In accordance with the contemporary state of the natural sciences, Wolfgang Sohst here presents an extended ontological model where the process is the first cosmological category, not objects. Her starts with very few primordial categories of becoming that even precede the fundamental concepts of physics and mathematics. Since Democritus, ie. for about 2,400 years, all cultures of European descent rest mainly on the presupposition that substances and their properties provide the inventory of our world. This, however, contradicts the formerly and (...) still today lively intuition (intellectually up to Heraclitus, again in Aristotle and only then resurgent with Hegel) that objects are not the dominating aspect of what we are living in. Rather, the basis of our cosmos is a world process as the result of the complementary relationship of particular objects and their mutual efficiencies. (shrink)

Computationalism holds that our grasp of notions like ‘computable function’ can be used to account for our putative ability to refer to the standard model of arithmetic. Tennenbaum's Theorem has been repeatedly invoked in service of this claim. I will argue that not only do the relevant class of arguments fail, but that the result itself is most naturally understood as having the opposite of a reference-fixing effect — i.e., rather than securing the determinacy of number-theoretic reference, Tennenbaum's Theorem points (...) towards a sense in which portions of our computational vocabulary should be regarded as model-relative. (shrink)

Philosophy and Phenomenological Research, EarlyView.

Abstract: There is much that I admire in Richard Moran's account of how first-person authority may be consistent with self-knowledge as an achievement. In this paper, I examine his attempt to characterize the goal of psychoanalytic treatment, which is surely that the patient should go beyond the mere theoretical acceptance of the analyst's interpretation, and requires instead a more intimate, first-personal, awareness by the patient of their psychological condition.I object, however, that the way in which Moran distinguishes between the deliberative (...) and the theoretical attitudes is ultimately inconsistent with a satisfactory account of psychoanalytic practice; mainly because, despite Moran's claims to the contrary, such a distinction is still inspired by a Cartesian picture of the self. I argue that, in the light of his distinction, Moran may emphasize that an agent's psychological dispositions should be permeable to her decisions and projects, but is forced to reject the idea that permeability could go the other way too. I explore Bernard Williams' notion of acknowledgment and Simone Weil's distinction between two notions of necessity, in order to articulate a notion of receptive passivity which may help us to characterize this second direction of permeability. I finally outline why receptive passivity (and, thereby, the double direction of permeability) is crucial in order to identify the goal of psychoanalytic treatment and, derivatively, to understand how a certain kind of awareness may have a significant therapeutic effect. (shrink)

Law being a derivative feature of reality, it exists in virtue of more fundamental things, upon which it depends. This raises the question of what is the relation of dependence that holds between law and its more basic determinants. The primary aim of this paper is to argue that grounding is that relation. We first make a positive case for this claim, and then we defend it from the potential objection that the relevant relation is rather rational determination (Greenberg 2004, (...) 2006). Against this challenge, we argue that the apparent objection is really no objection, for on its best understanding, rational determination turns out to actually be grounding. Finally, we clarify the framework for theories on law-determination that results from embracing our view; by way of illustration, we offer a ground-theoretic interpretation of Hartian positivism, and show how it can defuse an influential challenge to simple positivist accounts of law. (shrink)

In the present article, I attempt to relate Saul Kripke's “sceptical paradox” to some issues about the self; specifically, the relation between the self and its mental states and episodes. I start with a brief reconstruction of the paradox, and venture to argue that it relies crucially on a Cartesian model of the self: the sceptic regards the Wittgensteinian “infinite regress of interpretation” as the foundation of his challenge, and this is where he commits the crucial mistake. After the diagnosis, (...) I attempt to sketch my own model of the self and its mental states and episodes. This tentative picture binds meaning and the self together, stressing the subjective aspect of meaning without committing the same fallacy. The solution ventured here is relatively independent of the secondary literatures on the sceptical paradox of following rules, for it aims to provide a new angle to understand and meet the challenge presented by the sceptic. (shrink)

Some forms of analytic reconstructivism take natural language (and common sense at large) to be ontologically opaque: ordinary sentences must be suitably rewritten or paraphrased before questions of ontological commitment may be raised. Other forms of reconstructivism take the commitment of ordinary language at face value, but regard it as metaphysically misleading: common-sense objects exist, but they are not what we normally think they are. This paper is an attempt to clarify and critically assess some common limits of these two (...) reconstructivist strategies. (shrink)

