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)

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)

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)

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)

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)

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)

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.

Although the later Wittgenstein appears as one of the most influential figures in Davidson’s later works on meaning, it is not, for the most part, clear how Davidson interprets and employs Wittgenstein’s ideas. In this paper, I will argue that Davidson’s later works on meaning can be seen as mainly a manifestation of his attempt to accommodate the later Wittgenstein’s basic ideas about meaning and understanding, especially the requirement of drawing the seems right/is right distinction and the way this requirement (...) must be met. These ideas, however, are interpreted by Davidson in his own way. I will then argue that Davidson even attempts to respect Wittgenstein’s quietism, provided that we understand this view in the way Davidson does. Having argued for that, I will finally investigate whether, for Davidson at least, his more theoretical and supposedly explanatory projects, such as that of constructing a formal theory of meaning and his use of the notion of triangulation, are in conflict with this Wittgensteinian quietist view. (shrink)

To demarcate the limits of experimental knowledge, we probe the limits of what might be called an experiment. By appeal to examples of scientific practice from astrophysics and analogue gravity, we demonstrate that the reliability of knowledge regarding certain phenomena gained from an experiment is not circumscribed by the manipulability or accessibility of the target phenomena. Rather, the limits of experimental knowledge are set by the extent to which strategies for what we call ‘inductive triangulation’ are available: that is, (...) the validation of the mode of inductive reasoning involved in the source-target inference via appeal to one or more distinct and independent modes of inductive reasoning. When such strategies are able to partially mitigate reasonable doubt, we can take a theory regarding the phenomena to be well supported by experiment. When such strategies are able to fully mitigate reasonable doubt, we can take a theory regarding the phenomena to be established by experiment. There are good reasons to expect the next generation of analogue experiments to provide genuine knowledge of unmanipulable and inaccessible phenomena such that the relevant theories can be understood as well supported. This article is part of a discussion meeting issue ‘The next generation of analogue gravity experiments’. (shrink)

Using a triangulation of three methods, we devise a framework for the acquisition of the resources vital for the start-up of a business in South Africa. Against the backdrop of the fact that numerous challenges prohibit African immigrants from starting a business, let alone growing the business, we set out to investigate how those who succeed acquired the necessary resources. Within the quantitative paradigm, the survey questionnaire was used to collect and analyze the data. To complement the quantitative approach, (...) personal interviews and focus groups were utilised as the methods within the qualitative approach paradigm. The research revealed that an African immigrant entrepreneur is most likely to be a male between the ages of 19 and 41 who has been forced to immigrate by political circumstances. Once in South Africa, limited job opportunities forced these immigrants into starting up a business. In order of importance, financial, informational, human and physical, resources were identified as being critical for the start-up a business. With respect to the acquisition of resources, African immigrant entrepreneurs unwillingly made use of personal savings to finance their businesses during the start-up phase of the business. Financial resource played a double role in that it determined the main sources of physical resources used. From a human resource perspective, African immigrant entrepreneurs preferred employing South Africans during the start-up phase of the business, and the reverse was true during the growth phase. To a limited extent family labour was involved at both the start-up as well as the operation phases of the business; with formal education and prior experience playing an indirect role as far as the human resources mixed were concerned. In terms of information, African immigrant entrepreneurs made use of two primary sources of information namely; their ethnic networks and friends from somewhere else. -/- . (shrink)

I develop an interpretation of Maurice Merleau-Ponty's concept of motor intentionality, one that emerges out of a reading of his presentation of a now classic case study in neuropathology—patient Johann Schneider—in Phenomenology of Perception. I begin with Merleau-Ponty's prescriptions for how we should use the pathological as a guide to the normal, a method I call triangulation. I then turn to his presentation of Schneider's unusual case. I argue that we should treat all of Schneider's behaviors as pathological, not (...) only his abstract movements, as is commonly acknowledged in the secondary literature, but also crucially his concrete movements. Using these facts of Schneider's illness, I reconstruct a ‘fundamental function’ of consciousness, as Merleau-Ponty called it, in which there are two kinds of bodily agency: the power of the body to be solicited by a situation and the power of the body to project a situation. I propose that these powers became dissociated in Schneider's case, as evidenced by his abstract and concrete movements, while in the normal case, these powers comprise a dynamic unity, enacted as motor intentionality. I also discuss how my interpretation complements Merleau-Ponty's assertion that motor intentions exist between mind and matter. (shrink)

The guiding premise of this chapter is that we, as teachers in higher education, must consider how the content and form of our teaching can foster inclusivity through a responsiveness to neurodiverse learning styles. A narrow pedagogical focus on lectures, textual engagement, and essay-writing threatens to exclude neurodivergent students whose ways of learning and making sense of the world may not be best supported through these traditional forms of pedagogy. As we discuss in this chapter, we, as engineering ethics educators, (...) designed and implemented a new engineering ethics exercise with which we aimed to promote inclusivity at the levels of form and content. At the content level, students were invited to critically engage with inclusivity-undermining ableist assumptions in technology development. This took shape, at the form level, through a hands-on ‘material tinkering’ workshop in which students collaboratively and creatively altered (or ‘hacked’) artifacts used in contexts of disability and healthcare, so as to operationalize values of inclusivity and accessibility. Our hunch was that this hands-on tinkering workshop would simultaneously encourage a meaningful way of engagement with these ethical issues and values, while also enacting a more inclusive learning environment by enriching the range of pedagogical activities and learning formats available to our students.As we aim to show in this chapter, we believe this hunch largely panned out – though there are clear areas for future improvement pertaining to the pilot exercise itself and the research we conducted on the exercise. We begin by offering a description of our tinkering exercise. We discuss the exercise’s source of inspiration (Sect. 16.2.1) and its implementation (Sect. 16.2.2), which is visually captured via photographic documentation. We then discuss (Sect. 16.3) how we utilized a triangulated research method to assess the pedagogical value of the exercise. After we discuss our findings, we conclude by identifying areas for future improvement (Sect. 16.4). (shrink)

