The Kyoto Protocol and its implementation brought forward issues of climate change and its mitigation strategy by national measures through the creation of market mechanisms in carbon trading. The trading of emission certificates has become an important trade commodity worldwide, and its markets have diversified. While this opportunity has created new markets for entrepreneurs and actors that range from farmers to brokers, unequal involvement in most developing countries is noted. This has been mostly observed in those countries where entrepreneurship is (...) often regarded as the cornerstone of economic growth and social improvement. South Africa has spearheaded other African countries in its implementation of Clean Development Mechanism (CDM) projects leading to carbon trading. Based on our research on South African entrepreneurship and its involvement in the carbon market, we conclude that albeit a number of opportunities, the biggest challenge for entrepreneurial participation in the carbon market remains in the nature and processes of CDM project implementation, the lack of a clear supportive system, limited access to financing and—more importantly—general ignorance of the trading opportunities by entrepreneurs. The complex nature of CDM projects themselves limits participation due to lack of the necessary skills on the national level leading to uneven distribution of CDM projects on provincial levels in South Africa. Recommendations are provided to overcome the obstacles and to promote entrepreneurial activity in the carbon market. (shrink)

Contemporary philosophers commonly suppose that any fundamental entities there may be are maximally determinate. More generally, they commonly suppose that, whether or not there are fundamental entities, any determinable entities there may be are grounded in, hence less fundamental than, more determinate entities. So, for example, Armstrong takes the physical objects constituting the presumed fundamental base to be “determinate in all respects” (1961, 59), and Lewis takes the properties characterizing things “completely and without redundancy” to be “highly specific” (1986, 60). (...) Here I look at the usually cited reasons for these suppositions as directed against the case of determinable properties, in particular, and argue that none is compelling (Sections 1 to 3). The discussion in Section 3 moreover identifies positive reason for taking some determinable properties to be part of a fundamental (or relatively fundamental) base. I close (Section 4) by noting certain questions arising from the possibility of fundamental determinables, as directions for future research. (shrink)

This book takes seriously the idea that at least some groups, such as corporations and governments, are genuine agents with mental states on which they act. For instance, in morally assessing a government’s response to the coronavirus pandemic, we are interested in what the government knew at various points as the pandemic developed. And in predicting the outcome of the current war in Ukraine, we might ask what Russia believes about the West’s determination to defend Ukraine. The book examines a (...) range of phenomena central to the epistemic and moral assessment of groups: group evidence, group belief, the basis of group belief, group justified belief, group knowledge, group motivation, and group blameless ignorance. Overall, the book defends a ‘non-summative’ functionalist view of groups. On a non-summative account of group phenomena, it is neither necessary nor sufficient for a group to have a property α that some/most/all of its members have that same property. By contrast, on a summative account it is necessary and sufficient for a group to have a property α that some/most/all of its members have that same property. Across the book I provide new arguments for non-summativism and new accounts of key group phenomena many of which have been relatively neglected in existing literature. While I provide independent arguments for a non-summative view of each phenomenon discussed, the conclusions of the chapters are mutually reinforcing. For adopting a non-summative account of one group phenomenon motivates adopting a non-summative account of others. (shrink)

Assertion is a fundamental feature of language. This volume will be the place to look for anyone interested in current work on the topic.

Increased technological and pharmacological interventions in patient care when patient outcomes are uncertain have been linked to the escalation in moral and ethical dilemmas experienced by health care providers in acute care settings. Health care research has shown that facilities that are able to attract and retain nursing staff in a competitive environment and provide high quality care have the capacity for nurses to process and resolve moral and ethical dilemmas. This article reports on the findings of a systematic review (...) of the empirical literature (1980 — February 2007) on the effects of unresolved moral distress and poor ethical climate on nurse turnover. Articles were sought to answer the review question: Does unresolved moral distress and a poor organizational ethical climate increase nurse turnover? Nine articles met the criteria of the review process. Although the prevailing sentiment was that poor ethical climate and moral distress caused staff turnover, definitive answers to the review question remain elusive because there are limited data that confidently support this statement. (shrink)

Introduction : reading Nietzsche skeptically -- Nietzsche and the Pyrrhonian tradition -- Skepticism in Nietzsche's early work : the case of "on truth and lie" -- The question of Nietzsche's "naturalism" -- Perspectivism and Ephexis in interpretation -- Skepticism and health -- Skepticism as immoralism.