The outcomes of educational assessments undoubtedly have real implications for students, teachers, schools and education in the widest sense. Assessment results are, for example, used to award qualifications that determine future educational or vocational pathways of students. The results obtained by students in assessments are also used to gauge individual teacher quality, to hold schools to account for the standards achieved by their students, and to compare international education systems. Given the current high-stakes nature of educational assessment, it is imperative (...) that the measurement practices involved have stable philosophical foundations. However, this article casts doubt on the theoretical underpinnings of contemporary educational measurement models. Aspects of Wittgenstein’s later philosophy and Bohr’s philosophy of quantum theory are used to argue that a quantum theoretical rather than a Newtonian model is appropriate for educational measurement, and the associated implications for the concept of validity are elucidated. Whilst it is acknowledged that the transition to a quantum theoretical framework would not lead to the demise of educational assessment, it is argued that, where practical, current high-stakes assessments should be reformed to become as ‘low-stakes’ as possible. This article also undermines some of the pro high-stakes testing rhetoric that has a tendency to afflict education. (shrink)

Reasoning is an activity of ours by which we come to satisfy synchronic requirements of rationality. However, reasoning itself is regulated by diachronic permissions of rationality. For each synchronic requirement there appears to be a corresponding diachronic permission, but the requirements and permissions are not related to each other in a systematic way. It is therefore a puzzle how reasoning according to permissions can systematically bring us to satisfy requirements.

There is a rather widespread consensus, among historians of philosophy, concerning the decline of Wittgenstein amid recent analytic philosophy. However, the exact import of such a decline,...

It is common to criticize the idea of objectivity by claiming that we cannot make sense of any cognitive contact with the world that is not constituted by the very materials of our thinking, and to conclude that the idea must be abandoned and that the world is ‘well lost’. We resist this conclusion and argue for a notion of objectivity that places its source within the domain of thoughts by proposing a conception of facts, akin to McDowell’s, as thinkable (...) while independent of any act of thinking. However, we do so without any empiricist commitment. (shrink)

It has recently been argued that public linguistic norms are implicated in the epistemology of testimony by way of underwriting the reliability of language comprehension. This paper argues that linguistic normativity, as such, makes no explanatory contribution to the epistemology of testimony, but instead emerges naturally out of a collective effort to maintain language as a reliable medium for the dissemination of knowledge. Consequently, the epistemologies of testimony and language comprehension are deeply intertwined from the start, and there is no (...) room for grounding the one in terms of the other. (shrink)

Our limited a priori-reasoning skills open a gap between our finding a proposition conceivable and its metaphysical possibility. A prominent strategy for closing this gap is the postulation of ideal conceivers, who suffer from no such limitations. In this paper I argue that, under many, maybe all, plausible unpackings of the notion of ideal conceiver, it is false that ideal negative conceivability entails possibility.

ABSTRACT Tensism is the view that tense is not merely a property of language and the mind, but of the world itself. Perspectivalism extends this idea to all perspectival properties be they person or locational. One challenge that perspectivalism faces is the problem of expressing the contents of the beliefs and utterances of persons that are in other perspectival positions. One proposed solution to this problem is to allow for semantic theories that "realign" the expression of contents so that the (...) contents expressed by persons in other perspectival positions can be re-expressed from one's own perspectival position. In this paper I argue that a similar semantic realignment strategy could be deployed in helping perspectivalists generally come to grips with a puzzle raised by the Special Theory of Relativity. In short, the strategy is to realign the expression of contents in another inertial frame so that they are expressed from within your inertial frame. As we will see, the strategy is not puzzle free. (shrink)

Many science teachers are presented with the challenge of characterizing science as a dynamic, human endeavour. Perspectivism, as a hermeneutic philosophy of science, has the potential to be a learning tool for teachers as they elucidate the complex nature of science. Developed earlier by Nietzsche and others, perspectivism has recently re-emerged in the context of the philosophy of science in the work of Ronald Giere. Giere presents a compelling case that scientific theories and scientific observation are perspectival by using science (...) itself. There are many tangible examples already present in science textbooks which, when approached in a certain way, offer an exciting opportunity for a realistic incorporation of philosophy of science into the classroom. Furthermore, introducing perspectivism to students necessitates an engagement with notions such as truth, reality, perception and experimentation, through a familiar medium, while painting a nuanced conception of the nature of science. (shrink)

