In this chapter we will argue, firstly, that Bacon’s engages in a pecu-liar form of mathematization of nature that develops a quali-quantitative methodology of measurement. Secondly, we will show that medicine is one of the disciplines where that dual way of measurement is practiced. In the first section of the chapter, we will expose the ontology involved in the Baconian proposal of measurement of nature. The second section will address the place that mixed mathematics occupies in Bacon’s scheme of (...) scientific branches and will suggest that a proper advancement of medicine can generate a new branch of mixed mathematics. The next section will reconstruct Bacon’s approach to measurement and expose its quali-quantitative import. In the last section, we will show some examples of medicine in which this quali-quantitative measurement is applied. (shrink)

This paper challenges the common assumption that some phenotypic traits are quantitative while others are qualitative. The distinction between these two kinds of traits is widely influential in biological and biomedical research as well as in scientific education and communication. This is probably due to both historical and epistemological reasons. However, the quantitative/qualitative distinction involves a variety of simplifications on the genetic causes of phenotypic variability and on the development of complex traits. Here, I examine three cases from (...) the life sciences that show inconsistencies in the distinction: Mendelian traits, Mendelian diseases, and polygenic mental disorders. I show that these traits can be framed both quantitatively and qualitatively depending, for instance, on the methods through which they are investigated and on specific epistemic purposes. This suggests that the received view of quantitative and qualitative traits has a limited heuristic power—limited to some local contexts or to the specific methodologies adopted. Throughout the paper, I provide directions for framing phenotypes beyond the quantitative/qualitative distinction. I conclude by pointing at the necessity of developing a principled characterisation of what phenotypic traits, in general, are. (shrink)

This book offers an unprecedented quantitative portrait of analytic philosophy focusing on two seemingly marginal features of philosophical texts: citations and acknowledgements in academic publications. Originating from a little network of philosophers based in Oxford, Cambridge, and Vienna, analytic philosophy has become during the Twentieth century a thriving philosophical community with thousands of members worldwide. Leveraging the most advanced techniques from bibliometrics, citations and acknowledgments are used in this book to shed light on both the epistemology and the sociology (...) of this philosophical field, illuminating the intellectual trajectory of analytic philosophy as well as the social characteristics of the analytic community. Special attention is dedicated to the last forty years, providing insights into a phase of analytic philosophy which is still understudied by historians of philosophy. In the eight chapters of the book, readers will find not only numerous quantitative investigations and technical explanations, but also a robust theoretical framework and epistemological reflections on the strengths and limitations of quantitative methods for the study of philosophy. With its strong interdisciplinary appeal, this book will engage a wide range of scholars, including historians of philosophy seeking new methodologies, analytic philosophers interested in a new look at their discipline, and scholars in digital humanities, bibliometrics, and quantitative studies of science, who will find many innovative techniques for investigating disciplinary fields. (shrink)

Mnoge biološke funkcije dopuštaju stupnjevanje. Na primjer, lučenje određenog hormona u organizmu može biti na višoj ili nižoj razini, u usporedbi s istim organizmom drugom prilikom ili u usporedbi s drugim organizmima. Koje razine funkcioniranja predstavljaju slučajeve disfunkcije; gdje da povučemo crtu? To je kvantitativni problem za teorije disfunkcije i bolesti. Cilj mi je braniti verziju bioloških teorija disfunkcije kako bih se uhvatio u koštac s ovim problemom. Međutim, također ću dopustiti da evaluativna razmatranja uđu u teoriju bolesti. Moj argument (...) se temelji na razlikovanju između biološke i kliničke perspektive. Prema mom mišljenju, bolest je ograničena na slučajeve koji spadaju u granice bioloških disfunkcija. Odgovor na kvantitativni problem ne zahtijeva proizvoljne odluke ili društveno vrijednosne sudove. Stoga se zalažem za nearbitrarnu metodu koja se temelji na činjenicama kako bi se riješio kvantitativni problem. Ipak, nisu sve biološke disfunkcije instance bolesti. Dodavanje kliničke perspektive omogućuje nam da spriječimo potencijalnu preveliku uključenost biološke perspektive, zato što postavlja dodatna ograničenja za određivanje granica bolesti. (shrink)

Corpus-driven Cognitive Semantics Introduction to the field Dylan Glynn Is quantitative empirical research possible for the study of semantics?1 More ...

