In this paper we introduce Critical Praxeological Analysis (CPA). CPA respecifies critical studies and research by operationalising insights from gestalt psychology and, in particular, the praxeological and linguistic gestalts identified by Harold Garfinkel and Ludwig Wittgenstein. CPA offers a framework for analysing the in-situ production, maintenance, challenging, repair and overcoming of norms and structures. Using naturally occurring data, as well as fictional and imagined examples, CPA examines the meanings that situations have for the participants who constitute them. The (...) paper provides brief praxeological analyses, which draw upon themes from Frantz Fanon’s work to illustrate CPA in practice. We conclude by inviting others to apply CPA to themes drawn from the critical studies literature, in the hope that such analyses will deepen our understanding of how norms and structures are produced, maintained, challenged, repaired and overcome in interaction. (shrink)

Reciprocal Ethics is a novel ethical framework rooted in praxeology, the study of purposeful action. It represents an entirely new paradigm in moral philosophy, placing interaction at the core of universal ethics. Traditional ethical theories often divorce thought from action. Reciprocal Ethics contends that they are two aspects of the same phenomenon in the human experience, removing the traditional boundary between theoretical and practical ethics. The system categorizes all social interaction as either “self-directed” or “other-directed”, and by introducing the concept (...) of "normative signaling" it also exerts legitimate prescriptive power. The theory is a self-consistent, purely descriptive approach to ethics, that suggests that one's actions serve as semiotic signs that signal one's ethical stance in social interaction. Hence actions do not only define individual moral profiles, but also the moral ecosystem within which one actually operates. The theory operates in real time, adapting to the complexity of reality by taking into account uncertainty, incomplete data and social asymmetries. Reconciling elements of consequentialism and deontological theories, Reciprocal Ethics delivers a streamlined, yet comprehensive ethical system for social interaction, offering tangible insights for navigating complex moral dilemmas. By synthesizing descriptive metaethics and normative moral philosophy into one comprehensive formal theory, a bold assertion arises: Reciprocal Ethics becomes the Formal Science of Ethics. (shrink)

The main purpose of this article is to tackle the problem of living together – as dignified human beings – in a certain territory in the field of social philosophy, on the theoretical grounding ensured by some remarkable exponents of the Austrian School − and by means of the praxeologic method. Because political tools diminish the human nature not only of those who use them, but also of those who undergo their effects, people can live a life worthy of (...) a human being only as members of some autarchic or self-governing communities. As a spontaneous order, every autarchic community is inherently democratic, inasmuch as it makes possible free involvement, peaceful coordination, free expression and the free reproduction of ideas. The members of autarchic communities are moral individuals who avoid aggression, practice self-control, seek a dynamical efficiency and establish a democratic public discourse. (shrink)

Ludwig von Mises’s methodological apriorism is frequently attributed to the broader Austrian School of economics, of which, of course, Mises was a prominent member. However, there is considerable controversy concerning the meaning of Mises’s various attempts to justify his apriorism. There are prima facie inconsistencies within and across Mises’s methodological writings that engender massive confusion in the secondary literature. This confusion is aggravated by the fact that Mises’s apriorism cannot be straightforwardly interpreted as an artifact of his historical milieu. Indeed, (...) the two prevailing families of interpretation both treat Mises’s apriorism as radically anachronistic, albeit in different senses. According to “extreme” interpretations, Mises’s apriorism reflects an epistemology several decades, if not centuries, beyond its expiration date. According to “moderate” interpretations, however, Mises’s apriorism anticipates ideas that would not appear in the epistemological literature for several decades to come. Finally, there is evidence to suggest that Mises’s actual methodological beliefs are not reflected in his writings, that Mises either obfuscated or exaggerated his methodological position, for whatever reasons, making it seem more radical than it was in fact. I conclude that we have no idea what justification Mises actually intended when he asserted the a priori nature of the fundamental propositions of economics. If this is right, then, whatever method(s) they follow, Austrian economists cannot (deliberately) follow Mises’s apriorism. (shrink)

1 Context The idea for the current issue of _Philosophia Scientiæ_ emerged from discussions which took place in the Manchester Ethnomethodology Reading Group. This reading group has its origins in Wes Sharrock’s weekly discussion groups, which have taken place in Manchester (UK) since the early 1970s. As the global Covid-19 pandemic hit in early 2020, the reading group moved online, facilitated by Phil Hutchinson and Alex Holder. Being an online reading group opened up participation to people beyond Northwest UK and (...) within weeks the group became global, with the membership including participants logging on from Canada, Czech Republic, Finland, France, Germany, Greece, Hong Kong, Japan, Macau, New Zealand, Spain, Sweden, and the USA. While the name of the group might indicate an exclusive focus on ethnomethodology, following the naming conventions for academic discussion groups, the name really fails to indicate both the heterogeneity of the group’s reading materials, the interests of t... (shrink)

