In his ‘On t and u and what they can do’, Greg Restall presents an apparent problem for a handful of well-known non-classical solutions to paradoxes like the liar. In this article, we argue that there is a problem only if classical logic – or classical-enough logic – is presupposed. 1. Background Many have thought that invoking non-classical logic – in particular, a paracomplete or paraconsistent logic – is the correct response to the liar and related paradoxes. At the most (...) basic level, the target non-classical idea is that some expressions, like ‘all and only the true propositions’, do not behave as we would expect from classical logic. Non-classical theorists argue that the class of all and only the truths is either incomplete or inconsistent: when you truly speak of all and only truths , you're either leaving some truths out, or you're letting some untruths in. Truth, in a slogan, is either gappy or glutty. Non-classicality is not a glib or easy-way-out response to the paradoxes. Innocuous-seeming notions can turn out to be philosophically substantial. Moreover, apparently correct forms of reasoning can turn out to be incorrect. To take a example, a glut theorist must hold that the following argument form is not in general valid. Either p is true or q is true. But p is untrue. So q is true. This argument form may strike our ears as acceptable. But if p is a truth value glut, then the inference fails to preserve truth. According to glut theorists, the inference breaks down in inconsistent contexts: if the subject matter involves gluts, then the inference is to be rejected. And the liar paradox, according to such theorists, shows that truth is exactly the kind of subject matter that yields inconsistency. In the …. (shrink)

Vague predicates, on a paraconsistent account, admit overdetermined borderline cases. I take up a new line on the paraconsistent approach, to show that there is a close structural relationship between the breakdown of soritical progressions, and contradiction. Accordingly, a formal picture drawn from an appropriate logic shows that any cut-off point of a vague predicate is unidentifiable, in a precise sense. A paraconsistent approach predicts and explains many of the most counterintuitive aspects of vagueness, in terms of a more fundamental (...) inconsistency. (shrink)

ABSTRACT Historically, maternal HIV research has focused on prevention of mother‐to‐child transmission and child outcomes, with little focus on the health outcomes of mothers. Over the course of the HIV epidemic, the approach to including pregnant women in research has shifted. The current landscape lends itself to reviewing the public health ethics of this research. This systematic review aims to identify ethical barriers and considerations for including pregnant and postpartum women living with HIV in treatment adherence and retention research. We (...) completed a systematic literature review following PRISMA guidelines with analysis using a relational ethics perspective. The included studies (n = 7) identified ethical barriers related to (a) women research participants as individuals, (b) partner and family dynamics, (c) community perspectives on research design and conduct, and (d) policy and regulatory implications. These broader contextual factors will yield research responsive to, and respectful of, the needs of pregnant and postpartum women living with HIV. While current regulatory and policy environments may be slow to change, actions can be taken now to foster enabling environments for research. We suggest that a relational approach to public health ethics can best support the needs of pregnant and postpartum women living with HIV; acknowledging this population as systematically disadvantaged and inseparable from their communities will best support the health of this population. (shrink)

Framed by social identity and cognitive moral reasoning theories, this paper assessed Gen Zs' level of principled moral reasoning, discovered during their undergraduate college years, and influences revealed by demographic variations using the Moral Reasoning Inventory. We discovered that Gen Zs' principled moral reasoning was lower than research reporting on Millennials, but not as dramatic a decline as scholars reported when investigating Baby Boomers, Generation Xers, and Millennials' Pscores. We found some differences within our sample based on business discipline (academic (...) major), the most powerful influence on Gen Zs' principled moral reasoning, followed by gender, work experience, and academic intelligence (GPA). Years in an academic program were not seen as influencing Gen Zs' principled moral reasoning. Overall, we conclude that Gen Zs may not exhibit a homogenous ethical identity as measured by their level of principled moral reasoning. Implications of these findings are discussed. (shrink)