BackgroundThe merits and drawbacks of moral relevance models of addiction have predominantly been discussed theoretically, without empirical evidence of these potential effects. This study develops and evaluates a novel survey measure for assessing moral evaluations of patient substance misuse (ME-PSM).MethodsThis measure was tested on 524 health professionals (i.e., physicians, nurses, and other health professionals) in California (n = 173), urban France (n = 102), and urban China (n = 249). Demographic factors associated with ME-PSM were investigated using analyses of variance (...) (ANOVAs) and t-tests, with results suggesting that ME-PSM is higher among younger health professionals, nurses (when compared with physicians and other health professionals), and Chinese health professionals (when compared with French and American health professionals).ResultsResults provide preliminary support for the psychometric quality of the survey measure introduced in this study, including the existence of a single latent structure and partial invariance of collected data across countries.ConclusionThe survey measure for ME-PSM which was developed and tested in the current study appears to hold potential utility for use as a measure of moral views of patient substance misuse. With development, this measure may be used to examine moral evaluations, both as factors of stigma and of other clinical factors associated with the treatment of patients with substance use disorders. (shrink)

In this paper, I motivate the view that quantitative parsimony is a theoretical virtue: that is, we should be concerned not only to minimize the number of kinds of entities postulated by our theories (i. e. maximize qualitative parsimony), but we should also minimize the number of entities postulated which fall under those kinds. In order to motivate this view, I consider two cases from the history of science: the postulation of the neutrino and the proposal of Avogadro's hypothesis. (...) I also consider two issues concerning how a principle of quantitative parsimony should be framed. (shrink)

Journal of Business Ethicsrecently published a critique of ethical practices in quantitative research by Zyphur and Pierides (J Bus Ethics 143:1–16, 2017). The authors argued that quantitative research prevents researchers from addressing urgent problems facing humanity today, such as poverty, racial inequality, and climate change. I offer comments and observations on the authors’ critique. I agree with the authors in many areas of philosophy, ethics, and social research, while making suggestions for clarification and development. Interpreting the paper through (...) the pragmatism of William James, I suggest that the authors’ arguments are unlikely to change attitudes in traditional quantitative research, though they may point the way to a new worldview, or Jamesian “sub-world,” in social research. (shrink)

Two grams mass, three coulombs charge, five inches long – these are examples of quantitative properties. Quantitative properties have certain structural features that other sorts of properties lack. What are the metaphysical underpinnings of quantitative structure? This paper considers several accounts of quantity and assesses the merits of each.

ABSTRACT Our aim in this article is to offer a new justification for preferring theories that are more quantitatively parsimonious than their rivals. We discuss cases where it seems clear that those involved opted for more quantitatively parsimonious theories. We extend previous work on quantitative parsimony by offering an independent probabilistic justification for preferring the more quantitatively parsimonious theories in particular episodes of theory choice. Our strategy allows us to avoid worries that other considerations, such as pragmatic factors of (...) computational tractability and so on, could be the driving ones in the historical cases under consideration. _1_ Introduction _2_ Three Desiderata _2.1_ Limiting _2.2_ Robustness _2.3_ Breadth _2.3.1_ A limited success for Baker _2.3.2_ Rejecting Baker’s analysis _2.4_ The proposal _3_ Probabilistically Additive Hypotheses and a Bayesian Account: The Limpid Rationale Relativized and Reconsidered _3.1_ Neutrinos and beta decay _3.2_ Avogadro’s hypothesis _3.3_ Postulation of Neptune _4_ Conclusion. (shrink)

There is a standard story told about the rise and fall of ordinary language philosophy: it was a widespread, if not dominant, approach to philosophy in Great Britain in the aftermath of World War II up until the early 1960s, but with the development of systematic approaches to the study of language—formal semantic theories on one hand and Gricean pragmatics on the other—ordinary language philosophy more or less disappeared. In this paper we present quantitative evidence to evaluate the standard (...) story of the rise and fall of ordinary language philosophy, building on the topic model of over 30,000 philosophy articles in Weatherson (2022). Using a combination of qualitative judgment and a topic-model-based measurement of similarity between individual articles, we find evidence that supports the first part of the standard story, according to which ordinary language philosophy arises in the 1940s, peaks between the early 1950s and the late 1960s, and then rapidly declines. But we argue that there is also evidence of a "new wave" of ordinary language philosophy in the early 21st century that defies the second part of the standard story. (shrink)