Many philosophers claim to employ intuitions in their philosophical arguments. Others contest that no such intuitions are used frequently or at all in philosophy. This article suggests and defends a conception of intuitions as part of the philosophical method: intuitions are special types of philosophical assumptions to which we are invited to assent, often as premises in argument, that may serve an independent function in philosophical argument and that are not formed through a purely inferential process. A series of (...) philosophical case studies shows that intuitions in these arguments contain the relevant features. The view has implications for philosophical method, offering a compromise between opponents on the divisive debate of the merits of experimental philosophy: experimental philosophy provides an especially useful role in philosophical assumption analysis. (shrink)

Philosophy is a subject which does not concerned only to an expert or specialist. It appears that there is probably no human being who does not philosophise. Good philosophy expands one’s imagination as some philosophy is close to us, whoever we are. Then of course some is further away, and some is further still, and some is very alien indeed. We raise questions about the assumptions, presuppositions, or definitions upon which a field of inquiry is based, and these questions can (...) be concerned with the meaning, significance, or integration of the results discovered or proposed by a field of inquiry. We find Karmic, Bhaktic and Jnanic interpretations of an ancient text in Indian philosophy because of different approaches adopted to inquire the text. This paper is an attempt to draw an outline of Upanishadic methods of inquiry in Indian philosophical tradition. Several methods like Enigmatic, Aphoristic, Etymological, Mythical, Analogical, Dialectical, Synthetic, Monologic, Temporising and Regressive methods etc. we can find in Upanishads. (shrink)

The aim of this paper is to argue that intuitive methods of moral decision making are objective tools on the grounds that they are reasons based. First, I will conduct a preliminary analysis in which I highlight the acceptance of methodological pluralism in the practice of medical ethics. Here, the point is to show the possibility of using intuitive methods given the pluralism framework. Second, I will argue that the best starting point of elaborating such methods is a bottom-up perspective. (...) Third, I will address the worry of subjectivism. Under the influence of certain rationalist positions and recent developments in cognitive science and moral psychology, one might think that intuitive methods of moral decision making are essentially subjective and emotion based. If moral intuitions are the result of emotional reactions and intuitive reasoning is emotionally driven, then there are reasons to believe intuitive methods are subjective and relative to particular psychological constitution. Against this picture, I will argue that intuitive methods of moral decision making are essentially reasons-based. A Wittgensteinian approach will show that intuitive methods of moral decision making are conceptually linked with criteria of morality. (shrink)

This paper examines whether, and how, Foucauldian genealogy travels to contexts and problematizations beyond the method's European site of articulation. Our particular focus is on the work of Colombian philosopher Santiago Castro-Gómez, whose work includes both a systematic defense of the usefulness of Foucauldian inquiry for decolonial study and genealogical inquiry in a Foucauldian spirit but in a context beyond Foucault's own horizon of study. We show that taking up Foucault's work in the context of Latin America leads Castro-Gómez (...) to significantly change Foucauldian concepts, categories, and methods. We further survey the potential synergies of decolonial thought and Foucauldian critique, while also highlighting how their joint mobilization requires a revision and problematization of key commitments of both approaches. (shrink)

It is a common view that arguments from analogy can only be evaluated on a case-by-case basis. However, while this reflects an important insight, I propose instead a relatively simple method for their evaluation based on just (i) their general form and (ii) four core questions. One clear advantage of this proposal is that it does not depend on any substantial (and controversial) view of similarity, unlike influential current alternative methods, such as Walton’s. Following some initial clarification of the (...) notion of analogy and similarity, I demonstrate the strength of this method by analysing and evaluating three prominent arguments from analogy. (shrink)

The use of “levels of abstraction” in philosophical analysis (levelism) has recently come under attack. In this paper, I argue that a refined version of epistemological levelism should be retained as a fundamental method, called the method of levels of abstraction. After a brief introduction, in section “Some Definitions and Preliminary Examples” the nature and applicability of the epistemological method of levels of abstraction is clarified. In section “A Classic Application of the Method ofion”, the philosophical (...) fruitfulness of the new method is shown by using Kant’s classic discussion of the “antinomies of pure reason” as an example. In section “The Philosophy of the Method of Abstraction”, the method is further specified and supported by distinguishing it from three other forms of “levelism”: (i) levels of organisation; (ii) levels of explanation and (iii) conceptual schemes. In that context, the problems of relativism and antirealism are also briefly addressed. The conclusion discusses some of the work that lies ahead, two potential limitations of the method and some results that have already been obtained by applying the method to some long-standing philosophical problems. (shrink)

(This is for the Cambridge Handbook of Analytic Philosophy, edited by Marcus Rossberg) In this handbook entry, I survey the different ways in which formal mathematical methods have been applied to philosophical questions throughout the history of analytic philosophy. I consider: formalization in symbolic logic, with examples such as Aquinas’ third way and Anselm’s ontological argument; Bayesian confirmation theory, with examples such as the fine-tuning argument for God and the paradox of the ravens; foundations of mathematics, with examples such as (...) Hilbert’s programme and Gödel’s incompleteness theorems; social choice theory, with examples such as Condorcet’s paradox and Arrow’s theorem; ‘how possibly’ results, with examples such as Condorcet’s jury theorem and recent work on intersectionality theory; and the application of advanced mathematics in philosophy, with examples such as accuracy-first epistemology. (shrink)