_Purpose._ The authors of this article aim to reveal how motivation and legitimacy ensure the normativity of the structuring and genesis of multiple social identity. _Theoretical basis._ Social constructivism was chosen as a research methodology. It reveals social identity as an identity constructed by its bearer on the basis of ready-made versions of social identity proposed by social groups and society. Social circles, identified by Georg Simmel, unite representatives of different social groups into a wider oneness, which can be interpreted (...) as a multiple social identity, and the motivation for its formation can be identified on the basis of Weber’s concept of legitimacy. _Originality._ Identifying the structure and genesis of a multiple social identity creates prerequisites for establishing its normative foundations, as well as for a specific analysis of the procedures for achieving its motivation and legitimacy. Georg Simmel’s concept of social virtues promotes consideration of the basic virtues of an individual as those that enable one’s to be a member of various social groups in which these virtues are manifested. _Conclusions._ The social virtues present in the social identities that are part of a multiple social identity determine not only the social status of these individuals in these social groups but also the ranking and normative significance of these groups for this individual. If the observance of virtues in a certain social group causes a higher motivation of an individual’s behavior, then this group acquires a higher legitimacy for her/him. Using the example of virtues, it is possible to search for other possible grounds for the formation of multiple social identity. Such grounds are primarily other characteristics of key social practices that support different social groups. (shrink)

A review of extent business ethics research uncovered well over 200 published articles that investigated the role of job functions within a business organization as an explanatory factor of ethical or unethical behavior. While an important body of work, ethical breaches are often found to cut across job functions and involve multiple disciplines embedded in a business organization. This research seeks to explore a crossfunctional explanation for ethical reasoning by using an instrument new to business ethics research, the Wason selection (...) task, but well-grounded and validated in cognitive research and evolutionary psychology, to assess an individual's ability to detect rule-based social contract violations. A sample of 276 full-time business practitioners, enrolled in part-time M.B.A. programs, from the accounting, finance, information technology, marketing, supply chain, and human resource management job functions were compared on their ability to detect rule violators across a series of production scenarios in the Wason selection task. Rates of cheater detection were calculated to determine if substantive differences existed across job functions. This was followed by a series of pairwise comparisons of percentages of cheater detection across the job functions using z-tests for assessing statistical significance. The data analysis showed differences in cheater detection, with most of the variance due to the marketing job function group. Insights from this study for scholars, educators, and practitioners in the business ethics field are discussed. (shrink)

Within the past few years, a new generation has joined the ranks of business managers or is preparing to become business managers: Generation Z (Gen Z), described as individuals born between 1995 and 2010. This paper has two aims: (1) to assess the Gen Z cohort framed by their value orientation preferences (VOP) and the importance given to principled moral reasoning (PMR) using values and cognitive moral reasoning theories and (2) to compare this information about the Gen Z cohort to (...) prior generations. Using the Rokeach Value Survey and the Moral Reasoning Inventory, we uncovered support for our expectations that Gen Zs would have a balanced set of VOP—that is, similar preferences for a personal and a social value orientation and similar preferences for a competence and moral value orientation. Further, Gen Z preferences are unlike prior generations. The importance given to principled moral reasoning to resolve ethical dilemmas is lower than Baby Boomers and Gen Xers but surprisingly higher than Millennials as found in prior studies. Implications of these discoveries and suggestions for future research are presented. (shrink)

Throughout the medieval period law was seen as the product of social groups and associations that formed legal orders, as Max Weber elaborates, "either constituted in its membership by such objective characteristics of birth, political, ethnic, or religious denomination, mode of life or occupation, or arose through the process of explicit fraternization." During the second half of the Middle Ages, roughly the tenth through fifteenth centuries, there were "several distinct types of law, sometimes competing, occasionally overlapping, invariably invoking different (...) traditions, jurisdictions and modes of operation." Types of law included imperial and royal edicts and statutes, canon law, unwritten customary law of tribes and localities, written Germanic law, residual Roman law, municipal statutes, the law of merchants and of guilds, and in England the common law, on the continent the Roman law of jurists after the twelfth century revival of the Justinian Code. The types of courts included various imperial and royal courts, ecclesiastical courts, manorial or seigniorial courts, village courts, municipal courts in cities, merchant courts, and guild courts. Serving as judges in these courts, respectively, were kings or their appointees, Bishops and abbots, barons or lords of the manor or their appointees, local lay leaders, leading burghers, merchants, and members of the guild. These various positions were not wholly separate-many high government officials were in religious orders, while Churches held landed estates that came with local judicial responsibilities. "Bishops, abbots and prioresses, as lords of temporal possessions, controlled manorial or honorial courts at which they sometimes, though not generally, presided in person, exercising responsibility for criminal and customary law." "The result was the existence of numerous law communities," Weber wrote, "the autonomous jurisdictions of which overlapped, the compulsory, political association being only one such autonomous jurisdiction in so far as it existed at all." Jurisdictional rules for judicial tribunals and the laws to be applied related to the persons involved and the subject matter at issue. The personality principle linked law to a person's community or association, and under feudalism property ownership came wrapped together with the right to judge those tied to the property. "Demarcation disputes between these laws and courts were numerous." Jurisdictional conflicts arose especially in relation to ecclesiastical courts, which claimed broad jurisdiction over personal status laws (marriage, divorce, inheritance) and moral crimes, as well as church property and personnel, matters which regularly overlapped with the jurisdiction of other courts. Furthermore, different bodies of law could be applicable in a given court in a given case. "It was common to find many different codes of customary law in force in the same kingdom, town or village, even in the same house, if the ninth century bishop Agobard of Lyons is to be believed when he says, 'It often happened that five mem were present or sitting together, and not one of them had the same law as another.'" In long settled areas, the personal law of communities became local customary law. People living within cities were subject to municipal statutes and customary law on certain matters (penal law, procedural), and the community law to which they were attached. (shrink)

