We defend hylomorphism against Maegan Fairchild’s purported proof of its inconsistency. We provide a deduction of a contradiction from SH+, which is the combination of “simple hylomorphism” and an innocuous premise. We show that the deduction, reminiscent of Russell’s Paradox, is proof-theoretically valid in classical higher-order logic and invokes an impredicatively defined property. We provide a proof that SH+ is nevertheless consistent in a free higher-order logic. It is shown that the unrestricted comprehension principle of property abstraction on which the (...) purported proof of inconsistency relies is analogous to naïve unrestricted set-theoretic comprehension. We conclude that logic imposes a restriction on property comprehension, a restriction that is satisfied by the ramified theory of types. By extension, our observations constitute defenses of theories that are structurally similar to SH+, such as the theory of singular propositions, against similar purported disproofs. (shrink)

What should a virtue theory of argumentation say about fallacious reasoning? If good arguments are virtuous, then fallacies are vicious. Yet fallacies cannot just be identified with vices, since vices are dispositional properties of agents whereas fallacies are types of argument. Rather, if the normativity of good argumentation is explicable in terms of virtues, we should expect the wrongness of bad argumentation to be explicable in terms of vices. This approach is defended through analysis of several fallacies, with particular emphasis (...) on the ad misericordiam. (shrink)

The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected: it misrepresents both historical and current mathematical practice. Nonetheless, evidence, proof, and derivation are closely intertwined. This paper seeks to tease these concepts apart. It emphasizes the role of argumentation as a context shared by evidence, proofs, and derivations. The utility of argumentation theory, in general, and argumentation schemes, in particular, (...) as a methodology for the study of mathematical practice is thereby demonstrated. Argumentation schemes represent an almost untapped resource for mathematics education. Notably, they provide a consistent treatment of rigorous and non-rigorous argumentation, thereby working to exhibit the continuity of reasoning in mathematics with reasoning in other areas. Moreover, since argumentation schemes are a comparatively mature methodology, there is a substantial body of existing work to draw upon, including some increasingly sophisticated software tools. Such tools have significant potential for the analysis and evaluation of mathematical argumentation. The first four sections of the paper address the relationships of evidence to proof, proof to derivation, argument to proof, and argument to evidence, respectively. The final section directly addresses some of the educational implications of an argumentation scheme account of mathematical reasoning. (shrink)

Most studies on entrepreneurship have highlighted the relative importance of a conducive environment for the development of entrepreneurship. This notwithstanding, entrepreneurship has been noted to thrive even under the most adverse conditions, such as during economic, social and political instabilities. Using resilience as the propensity to bounce back after adversity and xenophobia, crime, unhealthy competition, etc. as correlates of adversity or an unconducive business environment, this paper investigated the preponderance of Somali grocery shops in South African township despite the perceived (...) hostility of the business environment. Anchored on the qualitative research approach, a purposive sample of 13 participants provided the required data for analysis. Specifically, the data collection took the form of focus group interviews in which two groups of 6 and 7 informants were purposively selected to be part of the interviews. Prominent in the results was the fact that almost all the current Somali grocery shops in the study area have been victims of crime and theft. Furthermore, virtually all the Somali grocery shops that were victimized during the xenophobic outburst have since re-opened. The foregoing themes of resilience and adversity unmistakably indicate the propensity of Somali grocery shop owners’ ability to bounce back. As to what township entrepreneurs worry or fear most, clearly, the fear of the re-occurrence of the xenophobic attacks surpassed that of burglary, theft and death. As to what fuels Somali’s persistence and preponderance in townships, both push and pull factors were reported. Reporting on risk aversion, it was noted that most of the founders (here referred to as an entrepreneur) are not actively involved in running the shops. They simply recruit others to do the job on their behalf. Under this circumstance, the risk is limited to financial risk. This approach is quite different for other African immigrants in the same township. -/- . (shrink)

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

The fallacy fallacy is either the misdiagnosis of fallacy or the supposition that the conclusion of a fallacy must be a falsehood. This paper explores the relevance of these and related errors of reasoning for the appraisal of arguments, especially within virtue theories of argumentation. In particular, the fallacy fallacy exemplifies the Owl of Minerva problem, whereby tools devised to understand a norm make possible new ways of violating the norm. Fallacies are such tools and so are vices. Hence a (...) similar problem arises with argumentative vices. Fortunately, both instances of the problem have a common remedy. (shrink)

Virtue theories have become influential in ethics and epistemology. This paper argues for a similar approach to argumentation. Several potential obstacles to virtue theories in general, and to this new application in particular, are considered and rejected. A first attempt is made at a survey of argumentational virtues, and finally it is argued that the dialectical nature of argumentation makes it particularly suited for virtue theoretic analysis.