There is a famous puzzle in Rorty scholarship: Did or did Rorty not subscribe to a form of realism and truth when he made concessions regarding objectivity to Bjørn Ramberg in 2000? Relatedly, why did Rorty agree with Ramberg but nevertheless insist upon disagreeing with Brandom, though large parts of the research community hold their two respective requests for shifts in Rorty’s stance to be congruous? The present article takes up the discussion and tries, for the first time, to make (...) sense of Rorty’s insistence that there is a difference between Brandom’s notion of “made true by facts” and Ramberg’s notion of “getting things right” by showing that Ramberg’s appropriateness-conditions are fully compatible with Rorty’s revised interpretation of Davidson’s concept of “triangulation,” whereas Brandom’s inferential “made-true-by-facts”-language game is not. The reason why Rorty agrees with Ramberg but not with Brandom, I argue, is that Brandom’s contemporary concept of objectivity, as developed in his contribution to the debate and in his Making It Explicit, works with a scheme-content distinction, whereas Ramberg’s Davidson-based version does not. As many of his critics suppose, Rorty’s concession to Ramberg entails a substantive revision of Rorty’s position, not just a clarification. However, this new position is not in conflict with Rorty’s most important commitment, namely his anti-authoritarianism. The revised account still does not bind him to the forms of realism and truth that his critics favor. The article explains to which forms of realism and truth Rorty’s concessions to Ramberg commit him instead. (shrink)

I argue that Sellars’s naturalization of Kant should be understood in terms of how he used behavioristic psychology and cybernetics. I first explore how Sellars used Edward Tolman’s cognitive-behavioristic psychology to naturalize Kant in the early essay “Language, Rules, and Behavior”. I then turn to Norbert Wiener’s understanding of feedback loops and circular causality. On this basis I argue that Sellars’s distinction between signifying and picturing, which he introduces in “Being and Being Known,” can be understood in terms of what (...) I call cybernetic behaviorism. I interpret picturing in terms of cycles of cybernetic behavior and signifying in terms of coordination between cybernetic behavior systems, or what I call triangulated cybernetic behavior. This leads to a formal, naturalistic understanding of personhood as the capacity to engage in triangulated cybernetic behavior. I conclude by showing that Sellars’s thought has the resources, which he did not exploit, for introducing the concept of second-order cybernetics. This suggests that Sellars’s philosophy of mind could be developed in the direction of autopoiesis and enactivism. (shrink)

The papers collected in this issue were solicited to celebrate the hundredth anniversary of Donald Davidson’s birth. Four of them discuss the implications of Davidson’s views—in particular, his later views on triangulation—for questions that are still very much at the centre of current debates. These are, first, the question whether Saul Kripke’s doubts about meaning and rule-following can be answered without making concessions to the sceptic or to the quietist; second, the question whether a way can be found to (...) answer Davidson’s own doubts about the continuity of non-propositional thought and language; third, the question whether normative properties can be at once causal and prescriptive; fourth, the question whether folk psychological explanations can be at once illuminating and autonomous. The fifth paper reexamines Davidson’s take on the principle of compositionality, which always was at the centre of his theorizing about language. (shrink)

According to the sceptic Saul Kripke envisages in his celebrated book on Wittgenstein on rules and private language, there are no facts about an individual that determine what she means by any given expression. If there are no such facts, the question then is, what justifies the claim that she does use expressions meaningfully? Kripke’s answer, in a nutshell, is that she by and large uses her expressions in conformity with the linguistic standards of the community she belongs to. While (...) Kripke’s sceptical problem has gripped philosophers for over three decades, few, if any, have been satisfied by his proposed solution, and many have struggled to come up with one of their own. The purpose of this paper is to show that a more satisfactory answer to Kripke’s challenge can be developed on the basis of Donald Davidson’s writings on triangulation, the idea of two individuals interacting simultaneously with each other and the world they share. It follows from the triangulation argument that the facts that can be regarded as determining meaning are irreducible. Yet, contra Kripke, they are not mysterious, for the argument does spell out what is needed for an individual’s expressions to be meaningful. (shrink)

The guiding premise of this chapter is that we, as teachers in higher education, must consider how the content and form of our teaching can foster inclusivity through a responsiveness to neurodiverse learning styles. A narrow pedagogical focus on lectures, textual engagement, and essay-writing threatens to exclude neurodivergent students whose ways of learning and making sense of the world may not be best supported through these traditional forms of pedagogy. As we discuss in this chapter, we, as engineering ethics educators, (...) designed and implemented a new engineering ethics exercise with which we aimed to promote inclusivity at the levels of form and content. At the content level, students were invited to critically engage with inclusivity-undermining ableist assumptions in technology development. This took shape, at the formal level, through a hands-on ‘material tinkering’ workshop in which students collaboratively and creatively altered (or ‘hacked’) artifacts used in contexts of disability and healthcare, so as to operationalize values of inclusivity and accessibility. Our hunch was that this hands-on tinkering workshop would simultaneously encourage a meaningful way of engagement with these ethical issues and values, while also enacting a more inclusive learning environment by enriching the range of pedagogical activities and learning formats available to our students. As we aim to show in this chapter, we believe this hunch largely panned out - though there are clear areas for future improvement pertaining to the pilot exercise itself and the research we conducted on the exercise. We begin by offering a description of our tinkering exercise. We discuss the exercise’s source of inspiration (2.1) and its implementation (2.2), which is visually captured via photographic documentation. We then discuss (3) how we utilized a triangulated research method to assess the pedagogical value of the exercise. After we discuss our findings, we conclude by identifying areas for future improvement (4). (shrink)