Ultralogic as Universal was drafted in 1976, appeared in 1977 as ‘Ultralogic as Universal?’ in The Relevance Logic Newsletter, 2 (1–2) and was reprinted as an appendix to Exploring Meinong’s Jungle...

The recent literature on causality has seen the introduction of several distinctions within causality, which are thought to be important for understanding the widespread scientific practice of focusing causal explanations on a subset of the factors that are causally relevant for a phenomenon. Concepts used to draw such distinctions include, among others, stability, specificity, proportionality, or actual-difference making. In this contribution, I propose a new distinction that picks out an explanatorily salient class of causes in biological systems. Some select causes (...) in complex biological systems, I argue, have the property of enabling coherent causal control of these systems. Examples of such control variables include hormones and other signaling molecules, e.g., TOR (target of rapamycin), morphogens or the products of homeotic selector genes in embryonic pattern formation. I propose an analysis of this notion based on concepts borrowed from causal graph theory. (shrink)

Max Weber (1864-1920), generally known as a founder of modern social science, was concerned with political affairs throughout his life. The texts in this edition span his career and include his early inaugural lecture The Nation State and Economic Policy, Suffrage and Democracy in Germany, Parliament and Government in Germany under a New Political Order, Socialism, The Profession and Vocation of Politics, and an excerpt from his essay The Situation of Constitutional Democracy in Russia, as well as other shorter (...) writings. Together they illustrate the development of his thinking on the fate of Germany and the nature of politics in the modern western state in an age of cultural 'disenchantment'. The introduction discusses the central themes of Weber's political thought, and a chronology, notes and an annotated bibliography place him in his political and intellectual context. (shrink)

Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, (...) class='Hi'>Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary. (shrink)

Several authors have used the notion of causal specificity in order to defend non-parity about genetic causes (Waters 2007, Woodward 2010, Weber 2017, forthcoming). Non-parity in this context is the idea that DNA and some other biomolecules that are often described as information-bearers by biologists play a unique role in life processes, an idea that has been challenged by Developmental Systems Theory (e.g., Oyama 2000). Indeed, it has proven to be quite difficult to state clearly what the alleged special (...) role of genetic causes consists in. In this paper, I show that the set of biomolecules that are normally considered to be information-bearers (DNA, mRNA) can be shown to be the most specific causes of protein primary structure, provided that causal specificity is measured over a relevant space of biological possibilities, disregarding physical as well as logically possible states of the causal variables. (shrink)

There are several theses in political science that are usually explicitly called ‘laws’. Other theses are generally thought of as laws, but often without being explicitly labelled as such. Still other claims are well-supported and arguably interesting, while no one would be tempted to call them laws. This situation raises philosophical questions: which theses deserve to be called laws and which not? And how should we decide about this? In this paper we develop and motivate a strategy for thinking about (...) laws in political science which integrates two core concepts: spatio-temporal stability and social mechanisms. The proposed strategy is a set of guidelines that political scientists can use to reflect on and argue about specific cases within their discipline, not a clear-cut demarcation criterion. We defend and motivate this strategy and apply it to two cases (one with respect to state repression, one about parliamentary elections). After we have developed and motivated our strategy for political science, we show that our proposal is relevant for other disciplines in the social sciences. We explain how our views fit into critical realism and embed them in the debate on laws in general philosophy of science and in the philosophy of the social sciences. (shrink)

