Appeal to triangulation occurs in two different contexts in Davidson’s work. In the first, triangulation—in the trigonometric sense—is used as an analogy to help explain the central idea of a transcendental argument designed to show that we can have the concept of objective truth only in the context of communication with another speaker. In the second, the triangulation of two speakers responding to each other and to a common cause of similar responses is invoked as a solution (...) to the problem of underdetermination of thought and meaning by the patterns of causal relations we stand in to the environment. I examine both of these uses of the idea of triangulation. In section 2, I take up the use of triangulation as an analogy in connection with Davidson transcendental argument to establish that communication is essential for the concept of objectivity. I argue that it is unsuccessful because the case has not been made that scope for deploying the idea of contrasting perspectives, which is needed for the concept of objectivity, is available only in the context of communication. In section 3, I take up the idea that triangulation on a common cause of common responses of two creatures interacting with each other provides the additional constraint needed to assign objective content to our thoughts and words. I show that appeal to this sort of triangulation provides minimal help in responding to the problem it is intended to solve. Section 4 provides a brief summary and conclusion. (shrink)

We present a new justification for methodological triangulation (MT), the practice of using different methods to support the same scientific claim. Unlike existing accounts, our account captures cases in which the different methods in question are associated with, and rely on, incommensurable theories. Using a nonstandard Bayesian model, we show that even in such cases, a commitment to the minimal form of epistemic conservatism, captured by the rigidity condition that stands at the basis of Jeffrey’s conditionalization, supports the practice (...) of MT. (shrink)

We relate Popper functions to regular and perfectly additive such non-Archimedean probability functions by means of a representation theorem: every such non-Archimedean probability function is infinitesimally close to some Popper function, and vice versa. We also show that regular and perfectly additive non-Archimedean probability functions can be given a lexicographic representation. Thus Popper functions, a specific kind of non-Archimedean probability functions, and lexicographic probability functions triangulate to the same place: they are in a good sense interchangeable.

The chapter first provides a detailed exposition of Davidson's triangulation argument to the effect that only someone who has interacted simultaneously with another person and the world they share could have a language and thoughts. It then examines the core objections that have been made to the argument, namely, that triangulation is not needed either to fix the propositional contents of one's thoughts and utterances or to have the concept of objective truth; that one need not have the (...) concept of objective truth in order to be a thinker and speaker; and that the account the argument gives of what makes thought and language possible is circular. (shrink)

The article addresses critical discourses pertaining to triangulation methodology as a step forward in dealing with policy formulation, particularly at the Bank of Sierra Leone. Alternative prescriptive measure like critical discourse analysis have been proposed as a means to the cutting head development in bridging the gap between orthodox and heterodox views of economic sciences investigations.

Donald Davidson used triangulation to do everything from explicate psychological and semantic externalism, to attack relativism and skepticism, to propose conditions necessary for thought and talk. At one point Davidson tried to bring order to these remarks by identifying three kinds of triangulation, each operative in a different situation. Here I take seriously Davidson’s talk of triangular situations and extend it. I start by describing Davidson’s situations. Next I establish the surprising result that considerations from one situation entail (...) the possibility that at any one time one language is partially untranslatable into another. Because the possibility is time-indexed, it need not conflict with Davidson’s own argument against the possibility of untranslatability. I derive the result, not to indict Davidson, but to propose a new kind of triangulation, the reconciliation of untranslatability, which I investigate. Insofar as triangulation is central to Davidson’s views, getting a handle on his various triangular situations is key to getting a handle on his contributions to philosophy. Insofar as those contributions have enriched our understanding of how language, thought, and reality interrelate, extending Davidson’s model promises to extend our understanding too. (shrink)

Suppose you are stranded on an island and you want to get over to the nearby mainland. Your only option is to swim. But is the other shore close enough? If you embark and it isn’t, you drown. So you prefer to know before taking off. Happily, you are well equipped. You have not only a yardstick, but also a theodolite for measuring angles, and a good knowledge of trigonometry. You then determine the distance to the other shore by means (...) of triangulation. You fix two points, A and B, on your own shore, and identify a third point, C, in sight on the opposite shore. You then measure the distance between A and B with your yardstick, and the two angles ABC and CAB with your theodolite. With this information you can calculate the distances AC and BC to the other shore. (shrink)