This chapter looks for “continuity and convergence” between Davidson’s and Wittgenstein’s work, identifies common themes and family resemblances, as well as disagreements, especially in the theory of meaning. I take up in turn: -/- (1) their shared rejection of the utility of an ontology of meanings; (2) a convergence on the idea that we must show rather than say what an expression means; (3) the similarities and differences between them on meaning as use and the sense in which rule following (...) is essential for meaning; (4) the publicity of language, first in connection with radical interpretation; and (5) then with Davidson’s later work on triangulation in securing objective thought. (shrink)

I put forward an externalist theory of social understanding. On this view, psychological sense making takes place in environments that contain both agent and interpreter. The spatial structure of such environments is social, in the sense that its occupants locate its objects by an exercise in triangulation relative to each of their standpoints. This triangulation is achieved in intersubjective interaction and gives rise to a triadic model of the social mind. This model can then be used to make (...) sense of others’ observed actions. Its possession plays a vital role in the development of the capacity for false belief reasoning. The view offers an integrated account of the development of social cognition from primary intersubjectivity to level-2 perspective taking. It incorporates insights from interactionism and mindreading theories of social cognition and thus offers a way out of the stalemate between defenders of the two views. Because psychological sense making is perspectival, the frame problem does not arise for social reasoners: the perspective they bring to bear on the action that is to be interpreted constrains the information they can select to make sense of what others do. (shrink)

Sensibility, in any of its myriad realms – moral, physical, aesthetic, medical and so on – seems to be a paramount case of a higher-level, intentional property, not a basic property. Diderot famously made the bold and attributive move of postulating that matter itself senses, or that sensibility (perhaps better translated ‘sensitivity’ here) is a general or universal property of matter, even if he at times took a step back from this claim and called it a “supposition.” Crucially, sensibility is (...) here playing the role of a ‘booster’: it enables materialism to provide a full and rich account of the phenomena of conscious, sentient life, contrary to what its opponents hold: for if matter can sense, and sensibility is not a merely mechanical process, then the loftiest cognitive plateaus are accessible to materialist analysis, or at least belong to one and the same world as the rest of matter. This was noted by the astute anti-materialist critic, the Abbé Lelarge de Lignac, who, in his 1751 Lettres à un Amériquain, criticized Buffon for “granting to the body [la machine, a common term for the body at the time] a quality which is essential to minds, namely sensibility.” This view, here attributed to Buffon and definitely held by Diderot, was comparatively rare. If we look for the sources of this concept, the most notable ones are physiological and medical treatises by prominent figures such as Robert Whytt, Albrecht von Haller and the Montpellier vitalist Théophile de Bordeu. We then have, or so I shall try to sketch out, an intellectual landscape in which new – or newly articulated – properties such as irritability and sensibility are presented either as an experimental property of muscle fibers, that can be understood mechanistically (Hallerian irritability, as studied recently by Hubert Steinke and Dominique Boury) or a property of matter itself (whether specifically living matter as in Bordeu and his fellow montpelliérains Ménuret and Fouquet, or matter in general, as in Diderot). I am by no means convinced that it is one and the same ‘sensibility’ that is at issue in debates between these figures (as when Bordeu attacks Haller’s distinction between irritability and sensibility and claims that ‘his own’ property of sensibility is both more correct and more fundamental in organic beings), but I am interested in mapping out a topography of the problem of sensibility as property of matter or as vital force in mid-eighteenth-century debates – not an exhaustive cartography of all possible positions or theories, but an attempt to understand the ‘triangulation’ of three views: a vitalist view in which sensibility is fundamental, matching up with a conception of the organism as the sum of parts conceived as little lives (Bordeu et al.); a mechanist, or ‘enhanced mechanist’ view in which one can work upwards, step by step from the basic property of irritability to the higher-level property of sensibility (Haller); and, more eclectic, a materialist view which seeks to combine the mechanistic, componential rigour and explanatory power of the Hallerian approach, with the monistic and metaphysically explosive potential of the vitalist approach (Diderot). It is my hope that examining Diderot in the context of this triangulated topography of sensibility as property sheds light on his famous proclamation regarding sensibility as a universal property of matter. (shrink)

Hegel's philosophy aims at responding to the questions raised by modern scepticism concerning the accessibility of the external world, of other minds, and of one's own mind. A key-role in Hegel's argumentative strategy against modern scepticism is played here by Hegel's theory of recognition. Recognition mediates the constitution of individual self-consciousness and intersubjectivity: self-knowledge is not logically independent of the awareness of other minds. At the same time, recognition institutes the possibility of objective reference to the world. In this way, (...) in Hegel the theory of recognition furnishes a unitary response to the threefold sceptical issue of the accessibility of the external world, of other minds, and of one's own mind. The reference to a common world of public objects is thus possible only thanks to the mediation of recognitive capacities that are naturally possessed and socially articulated, which make possible the triangulation between self, world and others. (shrink)

RÉSUMÉL'interprétation de la philosophie pratique de Donald Davidson proposée par Robert Myers représente correctement maints aspects fondamentaux de sa pensée. Myers soutient à juste titre que Davidson évite les incohérences entre la position internaliste, l'objectivité éthique et le modèle croyance-désir en modifiant des éléments centraux de ce modèle, et que l'alternative proposée par Davidson rend légitime l'extension des arguments de l'interprétation et de la triangulation dans la sphère pratique. Cependant, Myers s’égare à une bifurcation cruciale de la route interprétative. (...) Davidson suit G.E.M. Anscombe sur une voie différente, une voie qui considère les désirs individuels comme constitués en partie par des jugements évaluatifs. (shrink)