I examine different arguments that could be used to establish indeterminism of neurological processes. Even though scenarios where single events at the molecular level make the difference in the outcome of such processes are realistic, this falls short of establishing indeterminism, because it is not clear that these molecular events are subject to quantum mechanical uncertainty. Furthermore, attempts to argue for indeterminism autonomously (i.e., independently of quantum mechanics) fail, because both deterministic and indeterministic models can account for the empirically observed (...) behavior of ion channels. (shrink)

Der Begriff der Intentionalität stellt einen der grundlegenden Begriffe in der Philosophie Webers dar. In Anlehnung an Brentano gibt er in seinen Frühwerken mehrere Unterscheidungsmerkmale zwischen Psychischem und Physischem an, welche er als Unterschied in der Gegebenheit, in der Realität, in der Erfassbarkeit, in der Beschaffenheit, in der Abhängigkeit und in der Gerichtetheit bezeichnet, wobei Unterschiede und Übereinstimmungen mit Brentano nahe liegen. Es wird gezeigt, dass sich Weber bei der Behandlung der Intentionalität vor allem auf Gedanken von Alexius Meinong (...) und dessen Schule stützt. Mit ihnen vertritt er jene Theorie, welche zwischen dem Inhalt und dem Akt einerseits und dem Gegenstand andrerseits unterscheidet – er nimmt den so genannten „gegenstandstheoretischen Dualismus“ an. Außerdem meint er in seinen Frühschriften, dass alle Erlebnisse einen Gegenstand besitzen, unabhängig davon, ob diesel tatsächlich existiert bzw. besteht. Um etwa 1930 hat Weber plötzlich seine Ansicht geändert und behauptet nun, dass es auch nicht-intentionale Erlebnisse gibt, welche auf keinen bestimmten Gegenstand hinweisen. In diesem Zusammenhang unterscheidet er vorintentionale und nachintentionale nicht-intentionale Erlebnisse, wie z.B. Instinkte bzw. Triebe und Stimmungen. (shrink)

In Less Than Nothing, the pinnacle publication of a distinguished career, Slavoj i ek argues that it is imperative that we not simply return to Hegel but that we repeat and exceed his triumphs, overcoming his limitations by being even more ...

Frontmatter -- Inhalt -- Formen und Inhalte der Bedeutungsbeschreibung: Definition, Explikation, Repräsentation, Simulation / Weber, Nico -- Zeichen, Bedeutung, Objekt aus kommunikationssemantischer Sicht / Juchem, Johann G. -- Was ist philosophische Logik der Zeit? / Stuhlmann-Laeisz, Rainer -- Zum Kompositionalitätsprinzip in der Semantik / Schröder, Bernhard -- Kognitiv orientierte Lexikographie / Figge, Udo L. -- Wortbedeutungen in Wörterbüchern, Wortbedeutungen in Texten / Seewald, Uta -- Lexikon und Universalgrammatik / Bierwisch, Manfred -- Enzyklopädische Informationen in Wörterbüchern / Bergenholtz, Henning / (...) Kaufmann, Uwe -- Ansichten von Bedeutung: fachsprachliche vs. gemeinsprachliche Semantik / Schaeder, Burkhard -- On Compound Explication in a Byzantine Greek Dictionary / Steiner-Weber, Astrid -- Lexikographische Erschließung des Wendekorpus / Hellmann, Manfred W. -- Les temps d'un dictionnaire de TAO sont-ils venus? / Zemb, Jean-Marie -- Semantische Relatoren / Engel, Ulrich -- Die Beschreibung von Sätzen ohne Subjektsphrase in der kopfgesteuerten Phrasenstrukturgrammatik / Klenk, Ursula -- Representation of Verb-alternations in an Inheritance-based Lexicon / Wolting, Suzanne -- Probleme der Extraktion semantischer Relationen aus maschinenlesbaren Wörterbüchern / Mehl, Stephan -- Können Verben semantische Relationen markieren? / Büchel, Gregor -- On the Verification of Lexical Descriptions in Text Corpora / Heid, Ulrich -- Automatische Generierung natürlichsprachlicher Paraphrasen formaler Bedeutungsbeschreibungen / Küstner, Herbert -- Verb Semantics in Multilingual Sentence Generation / Stede, Manfred -- ADRESSEN DER AUTOREN. (shrink)

