The notion of Socratic Note Taking is introduced to enhance students’ learning from assigned readings. SNT features students asking questions and answering their own questions while doing the readings. To test the effectiveness of SNT, half the students from two sections of a philosophy course were assigned SNT on alternating weeks. Quizzes each week alternated between the two classes as either high or low stakes in a counterbalanced format. The design was a 2 x 2 x 2 within-participants factorial. On (...) ten-point quizzes, SNT made an average difference of 1.22 points. Furthermore, the results indicate that SNT is particularly effective with weaker students, e.g., we found a nearly three-point increase on ten-point quizzes for the weakest students. (shrink)

David Bronstein sheds new light on Aristotle's Posterior Analytics--one of the most important, and difficult, works in the history of western philosophy--by arguing that it is coherently structured around two themes of enduring philosophical interest: knowledge and learning. He argues that the Posterior Analytics is a sustained examination of scientific knowledge, an elegantly organized work in which Aristotle describes the mind's ascent from sense-perception of particulars to scientific knowledge of first principles. Bronstein goes on to highlight Plato's (...) influence on Aristotle's text, and argues against current orthodoxy that Aristotle is committed to the Socratic Picture of inquiry, according to which one should seek what a thing's essence is before seeking its demonstrable attributes and their causes. (shrink)

Abstract In Posterior Analytics II.19 Aristotle raises and answers the question, how do first principles become known? The usual view is that the question asks about the process or method by which we learn principles and that his answer is induction. I argue that the question asks about the original prior knowledge from which principles become known and that his answer is perception. Hence the aim of II.19 is not to explain how we get all the way to principles but (...) to defend the claim that our knowledge of them originates in perception. Aristotle explains how we learn principles earlier in book II, in his account of definitional inquiry. In II.19 he explains how we reach by induction the preliminary accounts necessary for such inquiries. (shrink)

Plato in the Meno is standardly interpreted as committed to condition innatism: human beings are born with latent innate states of knowledge. Against this view, Gail Fine has argued for prenatalism: human souls possess knowledge in a disembodied state but lose it upon being embodied. We argue against both views and in favor of content innatism: human beings are born with innate cognitive contents that can be, but do not exist innately in the soul as, the contents of states of (...) knowledge. Content innatism has strong textual support and constitutes a philosophically interesting theory. (shrink)

In Posterior Analytics 2.19, Aristotle argues that we cannot have innate knowledge of first principles because if we did we would have the most precise items of knowledge without noticing, which is impossible. To understand Aristotle’s argument we need to understand why he thinks we cannot possess these items of knowledge without noticing. In this paper, I present three different answers to this question and three different readings of his argument corresponding to them. The first two readings focus on the (...) fact that we do not use the knowledge we allegedly possess innately. However, I argue that these readings fail to produce convincing arguments. I then offer a third reading, which focuses on the fact that we do not notice the knowledge we allegedly possess innately when we use it for the first time. I argue that this reading produces a more convincing argument than either of the first two. (shrink)

I argue against the standard interpretation of Aristotle’s account of ‘natural predication’ in Posterior Analytics 1.19 and 1.22 according to which only substances can serve as subjects in such predications. I argue that this interpretation cannot accommodate a number of demonstrations Aristotle sanctions. I propose a new interpretation that can accommodate them.

This chapter examines Plato’s account of the method of learning by paradeigma (‘model’) in the Statesman. I first explain what the method is. I then consider the two parties who are described as using it: children who are learning to read and write and the dialogue’s two interlocutors. I highlight some parallels between each party’s use of the method. These parallels illuminate important features of dialectical inquiry in general and the Visitor and Young Socrates’ inquiry in particular, including the nature (...) of the knowledge they ultimately hope to achieve and one stage in the complex process by which they aim achieve it. (shrink)

Contemporary virtue epistemologists argue that cognitive acts are knowledge by issuing from capacities that constitute intellectual virtues. This chapter argues that Aristotle rejects this thesis in favour of the view that capacities constitute intellectual virtues by issuing in cognitive acts that are knowledge.

