Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th–16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science — in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.

The Rachels–Temkin spectrum arguments against the transitivity of better than involve good or bad experiences, lives, or outcomes that vary along multiple dimensions—e.g., duration and intensity of pleasure or pain. This paper presents variations on these arguments involving combinations of good and bad experiences, which have even more radical implications than the violation of transitivity. These variations force opponents of transitivity to conclude that something good is worse than something that isn’t good, on pain of rejecting the good altogether. That (...) is impossible, so we must reject the spectrum arguments. (shrink)

Totalism is the view that one distribution of well-being is better than another just in case the one contains a greater sum of well-being than the other. Many philosophers, following Parfit, reject totalism on the grounds that it entails the repugnant conclusion: that, for any number of excellent lives, there is some number of lives that are barely worth living whose existence would be better. This paper develops a theory of welfare aggregation—the lexical-threshold view—that allows totalism to avoid the repugnant (...) conclusion, as well as its analogues involving suffering populations and the lengths of individual lives. The theory is grounded in some independently plausible views about the structure of well-being, identifies a new source of incommensurability in population ethics, and avoids some of the implausibly extreme consequences of other lexical views, without violating the intuitive separability of lives. (shrink)

Objective interpretations of probability are usually discussed in two varieties: frequency and propensity accounts. But there is a third, neglected possibility, namely, probabilities as deriving from ranges in suitably structured initial state spaces. Roughly, the probability of an event is the proportion of initial states that lead to this event in the space of all possible initial states, provided that this proportion is approximately the same in any not too small interval of the initial state space. This idea can also (...) be expressed by saying that in the types of situations that give rise to probabilistic phenomena we may expect to find an initial state space such that any "reasonable" density function over this space leads to the same probabilities for the possible outcomes. This "method of arbitrary functions" was introduced by Poincaré, studied and extended by Hopf and more recently by Eduardo Engel, Jan von Plato and Michael Strevens. The natural-range, or method-of-arbitrary-functions approach to probabilities is usually treated as an explanation for the occurrence of probabilistic patterns, whereas I examine its prospects for an objective interpretation of probability, in the sense of providing truth conditions for probability statements that do not depend on our state of mind or information. The main objection to such a proposal is that it is circular, i.e. presupposes the concept of probability, because a measure on the initial state has to be introduced, and density functions over the space are considered. I try to argue that this objection can be successfully met. (shrink)

Matthew Adler's Measuring Social Welfare is an introduction to the social welfare function (SWF) methodology. This essay questions some ideas at the core of the SWF methodology having to do with the relation between the SWF and the measure of well-being. The facts about individual well-being do not single out a particular scale on which well-being must be measured. As with physical quantities, there are multiple scales that can be used to represent the same information about well-being; no one scale (...) is special. Like physical laws, the SWF and its ranking of distributions cannot depend on exactly which of these scales we use. Adler and other theorists in the SWF tradition have used this idea to derive highly restrictive constraints on the shape of the SWF. These constraints rule out seemingly plausible views about distributive justice and population ethics. I argue, however, that these constraints stem from a simple but instructive mistake. The SWF should not be applied to vectors of numbers such as 1 and 2, but rather to vectors of dimensioned quantities such as 1 util and 2 utils. This seemingly pedantic suggestion turns out to have far-reaching consequences. Unlike the orthodox SWF approach, treating welfare levels as dimensioned quantities lets us distinguish between real changes in well-being and mere changes in the unit of measurement. It does this without making the SWF depend on the scale on which welfare is measured, and in a way that avoids the restrictive constraints on the shape of the SWF. (shrink)

Is well-being the kind of thing that can be summed across individuals? This paper takes a measurement-theoretic approach to answering this question. To make sense of adding well-being, we would need to identify some natural "concatenation" operation on the bearers of well-being that satisfies the axioms of extensive measurement and can therefore be represented by the arithmetic operation of addition. I explore various proposals along these lines, involving the concatenation of segments within lives over time, of entire lives led alongside (...) one another or in sequence, and of evaluatively basic propositions via conjunction. All of these proposals turn out to carry highly controversial commitments about the good. I do not claim that these commitments are unacceptable. But they suggest that we cannot simply take for granted, as many philosophers do, that there is any such thing as the sum of well-being. (shrink)

A conception of probability that can be traced back to Johannes von Kries is introduced: the “Spielraum” or range conception. Its close connection to the so-called method of arbitrary functions is highlighted. Possible interpretations of it are discussed, and likewise its scope and its relation to certain current interpretations of probability. Taken together, these approaches form a class of interpretations of probability in its own right, but also with its own problems. These, too, are introduced, discussed, and proposals in response (...) to them are surveyed, some of which also go back to von Kries. (shrink)

This volume is a study of the relationship between philosophy and faith in Søren Kierkegaard's Philosophical Fragments. It is also the first book to examine the role of Socrates in this body of writings, illuminating the significance of Socrates for Kierkegaard's thought. Jacob Howland argues that in the Fragments, philosophy and faith are closely related passions. A careful examination of the role of Socrates demonstrates that Socratic, philosophical eros opens up a path to faith. At the same time, the (...) work of faith - which holds the self together with that which transcends it - is essentially erotic in the Socratic sense of the term. Chapters on Kierkegaard's Johannes Climacus and on Plato's Apology shed light on the Socratic character of the pseudonymous author of the Fragments and the role of 'the god' in Socrates' pursuit of wisdom. Howland also analyzes the Concluding Unscientific Postscript and Kierkegaard's reflections on Socrates and Christ. (shrink)