Philosophers traditionally recognize two main features of mental states: intentionality and phenomenal consciousness. To a first approximation, intentionality is the aboutness of mental states, and phenomenal consciousness is the felt, experiential, qualitative, or "what it's like" aspect of mental states. In the past few decades, these features have been widely assumed to be distinct and independent. But several philosophers have recently challenged this assumption, arguing that intentionality and consciousness are importantly related. This article overviews the key views on the relationship (...) between consciousness and intentionality and describes our favored view, which is a version of the phenomenal intentionality theory, roughly the view that the most fundamental kind of intentionality arises from phenomenal consciousness. (shrink)

The subject matter of this paper is the view that it is correct, in an absolute sense, to believe a proposition just in case the proposition is true. I take issue with arguments in support of this view put forward by Nishi Shah and David Velleman.

In this Introduction, we aim to introduce the reader to the basic topic of this book. As part of this, we explain why we are using two different expressions (‘conceptual engineering’ and ‘conceptual ethics’) to describe the topics in the book. We then turn to some of the central foundational issues that arise for conceptual engineering and conceptual ethics, and finally we outline various views one might have about their role in philosophy and inquiry more generally.

The most pressing worry for panpsychism is arguably the combination problem, the problem of intelligibly explaining how the experiences of microphysical entities combine to form the experiences of macrophysical entities such as ourselves. This chapter argues that the combination problem is similar in kind to other problems of mental combination that are problems for everyone: the problem of phenomenal unity, the problem of mental structure, and the problem of new quality spaces. The ubiquity of combination problems suggests the ignorance hypothesis, (...) the hypothesis that we are ignorant of certain key facts about mental combination, which allows the panpsychist to avoid certain objections based on the combination problem. (shrink)

What does it mean to know how to do something? This book develops a comprehensive account of know-how, a crucial epistemic goal for all who care about getting things right, not only with respect to the facts, but also with respect to practice. It proposes a novel interpretation of the seminal work of Gilbert Ryle, according to which know-how is a competence, a complex ability to do well in an activity in virtue of guidance by an understanding of what it (...) takes to do so. This idea is developed into a full-fledged account, Rylean responsibilism, which understands know-how in terms of the normative guidance and responsible control of one's acts. Within the complex current debate about know-how, this view occupies a middle ground position between the intellectualist claim that know-how just is propositional or objectual knowledge and the anti-intellectualist claim that know-how just is ability. In genuine know-how, practical ability and guiding intellect are both necessary, but essentially intertwined. (shrink)

The paper deals with the interpretation of Wittgenstein's views on the power of occurrent mental states to sort objects or states of affairs as in accord or in conflict with them, as presented in the rule-following passages of the Philosophical Investigations. I shall argue first that the readings advanced by Saul Kripke and John McDowell fail to provide a satisfactory construal of Wittgenstein's treatment of a platonist account of this phenomenon, according to which the sorting power of occurrent mental states (...) is to be explained by reference to the mind's ability to grasp universals. I contend that the argument that Kripke extracts from Wittgenstein's discussion doesn't succeed in undermining the platonist position. Then I argue that McDowell's reading exhibits a more serious shortcoming: the position that he ascribes to Wittgenstein is indistinguishable from the platonist account. Then I put forward a proposal as to how to articulate the relationship between Wittgenstein's views and the platonist position. (shrink)

I argue that a target of the rule - following considerations is the thought that there are mental episodes in which a consciously accessible item guides me in my decision to respond in a certain way when I follow a rule. I contend that Wittgenstein’s position on this issue invokes a distinction between a literal and a symbolic reading of the claim that these processes of guidance take place. In the literal sense he rejects the claim, but in the symbolic (...) sense he sees nothing wrong with it. I consider some arguments that Wittgenstein deploys against the literal sense of the claim. (shrink)