The desire to minimize the number of individual new entities postulated is often referred to as quantitative parsimony. Its influence on the default hypotheses formulated by scientists seems undeniable. I argue that there is a wide class of cases for which the preference for quantitatively parsimonious hypotheses is demonstrably rational. The justification, in a nutshell, is that such hypotheses have greater explanatory power than less parsimonious alternatives. My analysis is restricted to a class of cases I shall refer to (...) as additive. Such cases involve the postulation of a collection of qualitatively identical individual objects which collectively explain some particular observed phenomenon. Especially clear examples of this sort occur in particle physics.1Introduction2Particle physics: a case study3Three kinds of simplicity4Explanatory power5Explanation and non‐observation6Parsimony and scientific methodology7Conclusions. (shrink)

We chart the ways in which closure properties of consequence relations for uncertain inference take on different forms according to whether the relations are generated in a quantitative or a qualitative manner. Among the main themes are: the identification of watershed conditions between probabilistically and qualitatively sound rules; failsafe and classicality transforms of qualitatively sound rules; non-Horn conditions satisfied by probabilistic consequence; representation and completeness problems; and threshold-sensitive conditions such as `preface' and `lottery' rules.

The desire to minimize the number of individual new entities postulated is often referred to as quantitative parsimony. Its influence on the default hypotheses formulated by scientists seems undeniable. I argue that there is a wide class of cases for which the preference for quantitatively parsimonious hypotheses is demonstrably rational. The justification, in a nutshell, is that such hypotheses have greater explanatory power than less parsimonious alternatives. My analysis is restricted to a class of cases I shall refer to (...) as additive. Such cases involve the postulation of a collection of qualitatively identical individual objects which collectively explain some particular observed phenomenon. Especially clear examples of this sort occur in particle physics. 1 Introduction 2 Particle physics: a case study 3 Three kinds of simplicity 4 Explanatory power 5 Explanation and non-observation 6 Parsimony and scientific methodology 7 Conclusions. (shrink)

Baker argues that quantitative parsimony—the principle that hypotheses requiring fewer entities are to be preferred over their empirically equivalent rivals—is a rational methodological criterion because it maximizes explanatory power. Baker lends plausibility to his account by confronting it with the example of postulating of the neutrino in order to resolve a discrepancy in Beta decay experiments. Baker’s account is initially attractive, but I argue that its details are problematic and that it yields undesirable consequences when applied to the case (...) of astrophysical dark matter. Baker has not succeeded in showing why quantitative parsimony is a theoretical virtue. (shrink)

The quantitative problem of old evidence is the problem of how to measure the degree to which e confirms h for agent A at time t when A regards e as justified at t. Existing attempts to solve this problem have applied the e-difference approach, which compares A's probability for h at t with what probability A would assign h if A did not regard e as justified at t. The quantitative problem has been widely regarded as unsolvable (...) primarily on the grounds that the e-difference approach suffers from intractable problems. Various philosophers have proposed that 'Bayesianism' should be rejected as a research strategy in confirmation theory in part because of the unsolvability of this problem. I develop a version of the e-difference approach which overcomes these problems and possesses various advantages (but also certain limitations). I develop an alternative 'theistic' approach which handles many cases that my development of the e-difference approach does not handle. I conclude with an assessment of the significance of the quantitative problem for Bayesianism and argue that this problem is misunderstood in so far as it is regarded as unsolvable, and in so far as it is regarded as a problem only for Bayesians. (shrink)

ABSTRACT The Gödel–Dummett logic and Łukasiewicz one are two main many-valued logics used by the fuzzy logic community. Our goal is a quantitative comparison of these two. In this paper, we will mostly consider the 3-valued Gödel–Dummett logic as well as the 3-valued Łukasiewicz one. We shall concentrate on their implicational-negation fragments which are limited to formulas formed with a fixed finite number of variables. First, we investigate the proportion of the number of true formulas of a certain length (...) n to the number of all formulas of such length built with exactly one variable. Then, we investigate such proportion for satisfiable formulas. Second, we generalise our investigation on formulas written with $ k\ge 1 $ k ≥ 1 variables. The primary goal of the paper is the research on the asymptotic behaviour of these fractions when the length n tends to infinity. If such limits exists, they are real numbers between 0 and 1, which are called the density of truth or the density of SAT. To compare the density of truth and the density of satisfiable formulas for both fragments of 3-valued Gödel–Dummett's and Łukasiewicz's logics we use the powerful theory of analytic combinatorics. This paper is a natural continuation of the previous brief conference note by Kostrzycka and Zaionc (2020) as well as enriched with some previous results from Kostrzycka and Zaionc (2003). In the conference note we computed analytically the density of truth and the density of SAT (with a determined precision) for 3-valued Łukasiewicz's logic restricted to a language with only one variable. In Kostrzycka and Zaionc (2003) we computed the same values for exactly the same fragment of the 3-valued Gödel–Dummett logic. This paper answers the more general questions of the existence of density of truth and density of SAT for both many-valued logics with an arbitrary finite number of variables. Therefore this paper gives an an interesting picture of two main families of finite-valued fuzzy logics problems treated quantitatively. This picture is taken from the perspective of classical logic. It shows that unexpectedly there is quantitatively a little distance between these two approaches. (shrink)