Abstract David Sobel (2001) objects to Bernard Williams's internalism, the view that an agent has a reason to perform an action only if she has some motive that will be served by performing that action. Sobel is an unusual challenger in that he endorses neo-Humean subjectivism, ?the view that it is the agent's subjective motivational set that makes it the case that an agent does or does not have a reason to φ? (219). Sobel's objection in fact arises from this (...) very commitment. Internalism, he says, is incompatible with the best subjectivist accounts of reasons for action?accounts that suggest that there are what he calls fragile reasons and perhaps also superfragile ones, both of which allegedly provide for counterexamples to internalism. I argue that such reasons do not in fact threaten internalism. I then briefly explore whether internalism is vulnerable to a related charge?that it commits the conditional fallacy. (shrink)

Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...) as a potential example of both phenomena. I conclude by investigating the prospects for the resolution of mathematical deep disagreements in virtue-theoretic approaches to informal logic and mathematical practice. (shrink)

Until recently, discussion of virtues in the philosophy of mathematics has been fleeting and fragmentary at best. But in the last few years this has begun to change. As virtue theory has grown ever more influential, not just in ethics where virtues may seem most at home, but particularly in epistemology and the philosophy of science, some philosophers have sought to push virtues out into unexpected areas, including mathematics and its philosophy. But there are some mathematicians already there, ready to (...) meet them, who have explicitly invoked virtues in discussing what is necessary for a mathematician to succeed. In both ethics and epistemology, virtue theory tends to emphasize character virtues, the acquired excellences of people. But people are not the only sort of thing whose excellences may be identified as virtues. Theoretical virtues have attracted attention in the philosophy of science as components of an account of theory choice. Within the philosophy of mathematics, and mathematics itself, attention to virtues has emerged from a variety of disparate sources. Theoretical virtues have been put forward both to analyse the practice of proof and to justify axioms; intellectual virtues have found multiple applications in the epistemology of mathematics; and ethical virtues have been offered as a basis for understanding the social utility of mathematical practice. Indeed, some authors have advocated virtue epistemology as the correct epistemology for mathematics (and perhaps even as the basis for progress in the metaphysics of mathematics). This topical collection brings together several of the researchers who have begun to study mathematical practices from a virtue perspective with the intention of consolidating and encouraging this trend. (shrink)

The virtues and vices of argument are now an established part of argumentation theory. They have helped direct attention to hitherto neglected aspects of how we argue. However, it remains controversial whether a virtue theory can contribute to some of the central questions of argumentation theory. Notably, Harvey Siegel disputes whether what he calls ‘arguments in the abstract propositional sense’ can be evaluated meaningfully within a virtue theory. This paper explores the prospects for grounding an account of argument evaluation in (...) arguers’ virtues and vices by examination of a corresponding debate in virtue ethics: Can an ethics of virtue guide our actions? It is thereby argued that an affirmative answer is possible: virtues suffice for argument evaluation. (shrink)

A list of resources for virtue theories of argumentation. Last updated July 9th 2024.

Is a human more conscious than an octopus? In the science of consciousness, it’s oftentimes assumed that some creatures (or mental states) are more conscious than others. But in recent years, a number of philosophers have argued that the notion of degrees of consciousness is conceptually confused. This paper (1) argues that the most prominent objections to degrees of consciousness are unsustainable, (2) examines the semantics of ‘more conscious than’ expressions, (3) develops an analysis of what it is for a (...) degreed property to count as degrees of consciousness, and (4) applies the analysis to various theories of consciousness. I argue that whether consciousness comes in degrees ultimately depends on which theory of consciousness turns out to be correct. But I also argue that most theories of consciousness entail that consciousness comes in degrees. (shrink)

Deep disagreements are characteristically resistant to rational resolution. This paper explores the contribution a virtue theoretic approach to argumentation can make towards settling the practical matter of what to do when confronted with apparent deep disagreement, with particular attention to the virtue of courage.