What is the relationship between detailed critical analysis and the background assumptions made by a given theory of film spectatorship? In this article, I approach this question by looking at Vittorio Gallese and Michele Guerra's The Empathic Screen in the light of the method of triangulation—the coordination and integration of phenomenological, psychological, and neuroscientific evidence, as set out in my Film, Art, and the Third Culture. In particular, I examine Gallese and Guerra's arguments concerning the role of camera movement (...) in prompting immersive, embodied simulation, as well as critiques of these arguments from David Bordwell and Malcolm Turvey. I focus on the special, irreducible role of critical analysis in these arguments. Detailed analysis of film form and style plays an essential role, I argue, in demonstrating the plausibility (or otherwise) of the thesis advanced by Gallese and Guerra. Such analysis is where the rubber of theoretical assumptions meets the road of the material work. (shrink)

This paper deals with the evidential value of neuroeconomic experiments for the triangulation of economically relevant phenomena. We examine the case of social preferences, which involves bringing together evidence from behavioural experiments, neuroeconomic experiments, and observational studies from other social sciences. We present an account of triangulation and identify the conditions under which neuroeconomic evidence is diverse in the way required for successful triangulation. We also show that the successful triangulation of phenomena does not necessarily afford (...) additional confirmation to general theories about those phenomena. (shrink)

Appeal to triangulation occurs in two different contexts in Davidson’s work. In the first, triangulation—in the trigonometric sense—is used as an analogy to help explain the central idea of a transcendental argument designed to show that we can have the concept of objective truth only in the context of communication with another speaker. In the second, the triangulation of two speakers responding to each other and to a common cause of similar responses is invoked as a solution (...) to the problem of underdetermination of thought and meaning by the patterns of causal relations we stand in to the environment. I examine both of these uses of the idea of triangulation. In section 2, I take up the use of triangulation as an analogy in connection with Davidson transcendental argument to establish that communication is essential for the concept of objectivity. I argue that it is unsuccessful because the case has not been made that scope for deploying the idea of contrasting perspectives, which is needed for the concept of objectivity, is available only in the context of communication. In section 3, I take up the idea that triangulation on a common cause of common responses of two creatures interacting with each other provides the additional constraint needed to assign objective content to our thoughts and words. I show that appeal to this sort of triangulation provides minimal help in responding to the problem it is intended to solve. Section 4 provides a brief summary and conclusion. (shrink)

Methodological triangulation is the use of more than one method to investigate a phenomenon. Nurse researchers investigate health phenomena using methods drawn from the natural and social sciences. The methodological debate concerns the possibility of confirming a single theory with different kinds of methods. The nursing debate parallels the philosophical debate about how the natural and social sciences are related. This article critiques the presuppositions of the nursing debate and suggests alternatives. The consequence is a view of triangulation (...) that permits different methods to confirm a single theory. The article then explores the consequences for the philosophy of social sciences. (shrink)

Davidson claims that a creature that has spent its entire life in isolation cannot have thoughts. His two reasons for this claim are that interaction with another creature is required to locate the cause of the creature's responses, and that linguistic communication is necessary to acquire the concept of objective truth, which is itself required in order to have thoughts. I argue that, at best, these two reasons imply that in order to have thoughts a creature must be capable of (...) participating in triangulation, not that it must have already participated in triangulation. I then argue that triangulation doesn't solve the ambiguity problem; that is, it doesn't entail that a being's thoughts and utterances are about distal objects rather than proximal patterns of stimulation. Fortunately, ambiguity, like other forms of indeterminacy, doesn't entail that we cannot have thoughts. /// Davidson afirma que una criatura que ha pasado su vida entera aislada no puede tener pensamientos. Aduce dos razones para esto: que se requiere la interacción con otra criatura para localizar la causa de las respuestas de la criatura, y que la comunicación lingüística es necesaria para adquirir el concepto de verdad objetiva, que a su vez es necesario para tener pensamientos. Argumento que, en el mejor de los casos, estas dos razones implican que para tener pensamientos una criatura debe ser capaz de participar en una triangulacion, no que ya debe haber participado en ella. Arguyo, además, que la triangulación no resuelve el problema de la ambigüedad, esto es, no implica que lo que un ser piensa y dice sea acerca de objetos distantes, más que de patrones de estimulacion próximos. Por fortuna, la ambigiiedad, como otras formas de indeterminación, no implica que no podamos tener pensamientos. (shrink)