Inscrutability arguments threaten to reduce interpretationist metasemantic theories to absurdity. Can we find some way to block the arguments? A highly influential proposal in this regard is David Lewis’ ‘ eligibility ’ response: some theories are better than others, not because they fit the data better, but because they are framed in terms of more natural properties. The purposes of this paper are to outline the nature of the eligibility proposal, making the case that it is not ad hoc, but (...) instead flows naturally from three independently motivated elements; and to show that severe limitations afflict the proposal. In conclusion, I pick out the element of the eligibility response that is responsible for the limitations: future work in this area should therefore concentrate on amending this aspect of the overall theory. (shrink)

The paper considers the Quinean heritage of the argument for the indeterminacy of translation. Beyond analyzing Quine’s notion of stimulus meaning, the paper discusses two Kripkean argument’s against the Quinean claim that dispositions can provide the basis for an account of meaning: the Normativity Argument and the Finiteness Argument. An analogy between Kripke’s arguments and Hume’s argument for epistemological skepticism about the external world will be drawn. The paper shows that the answer to Kripke’s rule-following skepticism is analogous to the (...) answer to Humean skepticism: our use of concepts is more basic than, and presupposed by, the statement of the skeptical problem itself. (shrink)

Abstract This paper offers an appraisal of Phillip Pettit's approach to the problem how a merely finite set of examples can serve to represent a determinate rule, given that indefinitely many rules can be extrapolated from any such set. I argue that Pettit's so-called ethnocentric theory of rule-following fails to deliver the solution to this problem he sets out to provide. More constructively, I consider what further provisions are needed in order to advance Pettit's general approach to the problem. I (...) conclude that what is needed is an account that, whilst it affirms the view that agents' responses are constitutively involved in the exemplification of rules, does not allow such responses the pride of place they have in Pettit's theory. (shrink)

How can a person forge a stable ethical identity over time? On one view, ethical constancy means reapplying the same moral rules. On a rival view, it means continually adapting to one's ethical context in a way that allows one to be recognized as the same practical agent. Focusing on his thinking about repetition, I show how Kierkegaard offers a critical perspective on both these views. From this perspective, neither view can do justice to our vulnerability to certain kinds of (...) crisis, in which our ethical self-understanding is radically undermined. I further examine his alternative account of ethical constancy, by clarifying Kierkegaard's idea of a ‘second ethics’, as addressed to those who feel ethically powerless and as requiring an ongoing process of self-transformation. (shrink)

According to Barry Stroud, Wittgenstein thought that language is social only in this minimal way: we cannot make sense of the idea of someone having a language unless we can describe her as using signs in conformity with the linguistic practices of some community. Since a solitary person could meet this condition, Stroud concludes that, for Wittgenstein, solitary languages are possible. I argue that Wittgenstein in fact thought that language is social in a much more robust way. Solitary languages are (...) not possible because we cannot make sense of the idea of someone having a language unless we can think of her as actively participating in the linguistic practices that fix the standards governing the applications of her words. (shrink)

Moral particularism, on some interpretations, is committed to a shapeless thesis: the moral is shapeless with respect to the natural. (Call this version of moral particularism ‘shapeless moral particularism’). In more detail, the shapeless thesis is that the actions a moral concept or predicate can be correctly applied to have no natural commonality (or shape) amongst them. Jackson et al. (Ethical particularism and patterns, Oxford University Press, Oxford, 2000) argue, however, that the shapeless thesis violates the platitude ‘predication supervenes on (...) nature’—predicates or concepts apply because of how things are, and therefore ought to be rejected. I defend shapeless moral particularism by arguing that Jackson et al’s contention is less compelling than it firstly appears. My defense is limited in the sense that it does not prove shapeless moral particularism to be right and it leaves open the possibility that shapeless moral particularism might attract criticisms different from the ones advanced by Jackson et al. But at the very least, I hope to say enough to undermine Jackson et al’s powerful attack against it. The plan of this paper is as follows. Section 1 glosses the view of moral particularism and why it is taken to be essentially committed to the shapeless thesis. Section 2 examines a Wittgensteinian argument for the shapeless thesis. I shall argue that the Canberrans’ counter-arguments against it on grounds of disjunctive commonality and conceptual competence do not succeed. Section 3 explicates Canberrans’ predication supervenience argument against the shapeless thesis. Section 4 offers my criticisms of the Canberrans’ predication supervenience argument. In view of the above discussions, in Sect. 5, I conclude that there is no compelling argument (from the Canberrans) to believe that the shapeless thesis fails (as I have argued in Sect. 4). In fact, there is some good reason for us to believe it (as I have argued in Sect. 2). If so, I contend that moral particularism, when construed as essentially committed to the shapeless thesis, still remains as a live option. (shrink)