Journal of the History of Biology provides a fifty-year long record for examining the evolution of the history of biology as a scholarly discipline. In this paper, we present a new dataset and preliminary quantitative analysis of the thematic content of JHB from the perspectives of geography, organisms, and thematic fields. The geographic diversity of authors whose work appears in JHB has increased steadily since 1968, but the geographic coverage of the content of JHB articles remains strongly lopsided toward (...) the United States, United Kingdom, and western Europe and has diversified much less dramatically over time. The taxonomic diversity of organisms discussed in JHB increased steadily between 1968 and the late 1990s but declined in later years, mirroring broader patterns of diversification previously reported in the biomedical research literature. Finally, we used a combination of topic modeling and nonlinear dimensionality reduction techniques to develop a model of multi-article fields within JHB. We found evidence for directional changes in the representation of fields on multiple scales. The diversity of JHB with regard to the representation of thematic fields has increased overall, with most of that diversification occurring in recent years. Drawing on the dataset generated in the course of this analysis, as well as web services in the emerging digital history and philosophy of science ecosystem, we have developed an interactive web platform for exploring the content of JHB, and we provide a brief overview of the platform in this article. As a whole, the data and analyses presented here provide a starting-place for further critical reflection on the evolution of the history of biology over the past half-century. (shrink)

In this paper I argue that presentism —the view that only present objects exist—can be motivated, at least to some degree, by virtue of the fact that it is more quantitatively parsimonious than rival views.

In this article, the co-editors of the corporate responsibility: quantitative issues section of the journal provide an overview of the quantitative CSR field and offer some new perspectives on where the field is going. They highlight key issues in developing impactful, theory-driven, and ethically grounded research and call for research that examines complex problems facing businesses and the society (e.g., big data and artificial intelligence, political polarization, and the role of CSR in generating social impact). By examining topics (...) that are under-researched, forward-looking, and socially oriented, scholars can expand the boundary of CSR’s substantive domain and produce research that helps businesses act in a long-term, socially responsible way in this quickly evolving, turbulent environment. They also discuss ways to enhance the methodological rigor of quantitative CSR research and encourage scholars to employ cutting-edge, innovative methods to shed light on the micro-level mechanisms of CSR and reveal patterns and relationships hidden in unstructured big data. (shrink)

Researchers misunderstand their role in creating ethical problems when they allow dogmas to purportedly divorce scientists and scientific practices from the values that they embody. Cortina, Edwards, and Powell help us clarify and further develop our position by responding to our critique of, and alternatives to, this misleading separation. In this rebuttal, we explore how the desire to achieve the separation of facts and values is unscientific on the very terms endorsed by its advocates—this separation is refuted by empirical observation. (...) We show that positivists like Cortina and Edwards offer no rigorous theoretical or empirical justifications to substantiate their claims, let alone critique ours. Following Powell, we point to how classical pragmatism understands ‘purpose’ in scientific pursuits while also providing an alternative to the dogmas of positivism and related philosophical positions. In place of dogmatic, unscientific cries about an abstract and therefore always-unobservable ‘reality,’ we invite all organizational scholars to join us in shifting the discussion about quantitative research towards empirically grounded scientific inquiry. This makes the ethics of actual people and their practices central to quantitative research, including the thoughts, discourses, and behaviors of researchers who are always in particular places doing particular things. We propose that quantitative researchers can thus start to think about their research practices as a kind of work, rather than having the status of a kind of dogma. We conclude with some implications that this has for future research and education, including the relevance of research and research methods. (shrink)