Social scientists use many different methods, and there are often substantial disagreements about which method is appropriate for a given research question. In response to this uncertainty about the relative merits of different methods, W. E. B. Du Bois advocated for and applied “methodological triangulation”. This is to use multiple methods simultaneously in the belief that, where one is uncertain about the reliability of any given method, if multiple methods yield the same answer that answer is confirmed more strongly (...) than it could have been by any single method. Against this, methodological purists believe that one should choose a single appropriate method and stick with it. Using tools from voting theory, we show Du Boisian methodological triangulation to be more likely to yield the correct answer than purism, assuming the scientist is subject to some degree of diffidence about the relative merits of the various methods. This holds even when in fact only one of the methods is appropriate for the given research question. (shrink)

In this paper, I explore two contrasting conceptions of the social character of language. The first takes language to be grounded in social convention. The second, famously developed by Donald Davidson, takes language to be grounded in a social relation called triangulation. I aim both to clarify and to evaluate these two conceptions of language. First, I propose that Davidson’s triangulation-based story can be understood as the result of relaxing core features of conventionalism pertaining to both common-interest and (...) diachronic stability—specifically, Davidson does not require uses of language to be self-perpetuating, in the way required by conventionalism, in order to be bona fide components of linguistic systems. Second, I argue that Davidson’s objections to conventionalism from language innovation and language variation fail, and that certain kinds of negative data in language use require an appeal to diachronic social relations. However, I also argue that recent work on communication in the a.. (shrink)

This article raises two questions about Robert Myers and Claudine Verheggen's terrific book, Donald Davidson's Triangulation Argument: A Philosophical Inquiry. The first question, concerning the first part of the book, is whether, starting from the assumption that a solitary individual cannot have thought contents, we can show that adding another individual to the picture cannot resolve the problem. The second question, concerning the second part, is whether a more sophisticated, decision-theoretic, Humean about the pro-attitudes can respond to the objections (...) to the simple Humean view, and whether Davidson was not in fact just such a sophisticated decision-theoretic Humean. RÉSUMÉ: Cet article pose deux questions sur le formidable livre de Robert Myers et Claudine Verheggen, Donald Davidson's Triangulation Argument: A Philosophical Inquiry. La première question, qui concerne la première partie du livre, consiste à déterminer si, étant donné la supposition qu'un individu solitaire ne peut pas avoir de contenus mentaux, nous pouvons démontrer qu'ajouter un autre individu ne permet pas de résoudre le problème. La seconde question, qui concerne la deuxième partie du livre, est de savoir si un tenant d'une conception humienne des pro-attitudes plus sophistiquée, adhérant à la théorie de la décision, peut répondre aux objections formulées contre la simple conception humienne, et si Davidson n’était pas en fait un tenant de ce second type de conception humienne. (shrink)

When radiocarbon dating techniques were applied to archaeological material in the 1950s they were hailed as a revolution. At last archaeologists could construct absolute chronologies anchored in temporal data backed by immutable laws of physics. This would make it possible to mobilize archaeological data across regions and time-periods on a global scale, rendering obsolete the local and relative chronologies on which archaeologists had long relied. As profound as the impact of 14C dating has been, it has had a long and (...) tortuous history now described as proceeding through three revolutions, each of which addresses distinct challenges of capturing, processing and packaging radiogenic data for use in resolving chronological puzzles with which archaeologists has long wrestled. In practice, mobilizing radiogenic data for archaeological use is a hard-won achievement; it involves multiple transformations that, at each step of the way, depend upon a diverse array of technical expertise and background knowledge. I focus on strategies of triangulation and traceability that establish the integrity of these data and their relevance as anchors for evidential reasoning in archaeology. (shrink)

According to Davidson, 'triangulation' is necessary both to fix the meanings of one's thoughts and utterances and to have the concept of objectivity, both of which are necessary for thinking and talking at all. Against these claims, it has been objected that neither meaning-determination nor possession of the concept of objectivity requires triangulation; nor does the ability to think and talk require possession of the concept of objectivity. But this overlooks the important connection between the tasks that (...) class='Hi'>triangulation is meant to perform. One cannot fix concepts or meanings, which one must do for there to be any concepts or meanings at all, without having the concept of objectivity. (shrink)

The chapter first provides a detailed exposition of Davidson's triangulation argument to the effect that only someone who has interacted simultaneously with another person and the world they share could have a language and thoughts. It then examines the core objections that have been made to the argument, namely, that triangulation is not needed either to fix the propositional contents of one's thoughts and utterances or to have the concept of objective truth; that one need not have the (...) concept of objective truth in order to be a thinker and speaker; and that the account the argument gives of what makes thought and language possible is circular. (shrink)

Suppose you're unable to discriminate the colors of two objects. According to the triangulation view, their colors might nonetheless look different to you, and that's something you can discover as a result of further comparisons. The primary motivation for this view is its apparent ability to solve a puzzle involving a series of pairwise indiscriminable objects. I argue that, due to visual noise, the triangulation view doesn't really solve the puzzle.