Given the fact that numerous challenges prohibit African immigrants from availing financial capital for the purpose of starting a business in South Africa, this paper sets out to investigate whether those that succeeded experienced a significant increment in their financial capital three or more years after startup. This paper was designed within the quantitative and qualitative research paradigms. A triangulation of three methods was utilised to collect and analyze the data. From a quantitative perspective, the survey questionnaire was utilised. To (...) complement the quantitative approach, personal interviews and focus groups were utilised as the methods within the qualitative approach paradigm. The primary data collection instrument used was the survey questionnaire which was complemented by personal interviews and focus group debates. The results revealed that the majority (71.1%), of African immigrants, had an estimated start-up financial capital in the range of R 1 000 and R 5 000, which tended to vary across the different ethnic groups studied. After three or more years, the estimated financial capital of the majority (39.3%) of the respondents moved to a new range of R 50 001 - R 100 000. Noting a disparity in capital growth exhibited by the different ethnic groups, it was found that all the Ethiopians who started with a capital within the range of R1 000-R5 000 moved into a new capital range (R50 001-R100 000) three or more years after business start-up. Although, the absolute migration in terms of capital demonstrated by the Ethiopian is not in the highest capital range, they were nonetheless the only country that experienced this phenomenal growth. In terms of occupying the highest capital range (R250 001- R500 000) 11.1% of Cameroonians moved into that range followed by 7.4% of Somalians. Using an increase in financial capital (generated by ploughing back profits) as a proxy for growth, we were able to prove that these African immigrant-owned businesses grow and the rate of growth varied across the different ethnic groups studied. (shrink)

Many philosophers of science are ontologically committed to a lush rainforest of special science entities ), but are often reticent about the criteria that determine which entities count as real. On the other hand, the metaphysics literature is much more forthcoming about such criteria, but often links ontological commitment to irreducibility. We argue that the irreducibility criteria are in tension with scientific realism: for example, they would exclude viruses, which are plausibly theoretically reducible and yet play a sufficiently important role (...) in scientific accounts of the world that they should be included in our ontology. In this paper, we show how the inhabitants of the rainforest can be inoculated against the eliminative threat of reduction: by demonstrating that they are emergent. According to our account, emergence involves a screening off condition as well as novelty. We go on to demonstrate that this account of emergence, which is compatible with theoretical reducibility, satisfies common intuitions concerning what should and shouldn't count as real: viruses are emergent, as are trouts and turkeys, but philosophically gerrymandered objects like trout-turkeys do not qualify. (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...) a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

A significant change in consumer viewing habits has taken place globally with the introduction and growth of over-the-top television services (OTT TV). In the absence of scientific evidence on television consumer behavior viewership changes, this paper's objective was to ascertain the television viewing patterns, given the rise of OTT TV services in South Africa. The study adopted a quantitative research approach using a convenience sampling method. Online survey questionnaires were distributed on reputable social media networks and collected 391 responses. The (...) study results suggest changes to TV consumption, in that more TV consumers are binge-watching and streaming content online. Furthermore, more than five hours a day are spent online consuming TV content, especially by male respondents. The sharing of OTT TV logon credentials with family and friends is prevalent across all demographic groups. The fundamental aspect of this paper is that it illuminates the rivalry between the Pay-Tv operators and OTT TV service providers while aiding the Independent Communications Authority of South Africa (ICASA) to regulate the market. (shrink)

Habitual actions unfold without conscious deliberation or reflection, and yet often seem to be intelligently adjusted to situational intricacies. A question arises, then, as to how it is that habitual actions can exhibit this form of intelligence, while falling outside the domain of paradigmatically intentional actions. Call this the intelligence puzzle of habits. This puzzle invites three standard replies. Some stipulate that habits lack intelligence and contend that the puzzle is ill-posed. Others hold that habitual actions can exhibit intelligence because (...) they are guided by automatic yet rational, propositional processes. Others still suggest that habits guide intelligent behaviour without involving propositional states by shaping perception in action-soliciting ways. We develop an alternative fourth answer based on John Dewey’s pragmatist account of habit. We argue that habits promote intelligent behaviour by shaping perception, by forming an interrelated network among themselves, and by cooperating with the environment. (shrink)