In this article, the co-editors of the Leadership and Ethics: Quantitative Analysis section of the journal outline some of the key issues about conducting quantitative research at the intersection of business, ethics, and leadership. They offer guidance for authors by explaining the types of papers that are often rejected and how to avoid some common pitfalls that lead to rejection. They also offer some ideas for future research by drawing upon the opinions of four noted experts in the (...) field to consider the types of research questions we should be asking, the types of theory we should be building, the types of models we should be testing, and the types of methods we should be using. (shrink)

​This contributed volume gives access to semiotic researches adopting a quantitative stance. European semiotics is traditionally based on immanent methodologies: meaning is seen as an autonomous dimension of human existence, whose laws can be investigated via purely qualitative analytical and reflexive analysis. Today, researches crossing disciplinary boundaries reveal the limitations of such an homogeneous practice. In particular, two families of quantitative research strategies can be identified. On the one hand, researchers wish to naturalize meaning, by making semiotic results (...) interact with those coming from Neurophysiological and psychological sciences. On the other hand, statistical and computational tools are adopted to work on linguistic and multimedia corpora. The book acts to put the two approaches into dialogue. (shrink)

We do a quantitative analysis of modal logic. For example, for each Kripke structure M, we study the least ordinal μ such that for each state of M, the beliefs of up to level μ characterize the agents' beliefs (that is, there is only one way to extend these beliefs to higher levels). As another example, we show the equivalence of three conditions, that on the face of it look quite different, for what it means to say that the (...) agents' beliefs have a countable description, or putting it another way, have a "countable amount of information". The first condition says that the beliefs of the agents are those at a state of a countable Kripke structure. The second condition says that the beliefs of the agents can be described in an infinitary language, where conjunctions of arbitrary countable sets of formulas are allowed. The third condition says that countably many levels of belief are sufficient to capture all of the uncertainty of the agents (along with a technical condition). The fact that all of these conditions are equivalent shows the robustness of the concept of the agents' beliefs having a "countable description". (shrink)

Quantitative analysts or “Quants” are a source of competitive advantage for financial institutions. They occupy the relatively powerful but often misunderstood role of modeling, structuring, and pricing complex financial instruments in the capital markets. But Quants often function in a discipline free from ethical burdens. Models used to price complex instruments are usually beyond the mathematical understanding of financial sector participants who rely heavily on the integrity of the Quant who built them. Although there has been some attempt to (...) cover the ethics of mathematics applied to the capital markets, designing a set of rules to guide the ethical behavior of Quants cannot be made explicit and remains inexpressible. Because Quants generally experience a sense of detachment from moral obligation, there is a growing need to convert moral detachment into engagement. Our framework is indebted to key elements of Wittgenstein’s practical ethics philosophy and Rawls’ justice principle. The burden of balancing justice as fairness as defined by Rawls with the inability to explicitly articulate ethical rules as defined by Wittgenstein must fall to the Quant. We propose that the threshold delineating the barrier between ethical detachment and engagement can only be defined by the Quants themselves. It is their moral duty to disclose their level of ethical engagement when their models are put into practice. (shrink)

Quantitative somatic phenomenology, a technique based in part on little-articulated practices in the field of somatics, is offered as an embodied phenomenological method of defining, operationalizing and controlling for state of consciousness in terms of the size, shape, location and dynamic movement of specific qualitative phenomena relative to the body. This approach offers a possible beginning point for the needed task of controlling for state of consciousness as a variable in each and every method of inquiry, including standard science. (...) It also may assist methods such as neurophenomenology by offering the prospect of a more accurate and pragmatic standardized praxis. Potential approaches to scientific validation are explored. (shrink)

Since the advent of the twenty-first century, science has experienced a crisis pertaining to the replicability of quantitative research findings, which has become known as the ‘replication crisis’. The replication crisis has particularly afflicted research in the behavioural sciences, and psychology in particular. Given the relevance of psychology to education, it is unsurprising that the replication crisis also presents an issue for quantitative educational research, thus potentially compromising its practical usefulness. This article outlines the replication crisis in psychology, (...) and highlights its significance for quantitative educational research. Greater methodological rigour, aimed at addressing methodological deficiencies in the conduct of scientific research, has been suggested as a response to the replication crisis. Following a review of various calls for greater methodological rigour, the current article argues that, whilst methodological deficiencies may be a contributory factor, there is potentially a more fundamental reason for the replication crisis. The case is made that the non-separability of a measured attribute from the measurement instrument, and the irreducible uncertainty in unmeasured attributes, may be the principal reasons for the replication crisis in psychology and education. Implications of such an explanation for the crisis are articulated in relation to the evidence-based policy agenda in education. (shrink)

Qualitative research methods are essential to provide richness, but they are vulnerable to distortion of data by theory. The quantitative approach is necessary for the precision of hypothesis testing, but, by itself, this method is too critical to be creative. Religious studies should use both methods in alternate phases, with the qualitative approach creating new hypotheses and the quantitative approach critically testing them.