Recent literature comparing the works of Heidegger and Davidson suggests that one of the main differences between these two thinkers is that the latter lacks any notion of non-linguistic interpretation and understanding; the only way of making sense of a domain of entities for Davidson is theory. I argue against this common perspective and show that Davidson is committed to a primitive, pre-conceptual form of understanding that is socially mediated. This primitive form of understanding is essential to the functioning of (...) what Davidson calls 'primitive triangulation'. Properly understood, primitive triangulation shares many structural features with Dasein's comportment. (shrink)

Is there a plausible middle position in the debate between realists and constructivists about categories or kinds? Such a position may seem to be contained in the account of triangulation that Donald Davidson develops in recent writings. On this account, the kinds we pick out are determined by an interaction between our shared similarity responses and causal relations between us and things in our environment. So kinds and categories are neither imposed on us by the nature of the world, (...) nor imposed by us on an intrinsically unstructured reality. But the picture derivable from Davidson's account of triangulation can be interpreted in either of two ways. On one interpretation, it collapses into constructivism. On the other, it turns out to be very close to the most plausible versions of realism. It is argued that Davidson's attempts to distinguish his view from Putnam's realism about natural kinds are unsuccessful. So Davidson's account of triangulation does indeed suggest a plausible view of kinds. But that view is a version of traditional realist views, not an alternative to them. (shrink)

Let $\scr{R}$ be an o-minimal structure over a real closed field R. Given a simplicial complex K and some definable subsets S₁,...,S l of its realization $|K|$ in R we prove that there exist a subdivision K' of K and a definable triangulation $\phi ^{\prime}\colon |K^{\prime}|\rightarrow |K|$ of $|K|$ partitioning S₁,...,S l with $\phi ^{\prime}$ definably homotopic to $id_{|K|}$ . As an application of this result we obtain the semialgebraic Hauptvermutung.

Given the difficulties in Business & Society research to establish causality, one of the crucial tasks in the sciences, a Quasi-Experimental Approach (QEA) is suggested as a research design suitable to a variety of questions in the field. Triangulation is also suggested as a complement to the QEA way to tease out plausible alternative explanations. A recently published study is used as an illustrative example.

This volume breaks new grounds by bringing together a great variety of innovative contributions on triangulation, epistemology, and mind. The notion of triangulation, developed by Donald Davidson during the last two decades of his life, has changed our understanding of the relationship between subjective, intersubjective, and objective, and shed new light on concepts such as externalism, internalism, communication, interpretation, and language. At the same time, however, it has been strongly criticized for several aspects. The papers collected in this (...) volume written by established contributors aim to provide new insights into the contemporary debate on triangulation. The upshot is not only a deeper understanding of Davidson s ideas but also a new appreciation of some central problems of epistemology and the philosophy of mind with regard to adjoining disciplines such as, for instance, cognitive sciences and the philosophy of language.". (shrink)

According to many commentators, Davidson’s earlier work on philosophy of action and truth-theoretic semantics is the basis for his reputation, and his later forays into broader metaphysical and epistemological issues, and eventually into what became known as the triangulation argument, are much less successful. This book by two of his former students aims to change that perception. In Part One, Verheggen begins by providing an explanation and defense of the triangulation argument, then explores its implications for questions concerning (...) semantic normativity and reductionism, the social character of language and thought, and skepticism about the external world. In Part Two, Myers considers what the argument can tell us about reasons for action, and whether it can overcome skeptical worries based on claims about the nature of motivation, the sources of normativity and the demands of morality. The book reveals Davidson’s later writings to be full of innovative and important ideas that deserve much more attention than they are currently receiving. (shrink)

Philosophical debates about the mental life of non-human animals provide an especially vivid illustration of how radically philosophers‘ intuitions concerning other minds can diverge. Do animals have mental states? Of what sort? Do any of the beasts have minds that overlap with ours? Is there any significant continuity between their minds and ours? Davidson is well known for arguing that, for conceptual reasons, at least when it comes to beliefs and other propositional attitudes, non-human animals differ from us in having (...) none. For example, he has argued that having beliefs requires having the concept of belief, which in turn requires language (Davidson (2001a), (2001b)). He has also argued that possession of any propositional attitude presupposes possession of belief, and that attributing any propositional attitude to a creature requires crediting them with the concepts that figure in the specification of the attitude‘s content (Davidson (2001a), (2001b) (2004)). Davidson‘s arguments are tantalizing, but also puzzling, and far from explicit; and they have been subjected to sharp scrutiny and powerful objections from a number of authors in recent years. (shrink)