ABSTRACTKantian conceptions of moral worth are thought to enjoy an advantage over their rivals in virtue of accommodating two plausible intuitions—that the praiseworthiness of an action is never ac...

Here I compare two accounts of metaphysical indeterminacy (MI): first, the 'meta-level' approach described by Elizabeth Barnes and Ross Cameron in the companion to this paper, on which every state of affairs (SOA) is itself precise/determinate, and MI is a matter of its being indeterminate which determinate SOA obtains; second, my preferred 'object-level' determinable-based approach, on which MI is a matter of its being determinate---or just plain true---that an indeterminate SOA obtains, where an indeterminate SOA is one whose constitutive object (...) has a determinable property, but no unique determinate of that determinable. In S1, I first note an important difference between our accounts, concerning whether MI is taken to induce propositional indeterminacy; in S2, I highlight and defend certain advantages of my account; in S3, I address certain of Barnes and Cameron's objections to my account. (shrink)

To what degree has biology influenced and shaped the development of moral systems? One way to determine the extent to which human moral systems might be the product of natural selection is to explore behaviour in other species that is analogous and perhaps homologous to our own. Many non-human primates, for example, have similar methods to humans for resolving, managing, and preventing conflicts of interests within their groups. Such methods, which include reciprocity and food sharing, reconciliation, consolation, conflict intervention, and (...) mediation, are the very building blocks of moral systems in that they are based on and facilitate cohesion among individuals and reflect a concerted effort by community members to find shared solutions to social conflict. Furthermore, these methods of resource distribution and conflict resolution often require or make use of capacities for empathy, sympathy, and sometimes even community concern. Non-human primates in societies in which such mechanisms are present may not be exactly moral beings, but they do show signs of a sense of social regularity that -- just like the norms and rules underlying human moral conduct -- promotes a mutually satisfactory modus vivendi. (shrink)

Vetter's Potentiality is an exposition and development of a new account of possibility and necessity, given in terms of potentialities. In this critical notice, I give an outline of some of the key claims of the book. I then raise some issues for the extent to which Vetter's view can accommodate genuine de re modalities, especially those of possible existence and non-existence.

Recently, a debate has developed between those who claim that essence can be explained in terms of de re modality (modalists), and those who claim that de re modality can be explained in terms of essence (essentialists). The aim of this paper is to suggest that we should reassess. It is assumed that either necessity is to be accounted for in terms of essence, or that essence is to be accounted for in terms of necessity. I will argue that we (...) should assume neither. I discuss what role these key notions – essence and necessity – can reasonably be thought to contribute to our understanding of the world, and argue that, given these roles, there is no good reason to think that we should give an account of one in terms of the other. I conclude: if we can adequately explain de re modality and essence at all, we should aim to do so separately. (shrink)

The paper asks whether diagrams in mathematics are particularly fruitful compared to other types of representations. In order to respond to this question a number of examples of propositions and their proofs are considered. In addition I use part of Peirce’s semiotics to characterise different types of signs used in mathematical reasoning, distinguishing between symbolic expressions and 2-dimensional diagrams. As a starting point I examine a proposal by Macbeth. Macbeth explains how it can be that objects “pop up”, e.g., as (...) a consequence of the constructions made in the diagrams of Euclid, that is, why they are fruitful. It turns out, however, that diagrams are not exclusively fruitful in this sense. By analysing the proofs given in the paper I introduce the notion of a ‘faithful representation’. A faithful representation represents as either an image or as a metaphor. Secondly it represents certain relevant relations. Thirdly manipulations on the representations respect manipulations on the objects they represent, so that new relations may be found. The examples given in the paper illustrate how such representations can be fruitful. These examples include proofs based on both symbolic expressions as well as diagrams and so it seems diagrams are not special when it comes to fruitfulness. Having said this, I do present two features of diagrams that seem to be unique. One consists of the possibility of exhibiting the type of relation in a diagram—or simply showing that a relation exists—as a contrast to stating in words that it exists. The second is the spatial configurations possible when using diagrams, e.g., allowing to show multiple relations in a single diagram. (shrink)