In this paper, I survey and defend the use of quantitative methods in philosophy of language. Quantitative methods in philosophy of language include a wide variety of methods, ranging from model‐based techniques (computer simulations and mathematical models) to data‐driven approaches (experimental philosophy and corpus‐based studies). After offering a few case studies of these methodologies in action, I single out some debates in philosophy of language that are especially well served by their use. These are cases in which (...) class='Hi'>quantitative methods increase precision, improve the accuracy and reliability of results, and allow philosophers of language to borrow from other fields the best epistemic practices available. I conclude with some far‐reaching considerations about the role of qualitative and quantitative methods in debates about philosophical methodology. (shrink)

This study is intended to provide in-depth insights into how design thinking and creativity issues are understood and possibly evolve in the course of design discussions in a company context. For that purpose, we use the seminar transcripts of the Design Thinking Research Symposium 12 (DTRS12) dataset “Tech-centred Design Thinking: Perspectives from a Rising Asia,” which are primarily concerned with how Korean companies implement design thinking and what role designers currently play. We employed a novel method of information processing based (...) on constructed dynamic semantic networks to investigate the seminar discussions according to company representatives and company size. We compared the quantitative dynamics in two seminars: the first involved managerial representatives of four companies, and the second involved specialized designers and management of a design center of single company. On the basis of dynamic semantic networks, we quantified the changes in four semantic measures—abstraction, polysemy, information content, and pairwise word similarity—in chronologically reconstructed individual design-thinking processes. Statistical analyses show that design thinking in the seminar with four companies, exhibits significant differences in the dynamics of abstraction, polysemy, and information content, compared to the seminar with the design center of single company. Both the decrease in polysemy and abstraction and the increase in information content in the individual design-thinking processes in the seminar with four companies indicate that design managers are focused on more concrete design issues, with more information and less ambiguous content to the final design product. By contrast, specialized designers manifest more abstract thinking and appear to exhibit a slightly higher level of divergence in their design processes. The results suggest that design thinking and creativity issues are articulated differently depending on designer roles and the company size. (shrink)

Claudiu Herţeliu, Metode cantitative în studiul fenomenului religios (Quantitative Methods in the Study of Religious Phenomena), (Cluj-Napoca: Ed. Napoca Star, 2009), 227 p.

This special issue addresses question about the place of quantitative methods in the field of biosemiotics. Many standpoints have been taken by contributing authors to demonstrate that the answer to this question is not straightforward. Considering quantitative methods in biosemiotics is necessarily related to inclusion of other scientific fields and interdisciplinary dialogue.

The aim of this article is to discuss quantitative content analysis as established in communication sciences as a method for research in business ethics. We argue that communication sciences and business ethics are neighboring disciplines, which allow the transfer of quantitative content analysis from communication sciences to business ethics. Technically, quantitative content analysis can be applied through human as well as software coding. Examples for both applications are provided and discussed. We make reference to the software solutions (...) ‘Leximancer’, ‘Crawdad’, and ‘Wordle’, and examine their suitability and limitations with regard to ethical questions for researching business ethics. We recommend a mixed‐method approach, combining human and software coding. Furthermore, we propose a three‐step process that discusses quantitative content analysis as a method for business ethics, including an ethical research objective, and most importantly, concluding with ethical reasoning and interpretation of the quantitative results. (shrink)

Given the old conception of the relation greater than, the proposition that the whole is greater than the part is an immediate consequence. But being greater in this sense is not incompatible with being equal in the sense of one-one correspondence. Some who failed to recognize this formulated invalid arguments against the possibility of infinite quantities. Others who did realize that the relations of equal and greater when so defined are compatible, concluded that such relations are not appropriately taken as (...) quantitative relations, at least, not in general. If suitable quantitative relations were to be defined, there was a possibility of retaining either the traditional definition of greater and finding another concept of equality, or of retaining the concept of equality as one-one correspondence and defining greater than so that it is incompatible with equality in this sense. The former alternative was implicitly taken by Bolzano, who never succeeded in defining suitable quantitative relations. The latter alternative was taken by Cantor, and is the basis of his great success in constructing a mathematical theory of the transfinite. (shrink)