Aristoteles’ Theorie der Demonstration ist in seinen Analytica posteriora enthalten, einem Werk, das seine in den Analytica priora präsentierte Theorie des Syllogismus zur Voraussetzung hat und auf ihm aufbaut. Eine Demonstration ist ein spezieller Typ von Syllogismus, nämlich ein solcher, der beweist, dass eine Tatsache notwendig ist, indem er deren Ursache oder Erklärung aus bestimmten Prämissen aufzeigt, die ihrerseits bestimmte Bedingungen erfüllen müssen. Aristoteles’ Theorie der Demonstration ist eng mit seinem Begriff des wissenschaftlichen Wissens verknüpft, weil wissenschaftliches Wissen seiner Auffassung (...) nach durch Demonstration erlangt wird. Von daher steht die Demonstration im Mittelpunkt seiner Wissenschaftsphilosophie. Eine Wissenschaft stellt dabei eine bestimmte Abfolge von miteinander verbundenen Demonstrationen dar, die kausale Relationen unter den in ihren Bereich fallenden Tatsachen aufzeigt. (shrink)

The introduction summarizes the six new papers collected in Volume 1, Tome 5: Eleatic Ontology and Aristotle. The papers take a fresh look at virtually every aspect of Aristotle’s engagement with Eleaticism. They are particularly concerned with Aristotle’s responses to Parmenidean monism, the Eleatic rejection of change, and Zeno’s paradoxes. The contributions also focus on the ways in which Aristotle developed several of his own theories in metaphysics and natural science partly in reaction to Eleatic puzzles and arguments.

Is reality one or many? If one, is there exactly one thing or exactly one kind of thing? And is this one (kind of) thing material or immaterial? These questions.

Este artigo discute certos problemas que aparecem na teoria aristotélica da investigaçãocientífica no capítulo 8 do livro II dos Segundos Analíticos de Aristóteles. Aristótelesdistingue três estágios de investigação científica. Meu ponto é que a teoria aristotélicada investigação científica consegue evitar o paradoxo de Mênon – sobre a impossibilidadede qualquer investigação – apenas se o segundo estágio reconhecido por Aristóteles, oestágio em que se estabelece que o objeto existe, for entendido como estágio em que seestabelece que o objeto em questão existe (...) a título de explanandum legítimo no domíniode uma dada ciência. (shrink)

The Possibility of Inquiry: Meno’s Paradox from Socrates to Sextus, by FineGail. Oxford: Oxford University Press, 2014. Pp. xiv + 399.

I review David Bronstein's "Aristotle on Knowledge and Learning: The Posterior Analytics".

ABSTRACT This is a review of David Bronstein's book "Aristotle on Knowledge and Learning: The Posterior Analytics".

David Bronstein’s book tackles Aristotle’s account, as presented in the Posterior Analytics, of knowledge, or rather a privileged form of it, ‘scientific knowledge’ or ‘understanding.’ We know in this way by grasping arguments of a certain kind, demonstrations, for which reason Aristotle devotes much of his attention in the Posterior Analytics to demonstrative argument. The subject is as important as anything in Aristotle, and it presents challenges as difficult as any confronting his interpreters elsewhere, which Bronstein’s book (...) tackles skillfully and to illuminating effect. The book is especially noteworthy for the high degree of systematic unity it attributes to the Posterior Analytics. The solutions... (shrink)

Volume 98, Issue 4, December 2020, Page 831-833.

In this book, which thoroughly revises and greatly expands his classic work Sameness and Substance, David Wiggins retrieves and refurbishes in the light of twentieth-century logic and logical theory certain conceptions of identity, of substance and of persistence through change that philosophy inherits from its past. In this new version, he vindicates the absoluteness, necessity, determinateness and all or nothing character of identity against rival conceptions. He defends a form of essentialism that he calls individuative essentialism, and then a (...) form of realism that he calls conceptualist realism. In a final chapter he advocates a human being-based conception of the identity and individuation of persons, arguing that any satisfactory account of personal memory must make reference to the life of the rememberer himself. This important book will appeal to a wide range of readers in metaphysics, philosophical logic, and analytic philosophy. (shrink)