Donald Davidson has emphasized the importance of what he calls “triangulation” for clarifying the conditions that make thought possible. Various critics have questioned whether this triangular causal interaction between two individuals and a shared environment can provide necessary conditions for the emergence of thought. I argue that these critical responses all suffer from a lack of appreciation for the way triangulation is responsive to the philosophical commitments of Davidson's naturalism. This reply to Davidson's critics helps clarify several metaphilosophical (...) issues concerning the overall significance of this use of triangulation. I illustrate how the network of commitments that make up Davidson's conception of non‐reductive naturalism inform the respective problems and issues that triangulation is introduced to address. This then serves as an example of the way metaphilosophical considerations are useful in clarifying the status of a respective philosophical position and for understanding the philosophical debates surrounding it. (shrink)

This commentary offers two criticisms of Block's account of phenomenal consciousness and a brief sketch of a rival account. The negative points are that monitoring consciousness also involves the possession of certain states and that phenomenal consciousness inevitably involves some sort of monitoring. My positive suggestion is that “phenomenal consciousness” may refer to our ability to monitor the rich but preconceptual states that retain perceptual information for complex processing.

The article argues for the epistemic rationale of triangulation, namely, the use of multiple and independent sources of evidence. It claims that triangulation is to be understood as causal reasoning from data to phenomenon, and it rationalizes its epistemic value in terms of controlling for likely errors and biases of particular data-generating procedures. This perspective is employed to address objections against triangulation concerning the fallibility and scope of the inference, as well as problems of independence, incomparability, and (...) discordance of evidence. The debate on the existence of social preferences is used as an illustrative case. (shrink)

By describing the aim of triangulation as locating the objects of thoughts and utterances, Davidson has given in the double role of accounting for both the individuation of content and the sense in which content necessarily is public. The focus of this article is on how triangulation may contribute to the individuation of content. I maintain that triangulation, interpreted in terms of joint attention, may serve to break into the intentional circle of meaning and belief, yet without (...) forcing us to renounce the claims concerning the interdependence of meaning and belief and the irreducibility of meaning. (shrink)

This article contains critical reflections of a multidisciplinary research group studying the human and technological dynamics around some newly offered electronic services in a specific rural area of Finland. For their research, the group adopted ethnography. On facing the challenges of doing ethnographic research in a multidisciplinary setting, the group evolved its own breed of research practice based on multiple forms of triangulation. This implied the use of multiple data sources, methods, theories, and researchers, in different combinations. One of (...) the outcomes of the work is a model for collaborative research. It highlights, among others, the importance of creating a climate for collaboration within the research group and following a process of individual and collaborative writing to achieve the potential benefits of such research. The article also identifies a set of remaining challenges relevant to collaborative research. (shrink)

I focus on the logic of the goggles experiment, which if it as watertight as Heyes argues, should clearly support ape theory of mind if positive, and clearly reject it if negative. This is not the case, since the experiment tests for only one kind of mindreading, “experience projection”: but it is an excellent test for this, given adequate controls.

En este breve comentario discuto algunos aspectos de la interpretación de la epistemología de Davidson que sugiere Willian Duica en su reciente libro. Luego de una presentación somera del libro me centro en tres asuntos centrales de la interpretación de Duica. En primer lugar, argumento que su lectura de la crítica de Davidson al dualismo esquema/contenido es muy restrictiva y deja abierta la posibilidad de un realismo directo empirista. En segundo lugar, argumento que en su lectura el propio Duica se (...) compromete inadvertidamente con un empirismo de este tipo y, de este modo, su interpretación entra en tensión con el coherentismo de Davidson. Finalmente, discuto algunos aspectos de la interpretación que hace Duica de la tesis davidsoniana de la triangulación. In this short comment I discuss some aspects of William Duica's interpretation of Davidson's epistemology in a recent book. After a brief review of the book, I focus on three central issues of Duica's interpretation. First, I argue that his reading of Davidson's criticism of the scheme/content dualism is too restrictive and leaves open the possibility of an empiricist direct realism. Second, I argue in his reading Duica inadvertently commits himself to an empiricism of this sort and, as a result, his interpretation is in tension with Davidson's own coherentism. Finally, I discuss some aspects of Duica's interpretation of Davidsonian triangulation. (shrink)