What is the relation between method and truth? Are we justified in accepting a theory that satisfies the rules of scientific method as true? Such questions divide realism from anti-realism in the philosophy of science. Scientific realists take the methods of science to promote the realist aim of correspondence truth. Anti-realists either claim that the methods of science promote lesser epistemic goals than realist truth, or else they reject the realist conception of truth altogether. In this paper, I (...) propose a realist theory of the relation between method and truth. The theory consists of three basic elements: (a) a naturalistic treatment of epistemic normativity, (b) an instrumentalist conception of the nature of methodological rules, and (c) an abductive argument for the truth-conduciveness of the rules of scientific method. (shrink)

Justification of theorems plays a vital role in any rational human activity. It is indispensable in science. The deductive method of justifying theorems is used in all sciences and it is the only method of justifying theorems in deductive disciplines. It is based on the notion of proof, thus it is a method of proving theorems. In the Warsaw School of Logic (WSL) – the famous branch of the Lvov-Warsaw School (LWS) – two types of the (...) class='Hi'>method: axiomatic deduction method and natural deduction method were developed and practiced. In this paper, both of these methods are briefly discussed with an emphasis on their historical, groundbreaking significance for logic. The axiomatic method by means of rejection (proposed by Jan Łukasiewicz – a co-creator of the WSL), which is the method of the so-called rejection proof (rejection/refutation method) in logical systems and the proving method of generalized natural deduction, which is a hybrid deduction–refutation method of proving theorems, are also outlined in the paper. The author discusses their historical significance. This paper also contains a brief mention of the most significant results which the application of the discussed methods introduced into contemporary scientific research, not only logical one. (shrink)

Methods have been a controversial element in theories of knowledge for the last 40 years. Recent developments in theories of justification, concerning the identification and individuation of belief-forming processes, can shed new light on methods, solving some longstanding problems in the theory of knowledge. We needn’t and shouldn’t shy away from methods; rather, methods, construed as psychological processes of belief-formation, need to play a central role in any credible theory of knowledge.

In this paper, I argue that the method of cases (namely, the method of using intuitive judgments elicited by intuition pumps as evidence for and/or against philosophical theories) is not a reliable method of generating evidence for and/or against philosophical theories. In other words, the method of cases is unlikely to generate accurate judgments more often than not. This is so because, if perception and intuition are analogous in epistemically relevant respects, then using intuition pumps to (...) elicit intuitive judgments is like using illusions to elicit perceptual judgments. In both cases, judgments are made under bad epistemic circumstances. (shrink)

This paper offers a practical argument for metaphysical emergence. The main message is that the growing reliance on so-called irrational scientific methods provides evidence that objects of science are indecomposable and as such, are better described by metaphysical emergence as opposed to the prevalent reductionistic metaphysics. I show that a potential counterargument that science will eventually reduce everything to physics has little weight given where science is heading with its current methodological trend. I substantiate my arguments by detailed examples from (...) biological engineering, but the conclusions are extendable beyond that discipline. (shrink)

Science is founded on a method based on critical thinking. A prerequisite for this is not only a sufficient command of language but also the comprehension of the basic concepts underlying our understanding of reality. This constraint implies an awareness of the fact that the truth of the World is not directly accessible to us, but can only be glimpsed through the construction of mod- els designed to anticipate its behaviour. Because the relationship between models and reality rests on (...) the interpretation of founding postulates and in- stantiations of their predictions (and is therefore deeply rooted in language and culture), there can be no demarcation between science and non-science. However, critical thinking is essential to ensure that the link between models and reality is gradually made more adequate to reality, based on what has already been established, thus guaranteeing that science progresses on this basis and excluding any form of relativism. (shrink)

The method of contrast is used within philosophy of perception in order to demonstrate that a specific property could be part of our perception. The method is based on two passages. I argue that the method succeeds in its task only if the intuition of the difference, which constitutes the core of the first passage, has two specific traits. The second passage of the method consists in the evaluation of the available explanations of this difference. Among (...) the three outlined options, I will demonstrate that only in the third option – as we shall see, the case of the scenario that remains the same but is perceived in two different ways by the same perceiver – the intuition purports a difference that posses the necessary characteristics, namely being immediately evident and extremely complex and multifaceted, which determine its tensive nature. The application within auditory perception of this third option will generate two cases, a diachronic one and a synchronic one, which clearly show that we can auditorily perceive causality as a link between two sonorous episodes. The causal explanation is the only possible explanation among the many evaluated within the second passage of the method of contrast. (shrink)