Lipsey and Lancaster's "general theory of second best" is widely thought to have significant implications for applied theorizing about the institutions and policies that most effectively implement abstract normative principles. It is also widely thought to have little significance for theorizing about which abstract normative principles we ought to implement. Contrary to this conventional wisdom, I show how the second-best theorem can be extended to myriad domains beyond applied normative theorizing, and in particular to more abstract theorizing about the normative (...) principles we should aim to implement. I start by separating the mathematical model used to prove the second-best theorem from its familiar economic interpretation. I then develop an alternative normative-theoretic interpretation of the model, which yields a novel second best theorem for idealistic normative theory. My method for developing this interpretation provides a template for developing additional interpretations that can extend the reach of the second-best theorem beyond normative theoretical domains. I also show how, within any domain, the implications of the second-best theorem are more specific than is typically thought. I conclude with some brief remarks on the value of mathematical models for conceptual exploration. (shrink)

Artificial intelligence has historically been conceptualized in anthropomorphic terms. Some algorithms deploy biomimetic designs in a deliberate attempt to effect a sort of digital isomorphism of the human brain. Others leverage more general learning strategies that happen to coincide with popular theories of cognitive science and social epistemology. In this paper, I challenge the anthropomorphic credentials of the neural network algorithm, whose similarities to human cognition I argue are vastly overstated and narrowly construed. I submit that three alternative supervised learning (...) methods—namely lasso penalties, bagging, and boosting—offer subtler, more interesting analogies to human reasoning as both an individual and a social phenomenon. Despite the temptation to fall back on anthropomorphic tropes when discussing AI, however, I conclude that such rhetoric is at best misleading and at worst downright dangerous. The impulse to humanize algorithms is an obstacle to properly conceptualizing the ethical challenges posed by emerging technologies. (shrink)

A collection of 14 essays honoring the life and work of Oxford philosopher Wiggins touching on topics from ancient philosophy to ethics, metaphysics and the theory of meaning. The contributing scholars debate many of the seminal issues of Wiggins' work, including the determinancy of distinctness, relative identity, naturalism in ethics, logic and truth in moral judgments, and the practical wisdom of Aristotle. The collection uniquely features replies by Wiggins to each of the papers. Annotation copyright by Book News, Inc., Portland, (...) OR. (shrink)

Why study notations, diagrams, or more broadly the variety of nonverbal “representations” or “signs” that are used in mathematical practice? This chapter maps out recent work on the topic by distinguishing three main philosophical motivations for doing so. First, some work (like that on diagrammatic reasoning) studies signs to recover norms of informal or historical mathematical practices that would get lost if the particular signs that these practices rely on were translated away; work in this vein has the potential to (...) broaden our view of the specific normativity of mathematics beyond logical proof. Second, some work focuses on signs to highlight the open-ended and “nonrigorous” aspects of mathematical practice, and the role of these aspects in the historical development of mathematics. The third motivation is based on the following observation: the reason differences in signs matter in mathematics is that humans are finite agents, with cognitive and computational limitations. Accordingly, studying signs can be a way to study how human computational constraints shape the mathematics that we do, and to tackle the topic of mathematical understanding. (shrink)

We propose a formal framework for interpretable machine learning. Combining elements from statistical learning, causal interventionism, and decision theory, we design an idealised explanation game in which players collaborate to find the best explanation for a given algorithmic prediction. Through an iterative procedure of questions and answers, the players establish a three-dimensional Pareto frontier that describes the optimal trade-offs between explanatory accuracy, simplicity, and relevance. Multiple rounds are played at different levels of abstraction, allowing the players to explore overlapping causal (...) patterns of variable granularity and scope. We characterise the conditions under which such a game is almost surely guaranteed to converge on a optimal explanation surface in polynomial time, and highlight obstacles that will tend to prevent the players from advancing beyond certain explanatory thresholds. The game serves a descriptive and a normative function, establishing a conceptual space in which to analyse and compare existing proposals, as well as design new and improved solutions. (shrink)

