it, surpassing stylistic hindrances in the narrative formulated by a prover, exceeding the boundaries of the (local) logic of a prover, etc. Finally, we identify transgressive acts with discontinuous points of change in the development of proof-events and suggest formal measures for their recognition. (shrink)

ExtractDuring the second half of the twentieth century an attention of historians of mathematics shifted to mathematics of the Late Antiquity and its subsequent development by mathematicians of the Arabic world. Many critical editions of works of mathematicians of the Hellenistic era have made their appearance, giving rise to a new, more detailed historical picture. Among these are the critical editions of the works of Diophantus, Apollonius, Archimedes, Pappus, Diocles, and others.Send article to KindleTo send this article to your Kindle, (...) first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.The Readings of Apollonius' On the Cutting off of a RatioVolume 22, Issue 1Ioannis M. Vandoulakis DOI: https://doi.org/10.1017/S0957423911000130Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. The Readings of Apollonius' On the Cutting off of a RatioVolume 22, Issue 1Ioannis M. Vandoulakis DOI: https://doi.org/10.1017/S0957423911000130Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. The Readings of Apollonius' On the Cutting off of a RatioVolume 22, Issue 1Ioannis M. Vandoulakis DOI: https://doi.org/10.1017/S0957423911000130Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)