To find the neural substrates of consciousness, researchers compare subjects’ neural activity when they are aware of stimuli against neural activity when they are not aware. Ideally, to guarantee that the neural substrates of consciousness—and nothing but the neural substrates of consciousness—are isolated, the only difference between these two contrast conditions should be conscious awareness. Nevertheless, in practice, it is quite challenging to eliminate confounds and irrelevant differences between conscious and unconscious conditions. In particular, there is an often-neglected confound that (...) is crucial to eliminate from neuroimaging studies: task performance. Unless subjects’ task performance is matched (and hence perceptual signal processing is matched), researchers risk finding the neural correlates of perception, rather than conscious perception. Here, we discuss the theoretical motivations for the performance matching framework and review empirical demonstrations of, and theoretical inferences derived from, obtaining differences in consciousness while controlling for task performance. We summarize signal detection theoretic modeling frameworks that explain how it is that we can derive performance-matched differences in consciousness without the effect being trivially driven by differences in criterion setting, and also provide principles for designing experimental paradigms that yield performance-matched differences in awareness. Finally, we address potential technical and theoretical issues that stem from matching performance across conditions of awareness, and we introduce the notion of “triangulation” for designing comprehensive experimental sets that can better reveal the neural substrates of consciousness. (shrink)

Ordinary human perceivers know that visual objects are perceivable from standpoints other than their own. The aim of this paper is to provide an explanation of how perceptual experience equips perceivers with this knowledge. I approach the task by discussing a variety of action-based theories of perception. Some of these theories maintain that standpoint transcendence is required for shape perception. I argue that this standpoint transcendence must take place in the phenomenal present and that it can be explained in terms (...) of the experience of perceivers who jointly attend to an object. Joint perceivers experience objects as being perceived from standpoints other than their own. They operate in what I call “social space”, in which they single out objects by triangulating targets’ locations relative to their co-perceivers’ standpoints on these targets. It is then possible to explain the public character of the objects of individual experience by appeal to what I call “public space”. This is a spatial framework whose locations are presented as standpoints whence joint attention to the target would ensue, were they occupied by co-perceivers. If shape perception requires standpoint transcendence, then shape perceivers operate in public space and are thus capable of singling out targets by triangulating their locations from standpoints other than their own. If it doesn’t, then the introduction of a public spatial framework is an additional step whose introduction explains how perceivers come to experience objects as perceivable from standpoints other than their own. (shrink)

The Western Philippines University – College of Education’s Project MATHEMATICS (Mathematics Enhanced Mentoring, Assistance, and Training to In-need and Challenged Students) was implemented as part of the Adopt-a-School Program to address the mathematical needs of Laura Vicuña Center – Palawan youths. To evaluate the extent of the project implementation, the study assessed its impact through the feedback gathered from the clients served. It specifically described the quality of project implementation, determined the attainment of project objectives, and enumerated client feedback. A (...) concurrent triangulation mixed-method research design was used with 32 clientele samples selected purposively. The study utilized a survey, problem set test, and focus-grouped interview to obtain data pertinent to the study’s objectives. The findings revealed an aspirational quality of the implemented project, improved mathematical performance, and the client’s desire for ongoing mentoring. The implications and limitations of the study are discussed, along with recommendations for future extension projects, monitoring and evaluation, and re-planning activities. (shrink)

In this paper, we propose a mathematical model of subjective experience in terms of classes of hierarchical geometries of representations (“n-awareness”). We first outline a general framework by recalling concepts from higher category theory, homotopy theory, and the theory of (infinity,1)-topoi. We then state three conjectures that enrich this framework. We first propose that the (infinity,1)-category of a geometric structure known as perfectoid diamond is an (infinity,1)-topos. In order to construct a topology on the (infinity,1)-category of diamonds we then propose (...) that topological localization, in the sense of Grothendieck-Rezk-Lurie (infinity,1)-topoi, extends to the (infinity,1)-category of diamonds. We provide a small-scale model using triangulated categories. Finally, our meta-model takes the form of Efimov K-theory of the (infinity,1)-category of perfectoid diamonds, which illustrates structural equivalences between the category of diamonds and subjective experience (i.e.its privacy, self-containedness, and self-reflexivity). Based on this, we investigate implications of the model. We posit a grammar (“n-declension”) for a novel language to express n-awareness, accompanied by a new temporal scheme (“n-time”). Our framework allows us to revisit old problems in the philosophy of time: how is change possible and what do we mean by simultaneity and coincidence? We also examine the notion of “self” within our framework. A new model of personal identity is introduced which resembles a categorical version of the “bundle theory”: selves are not substances in which properties inhere but (weakly) persistent moduli spaces in the K-theory of perfectoid diamonds. (shrink)

Sensation should be understood globally: some infant behaviors do not make sense on the model of separate senses; neonates of all species lack time to learn about the world by triangulating among different senses. Considerations of natural selection favor a global understanding; and the global interpretation is not as opposed to traditional work on sensation as might seem.

The science of mind wandering has rapidly expanded over the past 20 years. During this boom, mind wandering researchers have relied on self-report methods, where participants rate whether their minds were wandering. This is not an historical quirk. Rather, we argue that self-report is indispensable for researchers who study passive phenomena like mind wandering. We consider purportedly “objective” methods that measure mind wandering with eye tracking and machine learning. These measures are validated in terms of how well they predict self-reports, (...) which means that purportedly objective measures of mind wandering retain a subjective core. Mind wandering science cannot break from the cycle of self-report. Skeptics about self-report might conclude that mind wandering science has methodological foundations of sand. We take a rather more optimistic view. We present empirical and philosophical reasons to be confident in self-reports about mind wandering. Empirically, these self-reports are remarkably consistent in their contents and behavioral and neural correlates. Philosophically, self-reports are consistent with our best theories about the function of mind wandering. We argue that this triangulation gives us reason to trust both theory and method. (shrink)