This chapter investigates the conflict between thought and speech that is inherent in lying. This is the conflict of saying what you think is false. The chapter shows how stubbornly saying what you think is false resists analysis. In traditional analyses of lying, saying what you think is false is analyzed in terms of saying something and believing that it is false. But standard cases of unconscious or divided belief challenge these analyses. Classic puzzles about belief from Gottlob Frege and (...) Saul Kripke show that suggested amendments involving assent instead of belief do not fare better. I argue that attempts to save these analyses by appeal to guises or Fregean modes of presentation will also run into trouble. I then consider alternative approaches to untruthfulness that focus on (a) expectations for one’s act of saying/asserting and (b) the intentions involved in one’s act of saying/asserting. Here I introduce two new kinds of case, which I call “truth serum” and “liar serum” cases. Consideration of these cases reveals structural problems with intention- and expectation-based approaches as well. Taken together, the string of cases presented suggests that saying what you think is false, or being untruthful, is no less difficult and interesting a subject for analysis than lying itself. Tackling the question of what it is to say what you think is false illuminates ways in which the study of lying is intertwined with fundamental issues in the nature of intentional action. (shrink)

The null morpheme POS -- The null morpheme EVAL -- Implicature : a brief review -- Evaluativity as implicature -- Extensions of the evaluativity implicature.

I will ask the conditional question: if folk attributions of "know" are not sensitive to the stakes and/or the salience of error, does this cast doubt on contextualism or subject-sensitive invariantism (SSI)? I argue that if it should turn out that folk attributions of knowledge are insensitive to such factors, then this undermines contextualism, but not SSI. That is not to say that SSI is invulnerable to empirical work of any kind. Rather, I defend the more modest claim that leading (...) versions of SSI are not undermined by one particular kind of experimental result, namely the recent suggestion that knowledge attributions are insensitive to the stakes. (shrink)

Many follow Kant in thinking that morally worthy actions must be carried out solely from the motive of duty. This outlook faces two challenges: (1) The One Feeling Too Few problem (actions that issue from, say, compassion also seem to have moral worth), and (2) The One Thought Too Many problem (some actions have moral worth precisely because they’re not motivated by duty). These challenges haven’t led Kantians to dispense with the motive of duty. Instead, they have proposed to push (...) it into the background. We should not (the thought goes) construe duty as a primary motive, a consideration that motivates the agent to act. Duty is best thought of as a secondary motive, a background concern that constrains her choice. Since it is consistent with acting from duty at the secondary level that one is motivated at the primary level by compassion, this move is thought to overcome both challenges. In this paper, I argue that secondary motive views don’t live up to their stated ambitions. Such proposals either fail to make progress on issues with which primary motive views continue to grapple, or they render the motive of duty ill-suited to underwrite a plausible account of moral worth. (shrink)

These comments are part of a book symposium on Karen Bennett's book, _Making Things Up_.

In what does philosophical progress consist? 'Vertical' progress corresponds to development within a specific paradigm/framework for theorizing (of the sort associated, revolutions aside, with science); 'horizontal' progress corresponds to the identification and cultivation of diverse paradigms (of the sort associated, conservativism aside, with art and pure mathematics). Philosophical progress seems to involve both horizontal and vertical dimensions, in a way that is somewhat puzzling: philosophers work in a number of competing frameworks (like artists or mathematicians), while typically maintaining that only (...) one of these is correct (like scientists). I diagnose this situation as reflecting that we are presently quite far from the end of inquiry into philosophical methodology. The good news is that we appear to be making advances on this score. The bad news is that failure to recognize or make explicit that our standards are in flux often leads to dogmatism, as I illustrate by attention to three assumptions presently operative in metaphysical and metametaphysical contexts. I close by identifying a tension between vertical and horizontal progress in philosophy, and suggesting an updated version of Carnap's principle of tolerance for new philosophical forms. (shrink)

de Anima III.10 characterizes akrasia as a conflict between phantasia (“imagination”) on one side and rational cognition on the other: the akratic agent is torn between an appetite for what appears good to her phantasia and a rational desire for what her intellect believes good. This entails that akrasia is parallel to certain cases of perceptual illusion. Drawing on Aristotle's discussion of such cases in the de Anima and de Insomniis , I use this parallel to illuminate the difficult discussion (...) of akrasia in Nicomachean Ethics VII.3, arguing that its account of akrasia as involving ignorance is compatible with, and in fact crucially supplements, the more straightforward account we find elsewhere in the corpus of akrasia as a struggle between desires. (shrink)