I argue that comparisons of Stoic virtue to stochastic skills — now standard in the secondary literature on Stoicism — are based on a misreading of the sources and distort the Stoic position in two respects. In paradigmatic stochastic skills such as archery, medicine, or navigation the value of the skill’s external end justifies the existence and practice of the skill and constitutes an appropriate focus of rational motivation. Neither claim applies to virtue as the Stoics understand it. The stochastic (...) model of virtue almost certainly originated with Carneades and should be distinguished clearly from the Stoic account. Doing so clarifies the Stoic position and shows that it anticipates what Thomas Hurka calls a modern view of value. (shrink)

Recent research indicates that compensation structure can be used by firms to discourage their employees from whistleblowing. We extend the ethics literature by examining how compensation structures and financial rewards work together to influence managers’ decisions to blow the whistle. Results from an experiment indicate that compensation with restricted stock, relative to stock payments that lack restrictions, can enhance the likelihood that managers will blow the whistle when large rewards are available. However, restricted stock can also threaten the effectiveness of (...) whistleblowing systems without the presence of large financial rewards for whistleblowing. Thus, the large potential rewards for whistleblowing enacted by the Dodd–Frank Act appear timely as firms are moving toward compensation agreements that include greater proportions of restricted stock. (shrink)

In engaging five of Plato's dialogues—Theaetetus, Euthyphro, Cratylus, Sophist, and Statesman—and by paying particular attention to Socrates' intellectual defense in the "philosophic trial" by the Stranger from Elea, Jacob Howland illuminates Plato's understanding of the proper relationship between philosophy and politics. This insightful and innovative study illustrates the Plato's understanding of the difference between sophistry and philosophy, and it identifies the innate contradictions of political philosophy that Plato observed and remain entrenched within the field to this day. This is (...) essential reading for anyone interested in the past, present, and future of political philosophy. (shrink)

Panpsychism is a solution to the mind-body problem that presumes that consciousness is a fundamental aspect of reality instead of a product or consequence of physical processes (i.e., brain activity). Panpsychism is an elegant solution to the mind-body problem: it effectively rids itself of the explanatory gap materialist theories of consciousness suffer from. However, many theorists and experimentalists doubt panpsychism can ever be successful as a scientific theory, as it cannot be empirically verified or falsified. In this paper, I present (...) a panpsychist model based on the controversial idea that consciousness may be a so called higher physical dimension. Although this notion seems outrageous, I show that the idea has surprising explanatory power, even though the model (as most models) is most likely wrong. Most importantly, though, it results in a panpsychist model that yields predictions that can be empirically verified or falsified. As such, the model's main purpose is to serve as an example how a metaphysical model of consciousness can be specified in such a way that they can be tested in a scientifically rigorous way. (shrink)

As the World Anti-Doping Code is up for revision, the paper proposes a framework for reading the Code based on a relatively literal approach and an almost exclusive focus on the ?spirit of sport? as a key element of the Code. The author argues that this single element can contribute to revealing the underlying rationale of the Code, as it serves to justify bans of doping substances and methods, in some cases without recurring to evidence sustaining the claims made. For (...) a substance/method to be banned, the Code requires that two out of three criteria be met: performance enhancement, health risk and the spirit of sport. The paper demonstrates how these provisions link to other parts of the Code, (under the rules of the Code 2009) in the absence of performance-enhancing properties combined with a health risk. The paper draws implications from these findings regarding terminological (im)precision, legal certainty/predictability, transparency/accountability, limits to arbitrary exercise of power and internal/external validity. (shrink)

This article raises problems both for the view that safe belief is necessary for knowledge and for the view that it is sufficient. Focusing on ‘meta‐epistemic beliefs,’ or beliefs about the epistemic status of one's own beliefs, it is shown that the necessity claim has counterintuitive implications and that the sufficiency claim implies a contradiction. It is then shown that meta‐epistemic beliefs raise similar problems for a wide range of accounts of knowledge, and hence that they provide a powerful test (...) for theories of knowledge. (shrink)

This study investigates factors impacting perceptions of ethical conduct of peers of 293 students in four US universities. Self-reported ethical behavior and recognition of emotions in others (a dimension of emotional intelligence) impacted perception of ethical behavior of peers. None of the other dimensions of emotional intelligence were significant. Age, Race, Sex, GPA, or type of major (business versus nonbusiness) did not impact perception of ethical behavior of peers. Implications of the results of the study for business schools and industry (...) professionals are discussed. (shrink)