Die Traume und Visionen aus der antiken Literatur, die die romischen Kaiser und ihr Umfeld betreffen, wurden bislang noch nicht auf ihre Bedeutung hin untersucht. Die vorliegende Arbeit schliesst diese Lucke, indem sie das Material von Caesar bis Maurikios analysiert. Dabei ergeben sich spezifische Motive, die besonders mit Traumen und Visionen verbunden sind: Geburt und Kindheit, Verheissung der Herrschaft, Erringung eines Sieges und gottliches Eingreifen, Ausubung der Herrschaft, besondere Befahigung und gottliche Begunstigung, nahendes Ende. Durch den breiten zeitlichen Ansatz gelingt (...) es, fur die Motive unterschiedliche Schwerpunkte auszumachen: Sie stehen alle in der Spannung zwischen einer gezielten Verbreitung zur Schaffung von Akzeptanz und der Literarisierung durch die antiken Autoren. Fur die Behandlung der Thematik waren nicht nur definitorische Vorarbeiten notwendig, sondern auch der mentale Horizont moglicher Rezipienten musste durch die Interpretation von Inschriften, Papyri und Selbstaussagen antiker Autoren in den Blick genommen werden. (shrink)

The latest book by the Slovenian critic Slavoj Zizek takes the work of French philosopher Gilles Deleuze as the beginning of a dazzling inquiry into the realms of radical politics, philosophy, film (Hitchcock, Fight Club ), and psychoanalysis. Of Organs without Bodies Joan Copjec ( Imagine There's No Woman ) has written: "With all his ususal humor and invention, Zizek -- the acknowledged master of the 180 degree turn -- here takes a trip into "enemy" territory to deliver Deleuze of (...) a marvelously rebellious child, one that seriously challenges Deleuze's other progeny with a surprising but convincing bid for succession. Those who thought Deleuze's forward march into the future would follow a straight path are forced to rethink their stance. From now on all readings of Deleuze will have to take a detour through this important -- even necessary -- book." Eric Santner ( On the Psychopathology of Everyday Life ) describes Organs without Bodies as offering "an entirely new degree of conceptual clarity and political urgency. Through his deep engagement with the logic of Deleuze's project, Zizek opens up new possibilities of thought beyond the terms of the current political debates on globalization, democratization, war on terror. Once again, Zizek has produced an utterly timely and radically untimely meditation." Recently profiled in The New Yorker , and hailed by the Village Voice as "the giant of Ljubljana," Zizek is one of the most provocative and entertaining thinkers at work today. (shrink)

The author argues the following hypothesis: the medical clinic is an experimental practice, in the sense given to this term by Claude Bernard, and the clinic is its specific laboratory. Its object is not the disease, but the patient. Careful examination of the clinic attests to its very close proximity to the experimental method, and the comparison also raises a number of difficulties. The main obstacle arises from the specificity of medicine, which involves treating individual human subjects whose words cannot (...) be suppressed. Its main challenge is to combine a linguistic practice with an experimental method. (shrink)

Book synopsis: In this combative major new work, philosophical sharpshooter Slavoj Zizek looks for the kernel of truth in the totalitarian politics of the past. Examining Heidegger's seduction by fascism and Foucault's flirtation with the Iranian Revolution, he suggests that these were the 'right steps in the wrong direction.' On the revolutionary terror of Robespierre, Mao and the bolsheviks, Zizek argues that while these struggles ended in historic failure and horror, there was a valuable core of idealism lost beneath the (...) bloodshed. A redemptive vision has been obscured by the soft, decentralized politics of the liberal-democratic consensus. Faced with the coming ecological crisis, Zizekk argues the case for revolutionary terror and the dictatorship of the proletariat. A return to past ideals is needed despite the risks. In the words of Samuel Beckett: 'Try again. Fail again. Fail better.'. (shrink)

With his characteristic wit, Zizek addresses the burning question of how to reformulate a leftist project in an era of global capitalism and liberal-democratic ...