Knowledge of a language is a kind of knowledge, the possession of which enables a speaker to understand and perform a variety of linguistic actions in that language. In this paper, I pursue an agency-oriented approach to knowledge of language. I begin by examining two major agency-oriented models of knowledge of language: Michael Dummett's Implicit Knowledge Model and Jennifer Hornsby's Practical Knowledge Model. I argue that each of these models is inadequate for different reasons. I present an Acquaintance Knowledge Model, (...) in which a speaker's knowledge of a language is a combination of the speaker's first-order linguistic ability and second-order acquaintance with his ability and actions. (shrink)

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

Metaethical realists disagree about the nature of normative properties. Naturalists think that they are ordinary natural properties: causally efficacious, a posteriori knowable, and usable in the best explanations of natural and social sciences. Non-naturalist realists, in contrast, argue that they are sui generis: causally inert, a priori knowable and not a part of the subject matter of sciences. It has been assumed so far that naturalists can explain causally how the normative predicates manage to refer to normative properties, whereas non-naturalists (...) are unable to provide equally satisfactory metasemantic explanations. This article first describes how the previous non-naturalist accounts of reference fail to tell us how the normative predicates could have come to refer to the non-natural properties rather than to the natural ones. I will then use the so-called qua-problem to show how the causal theories of reference of naturalists also fail to fix the reference of normative predicates to unique natural properties. Finally, I will suggest that, just as naturalists need to rely on the non-causal mechanism of reference magnetism to solve the previous problem, non-naturalists, too, can rely on the very same idea to respond to the pressing metasemantic challenges that they face concerning reference. (shrink)

Kripke (1982, Wittgenstein on rules and private language. Cambridge, MA: MIT Press) presents a rule-following paradox in terms of what we meant by our past use of “plus”, but the same paradox can be applied to any other term in natural language. Many responses to the paradox concentrate on fixing determinate meaning for “plus”, or for a small class of other natural language terms. This raises a problem: how can these particular responses be generalised to the whole of natural language? (...) In this paper, I propose a solution. I argue that if natural language is computable in a sense defined below, and the Church–Turing thesis is accepted, then this auxiliary problem can be solved. (shrink)

The way physics and other parts of science work can be explained in the framework of radical constructivism. However, this constructivist view itself shows that a uniquily accepted epistemology, constructivism or any other, would not be an advantage for the developmentof science. Unlike physics some parts of science successfully use constructivist concepts inside their theories. Because this is the case particularly in learning theory, constructivist ideas can help to improve physics teaching.

The recent exchange between Robert Brandom and Jürgen Habermas provides an opportunity to compare and contrast some aspects of their systems. Both present broadly inferential accounts of meaning, according to which the content of an expression is determined by its role in an inferential network. Several problems confront such theories of meaning - one of which threatens the possibility of communication because content is relative to an individual's set of beliefs. Brandom acknowledges this problem and provides a solution to it. (...) The point of this paper is to argue that it arises for Habermas's theory as well. I then present several solutions Habermas could adopt and evaluate their feasibility. The result is that Habermas must alter his theory of communicative action by contextualizing the standards for successful communication. (shrink)

Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept (...) from these beginnings. Proposals for arriving at natural number by (empirical) induction presuppose the mathematical concepts they seek to explain. Moreover, standard experimental tests for children's understanding of number terms do not necessarily tap these concepts. (2) True concepts of number do appear, however, when children are able to understand generalizations over all numbers; for example, the principle of additive commutativity (a+b=b+a). Theories of how children learn such principles usually rely on a process of mapping from physical object groupings. But both experimental results and theoretical considerations imply that direct mapping is insufficient for acquiring these principles. We suggest instead that children may arrive at natural numbers and arithmetic in a more top-down way, by constructing mathematical schemas. (shrink)