The traditional Javanese tembangs created by Sunan Kalijaga, especially Lir ilir and Kidung Rumekso ing Wengi, have an extraordinary depth of philosophical meaning when associated with Javanese culture. Therefore, this research aims to explore and analyze the philosophical meanings contained in the two tembangs and find out how the spiritual messages in the tembangs are still relevant to the conditions of society in the modern era. The sources of data for this research are (1) interviews with Sunan Kalijaga's descendants, artists (...) in Demak Regency, Demak Regency officials, (2) historical records and scientific articles about Sunan Kalijaga, and (3) direct observation in Demak Regency. This research uses Ferdinand de Saussure's semiotic theory to find out the deeper meaning of the text of the two tembangs. For data validation, this research uses the triangulation method, in order to compare all available data and find a common thread of reliability to be presented as scientific data. In the interpretation stage, the researcher tried to explore the messages contained in the two tembangs, which were analyzed from the lyrics of the tembangs and the opinions of experts found in Demak Regency. The results show that both tembangs contain philosophical teachings on how to achieve wisdom and peace in every episode of human life. They also teach about the importance of establishing a good relationship with God. In addition, this study also revealed that the spiritual messages in these two tembangs are still relevant as a reflection of everyone's spiritual journey in the modern era. (shrink)

This chapter’s main topic revolves around Davidson’s account of radical interpretation and the concept of triangulation as a necessary feature of communication and the formation of beliefs. There are two important implications of this model of belief formation for feminists studying the effects of social location on knowledge production generally, and the production of scientific knowledge in particular. The first is Davidson’s argument that whatever there is to the meaning of any of our beliefs must be available from the (...) radical interpreter’s external, third-person perspective. The second important implication of triangulation is that Davidson’s model is a holistic one that shows that there is no substantive difference in the triangulation process by which we form beliefs concerning basic descriptive features of the world and beliefs concerning evaluative features of the world. (shrink)

The Pomodoro technique is a timed-based strategy used in fighting procrastination and found to increase academic performance. However, its effect on academic learning in a synchronous remote learning modality has yet to be investigated. The study used a mixed triangulation semiexperimental design using a whole sample (N=46), following all ethical equivalence procedures. The genetics concept mastery of the students was tested using a researcher-made test. ANCOVA results revealed that students taught using Pomodoro yielded significantly better concept mastery in genetics (...) than the lecture method. This study contributes to the evaluation of one science teaching strategy compatible with remote learning modality. (shrink)

Foreword to the new edition Acknowledgements Introduction: radically interpreting Davidson I. From translation to interpretation 1. The Quinean background 1.1 Radical translation and naturalized epistemology 1.2 Meaning and indeterminacy 1.3 Analytical hypotheses and charity 2. The Davidsonian project 2.1 The development of a theory of meaning 2.2 The project of radical interpretation 2.3 From charity to triangulation..

Some intentional attitudes (beliefs, fears, desires, etc.) have a common focus in spite of there being no object at that focus. For example, two beliefs may be about the same witch even when there are no witches, different astronomers had beliefs directed at Vulcan, even though there is no such planet. This relation of having a common focus, whether or not there is an actual concrete object at that focus, is called intentional identity. In the first part of this thesis (...) I develop a new theory of intentional identity, the triangulation theory, and argue that it has significant advantages over the extant theories of intentional identity in the literature. Empty attitudes (attitudes that are not, prima facie, about anything that exists) will serve as useful cases for testing theories of intentional identity. -/- In the second part, I put the theory developed in the first part to work. I use triangulation theoretic tools to shed light on other debates about intentional attitudes. Some issues to which intentional identity are relevant are the debate about the content of intentional attitudes, the issue of whether or not we need to appeal to external constraints on the content of intentional attitudes, how we should understand the agreement and disagreement of attitudes, how we should construe communication and how we ought to solve Kripke’s puzzle about belief. The second part of this thesis also motivates a broadly internalist and individualistic approach to the con-tent of intentional attitudes; it turns out that if we take a closer look at the narrowly construed psychological states of agents we find materials that allow us to make sense of phenomena usually associated with externalist constraints on the content of attitudes (such as causal constraints and eligibility constraints) in a new way. (shrink)

The first chapter, "Der Hintergrund von Gadamers 'Phänomenologischen Interpretationen' in Sein und Zeit" traces the origins of Gadamer’s interpretation of the Philebus in Sein und Zeit. Especially important is that Dasein is, thanks to speech , already outside of itself in the world. The second chapter "Gadamers Dialektische Ethik" gives a short summary of the main points of Gadamer's interpretation of the Philebus. The third chapter "Davidsons reinterpretation of von Gadamer's Dialektischer Ethik" 222-231), points especially to the fact that Davidson (...) sees the "Socrates post Vlastos" in the interpretation of Gadamer at work: Because every man is already in possession of some basic truths, coherence is enough to lead to substantive truths. Davidson concludes that only in “interpersonal communication” "can be thought, a grasping of the fact of an objective, that is, a shared world". Thus, Davidson sees in Gadamer's interpretation of the Philebus his own theory of triangulation anticipated. (shrink)

In this paper, I attempt to show how Davidson’s anti-sceptical argument can respond to the closureRK-based radical scepticism. My approach will focus on the closureRK principle rather than the possibility that our beliefs could be massively wrong. I first review Davidson’s principle of charity and the triangulation argument, and then I extract his theory on content of a belief. According to this theory, content of a belief is determined by its typical cause and other relevant beliefs. With this constraint (...) on content, I argue that doubt must be local. Furthermore, since one cannot rationally believe that one’s commitment to the cause of beliefs could be false, our commitment to the denial of a sceptical hypothesis is not a knowledge-apt belief. Therefore, the closureRK principle is not applicable to rational evaluations of this commitment. As a result, the closureRK-based sceptical argument fails while the closureRK principle remains. (shrink)

The epistemology and phenomenology of contemporary society tend to be deepened, and the philosophical challenges never are minimal that we may be called to face with the kind of post-modern chaos from the rapidly changing phenomena of the global community. The ballast held on the identity of faculty members as a teacher and researcher now turns due so as to be recast with our intrinsic of routine performance. I considered their quality as bent on the intellectual strife on the method (...) and the kind of attitude, say, evaluation and consultation. In this paper, the authors have presented some thought and implications that triangulated the triad, i.e., research methodology, program evaluation and consulting illustration on the college research program rankings. The author is hoped that the discourse can help the academicians to share the attribute of different methods as well as the dimension of evaluation and consulting, perhaps essentially related with their work role in terms of teaching and researching. Keywords: Research Method, Qualitative Studies, Mixed Method, Program Evaluation, Theory and Philosophy, Program Rankings, Consulting, Journal Writing. (shrink)