Frege-Geach worries about embedding and composition have plagued metaethical theories like emotivism, prescriptivism and expressivism. The sharpened point of such criticism has come to focus on whether negation and inconsistency have to be understood in descriptivist terms. Because they reject descriptivism, these theories must offer a non-standard account of the meanings of ethical and normative sentences as well as related semantic facts, such as why certain sentences are inconsistent with each other. This paper fills out such a solution to the (...) negation problems, following some of the original emotivist ideas about the interplay of interests in conversation. We communicate both to share information and coordinate our actions, and we use distinctively normative language like deontic ‘must’ and ‘may’ to negotiate what people are to do. The kinds of disagreement involved in such negotiation can illuminate the issues with negation and inconsistency. This paper outlines a dynamic semantic system in which these ideas can bear fruit, developing the scorekeeping model of conversation. The result is clarification about what Frege-Geach worries can mean for nondescriptive semantics. (shrink)

In their account of theory change in logic, Aberdein and Read distinguish 'glorious' from 'inglorious' revolutions--only the former preserves all 'the key components of a theory' [1]. A widespread view, expressed in these terms, is that empirical science characteristically exhibits inglorious revolutions but that revolutions in mathematics are at most glorious [2]. Here are three possible responses: 0. Accept that empirical science and mathematics are methodologically discontinuous; 1. Argue that mathematics can exhibit inglorious revolutions; 2. Deny that inglorious revolutions are (...) characteristic of science. Where Aberdein and Read take option 1, option 2 is preferred by Mizrahi [3]. This paper seeks to resolve this disagreement through consideration of some putative mathematical revolutions. [1] Andrew Aberdein and Stephen Read, The philosophy of alternative logics, The Development of Modern Logic (Leila Haaparanta, ed.), Oxford University Press, Oxford, 2009, pp. 613-723. [2] Donald Gillies (ed.), Revolutions in Mathematics, Oxford University Press, Oxford, 1992. [3] Moti Mizrahi, Kuhn's incommensurability thesis: What's the argument?, Social Epistemology 29 (2015), no. 4, 361-378. (shrink)

Drawing on the literature on the support of small businesses and case studies, this article advances the case for the support of African immigrant-owned businesses in South Africa which is currently neglected. In the past justification for the institution of support policies in favour of small businesses was predominantly based on the fact that they disproportionately encountered more obstacles than their larger counterparts. Shying away from the traditional “business focus” justification for the support of small business, this study advances an (...) “owner focus” justification - one that is based on the unique needs of the owner, rather than that of the business itself. Following similar logic, given that most immigrants start small businesses as a means of survival in their host countries, this study advances an even more compelling reason why immigrant-owned businesses should be supported. Acknowledging the role that a supported small business sector in general and immigrant-owned business, in particular, can play in the economy and taking steps to strengthen this sector would be in the right direction for the South Africa government. (shrink)

Virtue theories have lately enjoyed a modest vogue in the study of argumentation, echoing the success of more far-reaching programmes in ethics and epistemology. Virtue theories of argumentation (VTA) comprise several conceptually distinct projects, including the provision of normative foundations for argument evaluation and a renewed focus on the character of good arguers. Perhaps the boldest of these is the pursuit of the fully satisfying argument, the argument that contributes to human flourishing. This project has an independently developed epistemic analogue: (...) eudaimonistic virtue epistemology. Both projects stress the importance of widening the range of cognitive goals beyond, respectively, cogency and knowledge; both projects emphasize social factors, the right sort of community being indispensable for the cultivation of the intellectual virtues necessary to each project. This paper proposes a unification of the two projects by arguing that the intellectual good life sought by eudaimonistic virtue epistemologists is best realized through the articulation of an account of argumentation that contributes to human flourishing. (shrink)