Contextualists support their view by appeal to cases which show that whether an attribution of knowledge seems correct depends on attributor factors. Contextualists conclude that the truth-conditions of knowledge attributions depend on the attributor's context. Invariantists respond that these cases show only that the warranted assertability-conditions of knowledge attributions depend on the attributor's context. I examine DeRose's recent argument against the possibility of such an invariantist response, an argument which appeals to the knowledge account of assertion and the context-sensitivity of (...) assertion. I argue that DeRose's new argument does not rule out either of the two forms of invariantism, classic and subject-sensitive invariantism. Further, I argue against DeRose that an invariantist can explain the context-sensitivity of assertion. (shrink)

One striking contrast that Kant draws between the kind of cognitive capacities that humans have and alternative kinds of intellect concerns modal concepts. Whilst , the very distinction between possibility and actuality would not arise for an intuitive understanding. The aim of this paper is to explore in more detail how the functioning of these cognitive capacities relates to modal concepts, and to provide a model of the intuitive understanding, in order to draw some general lessons for our ability to (...) make modal judgements, and the function of such judgements. (shrink)

This article discusses the role of diagrams in mathematical reasoning in the light of a case study in analysis. In the example presented certain combinatorial expressions were first found by using diagrams. In the published proofs the pictures were replaced by reasoning about permutation groups. This article argues that, even though the diagrams are not present in the published papers, they still play a role in the formulation of the proofs. It is shown that they play a role in concept (...) formation as well as representations of proofs. In addition we note that 'visualization' is used in two different ways. In the first sense 'visualization' denotes our inner mental pictures, which enable us to see that a certain fact holds, whereas in the other sense 'visualization' denotes a diagram or representation of something. (shrink)

I argue that the present (if not insuperable) lack of fixed standards in philosophy is associated with three barriers to philosophical progress, pertaining to intra-disciplinary siloing, sociological rather than philosophical determinants of philosophical attention, and the encouraging of bias.

Organizational deviance represents a costly behavior to many organizations. While some precursors to deviance have been identified, we hope to add to our predictive capabilities. Utilizing social cognitive theory and psychological contract theory as explanatory concepts, we explore the role of moral disengagement and turnover intentions, testing our hypotheses using two samples: a sample of 44 nurses from a hospital system in the Southwestern United States (Study 1), and a sample of 52 working adults collected from an online survey system (...) (Study 2). Results strongly supported our hypotheses in both samples, indicating that the self-regulatory deactivation inherent in moral disengagement led to increased organizational deviance; effects that were much more pronounced when turnover intentions were high. Our findings support the increased role of cognition in determining behavior when environmental pressures stemming from the psychological contract have been altered, leading to a number of theoretical and practical implications, particularly in industries with high turnover rates. (shrink)

The debate between exceptionalists and anti-exceptionalists about logic is often framed as concerning whether the justification of logical theories is a priori or a posteriori (for short: whether logic is a priori or a posteriori). As we substantiate (S1), this framing more deeply encodes the usual anti-exceptionalist thesis that logical theories, like scientific theories, are abductively justified, coupled with the common supposition that abduction is an a posteriori mode of inference, in the sense that the epistemic value of abduction is (...) (and, indeed, must be) a posteriori. In past work, however, we have argued that this common supposition is incorrect: abduction is an a priori mode of inference, in the sense that the epistemic value of abduction is (and indeed, must be) a priori (Biggs and Wilson 2017a, 2017b, 2019). After sketching our two main argumentative strategies for this conclusion (S2), we go on (S3) to consider its import on the proper understanding of anti-exceptionalism about logic. (shrink)

Although the term "torture lite" is frequently used to distinguish between physically mutilating torture and certain interrogation methods that are supposedly less severe, the distinction is not recognized in international law.

It is a longstanding problem for theorists of justice that many victims of injustice seem to prefer mistreatment, and perpetuate their own oppression. One possible response is to simply ignore such preferences as unreliable ‘adaptive preferences’. Capability theorists have taken this approach, arguing that individuals should be entitled to certain capabilities regardless of their satisfaction without them. Although this initially seems plausible, worries have been raised that undermining the reliability of individuals' strongly-held preferences impugns their rationality, and further excludes already (...) marginalised groups. I argue that such criticisms trade on an ambiguity between two uses of the term ‘adaptive preference’. An adaptive preference is often assumed to be irrational, and an unreliable guide to its possessor's best interests. However, I suggest a preference may also be adaptive in the sense that it is an unreliable guide to our distributive entitlements, and that this does not require an assessment of individuals' rationality. I consider this distinction in relation to disability, arguing that this clarification allows us to justifiably ignore some disabled individuals' preferences, in the context of theorising about distributive justice, without disrespecting or undermining their rationality or culture. (shrink)