This volume aims to develop a philosophical diagnostic of the present, focussing on contemporary technoscience. psychoanalysis submits contemporary technoscientific discourse to a symptomatic reading, analysing it with evenly-poised attention and from an oblique perspective. Psychoanalysis is not primarily interested in protons, genes or galaxies, but rather in the ways in which they are disclosed and discussed, focussing on the symptomatic terms, the metaphors and paradoxes at work in technoscientific discourse. This monograph presents a psychoanalytical assessment of technoscience. The first four (...) chapters provide a short introduction into the psychoanalysis of technoscience, its basic concepts and methods, as developed Sigmund Freud, Carl Gustav Jung, Gaston Bachelard and Jacques Lacan. In subsequent chapters, this approach is fleshed out with the help of case histories (palaeoanthropology, classical conditioning and virology). Psychoanalysis reveals that, rather than by disinterested curiosity, technoscience is driven by desire, resistance and the will to control. Moreover, the focus is on primal scenes, such as Dubois’ quixotic quest for the missing link and Pavlov’s discovery of the conditioned reflex. In addition, psychoanalysis opts for triangulation: understanding technoscientific research by comparing it to “different scenes”: to genres of the imagination, notably novels, so that, in this volume, the discovery of a Homo erectus skull by Dubois is compared to missing link novels by Jules Verne and Jack London (dating from the same period), Pavlov’s discovery of the conditioned reflex is compared with B.F. Skinner’s novel Walden Two and virology as a research field is considered through the lens of viral fiction. (shrink)

In this paper I argue that Donald Davidson's rejection of the notion of language, as commonly understood in philosophy and linguistics, is justified. However, I argue that his position needs to be supplemented by an account of the development and nurture of pre-linguistic communicative skills. Davidson argues (in ‘A Nice Derangement of Epitaphs' and elsewhere) that knowledge of a language (conceived of as a set of rules or conventions) is neither sufficient nor necessary for 'linguistic' communication. The strongest argument against (...) the initial formulation is that while Davidson may have shown that knowledge of a language is not sufficient, he failed to show that it is not necessary. Subsequently, Davidson has invoked his Triangulation' thesis, to show that understanding can rest on the apprehension of mutuality in a shared objective world, and does not presuppose the sharing of rules or practices. I argue that the starting position arrived at from the triangulation thesis itself presupposes the possibility of communication. The triangulation thesis needs, therefore, to be supplemented by a (non-reductive) naturalistic account of non-linguistic communicative skills. In such an account we must posit shared practices (practices of mutual engagement with a shared world), but not an account of practices conceived on the model of rules or conventions. I note, finally, that by adopting such an approach we offer a way of explicating the formulation of passing theories, which in Davidson's account are the point at which communicative understanding occurs. (shrink)

This research examines the implications of religious moderation on interfaith marriages in the city of Manado. The method used is qualitative with a case study approach; data collection is through observation, interviews, and documentation, which is then processed using the triangulation method. The findings show that religious moderation indirectly influences the sustainability of interfaith marriages in Manado. The implications are realized in the form of religious moderation, which aims to eliminate or minimize violence in the name of religion and (...) uphold diversity through upholding the values of tolerance, thereby increasing guarantees for the continuity of interfaith marriages. These implications become more complex than the laws governing interfaith marriages, especially the Marriage Law (UU Number 16 of 2019) and the Compilation of Islamic Law (KHI). The implications of religious moderation in interfaith marriages underscore the need for legal transformation that recognizes religious diversity as a social asset, encourages interreligious dialogue, and ensures that legal regulations do not hinder individual religious freedom. Encouraging policy reforms that respect differences in beliefs is crucial in creating inclusive spaces and respecting human rights in interfaith marriages. (shrink)

I argue that Donald Davidson's rejection of the notion of language, as commonly understood in philosophy and linguistics, is justified. However, I argue that his position needs to be supplemented by an account of the development and nurture of pre-linguistic communicative skills. Davidson argues (in 'A Nice Derangement of Epitaphs' and elsewhere) that knowledge of a language (conceived of as a set of rules or conventions) is neither sufficient nor necessary for 'linguistic' communication. The strongest argument against the initial formulation (...) is that while Davidson may have shown that knowledge of a language is not sufficient, he failed to show that it is not necessary. Subsequently, Davidson has invoked his 'triangulation' thesis, to show that understanding can rest on the apprehension of mutuality in a shared objective world, and does not presuppose the sharing of rules or practices. I argue that the starting position arrived at from the triangulation thesis itself presupposes the possibility of communication. The triangulation thesis needs, therefore, to be supplemented by a (non-reductive) naturalistic account of non-linguistic communicative skills. In such an account we must posit shared practices (practices of mutual engagement with a shared world), but not an account of practices conceived on the model of rules or conventions. I note, finally, that by adopting such an approach we offer a way of explicating the formulation of passing theories, which in Davidson's account are the point at which communicative understanding occurs. (shrink)

This study aims to find out how high the level and trends of student misconceptions experienced by high school students in Indonesia. The subject of research that is a class XI student of Natural Science (IPA) SMA Negeri 1 Anjatan with the subject matter limit function. Forms of research used in this study is a qualitative research, with a strategy that is descriptive qualitative research. The data analysis focused on the results of the students' answers on the test essay subject (...) matter limit function with the number of students by 16 (sixteen). Data collection techniques used are shaped test methods essay, interview method to students who have misconceptions, and methods of documentation of the test answers. Examination of the validity of the data using a triangulation technique that compares the data written test results with data from interviews. The results of this study can be described as follows; (1) The level of misconceptions experienced by students belonging to the category of low, amounting to 12.18%. However, students who do not understand the concept quite high at 40.38%, and the others are students who understand the concept that is equal to 47.44%. (2) The misconception most experienced students lie in subconcepts explain the meaning of limit function at one point through the calculation of values around that point, that is equal to 20.51%. The tendency misconceptions experienced by students is located on errors and operating concepts that misconceptions students that there should be no limit in the completion of the writing of the emblem and misconceptions about the limit students to conclude if the limit value of 0 is no limit to the value of the function. (shrink)