In this chapter, I defend the program of conceptual analysis, broadly construed, and the method of thought experiments in epistemology, as a first-person enterprise, that is, as one which draws on the investigator's own competence in the relevant concepts. I do not suggest that epistemology is limited to conceptual analysis, that it does not have important a posteriori elements, that it should not draw on empirical work wherever relevant (and non-question begging), or that it is not a communal enterprise. (...) Although discussion in the space available will necessarily be brief, and many points must be elided altogether, I aim to sketch salient features of the landscape, clarify issues, set aside some confusions, and outline responses to some recent challenges. In §2, I sketch a traditional account of concepts and conceptual truths. In §3, I review a broad conception of analysis as encompassing not just reduction but also articulation of conceptual connections. In §4, I address the charge that in studying epistemic concepts we turn away from our proper target of study, the actual phenomena of knowledge, justification, and so on. In §5, I give a brief overview of the method of thought experiments. In §6, I address objections to thought experiments that have their source in "experimental philosophy." In §7, I address the charge that pursuing conceptual analysis in epistemology is misplaced because 'knowledge', 'justification', 'evidence' and so on, are natural kind terms, and hence that we must engage in empirical research to discover the real essences of the kinds they pick out (if any). (shrink)

Mixing methods is a well-known innovative meth- odologic proposal for research in the second half of the 20th century social sciences. Reading literature about it, I observed the aspect that justifies this paper: Authors of theoretical contributions on mixing methods recognized that this was known to be a practice already in use many centuries ago. Some of them even have re-examined the whole history of the scientific method to search precedents. They are however individual and theoretical precedents. I add (...) in this paper the practical projection of these and other methodological theories on people’s training from Greek classical times. My hypothesis is that liberal arts was the basic syllabus in Western -and westernized- educaion for more than a millennium in such a way that results of their training precisely involved to mixing methods. In return, to understand the liberal arts in the light of mixing methods shows new aspects of their historical interest. I study the theoretical basis of this syllabus from Cicero to Alcuin. More important for future research, I conclude that Alcuin’s thesis about the correspondence between the gifts of the Holy Spiritu and the seven liberal arts can be extended to the Aristotelian dianoethics habits and to Dilthey’s 20th-century sciences of mind. (shrink)

Here, we try to show that the method used in -/- Theory of Fuzzy Time Computation(TC * vs TC, TQC). 2023. ￿hal-04330281￿ -/- is a general method that sheds light on various types of problems. The author choose the navier stocks problem, to check the possibility of solving this problem by this method. This text is a guideline of possible proof of this problem.

Management decision-making is a daily task that managers of various levels solve in every organization. Degree of difficulty of this process depends on the scope of authority, responsibility level, manager’s position in organizational hierarchy; on the changes in the environment, unpredictability of which causes emergence of significant amounts of alternatives. For this reason, managers do not rely only on intuition or personal experience (which limited with selective perception, cognitive ability, ability to withstand stress and/or the presence of bias), but use (...) tools (methods) that have stood the test of time and practice; are based at the analysis of a significant amount of primary and secondary information; involve team-building to find the optimal option or to generate ideas. A significant amount of research papers are devoted to such methods, however, the author forms a synergetic approach which contains a detailed analysis of their correlation with the key factors of the competitiveness of enterprise, such as organizational culture and leadership. Existing decision-making practices, problems and style of management at the tourism enterprises are revealed from conducted survey (the first half of 2014) in tourism firms of Dnepropetrovsk and Zaporizhzhia regions of Ukraine, in which 729 tourism managers took part. The most popular decision-making practices in tourism branch were specified, among them are modeling and monitoring of previous results. The study proved the hypothesis of the author concerning strong connection of decision-making management and type of organizational culture. Moreover, 63% of managers were dissatisfied with low attention to organizational culture at their companies. The basis for future research and the synergetic matrix for decision-making management were worked out in the article which give preconditions for further studies and improvements in tourism management of Ukrainian enterprises. (shrink)

The argument diagramming method developed by Monroe C. Beardsley in his (1950) book Practical Logic, which has since become the gold standard for diagramming arguments in informal logic, makes it possible to map the relation between premises and conclusions of a chain of reasoning in relatively complex ways. The method has since been adapted and developed in a number of directions by many contemporary informal logicians and argumentation theorists. It has proved useful in practical applications and especially pedagogically (...) in teaching basic logic and critical reasoning skills at all levels of scientific education. I propose in this essay to build on Beardsley diagramming techniques to refine and supplement their structural tools for visualizing logical relationships in a number of categories not originally accommodated by Beardsley diagramming, including circular reasoning, reductio ad absurdum arguments, and efforts to dispute and contradict arguments, with applications and analysis. (shrink)

Reliabilism is an intuitive and attractive view about epistemic justification. However, it has many well-known problems. I offer a novel condition on reliabilist theories of justification. This method coherence condition requires that a method be appropriately tested by appeal to a subject’s other belief-forming methods. Adding this condition to reliabilism provides a solution to epistemic circularity worries, including the bootstrapping problem.