According to dispositionalism about modality, a proposition <p> is possible just in case something has, or some things have, a power or disposition for its truth; and <p> is necessary just in case nothing has a power for its falsity. But are there enough powers to go around? In Yates (2015) I argued that in the case of mathematical truths such as <2+2=4>, nothing has the power to bring about their falsity or their truth, which means they come out both (...) necessary and not possible. Combining this with axiom (T), it is easy to derive a contradiction. I suggested that dispositionalists ought to retreat a little and say that <p> is possible just in case either p, or there is a power to bring it about that p, grounding the possibility of mathematical propositions in their truth rather than in powers. Vetter’s (2015) has the resources to provide a response to my argument, and in her (2018) she explicitly addresses it by arguing for a plenitude of powers, based on the idea that dispositions come in degrees, with necessary properties a limiting case of dispositionality. On this view there is a power for <2+2=4>, without there being a power to bring about its truth. In this paper I argue that Vetter’s case for plenitude does not work. However, I suggest, if we are prepared to accept metaphysical causation, a case can be made that there is indeed a power for <2+2=4>. (shrink)

Interpretation -- Introduction -- Interpreting Plato -- The political culture of Plato's early dialogues -- Dialogue -- Character and history -- The mouthpiece principle -- Forms of evidence -- Desire -- Socrates and eros -- The subjectivist conception of desire -- Instrumental and terminal desire -- Rational and irrational desires -- Desire in the critique of Akrasia -- Interpreting Lysis -- The deficiency conception of desire -- Inauthentic friendship -- Platonic desire -- Antiphilosophical desires -- Knowledge -- Excellence as wisdom (...) -- The epistemic unity of excellence -- Dunamis and technê -- Goodness and form -- The epistemological priority of definitional knowledge -- Ordinary ethical knowledge -- Method -- The Socratic fallacy -- Socrates' pursuit of definitions -- Hupothesis -- Two postulates -- The geometrical illustration -- Geometrical analysis -- The method of reasoning from a postulate -- Elenchus and hupothesis -- Knowledge and aitia -- F-conditions -- Cognitive security -- Aporia -- Forms of aporia -- Dramatic aporia -- The example of Charmides -- Charmides as autobiography -- The politics of Sôphrosunê -- Critias' Philotimia -- Self-knowledge and the knowledge of knowledge -- Knowledge of knowledge and knowledge of the good -- Philosophy and the polis. (shrink)

While there are many legal textbooks on the laws of armed conflict and academic works on ethical issues in international relations, this is the first text on the relevance of legal and normative issues in military practice. It covers the entire spectrum of military operations and is written with military deicision-makers particularly in mind.

Extant theoretical work on the political resource curse implies that dependence on resource revenues should decrease autocracies’ likelihood of democratizing but not necessarily affect democracies’ chances of survival. Yet most previous empirical studies estimate models that are ill-suited to address this claim. We improve upon earlier studies, estimating a dynamic logit model that interacts a continuous measure of resource dependence with an indicator of regime type using data from 166 countries, covering the period from 1816-2006. We find that an increase (...) in resource dependence at time t - 1 increases the likelihood of autocratic persistence at t, but has no appreciable effect on democratic survival. We go beyond existing empirical studies to show that increases in resource dependence have persistent and substantial cumulative effects on autocracies' likelihood of becoming democratic over the long-term, showing that the total effect of resource dependence on regime type is much larger than the short-term (one period) effect indicates. (shrink)

This is an in-depth study of J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to “ordinary” Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an “ursprüngliche” or original geometry – that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that (...) are grasped through geometrical or intelligible intuition. -/- Accordingly, this study classifies Fichte’s philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or “mathesis of the mind.” -/- “This work testifies to the author's exact and extensive knowledge of the Fichtean texts, as well as of the philosophical, scientific and historical contexts. Wood has opened up completely new paths for Fichte research, and examines with clarity and precision a domain that up to now has hardly been researched.” Professor Dr. Marco Ivaldo -/- “This study, written in a language distinguished by its limpidity and precision, and constantly supported by a close reading of the Fichtean texts and secondary literature, furnishes highly detailed and convincing demonstrations. In directly confronting the difficult historical relationship between the Wissenschaftslehre and mathematics, the author has broken new ground that is at once stimulating, decidedly innovative, and elegantly audacious.” Professor Dr. Emmanuel Cattin. (shrink)