● Any given placement (e.g. Sun in Taurus; Mars in Capricorn; Mercury in the third house) is necessarily common to tens of thousands of people. Saturn in the ninth house, for example, will not behave the same or produce the same effects in the twenty or one hundred charts in which we find it there. In each case Saturn will behave in accordance with the rest of the astrographic/chart composition (as if we stayed in the same hotel in different epochs (...) or different people contracted the same disease; our stay will be different each time, according to the epoch, and each person’s symptoms will too, be different, according to their individual biochemistry; not to mention that each chart or astrography, like each genetic code or sequence, is unrepeatable). Certainly, “no planet can produce, on its own, what only the combined or concerted action of all can” (BUSTAMANTE, 2023, SPICA magazine, pp. 93-111). Hence the synergistic nature of the interpretative exercise (i.e., the whole is greater than all its parts). The fundamental component of the mathematical expression of the interpretive exercise is: astrological triangulation, the functional denomination for what we know as synthesis (WEISS, 1946; LEO, 1983, HAND, 1981). In order to demonstrate its usefulness, as well as the convenience of its mathematical expression, we have chosen two individuals (JEFFREY DAHMER, STEVEN SPIELBERG) whose astrographies do not—according to the community—explain their lives. The rest of the astrographies correspond to those of serial killers JOHN WAYNE GACY, DAVID CARPENTER, and TED BUNDY. ● We explain, by means of algebraic notations, the synthesis and the functional values that make up the synthesis. ● We take the Moon and Neptune as relevant bodies for the purpose of diagnosing or studying endocrine or neurohormonal issues, and Mars, Pluto, and Saturn as relevant planets for the purpose of inferring violence or sinister behaviour, upon the case, and quadratures or oppositions—and conjunctions—between Venus and the Moon, the Moon and Neptune, and the Sun or Venus and Neptune or Uranus as indicators of neurohormonal disorders and/or sexual deviance (APA definition) . ● We consider quadratures (90º) or oppositions (180º)—and conjunctions—between Mercury or the Moon and Saturn, or between Mars or the Moon and Saturn, Uranus, Neptune, and/or Pluto as powerful indications of violence or mental disorders, upon the case. ● We have also regarded Sagittarius as a sign as expansive and abundant as its ruler, Jupiter, according to the best of its characterisations (or as an exceptionally swift and wild sign, according to other characterisations), and the fifth region of a natal chart as one closely related to fortune in a broad sense (material and immaterial). ● Because we advocate the idea that orbs should be predicated of the planet (size, speed), not the aspect itself, the gas giants (Jupiter, Saturn, Uranus, and Neptune) and the Sun have been granted up to 10º of orb (or 12º, in the case of broad influence ). We understand aspectual relationships as angular relationships held between two or more celestial bodies placed in signs with at least one property in common (according to our molecular theory of the ecliptic, compatible with the optical theory of the aspects from the Hellenistic tradition). (shrink)

There seems to be a difficulty in the practice of metaphysics, in that any methodology used in metaphysical study relies on certain presuppositions, whereby it seems that metaphysical results are relative to those presuppositions. What is needed is a methodology that can yield objective metaphysical results that are not limited by the presuppositions of that methodology. This paper argues for a way to triangulate on stable metaphysical results by using existing methodologies as perspectives on metaphysical topics, and by reducing the (...) differences between those perspectives to non-perspectival truths, if possible. (shrink)

Relativity Theory by Albert Einstein has been so far littleconsidered by cognitive scientists, notwithstanding its undisputedscientific and philosophical moment. Unfortunately, we don't have adiary or notebook as cognitively useful as Faraday's. But physicshistorians and philosophers have done a great job that is relevant bothfor the study of the scientist's reasoning and the philosophy ofscience. I will try here to highlight the fertility of a `triangulation'using cognitive psychology, history of science and philosophy of sciencein starting answering a clearly very complex (...) question:why did Einstein discover Relativity Theory? Here we arenot much concerned with the unending question of precisely whatEinstein discovered, that still remains unanswered, for we have noconsensus over the exact nature of the theory's foundations. We are mainly interested in starting to answer the`how question', and especially the following sub-question: what were his goals and strategies in hissearch? I will base my argument on fundamental publications ofEinstein, aiming at pointing out a theory-specific heuristic, settingboth a goal and a strategy: covariance/invariance.The result has significance in theory formation in science, especiallyin concept and model building. It also raises other questions that gobeyond the aim of this paper: why was he so confident in suchheuristic? Why didn't many other scientists use it? Where did he keep? such a heuristic? Do we have any other examples ofsimilar heuristic search in other scientific problemsolving? (shrink)