Aristotle’s influence on D’Arcy Thompson was praised by Thompson himself and has been recognized by others in various respects, including the aesthetic and normative dimensions of biology, and the multicausal explanation of living forms. This article focuses on the relatedness of organic forms, one of the core problems addressed by both Aristotle’s History of Animals (HA), and the renowned chapter of Thompson’s On Growth and Form (G&F), “On the Theory of Transformations, or the Comparison of Related Forms.” We contend that, (...) far from being an incidental inspiration stemming from Thompson’s classicist background, his translation of HA played a pivotal role in developing his theory of transformations. Furthermore, we argue that Thompson’s interpretation of the Aristotelian method of comparison challenges the prevailing view of Aristotle as the founder of “typological essentialism,” and is a key episode in the revision of this narrative. Thompson understood that the method Aristotle used in HA to compare animal forms is better comprehended as a “method of transformations,” leading to a morphological arrangement of animal diversity, as opposed to a taxonomical classification. Finally, we examine how this approach to the relatedness of forms lay the foundation for a causal understanding of parts and their interconnections. Although Aristotle and Thompson emphasized distinct types of causes, we contend that they both differ in a fundamental sense from the one introduced by Darwin’s theory of natural selection, which was formulated as a solution to the species problem rather than the form problem. We conclude that Thompson’s interpretation of Aristotle’s approach to form comparison has not only impacted contemporary scholarship on Aristotle’s biology, but revitalized a perspective that has regained significance due to the resurgence of the problem of form in evo-devo. (shrink)

This paper provides a critical review of the debate over the philosophical foundations of mixed methods research and examines the notion of philosophical foundations. It distinguishes axiology-oriented from ontology-oriented philosophical foundations. It also identifies three different senses of philosophical foundations of mixed methods research. The weak sense of philosophical foundations (e.g., pragmatism) merely allows the possibility of the integration of both quantitative and qualitative methods/data/designs. The moderate sense of philosophical foundations (e.g., transformativism) provide a good reason to use mixed methods (...) in (at least some) social scientific research. The strong sense of philosophical foundations (e.g., dialectical pluralism) justifies a normative thesis that mixed methods research should be encouraged in (at least some) social scientific research. (shrink)

Given some of the various possible impacts of clinical germline editing, we can expect robust disagreement about how best to regulate it. One can point to examples of the promise of editing: “rough...

Darwin’s treatment of morality in The Descent of Man has generated a wide variety of responses among moral philosophers. Among these is the dismissal of evolution as irrelevant to ethics by Darwin’s contemporary Henry Sidgwick; the last, and arguably the greatest, of the Nineteenth Century British Utilitarians. This paper offers a re-examination of Sidgwick’s response to evolutionary considerations as irrelevant to ethics and the absence of any engagement with Darwin’s work in Sidgwick’s main ethical treatise, The Methods of Ethics . (...) This assessment of Sidgwick’s response to Darwin’s work is shown to have significance for a number of ongoing controversies in contemporary metaethics. (shrink)

The linear programming method is one of the important methods of operations research that has been used to address many practical issues and provided optimal solutions for many institutions and companies, which helped decision makers make ideal decisions through which companies and institutions achieved maximum profit, but these solutions remain ideal and appropriate in If the conditions surrounding the work environment are stable, because any change in the data provided will affect the optimal solution and to avoid losses and (...) achieve maximum profit, we have, in previous research, reformulated the linear models using the concepts of neutrosophic science, the science that takes into account the instability of conditions and fluctuations in the work environment and leaves nothing to chance. While taking data, neutrosophic values carry some indeterminacy, giving a margin of freedom to decision makers. In another research, we reformulated one of the most important methods used to solve linear models, which is the simplex method, using the concepts of this science, and as a continuation of what we did in the previous two researches, we will reformulate in this research. The graphical method for solving linear models using the concepts of neutrosophics. We will also shed light on a case that is rarely mentioned in most operations research references, which is that when the difference between the number of unknowns and the number of constraints is equal to one, two, or three, we can also find the optimal solution graphically for some linear models. This is done by taking advantage of the conditions of non-negativity that linear models have, and we will explain this through an example in which the difference is equal to two. Also, through examples, we will explain the difference between using classical values and neutrosophic values and the extent of this’s impact on the optimal solution. (shrink)

Recent breakthroughs in artificial intelligence have primarily resulted from training deep neural networks (DNNs) with vast numbers of adjustable parameters on enormous datasets. Due to their complex internal structure, DNNs are frequently characterized as inscrutable ``black boxes,'' making it challenging to interpret the mechanisms underlying their impressive performance. This opacity creates difficulties for explanation, safety assurance, trustworthiness, and comparisons to human cognition, leading to divergent perspectives on these systems. This chapter examines recent developments in interpretability methods for DNNs, with a (...) focus on interventionist approaches inspired by causal explanation in philosophy of science. We argue that these methods offer a promising avenue for understanding how DNNs process information compared to merely behavioral benchmarking and correlational probing. We review key interventionist methods and illustrate their application through practical case studies. These methods allow researchers to identify and manipulate specific computational components within DNNs, providing insights into their causal structure and internal representations. We situate these approaches within the broader framework of causal abstraction, which aims to align low-level neural computations with high-level interpretable models. While acknowledging current limitations, we contend that interventionist methods offer a path towards more rigorous and theoretically grounded interpretability research, potentially informing both AI development and computational cognitive neuroscience. (shrink)

Many philosophers claim to be naturalists, but there is no common understanding of what naturalism is. Maddy proposes an austere form of naturalism called 'Second Philosophy', using the persona of an idealized inquirer, and she puts this method into practice in illuminating reflections on logical truth, philosophy of mathematics, and metaphysics.