Quantitative comparison of human language and natural animal communication requires improved conceptualizations. We argue that an infrastructural approach to development and evolution incorporating an extended interpretation of the distinctions among illocution, perlocution, and meaning can help place the issues relevant to quantitative comparison in perspective. The approach can illuminate the controversy revolving around the notion of functional referentiality as applied to alarm calls, for example in the vervet monkey. We argue that referentiality offers a poor point of (...) class='Hi'>quantitative comparison across language and animal communication in the wild. Evidence shows that even the newborn human cry could be deemed to show functional referentiality according to the criteria typically invoked by advocates of referentiality in animal communication. Exploring the essence of the idea of illocution, we illustrate an important realm of commonality among animal communication systems and human language, a commonality that opens the door to more productive, quantifiable comparisons. Finally, we delineate two examples of infrastructural communicative capabilities that should be particularly amenable to direct quantitative comparison across humans and our closest relatives. (shrink)

Pointillistic based super‐resolution techniques, such as photoactivated localization microscopy (PALM), involve multiple cycles of sequential activation, imaging, and precise localization of single fluorescent molecules. A super‐resolution image, having nanoscopic structural information, is then constructed by compiling all the image sequences. Because the final image resolution is determined by the localization precision of detected single molecules and their density, accurate image reconstruction requires imaging of biological structures labeled with fluorescent molecules at high density. In such image datasets, stochastic variations in photon (...) emission and intervening dark states lead to uncertainties in identification of single molecules. This, in turn, prevents the proper utilization of the wealth of information on molecular distribution and quantity. A recent strategy for overcoming this problem is pair‐correlation analysis applied to PALM. Using rigorous statistical algorithms to estimate the number of detected proteins, this approach allows the spatial organization of molecules to be quantitatively described. (shrink)

In this paper, we provide a re-interpretation of qualitative and quantitative modeling from a representationalist perspective. In this view, both approaches attempt to construct abstract representations of empirical relational structures. Whereas quantitative research uses variable-based models that abstract from individual cases, qualitative research favors case-based models that abstract from individual characteristics. Variable-based models are usually stated in the form of quantified sentences. This syntactic structure implies that sentences about individual cases are derived using deductive reasoning. In contrast, case-based (...) models are usually stated using context-dependent existential sentences. This syntactic structure implies that sentences about other cases are justifiable by inductive reasoning. We apply this representationalist perspective to the problems of generalization and replication. Using the analytical framework of modal logic, we argue that the modes of reasoning are often not only applied to the context that has been studied empirically, but also on a between-contexts level. Consequently, quantitative researchers mostly adhere to a top-down strategy of generalization, whereas qualitative researchers usually follow a bottom-up strategy of generalization. Depending on which strategy is employed, the role of replication attempts is very different. In deductive reasoning, replication attempts serve as empirical tests of the underlying theory. Therefore, failed replications imply a faulty theory. From an inductive perspective, however, replication attempts serve to explore the scope of the theory. Consequently, failed replications do not question the theory per se, but help to shape its boundary conditions. We conclude that quantitative research may benefit from a bottom-up generalization strategy as it is employed in most qualitative research programs. Inductive reasoning forces us to think about the boundary conditions of our theories and provides a framework for generalization beyond statistical testing. In this perspective, failed replications are just as informative as successful replications, because they help to explore the scope of our theories. (shrink)

Virtue ethics is generally recognized as one of the three major schools of ethics, but is often waylaid by utilitarianism and deontology in business and management literature. EBSCO and ABI databases were used to look for articles in the Journal of Citation Reports publications between 1980 and 2011 containing the keywords ‘virtue ethics’, ‘virtue theory’, or ‘virtuousness’ in the abstract and ‘business’ or ‘management’ in the text. The search was refined to draw lists of the most prolific authors, the most (...) cited authors, the most cited articles, and the journals with the most virtue ethics publications. This information allows one to chart how virtue ethics articles have evolved through the decades and to establish ‘schools’ or clusters of authors as well as clusters of themes. The results of this quantitative analysis of authors, ‘schools’, themes, and publications provide a foundation for the future study of virtue ethics in business and management, identifying its achievements and potentials. (shrink)