Although immigrants have been found to be particularly likely to engage in entrepreneurial activities in their host countries, very often their ability to do so is restricted by a range of challenges, including having limited access to finances. As a consequence, proactive immigrant entrepreneurs establish informal financial associations, which are known as stokvels in South Africa, in order to compensate for the general lack of available capital for their business ventures. Accordingly, this paper has sought to ascertain the role, which (...) stokvels play in the startups and the growth of Cameroonian-owned businesses, and also the strategies which they employ. A mixed-methods approach was adopted to conduct the study and purposive sampling was employed to obtain a research sample of 123 participants to respond to the survey questionnaire and 10 to take part in one-on-one in-depth interviews. The data was analysed through the use of the Statistical Package for Social Sciences (SPSS) software, which generated findings in the form of descriptive statistics. The results suggest that most emerging immigrant entrepreneurs struggle to obtain sufficient startup capital. It also emerged from the findings that stokvels played an equally significant role in providing the capital, which was necessary for the growth of their businesses. On the basis of the assumption that widening access to finance would improve both the startups and the growth of immigrant-owned businesses, the authors of this paper advocate for inclusive policy initiatives, which consider the unique characteristics of the immigrant entrepreneur. In addition, it is hoped that this paper will make a valid contribution to the discourse concerning inclusive finance and be of interest to policymakers and academics. (shrink)

Virtue theories of argumentation (VTA) emphasize the roles arguers play in the conduct and evaluation of arguments, and lay particular stress on arguers’ acquired dispositions of character, that is, virtues and vices. The inspiration for VTA lies in virtue epistemology and virtue ethics, the latter being a modern revival of Aristotle’s ethics. Aristotle is also, of course, the father of Western logic and argumentation. This paper asks to what degree Aristotle may thereby be claimed as a forefather by VTA.

Andrews argues for a pluralistic folk psychology that employs different kinds of practices and different kinds of cognitive tools (including personality trait attribution, stereotype activation, inductive reasoning about past behavior, and ...

This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform (...) program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals. (shrink)

I intend to bring recent work applying virtue theory to the study of argument to bear on a much older problem, that of disagreements that resist rational resolution, sometimes termed "deep disagreements". Just as some virtue epistemologists have lately shifted focus onto epistemic vices, I shall argue that a renewed focus on the vices of argument can help to illuminate deep disagreements. In particular, I address the role of arrogance, both as a factor in the diagnosis of deep disagreements and (...) as an obstacle to their mutually acceptable resolution. Arrogant arguers are likely to make any disagreements to which they are party seem deeper than they really are and arrogance impedes the strategies that we might adopt to resolve deep disagreements. As a case in point, since arrogant or otherwise vicious arguers cannot be trusted not to exploit such strategies for untoward ends, any policy for deep disagreement amelioration must require particularly close attention to the vices of argument, lest they be exploited by the unscrupulous. (shrink)

Intelligent neurotechnology is an emerging field that combines neurotechnologies like brain-computer interface (BCI) with artificial intelligence. This paper introduces a capability framework to assess the responsible use of intelligent BCI systems and provide practical ethical guidance. It proposes two tests, the threshold and flourishing tests, that BCI applications must meet, and illustrates them in a series of cases. After a brief introduction (Section 1), Section 2 sets forth the capability view and the two tests. It illustrates the threshold test using (...) examples from clinical medicine of BCI applications that enable patients with profound disabilities to function at a threshold level through computer mediation. Section 3 illustrates the flourishing test by exploring possible future applications of BCI involving neuroenhancements for healthy people, using examples adapted from research currently underway in the US military. Section 3 applies a capability lens to a complex case involving dual effects, both therapeutic and non-therapeutic, showing how the threshold and flourishing tests resolve the case. Section 4 replies to three objections: neurorights are the best tool for assessing BCI; the two tests are moving targets; and the analysis utilizes a capability view to do work it is not designed for. The paper concludes that a capability view offers unique advantages and gives practical guidance for evaluating the responsible use of present and future BCI applications. Extrapolating from our analysis may help guide other emerging technologies, such as germline gene editing, expected to impact central human capabilities. (shrink)