New algorithms for the numerical solution of Ordinary Differential Equations (ODEs) with initial condition are proposed. They are designed for work on a new kind of a supercomputer – the Infinity Computer, – that is able to deal numerically with finite, infinite and infinitesimal numbers. Due to this fact, the Infinity Computer allows one to calculate the exact derivatives of functions using infinitesimal values of the stepsize. As a consequence, the new methods described in this paper are able to work (...) with the exact values of the derivatives, instead of their approximations. (shrink)

This paper focuses on the distinction between methods which are mathematically "clever", and those which are simply crude, typically repetitive and computer intensive, approaches for "crunching" out answers to problems. Examples of the latter include simulated probability distributions and resampling methods in statistics, and iterative methods for solving equations or optimisation problems. Most of these methods require software support, but this is easily provided by a PC. The paper argues that the crunchier methods often have substantial advantages from the perspectives (...) of user-friendliness, reliability (in the sense that misuse is less likely), educational efficiency and realism. This means that they offer very considerable potential for simplifying the mathematical syllabus underlying many areas of applied mathematics such as management science and statistics: crunchier methods can provide the same, or greater, technical power, flexibility and insight, while requiring only a fraction of the mathematical conceptual background needed by their cleverer brethren. (shrink)

This paper argues that whereas philosophical discussions of first-person methods often turn on the veridicality of first-person reports, more attention should be paid to the experimental circumstances under which the reports are generated, and to the purposes of designing such experiments. After pointing to the ‘constructedness’ of first-person reports in the science of perception, I raise questions about the criteria by which to judge whether the reports illuminate something about the nature of perception. I illustrate this point with a historical (...) debate between Gestalt psychologist and atomists, both of whom used first-person methods to investigate perception. (shrink)

There is widespread excitement in the literature about the method of arbitrary functions: many take it to show that it is from the dynamics of systems that the objectivity of probabilities emerge. In this paper, I differentiate three ways in which a probability function might be objective, and I argue that the method of arbitrary functions cannot help us show that dynamics objectivise probabilities in any of these senses.

I argue that Descartes uses his method as evidence in the Discours and Les Météores. I begin by establishing there is a single method in Descartes’ works, using his meteorology as a case study. First, I hold that the method of the Regulae is best explained by two examples: one scientific, his proof of the anaclastic curve (1626), and one metaphysical, his question of the essence and scope of human knowledge (1628). Based on this account, I suggest (...) that the form of his early metaphysics (not its content) is similar to the method of doubt of the Meditationes. Second, I argue that Descartes’ explanation of the cause of parhelia (1629) likewise contains a formulation of this procedure. I provide a novel reading of Les Météores, where, following Descartes’ guidance in the Discours and Correspondance, I interpret his meteorology by reasoning from effects to causes, in this case, from Christoph Scheiner’s 1626 observation of parhelia to his meteorological foundation. This backwards orientation to Les Météores, I argue, reveals an instance of Descartes’ scientific method. I conclude with remarks on Descartes’ concept of evidentia, in which I explain how he incorporates a posteriori evidence and an apparent hypothetical foundation into his rationalist epistemology where he uses his method as evidence for his claims. (shrink)

This selective and opinionated overview of English-language scholarship on the philosophical method(s) of Plato's Socrates discusses whether this Socrates has any expertise or method, how he examines others and why, and how he exhorts others to care about wisdom and the state of their soul.

In elite sport, the advantages demonstrated by expert performers over novices are sometimes due in part to their superior physical fitness or to their greater technical precision in executing specialist motor skills. However at the very highest levels, all competitors typically share extraordinary physical capacities and have supremely well-honed techniques. Among the extra factors which can differentiate between the best performers, psychological skills are paramount. These range from the capacities to cope under pressure and to bounce back from setbacks, to (...) the knowledge of themselves, opponents, and the domain, which experts access and apply in performance. In the companion chapter on breadth and depth of knowledge in expert sport (see Chapter 11), we discussed the forms or kinds of knowledge deployed by elite athletes, and described some lines of research which seek to tap and study such expert knowledge (McPherson & MacMahon, 2008; McRobert, Ward, Eccles & Williams, 2011). In this chapter we focus more directly on questions about methods for measuring or more accurately assessing expert knowledge, in particular addressing a wider range of methods to help us understand what experts know. Suggesting that sport researchers can productively adopt and adapt existing qualitative methodologies for integration with more standard quantitative methods, we introduce and survey a number of areas of qualitative research in psychology. (shrink)

How does experimental philosophy address philosophical questions and problems? That is: What projects does experimental philosophy pursue? What is their philosophical relevance? And what empirical methods do they employ? Answers to these questions will reveal how experimental philosophy can contribute to the longstanding ambition of placing philosophy on the ‘secure path of a science’, as Kant put it. We argue that experimental philosophy has introduced a new methodological perspective – a ‘meta-philosophical naturalism’ that addresses philosophical questions about a phenomenon by (...) empirically investigating how people think about this phenomenon. This chapter asks how this novel perspective can be successfully implemented: How can the empirical investigation of how people think about something address genuinely philosophical problems? And what methods – and, specifically, what methods beyond the questionnaire – can this investigation employ? We first review core projects of experimental philosophy and raise the question of their philosophical relevance. For ambitious answers, we turn to experimental philosophy’s most direct historical precursor, mid-20th century ordinary language philosophy, and discuss empirical implementations of two of its research programmes that use experimental methods from psycholinguistics and corpus methods from the digital humanities. (shrink)