Abstract: This paper proposes a way to understand Kant's modalities of judgment—problematic, assertoric, and apodeictic—in terms of the location of a judgment in an inference. Other interpretations have tended to understand these modalities of judgment in terms of one or other conventional notion of modality. For example, Mattey (1986) argues that we should take them to be connected to notions of epistemic or doxastic modality. I shall argue that this is wrong, and that these kinds of interpretation of the modality (...) of judgments cannot be reconciled with a key claim made by Kant, namely, that the modality of a judgment does not contribute to its content, and has nothing to do with the matter that is judged. I offer an alternative interpretation based upon Kant's explicating these modalities in terms of the location of a judgment in an inference, whereby the modality of a judgment is determined by the role a judgment plays in a given course of reasoning. If I am right, then Kant in fact presents an intriguing thesis pertaining to the inferential status and potential of all our judgments. (shrink)

The main issue addressed in this paper is to provide a reassessment of the role and relevance of the body in social cognition from a radical embodied cognitive science perspective. Initially, I provide a historical introduction of the traditional account of the body in cognitive science, which I here call the cognitivist view. I then present several lines of criticism raised against the cognitivist view advanced by more embodied, enacted and situated approaches in cognitive science, and related disciplines. Next, I (...) analyze several approaches under the umbrella of embodied social cognition. My line of argument is that some of these approaches, although pointing toward the right direction of conceiving that the social mind is not merely contained inside the head, still fail to fully acknowledge the radically embodied social mind. I argue that the failure of these accounts of embodied social cognition could be associated with so-called ‘simple embodiment’. The third part of this paper focuses on elaborating an alternative characterization of the radically embodied social mind that also tries to reduce the remaining problems with ‘simple embodiment’. I draw upon two turns in radically embodied cognitive science, the enactive turn, and the social turn. On the one hand, there is the risk of focusing too much on the individual level in social cognition that may result in new kinds of methodological individualism that partly neglect the social dimension. On the other hand, socially distributed and socially extended approaches that pay more attention to the dynamics within social interaction may encounter the risk of ignoring the individual during social interaction dynamics and simultaneously not emphasizing the role of embodiment. The approach taken is to consider several ways of describing and incorporating the (individual) social mind at the social level that also includes language. I outline some ideas and motivations for how to study and expand the field of radical embodied social cognition in the future, as well as pose the ubiquitous hazard of falling back into a cognitivism view in several ways. (shrink)

In this paper, I discuss how information theory has been used in the study of animal communication, as well as how these uses are justified. Biologists justify their use of Shannon’s information measures by the work they do in allowing for comparisons between different organisms and because they measure a quantity that is purported to be important for natural selection. I argue that there are problems with both sorts of justification. To make these difficulties clear, I focus on the use (...) of Shannon’s information measures to quantify the amount of information transmitted by the fire ant’s odor trail and the honeybee’s waggle dance. Both of these systems are relatively simple and well understood, and the application of Shannon’s information measure to these systems initially seemed very promising and relatively straightforward. They are therefore particularly suitable for revealing the benefits and difficulties of applying Shannon’s information measures to biological systems in general, and animal communication systems in particular. (shrink)

In this paper, I examine one central strand of Lackey’s The Epistemology of Groups, namely her account of group justified belief and the puzzle cases she uses to develop it. Her puzzle cases involve a group of museum guards most of whom justifiably believe a certain claim but do so on different bases. Consideration of these cases leads her to hold that a group justifiably believes p if and only if (1) a significant proportion of its operative members (a) justifiably (...) believe p on (b) bases that are consistent when combined and (2) the total evidence which members of the group do and should have had sufficiently support p. I question her judgement about these cases and condition 2, by examining the nature of group evidence as well as ‘transmission’ principles governing the relationship between the epistemic standing of members of a group and the group itself. (shrink)

Contextualism is motivated by cases in which the intuitive correctness of a range of phenomena, including knowledge attributions, assertions and reasoning, depends on the attributor's context. Contextualists offer a charitable understanding of these intuitions, interpreting them as reflecting the truth value of the knowledge attributions and the appropriateness of the relevant assertions and reasoning. Here, I investigate a range of different invariantist accounts and examine the extent to which they too can offer a charitable account of the contextualist data.