This article provides a survey of Wittgenstein’s remarks in which he discusses various kinds of technology. I argue that throughout his career, his use of technological examples displays a thematic unity: technologies are invoked in order to illustrate a certain mechanical conception of the mind. I trace how his use of such examples evolved as his views on the mind and on meaning changed. I also discuss an important and somewhat radical anti-mechanistic strain in his later thought and suggest that (...) Wittgenstein’s attitude to mechanistic explanations in psychology was ultimately quite ambivalent. (shrink)

ABSTRACTThis paper provides a naturalistic account of inference. We posit that the core of inference is constituted by bare inferential transitions, transitions between discursive mental representations guided by rules built into the architecture of cognitive systems. In further developing the concept of BITs, we provide an account of what Boghossian [2014] calls ‘taking’—that is, the appreciation of the rule that guides an inferential transition. We argue that BITs are sufficient for implicit taking, and then, to analyse explicit taking, we posit (...) rich inferential transitions, which are transitions that the subject is disposed to endorse. (shrink)

The two main challenges of the theory of conceptual content presented by Robert Brandom in Making It Explicit are to account for a referential dimension of conceptual content and to account for the objectivity of conceptual norms. Brandom tries to meet both these challenges in chapter 8 of his book. I argue that the accounts presented there can only be understood if seen against the background of Brandom's theory of communication developed in chapter 7. This theory is motivated by the (...) well-known problem that semantic holism threatens the possibility of communication because it has the consequence that words mean different things in different mouths. Brandom offers a solution to this problem in terms of what he calls recurrence commitments. I show that chapter 8 of Making It Explicit should be understood as arguing that a practice that includes acknowledging interpersonal recurrence commitments institutes both conceptual contents with a referential dimension and objective conceptual norms. I close by raising the objection that Brandom's argument can only show that conceptual norms are communally shared and not that they are objective. I propose an emendation of this argument, having recourse to a practice Brandom refers to as rational rectification in his new book Between Saying and Doing. (shrink)

Klein’s account of epistemic justification, infinitism, supplies a novel solution to the regress problem. We argue that concentrating on the normative aspect of justification exposes a number of unpalatable consequences for infinitism, all of which warrant rejecting the position. As an intermediary step, we develop a stronger version of the ‘finite minds’ objection.

Hayek's and Mises's argument for the impossibility of socialist planning is once again popular. Their case against socialism is predicated on an account of the nature of knowledge and social interaction. Hayek refined Mises's original argument by developing a philosophical anthropology which depicts individuals as tacitly knowledgeable rule-followers embedded in a 'spontaneous order' of systems of rules. Giddens, whose social theory is informed by his reading of Wittgenstein, has recently added his sociological support to Hayek's 'epistemological argument' against socialism. With (...) the aid of an interpretation of Wittgenstein which emphasizes his philosophy of praxis , I attempt to 'deconstruct' Giddens's and Hayek's 'picture' of tacit knowledge and rule-following on which their argument against socialism is predicated. (shrink)

John Broome’s Rationality Through Reasoning is a trail-blazing study of the nature of rationality, the nature of reasoning and the connection between the two. But it may be somewhat misleading in two respects. First, his theory of reasoning is consistent with the meta-propositional view that he rejects; it develops a broadly similar theory but in much greater detail. And while his discussion of rule-following helps to explain the role of rules in reasoning, it does not constitute a response to the (...) classic problem associated with Wittgenstein and Kripke. (shrink)

In this paper I study the development of arithmetical cognition with the focus on metaphorical thinking. In an approach developing on Lakoff and Núñez, I propose one particular conceptual metaphor, the Process → Object Metaphor, as a key element in understanding the development of mathematical thinking.

In every search for knowledge one presupposes that there is more to the phenomenal field one studies than what meets the eye. A play between those phenomena thatpresentthemselves to an observer andabsententities or phenomena, and the orders, structures or laws that govern these, lies at the heart of anysearchfor empirical knowledge. On the basis of this play of presence and absence read by a particular discourse into a more or less defined phenomenal field, phenomena are constitutedquasigns for that discourse's participants.