This paper examines the idea of "objective phenomenology," or a way of understanding the phenomenal character of conscious experiences that doesn’t require one to have had the kinds of experiences under consideration. My central thesis is that structural facts about experience—facts that characterize purely how conscious experiences are structured—are objective phenomenal facts. I begin by precisifying the idea of objective phenomenology and diagnosing what makes any given phenomenal fact subjective. Then I defend the view that structural facts about experience are (...) objective. I also argue that structural facts about experience, despite being objective, nevertheless still give rise to an explanatory gap. (shrink)

Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of mathematical reasoning closely resemble patterns of reasoning in nonmathematical domains. Hence the tools developed to understand informal reasoning, collectively known as argumentation theory, are also applicable to much mathematical argumentation. This chapter investigates some of the details of that application. Consideration is given to the many contrasting meanings (...) of the word “argument”; to some of the specific argumentation-theoretic tools that have been applied to mathematics, notably Toulmin layouts and argumentation schemes; to some of the different ways that argumentation is implicated in mathematical practices; and to the social aspects of mathematical argumentation. (shrink)

A review of Andrew Melnyk, A Physicalist Manifesto: Thoroughly Modern Materialism (Cambridge University Press, 2003).

Often financially excluded by the traditional banking system, small and medium-sized enterprises (SMEs) in many developing countries have found in mobile money services (MMS) a sustainable alternative. Despite its potential in propelling inclusive growth, the use and adoption of mobile money (MM) by SMEs has generally been low in developing countries, and one of the reasons has been limited data that supported its impact on financial performance. As a result, there was a need to investigate the impact of the mobile (...) money payment and receipt services on the financial performance of the SMEs in Cameroon. This paper implemented a mixed research paradigm with data collected through the administration of a survey questionnaire and from one-on-one in-depth interviews. A sample of 285 SMEs responded to the survey, while 12 owners/managing directors were purposively selected to participate in the personal interviews. Version 25 of the Statistical Package for the Social Sciences (SPSS) software was used to analyse the quantitative data, while the qualitative data was analysed along themes. The results were, after that, triangulated for credibility reasons. The concluding findings indicated that the mobile money payment and receipt services contributed of the order of 73% of the total variance in the turnover of the SMEs in Douala after they had begun to use the technology. By confirming the positive relationship between the use of mobile money services and the financial performance of businesses, it is hoped that all the relevant stakeholders will see this as a possible solution to the financial challenges that SMEs face in developing economies. (shrink)

Some philosophers think that life is worth living not merely because of the goods and the bads within it, but also because life itself is good. I explain how this idea can be formalized by associating each version of such of a view with a function from length of life to the value generated by life itself. Then I argue that every version of the view that life itself is good faces some version of the following dilemma: either (1) good (...) human lives are worse than very long lives wholly devoid of pleasure, desire-satisfaction, knowledge, or any other goods, or (2) very short lives containing nothing but suffering are worth living. Since neither result is plausible, we ought to reject the view that life itself is good. On the view I favor, any given life may be worth living because of the goods that it contains, but life itself is neutral. (shrink)

Conscious experiences are characterized by mental qualities, such as those involved in seeing red, feeling pain, or smelling cinnamon. The standard framework for modeling mental qualities represents them via points in geometrical spaces, where distances between points inversely correspond to degrees of phenomenal similarity. This paper argues that the standard framework is structurally inadequate and develops a new framework that is more powerful and flexible. The core problem for the standard framework is that it cannot capture precision structure: for example, (...) consider the phenomenal contrast between seeing an object as crimson in foveal vision versus merely as red in peripheral vision. The solution I favor is to model mental qualities using regions, rather than points. I explain how this seemingly simple formal innovation not only provides a natural way of modeling precision, but also yields a variety of further theoretical fruits: it enables us to formulate novel hypotheses about the space and structures of mental qualities, formally differentiate two dimensions of phenomenal similarity, generate a quantitative model of the phenomenal sorites, and define a measure of discriminatory grain. A noteworthy consequence is that the structure of the mental qualities of conscious experiences is fundamentally different from the structure of the perceptible qualities of external objects. (shrink)