The author offers perspectives that can assist healthcare managers in achieving the highest ethical standards as they face their roles as healthcare providers, employers, and community service organizations. He also examines how to comply with relevant laws and regulations, provide high quality patient care with limited resources, and more.

Whenever the membranes of the egg in which the foetus emerges on its way to becoming a new-born are broken, imagine for a moment that something flies off, and that one can do it with an egg as easily as with a man, namely the hommelette, or the lamella. The lamella is something extra-flat, which moves like the amoeba. It is just a little more complicated. But it goes everywhere. And as it is something - I will tell you shortly (...) why - that is related to what the sexed being loses in sexuality, it is, like the amoeba in relation to sexed beings, immortal - because it survives any division, and scissiparous intervention. And it can turn around. Well! This is not very reassuring. But suppose it comes and envelopes your face while you are quietly asleep... I can't see how we would not join battle with a being capable of these properties. But it would not be a very convenient battle. This lamella, this organ, whose characteristic is not to exist, but which is nevertheless an organ - I can give you more details as to its zoological place - is the libido. It is the libido, qua pure life instinct, that is to say, immortal life, irrepressible life, life that has need of no organ, simplified, indestructible life. It is precisely what is subtracted from the living being by virtue of the fact that it is subject to the cycle of sexed reproduction. And it is of this that all the forms of the objet a that can be enumerated are the representatives, the equivalents. Every word has a weight here, in this deceivingly poetic description of the mythic creature called by Lacan "lamella". Lacan imagines lamella as a version of what Freud called "partial object": a weird organ which is magically autonomized, surviving without a body whose organ it should have been, like a hand that wonders around alone in early Surrealist films, or like the smile in Alice in Wonderland that persists alone, even when the Cheshire cat's body is no longer present: "'All right', said the Cat; and this time it vanished quite slowly, beginning with the end of the tail, and ending with the grin, which remained some time after the rest of it had gone. 'Well! I've often seen a cat without a grin', thought Alice; 'but a grin without a cat! It's the most curious thing I ever saw in my life!'" The lamella is an entity of pure surface, without the density of a substance, an infinitely plastic object that can not only incessantly change its form, but can even transpose itself from one to another medium: imagine a "something" that is first heard as a shrilling sound, and then pops up as a monstrously distorted body. A lamella is indivisible, indestructible, and immortal - more precisely, undead in the sense this term has in horror fiction: not the sublime spiritual immortality, but the obscene immortality of the "living dead" which, after every annihilation, re-composes themselves and clumsily goes on. As Lacan puts it in his terms, lamella does not exist, it insists: it is unreal, an entity of pure semblance, a multiplicity of appearances which seem to envelop a central void - its status is purely fantasmatic. This blind indestructible insistence of the libido is what Freud called "death drive," and one should bear in mind that "death drive" is, paradoxically, the Freudian name for its very opposite, for the way immortality appears within psychoanalysis: for an uncanny excess of life, for an "undead" urge which persist beyond the cycle of life and death, of generation and corruption. This is why Freud equates death drive with the so-called "compulsion-to-repeat," an uncanny urge to repeat painful past experiences which seems to outgrow the natural limitations of the organism affected by it and to insist even beyond the organism's death - again, like the living dead in a horror film who just go on. This excess inscribes itself into the human body in the guise of a wound which makes the subject "undead," depriving him of the capacity to die : when this wound is healed, the hero can die in peace. (shrink)

... PREFACE Paul Gochet (Liege) "[...] une entite physique ne peut etre envisagee que comme une sorte de concretisation, de consolidation locale dans un ...

With a new introduction by the author In this deliciously polemical work, a giant of cultural theory immerses himself in the ideas of a giant of French thought.

In the mathematics education research literature, there is a growing body of scholarship on how mathematicians practice their craft. The purpose of this chapter is to survey some of this literature and explain how it can contribute to the philosophy of mathematical practice. We first describe how mathematics educators use empirical methodologies to investigate the behaviors of mathematicians and argue that findings from these studies can inform the philosophy of mathematical practice. We then illustrate this by summarizing research on mathematicians’ (...) understandings and mathematicians’ proof reading. (shrink)