How should we incorporate algorithms into humanistic scholarship? The typical approach is to clone what humans have done but faster, extrapolating expert insights to landfills of source material. But creative scholars do not clone tradition; instead, they produce readings that challenge closely held understandings. We theorize and then illustrate how to construct bad robots trained to surprise and provoke. These robots aren’t the most human but rather the most alien—not tame but dangerous. We explore the relationship between the reproduction of (...) tradition and the generation of surprise and then show how formalizing a particular humanistic theory as a Bayesian prior allows us to identify readings that disrupt it through a process of algorithmic abduction. Among the exploding universe of surprising (and mostly ridiculous) possible readings, algorithmic efficiency allows us to select readings that nonetheless garner substantial support from the total archive and so merit interpretation and engagement. It is in such interaction between alien and human readers that meaning is made and understanding disturbed; it is by extending alien readings to novel texts that the scholarly community tests the value of those readings. (shrink)

Contractualism, the view that morality is to be grounded on an hypothetical agreement among rational agents, is a very plausible conception for the justification of morality under modern circumstances. No metaphysical assumptions are made, morality is supposed to be erected on undisputed, minimal foundations. However, contractualists generally underestimate or downplay the degree to which their idea allows to convert might into right. This is shown exemplarily by an examination of the conceptions of David Gauthier and Peter Stemmer. A more realistic (...) variety of contractualism would admit that, depending on contingent circumstances, idiosyncratic or massively discriminating moral principles can easily be part of the hypothetical agreements. (shrink)

"Jacob Howland's book is an engaging, readable, and extremely suggestive addition to the literature on Plato's magnum opus." --Ancient Philosophy.

Using video recordings of draft meetings conducted as part of an intramural basketball program as data, this conversation analytic study examines the use of an incomplete utterance in a joint evaluative activity. In particular, we focus on how the participants, volunteer coaches, who meet to draft players for their respective teams, produce a syntactically incomplete utterance as a means to critically assess a player, a non-present third party to the interaction. Analysis reveals that the participants use an incomplete utterance as (...) part of dispreferred design; it allows them to withhold articulating overt criticism of others. By trailing off where the criticism is due, the participants display reluctance to verbalize what is to be said and treat its articulation as delicate. The syntactic structure of the utterance that includes a contrastive conjunction and accompanying embodied actions such as head shakes help them convey a critical stance. We examine the use of incomplete utterances in both agreement and disagreement sequences; the recipients display their unproblematic understanding of the critical assessment and respond by providing their own assessments that either affiliate or disaffiliate with the conveyed critical stance. (shrink)

This chapter contains sections titled: The Fact of Reasons Prudential Reasons and Personal Identity Reasons of Beneficence Impartial Reasons and Morality Conclusion References.

Originally published in 1970. This work evaluates the appeal to the sensually given which played an important role in epistemological discussions during the early 20 th Century. While many contemporary philosophers regarded this appeal as a mistake, there were still some who defended the notion of the given and even made it the foundation of their views regarding perception. The author here points to several different views concerning the nature of the sensually given and argues that the issue between them (...) is not empirical, as is naturally suggested by what he calls ‘the Naïve View’ of the dispute, but rather metaphysical, involving different theories regarding the relationship between Thought and Reality. This leads on to a discussion of the different views presently held regarding the task of the epistemologist, and to a new suggestion with regard to the relationship between common sense and the rival ontologies suggested by scientists and philosophers. In the course of the argument a variety of different topics are discussed such as the correspondence and coherence theories of truth, the differences between scientific and philosophical theories, and the relevance of scientific treatments of the subject of perception to the treatment of this topic by philosophers. (shrink)

This article examines the history of cybernetics in France, and the history of French cybernetics in the context of the emergent field of the history of cybernetics. Drawing upon an unfamiliar group of intellectuals and sources, I discuss the way in which French cybernetics was not primarily the hyper-philosophical strain we have come to associate with names such as Derrida and Lévi-Strauss, but an approach to thinking through political and social problems that some on the left would even deign to (...) call pragmatic. In particular, I follow a group of intellectuals known as the Groupe des dix, who, in the aftermath of the tumult of May ‘68, formed an interdisciplinary think tank to try to work out how to bridge the gap between science and society. In order to facilitate conversations between politicians, philosophers, biologists, and sociologists (to name just a few of the represented disciplines), the Groupe reached for a language that was supposed to be truly omnidisciplinary: that of cybernetics. And they did so in a country where cybernetics was not properly represented as a laboratory science. On this last point, this paper makes an addition to the history of cybernetics by offering a portrait not of cybernetics in action, but of cybernetics in vulgarization. Not that the Groupe would not make their own stamp on politics: Several of them still hold significant power in adjudicating the role of science and technology in the public sphere in the French state. (shrink)

This paper is about teaching philosophy to high school students through Lincoln-Douglas (LD) debate. LD, also known as “values debate,” includes topics from ethics and political philosophy. Thousands of high school students across the U.S. debate these topics in class, after school, and at weekend tournaments. We argue that LD is a particularly effective tool for teaching philosophy, but also that LD today falls short of its potential. We argue that the problems with LD are not inevitable, and we offer (...) strategic recommendations for improving LD as a tool for teaching philosophy. Ultimately, our aim is to create a dialogue between LD and academic philosophy, with the hope that such dialogue will improve LD’s capacity to teach students how to do philosophy. (shrink)