Recent research (Latham, Miller and Norton, forthcoming) reveals that a majority of people represent actual time as dynamical. But do they, as suggested by McTaggart and Gödel, represent time as essentially dynamical? This paper distinguishes three interrelated questions. We ask (a) whether the folk representation of time is sensitive or insensitive: i.e., does what satisfies the folk representation of time in counterfactual worlds depend on what satisfies it actually—sensitive—or does is not depend on what satisfies it actually—insensitive, and (b) do (...) those who represent actual time as dynamical, represent time in all possible worlds as dynamical—what we call insensitive dynamism—or do they represent time in all possible worlds as dynamical only conditional on the actual world in fact being dynamical—what we call sensitive dynamism and (c) do dynamists and non-dynamists deploy two different representations of time, or deploy the same representation, but disagree about what actually satisfies that representation? We found no evidence that the folk representation of time is sensitive, or that the folk representation of time is essentially dynamical in either sense, though we did find evidence of a shared representation, on which dynamical features are sufficient, but not necessary, for time. (shrink)

This entry discusses the notion of a unit of normativity. This notion may be understood in two distinct ways. One way to understand a unit of normativity is as some particular type of assignment of normative status, e.g., a requirement, an ought, a reason, or a permission. A second way to understand a unit of normativity is as a measure of a quantity of normativity, perhaps associated with the numerical assignment given to the strength of reasons. This entry outlines some (...) basic differences among units of normativity in the first sense, noting that they vary slightly depending on whether one is talking about normativity in a more general or more robust sense. This entry also discusses in more detail the question of whether there might be a unit of normativity in the second sense. It discusses the relevant metaphysical questions. It also provides an explanation of why reasons can be assigned numerical strengths, even if there are no units of normativity in the sense of measurements of quantities of normativity. (shrink)

Douglas Walton’s multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.

This is an applied study endeavour with the aim of exploring the specific role of survivalist retail entrepreneurship in job creation and poverty reduction. Two hundred (200) subjects were sampled using snowballing technique. Structured questionnaires as well as semi-structured interviews were employed to collect data. 182 usable questionnaires were analysed with the help of SPSS version 23. The results indicate that retail entrepreneurship is evolving in Khayelitsha, especially when one does not only focus on spaza shops, but looks at the (...) entire survivalist retail industry. This sector is capable of creating jobs, reducing poverty and aiding economic growth of the country even more, should measures to boost motivation levels and self-efficacy of the entrepreneurs emerge. These measures, among others could include support programmes for survivalist entrepreneurial ventures that present greater potential for growth and job creation. Part of the support programmes should include business skills training (such as simple bookkeeping practices and human resource management). Importantly, this study is the first of its kind in the community of Khayelitsha; an emerging black-populated township in South Africa, indicating a new vista for retail entrepreneurship research. (shrink)

This paper investigates strategic planning to understand managers’ perception of its benefits to Non- Profit Organisations (NPOs). The investigation was preceded by a review and repertoire of theoretical evidence of NPOs integration of strategic planning in support of management function: a management tool designed for and used mainly by businesses. The study was based on the application of quantitative data collection and analysis to understand respondents’ perceptions. The paper found considerable increase and popularity in the usage of strategic planning by (...) NPOs having learned about its benefits from prior working experience in businesses. Even though, there is an increase in NPOs’ usage of strategic planning because of envisaged benefit, other NPOs’ Managers simply do not have enough time, skills and resources to deploy them in their respective NPOs. With limited and competitive funding, the use of strategic planning becomes competitive imperatives for NPOs seeking to attract the much-needed funds to support and promote their operations in South Africa. (shrink)

Some authors have begun to appeal directly to studies of argumentation in their analyses of mathematical practice. These include researchers from an impressively diverse range of disciplines: not only philosophy of mathematics and argumentation theory, but also psychology, education, and computer science. This introduction provides some background to their work.