The construction of complex ontologies can be facilitated by adapting existing vocabularies. There is little clarity and in fact little consensus as to what modifications of vocabularies are necessary in order to re-engineer them into ontologies. In this paper we present a method that provides clear steps to follow when re-engineering a thesaurus. The method makes use of top-level ontologies and was derived from the structural differences between thesauri and ontologies as well as from best practices in modeling, (...) some of which have been advocated in the biomedical domain. We illustrate each step of our method with examples from a re-engineering case study about agricultural fertilizers based on the AGROVOC thesaurus. Our method makes clear that re-engineering thesauri requires far more than just a syntactic conversion into a formal language or other easily automatable steps. The method can not only be used for re-engineering thesauri, but does also summarize steps for building ontologies in general, and can hence be adapted for the re-engineering of other types of vocabularies or terminologies. (shrink)

The research aims to identify the reality of modern methods applied in the process of performance assessments of employees in the municipalities of Gaza-strip, Complete Census method of community study was used, (571) questionnaires were distributed to all members of the community study, (524) questionnaires were recovery with rate of (91.76%). The most important findings of the study: There were statistically significant relationship differences between the applications of modern methods in the performance assessments of employees in the municipalities of (...) Gaza-strip. There was statistically significant relationship between the evaluation criteria that fit the required performance and the application of standards evaluations on performance of employees in the municipalities of Gaza-strip. There was statistically significant relationship between the use of methods, models for the evaluation of appropriate functions and the application of the performance assessments of employees in the municipalities of Gaza-strip. There was statistically significant relationship between the feedback and the application of performance assessments of employees in the municipalities of Gaza-strip. There was statistically significant relationship between the efficient, professional assessors and the application of the performance assessments of employees in the municipalities of Gaza-strip. There was statistically significant relationship between the extent of awareness of subordinates, participation in the evaluation of their performance and the application of the performance assessments of employees in the municipalities of Gaza-strip. The research also concluded a series of recommendations, including: that the design of evaluation models must be done with the participation of the employees and inform them of it, and that a date must be set to provide feedback and discuss the results with them, that they should be allowed grievance in front of an ad hoc committee in accordance with the known system. Direct manager must inform employees of their performance assessment date, discuss the results of the evaluation with them, and others should be involved with the direct manager of employees in their performance evaluation. The application of modern methods of performance evaluation through the good and purposeful planning should be used, analyzing and employing the results in administrative decisions regarding the employees, and the application of modern methods must be used in an effective and efficient performance evaluation. (shrink)

Recent research has identified a tension between the Safety principle that knowledge is belief without risk of error, and the Closure principle that knowledge is preserved by competent deduction. Timothy Williamson reconciles Safety and Closure by proposing that when an agent deduces a conclusion from some premises, the agent’s method for believing the conclusion includes their method for believing each premise. We argue that this theory is untenable because it implies problematically easy epistemic access to one’s methods. Several (...) possible solutions are explored and rejected. (shrink)

This article argues that, suitably modified, the method of reflective equilibrium is a plausible way of selecting moral principles. The appropriate conception of the method is wide and radical, admitting consideration of a full range of moral principles and arguments, and requiring the enquiring individual to consider others' views and undergo experiences that may offset any formative biases. The individual is not bound by his initial considered judgments, and may revise his view in any way whatsoever. It is (...) appropriate to describe the method as a balance between coherentism and fallibilist foundationalism. With these points in mind, various criticisms, including the claims that considered judgments are not initially credible and are shaped by prejudice, and that the method itself fails to determine principle selection, are challenged. (shrink)

Wie bekannt hat Scheler den Begriff der "phänomenologischen Reduktion" ausdrücklich von Husserl übernommen1, dennoch behauptet in der letzten Schaffensperiode ebenso deutlich, den Terminus "Phänomenologie" vermeiden zu wollen, und tatsächlich verwendet er entweder den Ausdruck "phänomenologische Reduktion" in Anführungszeichen oder den Begriff "Techne der Reduktion". Die These, die ich zu entwickeln versuchen werde, ist, daß es bei Scheler nicht nur eine einzige Theorie der Reduktion gibt und daß, ebenso wie verschiedene Realitätstheorien zu unterscheiden sind, ebenso viele Versuche zu erkennen sind, die (...) das Thema der Reduktion behandeln. Diese Versuche sind in großen Zügen auf zwei "Varianten" zurückzuführen: Die erste Variante ist jene, die wir alle kennen und die Scheler selbst in seiner mittleren Schaffensperiode als "phänomenologische Reduktion" bezeichnet. Die zweite Variante der Reduktion wird von ihm nicht eindeutig bestimmt, und es ist auch schwierig, dafür eine Bezeichnung zu finden. Auf jeden Fall verbindet sie Scheler mit Begriffen wie Sublimierung, Ekstase, Askese, "moralischer Aufschwung", etc.. Um sie von der ersten Variante zu unterscheiden werde ich sie "kathartische Reduktion" nennen, wobei das Wort "Katharsis" im Sinne von Platon gemeint ist. (shrink)