Is attention both necessary and sufficient for consciousness? Call this central question of this treatise, “Q.” We commonly have the experience of consciously paying attention to something, but is it possible to be conscious of something you are not attending to, or to attend to something of which you are not conscious? Where might we find examples of these? This treatise is a quest to find an answer to Q in two parts. Part I reviews the foundations upon which the (...) discourse on Q is built. Different inputs to Q produce different answers. After consideration of the many ways “attention” and “consciousness” have been defined, I settle upon phenomenal consciousness and Executive Attention (defined as a suite of strategies for structuring cognition for further processing implemented by the executive of working memory) as the most interesting inputs to Q, and the ones on which Part II focuses. Attention without consciousness seems relatively easy to establish empirically, but consciousness without attention is much harder. The putative candidates all seem to have major problems, but I build a strong abductive case for the hitherto ignored case of foveal phenomenal overflow. We consciously see far more detail in our foveal fields than we can Executively Attend, although there is a serious obstacle to our ever confirming that empirically—identifying conscious content relies on Executive Attentional report. Triangulating the capacity limitations of attention, consciousness, and working memory strengthens this case for consciousness without attention, and suggests that cognition must work something like my “Witches’ Hat Model,” on which content can become conscious outside of Executive Attention or working memory. I conclude with some reflections on the implications of my arguments for the discourse on Q, and for other discourses such as the ontologies of attention and consciousness, theories of consciousness, some other cognitive concepts, and ethical considerations in humans, animals, and machines. A conclusive answer to Q continues to elude us. It may perhaps be an ultimately insoluble conundrum. But it is the very essence of humanity to seek an answer, and in so doing, to improve our understanding of our own nature: “The proper study of mankind is man.”1. (shrink)

This study aims to (1) describe the application of the roundtable cooperative model on narrative text teaching materials, (2) describe students’ responses to the application of the roundtable cooperative model on narrative text teaching materials, (3) describe the increase in students’ knowledge of narrative text teaching materials. The type of research used was classroom action research. Data collection techniques were observation, interviews, questionnaires, tests, and documentation. The data in this study were in the form of application, response, and increase in (...) students’ knowledge of implementing the roundtable cooperative model on narrative text teaching materials. Data were analyzed using interactive techniques, including data reduction, presentation, and concluding. The data validation technique used data and method triangulation. The study results show that (1) applying the roundtable cooperative model to narrative text teaching materials can improve students’ understanding and writing skills. These improvements include structure, storyline or sequence of events, writing development, and completeness of information according to the theme; (2) students’ responses to the application of the roundtable cooperative model show that 90.3% agree to use the cooperative model in narrative text teaching materials and 9.7% do not agree; (3) there is an increase in student learning outcomes. Before applying the roundtable cooperative model, the students get an average score of 56, and after applying it, they get an average score of 69. The results show that the roundtable cooperative model can be used in the learning process by using media that supports the roundtable cooperative model and teaching materials. (shrink)

In the dimension of education quality, it has become quite popular in recent tenure, as internationally it is analyzed that education is exaggerated towards the context of faculty approach and their brilliance in the respective field. This study focused on the attitudes and beliefs that stop/encourage them to focus on the methodological shifts and the role of professional development in their lectures and make them more interesting for the students. This research is qualitative. The analytical triangulation concept has been (...) used for the collection of the data; three different sources were used to authenticate the data and the accuracy of the responses Open-ended questionnaires, Focus Groups, and interviews were the data collection method used in this research study. It has been found that there are several internal and external pressures on the faculty members that create hurdles to focus on their teaching methodologies. Too many responsibilities latch them with too much pressure and no time to think about the teaching methodologies. Further, specialists ought to ponder all facets and worries of the teaching staff and encourage the faculty members to implement innovative methods as well as improve pedagogies. (shrink)

This study sought to investigate the Human Resource and Management (HRM) Program of a preschool hereinafter referred to as the Early Years Learning Center (EYLC) in Mandaluyong City for purposes of this research study. This is a qualitative case study that delved particularly into the issue of employee retention, especially of seasoned teachers and staff of the subject learning center. It used the interview method to generate an in-depth analysis as it revisited its HRM Program. To triangulate the data gathered, (...) documents from websites and social media as well as artifacts were also utilized. There is a dearth of research on the Human Resource and Management Program in preschool education. Most studies are from India and China. In terms of the HRM Program in education, SWOT analysis was frequently used to help improve the program. There were negligible sources that used the balanced scorecard at the preschool level. Hence, a combination of the SWOT analysis and the Balanced Scorecard method were utilized - the SWOT Analysis to determine the problems the learning center faces vis-à-vis its HRM Program, and the balanced scorecard in the search for a solution or strategy to help solve the problem. Based on the study, these combined tools proved to be effective in revisiting the HRM Program of schools. After interviewing the Directress of EYLC, findings disclosed that to be able to improve the retention of employees in the learning center, the focus should be given to the hiring policies and procedures keeping in mind the job security of its targeted employees. This brings forward concerns over advertising schemes utilizing different venues and platforms as well as issues involving the provision of seasoned employees with a retirement package, comprehensive Health Management Organization (HMO), and a continuing professional development program. (shrink)

Often ZF practice includes the use of the meta-theoretical notion of classes as shorthand expressions or in order to simplify the understanding of conceptual resources. NBG theory expresses formally the internalization of this feature in set theory; in this case, classes, before used metatheoretically, will also be captured by quantifiers of the first order theory. Never- theless there is a widespread opinion that this internalization of classes is harmless. In this context, it is common to refer to the conservativeness of (...) NBG in relation to ZF as a sufficient condition to understand those theories as “equivalent”, attributing a sense of virtuality to the use of classes quantified in NBG. We believe, however, that a technique used to estab- lish relationships between theories is not necessarily neutral in relation to its results - so a conservativeness established through models have different meaning and depth of that rela- tionship established by finitary interpretations. We believe, therefore, that the way in which relationships between theories are established influences the analysis result. In the case of the relationship between NBG and ZF, since NBG is finitely axiomatizible and ZF not, we believe that we have sufficient reasons to assert that the use of different analysis tools may re- veal differences such as expressiveness, ontological commitment and logical conservativeness. Therefore, this project aims to clarify the relationship between these two theories through triangulations between them and the different analysis tools. The use of finitary techniques, in this case, may prove greater expressiveness and ontological commitment of NBG in relation to ZF - relation obscured by an infinitary approach. We believe that, through this research, we can contribute to the debate on the basis of mathematics, denaturalizing the supposedly “equivalent” use of NBG and ZF for this purpose. (shrink)