Most elpistologists now agree that hope for a specific outcome involves more than just desire plus the presupposition that the outcome is possible. This paper argues that the additional element of hope is a disposition to focus on the desired outcome in a certain way. I first survey the debate about the nature of hope in the recent literature, offer objections to some important competing accounts, and describe and defend the view that hope involves a kind of focus or attention. (...) I then suggest that this account makes sense of the intuitive thought that there are moral and pragmatic norms on hope that go beyond the norms on desires and modal presuppositions. I conclude by considering some key questions. (shrink)

This article discusses the triage response to the COVID-19 delta variant surge of 2021. One issue that distinguishes the delta wave from earlier surges is that by the time it became the predominant strain in the USA in July 2021, safe and effective vaccines against COVID-19 had been available for all US adults for several months. We consider whether healthcare professionals and triage committees would have been justified in prioritising patients with COVID-19 who are vaccinated above those who are unvaccinated (...) in first-order or second-order triage. Given that lack of evidence for a correlation between short-term survival and vaccination, we argue that using vaccination status during first-order triage would be inconsistent with accepted triage standards. We then turn to notions of procedural fairness, equity and desert to argue that that there is also a lack of justification for using vaccination status in second-order triage. In planning for future surges, we recommend that medical institutions base their triage decisions on principles meant to save the most lives, minimise inequity and protect the public’s trust, which for the time being would not be served by the inclusion of vaccination status. (shrink)

I want to say something about the sort of arguments that it is possible to lose, and whether losing arguments can be done well. I shall focus on losing philosophical arguments, and I will be talking about arguments in the sense of acts of arguing. This is the sort of act that one can perform on one’s own or with one other person in private. But in either of these cases it is difficult to win—or to lose. So I shall (...) concentrate on arguments with audiences. We may think of winning or losing such arguments in terms of whether the audience is convinced. Of course, this doesn’t necessarily have anything to do with who is in the right. That means that there are two sorts of loser: real losers, who lose the argument deservedly, because they are in the wrong, and mere losers, who lose the argument undeservedly, because they are in the right. Hence there must also be two sorts of winner: real winners, who win the argument deservedly, because they are in the right, and mere winners, who win the argument undeservedly, because they are in the wrong. An optimal outcome for arguments with losers would be if all the losers are real losers. (shrink)

This paper argues that new light may be shed on mathematical reasoning in its non-pathological forms by careful observation of its pathologies. The first section explores the application to mathematics of recent work on fallacy theory, specifically the concept of an ‘argumentation scheme’: a characteristic pattern under which many similar inferential steps may be subsumed. Fallacies may then be understood as argumentation schemes used inappropriately. The next section demonstrates how some specific mathematical fallacies may be characterized in terms of argumentation (...) schemes. The third section considers the phenomenon of correct answers which result from incorrect methods. This turns out to pose some deep questions concerning the nature of mathematical knowledge. In particular, it is argued that a satisfactory epistemology for mathematical practice must address the role of luck. (shrink)

A widely circulated list of spurious proof types may help to clarify our understanding of informal mathematical reasoning. An account in terms of argumentation schemes is proposed.

Much work in MKM depends on the application of formal logic to mathematics. However, much mathematical knowledge is informal. Luckily, formal logic only represents one tradition in logic, specifically the modeling of inference in terms of logical form. Many inferences cannot be captured in this manner. The study of such inferences is still within the domain of logic, and is sometimes called informal logic. This paper explores some of the benefits informal logic may have for the management of informal mathematical (...) knowledge. (shrink)

My goal in this paper is to show that Kant’s prohibition on certain kinds of knowledge of things-in-themselves is motivated less by his anti-soporific encounter with Hume than by his new view of the distinction between “real” and “logical” modality, a view that developed out of his reflection on the rationalist tradition in which he was trained. In brief: at some point in the 1770’s, Kant came to hold that a necessary condition on knowing a proposition is that one be (...) able to prove that all the items it refers to are either really possible or really impossible. Most propositions about things-in-themselves, in turns out, cannot meet this condition. I conclude by suggesting that the best interpretation of this modal condition is as a kind of coherentist constraint. (shrink)

Each person has a special relation to his or her own well-being. This rough thought, which can be sharpened in different ways, is supposed to substantially count against objectivist theories on which one can intrinsically benefit from, or be harmed by, factors that are independent of one’s desires, beliefs, and other attitudes. It is often claimed, contra objectivism, that one cannot be _alienated_ from one’s own interests, or that improvements in a person’s well-being must _resonate_ with that person. However, I (...) argue that every theory of well-being must allow that we can be alienated from our own well-being, and that sophisticated objectivists can accept and make use of a resonance constraint against their opponents. (shrink)