According to the sensitivity account of knowledge, S knows that p only if S’s belief in p is sensitive in the sense that S would not believe that p if p were false. The sensitivity condition is usually relativized to belief-formation methods to avoid putative counterexamples. A remaining issue for the account is where methods should be mentioned in the sensitivity subjunctives. In this paper, I argue that if methods are mentioned in the antecedent, then the account is too strong (...) to accommodate inductive knowledge; if methods are mentioned in the consequent, then the account is too weak to eliminate some luckily true beliefs from the realm of knowledge. Therefore, the strategy to relativize the sensitivity condition is undermined by inductive knowledge and some luckily true beliefs. (shrink)

This study’s objective was to understand Colombian adolescents’ experiences and preferences regarding access to sexual and reproductive health services (SRHS), either alone or accompanied. A mixed-method approach was used, involving a survey of 812 participants aged eleven to twenty-four years old and forty-five semi-structured interviews with participants aged fourteen to twenty-three. Previous research shows that adolescents prefer privacy when accessing SRHS and often do not want their parents involved. Such findings align with the longstanding tendency to frame the ethical (...) principle of autonomy as based on independence in decision-making. However, the present study shows that such a conceptualization and application of autonomy does not adequately explain Colombian adolescent participants’ preferences regarding access to SRHS. Participants shared a variety of preferences to access SRHS, with the majority of participants attaching great importance to having their parents involved, to varying degrees. What emerges is a more complex and non-homogenous conceptualization of autonomy that is not inherently grounded in independence from parental involvement in access to care. We thus argue that when developing policies involving adolescents, policymakers and health professionals should adopt a nuanced “relational autonomy” approach to better respect the myriad of preferences that Colombian (and other) adolescents may have regarding their access to SRHS. (shrink)

An important method for finding the optimal solution for linear and nonlinear models is the graphical method, which is used if the linear or nonlinear mathematical model contains one, two, or three variables. The models that contain only two variables are among the most models for which the optimal solution has been obtained graphically, whether these models are linear or non-linear in references and research that are concerned with the science of operations research, when the data of the (...) issue under study is classical data. In this research, we will present a study through, which we present the graphical method for solving Neutrosophical nonlinear models in the following case: A nonlinear programming issue, the objective function is a nonlinear function, and the constraints are linear functions. Note that we can use the same method if (i) the objective function follower is a linear follower and the constraints are nonlinear; (ii) the objective function is a non-linear follower and the constraints are non-linear. In the three cases, the nonlinear models are neutrosophic, and as we know, the mathematical model is a nonlinear model if any of the components of the objective function or the constraints are nonlinear expressions, and the nonlinear expressions may be in both. At the left end of the constraints are neutrosophic values, at least one or all of them. Then, the possible solutions to the neutrosophic nonlinear programming problem are the set of rays that fulfills all the constraints. As for the region of possible solutions, it is the region that contains all the rays that fulfill the constraints. The optimal solution is the beam that fulfills all constraints and at which the function reaches a maximum or minimum value, depending on the nature of the issue under study (noting that it is not necessary to be alone). (shrink)

Research in experimental philosophy has increasingly been turning to corpus methods to produce evidence for empirical claims, as they open up new possibilities for testing linguistic claims or studying concepts across time and cultures. The present article reviews the quasi-experimental studies that have been done using textual data from corpora in philosophy, with an eye for the modeling and experimental design that enable statistical inference. I find that most studies forego comparisons that could control for confounds, and that only a (...) little less than half employ statistical testing methods to control for chance results. Furthermore, at least some researchers make modeling decisions that either do not take into account the nature of corpora and of the word-concept relationship, or undermine the experiment's capacity to answer research questions. I suggest that corpus methods could both provide more powerful evidence and gain more mainstream acceptance by improving their modeling practices. (shrink)

In a historiographical and methodological comparison of Formal Aesthetics and Iconology with the method of Affordance, the latter is to be introduced as a new method in Visual Cultural Studies. In extension ofepistemologically relevant aspects relatedtostyle and history of the artefacts, communicative and furthermoreaction and decisionrelevant aspects of artefacts become important. In this respect, it is the share of artefacts in life that the new method aims to uncover. The basis for this concern is the theory and (...) methodological tools of Visual Semiotics, which I have already presented. A direct comparison of the three methods based on the same example should clarify the points of contact and the respective performance of the methods. For this purpose, theChrist among the Doctorsof Albrecht Dürer from 1506 will be used, which was already examined in 1905 and indirectly in 1915 by the prominent representative of Formal Aesthetics Heinrich Wölfflin,and in 1914 and finally in1943by the founder of Iconology Erwin Panofsky. With the new method thecommunicative-actionand decision relevant aspects and thus their share in life should be shown. (shrink)