Stoics and Sceptics distinguish belief (doxa) from a representationally and functionally similar but sub-doxastic state: passive yielding to appearance. Belief requires active assent to appearances, that is, affirmation of the appearances as true. I trace the roots of this view to Plato's accounts of doxa in the Republic and Theaetetus. In the Republic, eikasia and pistis (imaging and conviction) are distinguished by their objects, appearances versus ordinary objects; in the Theaetetus, perception and doxa are distinguished by their objects, proper perceptibles (...) versus ‘commons’, including being. But underlying these ontological distinctions is a psychological one: the lower mental states are confined to their lower objects because they are passive; the higher mental states have access to higher objects because they result from questioning appearances and making active affirmations about how things are. This doctrine of doxa anticipates both the Hellenistic one and modern accounts of belief as ‘aiming at truth’; it also shows Plato's views of doxa to have more in their favour philosophically and to cohere better with one another than generally thought. (shrink)

Debates about terrorism and technology often focus on the potential uses of technology by non-state terrorist actors and by states as forms of counterterrorism. Yet, little has been written about how technology shapes how we think about terrorism. In this chapter I argue that technology, and the language we use to talk about technology, constrains and shapes our understanding of the nature, scope, and impact of terrorism, particularly in relation to state terrorism. After exploring the ways in which technology shapes (...) moral thinking, I use two case studies to demonstrate how technology simultaneously hides and enables terroristic forms of state violence: police control technologies and Unmanned Aerial Vehicles (UAVs), or drones. In both these cases, I argue that features of these technologies, combined with a narrative of precision and efficiency, serves to mask the terroristic nature of the violence that these practices inflict and reinforces the moral exclusion of those against whom these technologies are deployed. In conclusion, I propose that identifying acts of terrorism requires a focus on the impact of technologies of violence (whether they are “high tech” or not) on those most affected, regardless of whether users of these technologies conceive of their actions as terroristic. (shrink)

This book shows how environmental decline relates to human health and to health care practices in the U.S. and other industrialized countries. It outlines the environmental trends that will strongly affect health, and challenges us to see the connections between ways of practicing medicine and the very environmental problems that damage ecosystems and make people sick. In addition to philosophical analysis of the converging values of bioethics and envrionmental ethics, the book offers case studies as well as a number of (...) practical suggestions for moving health care toward sustainability. (shrink)

This book is a collection of essays written by Bob Hale (three co-authored), with a critical introduction from Kit Fine. They comprise Hale’s final years of work, adding to and extending beyond his landmark monograph Necessary Beings: An Essay on Ontology, Modality, and the Relations Between Them (OUP, 2013, 2nd edition 2015). The essays develop and consolidate several key themes in Hale’s work, most notably the notion of definition, especially as it extends beyond definition of a word to definition of (...) a thing more generally, and its relations to essence and existence; how the recently influential notion of truthmaking relates to and illuminates some of these issues; and ontological questions connected with Hale’s metaphysical commitments on the one hand, and his commitments in the foundations of mathematics on the other. Several of the essays engage with and respond to work by Kit Fine, and contributions to Being Necessary: Themes of Ontology and Modality from the Work of Bob Hale (OUP 2018). As such, these essays also demonstrate a rich and fruitful philosophical dialogue between Hale and his critics and friends. (shrink)

The words in children's language learning environments are strongly predictive of cognitive development and school achievement. But how do we measure language environments and do so at the scale of the many words that children hear day in, day out? The quantity and quality of words in a child's input are typically measured in terms of total amount of talk and the lexical diversity in that talk. There are disagreements in the literature whether amount or diversity is the more critical (...) measure of the input. Here we analyze the properties of a large corpus of speech to children and simulate learning environments that differ in amount of talk per unit time, lexical diversity, and the contexts of talk. The central conclusion is that what researchers need to theoretically understand, measure, and change is not the total amount of words, or the diversity of words, but the function that relates total words to the diversity of words, and how that function changes across different contexts of talk. (shrink)

In this paper I propose a position in the ontology of mathematics which is inspired mainly by a case study in the mathematical discipline if-theory. The main theses of this position are that mathematical objects are introduced by mathematicians and that after mathematical objects have been introduced, they exist as objectively accessible abstract objects.