To what extent does cultural diversity affect the activity and the products of philosophizing?

The relationship between language and conceptual thought is an unresolved problem in both philosophy and psychology. It remains unclear whether linguistic structure plays a role in our cognitive processes. This special issue brings together cognitive scientists and philosophers to focus on the role of language in numerical cognition: because of their universality and variability across languages, number words can serve as a fruitful test case to investigate claims of linguistic relativism.

The performance of the Mundurucu on the number-space task may exemplify a general competence for drawing analogies between space and other linear dimensions, but Mundurucu participants spontaneously chose number when other dimensions were available. Response placement may not reflect the subjective scale for numbers, but Cantlon et al.'s proposal of a linear scale with scalar variability requires additional hypotheses that are problematic.

This paper argues against the view that a single environmental ethic can be formulated that could be universally applied in all geographic settings and across cultures. The paper specifically criticizes Callicott's proposal that Leopold's land ethic be adopted as a global environment ethic, and develops an alternative bioregional perspective which suggests that while there can be a great deal of variety in how different cultures think about and interact with their local environments, there is nonetheless the need for cross-cultural dialogue (...) on how specific problems that transcend cultural boundaries can be successfully resolved. (shrink)

We agree with Nuñez that the Mundurucu do not master the formal propreties of number lines and logarithms, but as the term "intuition" implies, they spontaneously experience a logarithmic mapping of number to space as natural and "feeling right.".

Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by (...) a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers. (shrink)

This essay returns to the Azande tribe of Africa, discussed by Polanyi (in Personal Knowledge) and others, in order to rethink the issues of rationality and irrationality and of essentialism and relativism, and to consider what these issues mean in our actual lives as daily we make epistemological and moral judgements.

Introduction There is an enormous amount of confusion about what relativism is. In this paper I aim to take a step toward clarifying what it is by discussing some things that it is not — that is, by distinguishing it from some other views with which it is often confused or conflated, such as nihilism and scepticism. I do this primarily because I think that the question of the character of relativism is interesting in itself. A clearer characterization of relativism (...) would also be important instrumentally, however, as before we can accurately assess relativism we must have a clear idea of what it is. The secondary aim of this paper, then, is to function as a prolegomenon to an assessment of relativism. The tertiary aim of the paper is to make a few observations about the view which most clearly stands opposed to relativism, the view which I will call ‘objectivism.’ Because relativism is often confused with views like fallibilism and pluralism, objectivism often finds itself unjustly associated with views like infallibilism and political authoritarianism. (If this paper had a subtitle, it would be: ‘And What Objectivism Isn't.’) Although it is not the point of this paper to criticize relativism, I should make it clear that it began as a part of an anti-relativistic project, and, although anti-relativism is not necessarily objectivism, I should perhaps make it clear that I am more than a little sympathetic to the latter type of view. (shrink)

I attempt to rebut the following standard objections against cultural relativism: 1. It is self-defeating for a cultural relativist to take the principle of tolerance as absolute; 2. There are universal moral rules, contrary to what cultural relativism claims; 3. If cultural relativism were true, Hitler’s genocidal actions would be right, social reformers would be wrong to go against their own culture, moral progress would be impossible, and an atrocious crime could be made moral by forming a culture which approves (...) of it; 4. Cultural relativism is silent about how large a group must be in order to be a culture, and which culture we should follow when we belong to two cultures with conflicting moralities. (shrink)

Introductory Remarks Why Paradigm Variation is Ensuant upon Contradiction How Externalistic Warrant Parries the Threat of [Truth] Relativism Why Not to Ward Relativism off by Means of Foundationalistic Justification Defending a relativistic View of Warrant A Transcendental Argument against [Truth] Relativism Towards [Partial] convergence A Gradualistic Paraconsistent Way to Convergence 7.1. - Perspectivism and Non Copulative Paraconsistent Logics 7.2. - The Strength and Weakness of Two Copulative Approaches to Paraconsistent Logic 7.3. - The Logic of Contradictorial Gradualism 7.4. - Implementing (...) the Notion of Relative Truth Bibliographic References.. (shrink)

The mapping of numbers onto space is fundamental to measurement and to mathematics. Is this mapping a cultural invention or a universal intuition shared by all humans regardless of culture and education? We probed number-space mappings in the Mundurucu, an Amazonian indigene group with a reduced numerical lexicon and little or no formal education. At all ages, the Mundurucu mapped symbolic and nonsymbolic numbers onto a logarithmic scale, whereas Western adults used linear mapping with small or symbolic numbers and logarithmic (...) mapping when numbers were presented nonsymbolically under conditions that discouraged counting. This indicates that the mapping of numbers onto space is a universal intuition and that this initial intuition of number is logarithmic. The concept of a linear number line appears to be a cultural invention that fails to develop in the absence of formal education. (shrink)

Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and animals conforms to the predictions of Euclidean geometry. However, Euclidean geometry also includes concepts that transcend the perceptible, such as objects that are infinitely small or infinitely large, or statements of necessity and impossibility. We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that (...) are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry. For instance, on a surface described to them as perfectly planar, the Mundurucu's estimations of the internal angles of triangles added up to ∼180 degrees, and when asked explicitly, they stated that there exists one single parallel line to any given line through a given point. These intuitions were also partially in place in the group of younger US participants. We conclude that, during childhood, humans develop geometrical intuitions that spontaneously accord with the principles of Euclidean geometry, even in the absence of training in mathematics. (shrink)

Developing earlier studies of the system of numbers in Mundurucu, this paper argues that the Mundurucu numeral system is far more complex than usually assumed. The Mundurucu numeral system provides indirect but insightful arguments for a modular approach to numbers and numerals. It is argued that distinct components must be distinguished, such as a system of representation of numbers in the format of internal magnitudes, a system of representation for individuals and sets, and one-to-one correspondences between the numerosity expressed by (...) the number and its metrics. It is shown that while many-number systems involve a compositionality of units, sets and sets composed of units, few-number languages, such as Mundurucu, do not have access to sets composed of units in the usual way. The nonconfigurational character of the Mundurucu language, which is related to a property for which we coin the term 'low compositionality power', accounts for this and explains the curious fact that Mundurucus make use of marked one-to-one correspondence strategies in order to overcome the limitations of the core system at the perceptual/motor interface of the language faculty. We develop an analysis of a particular construction, parallel numbers, which has not been studied before, elucidating the whole system. This analysis, we argue, sheds new light on classical philosophical, psychological and linguistic debates about numbers and numerals and their relation to language, and more particularly, sheds light on few-number languages. (shrink)

Is calculation possible without language? Or is the human ability for arithmetic dependent on the language faculty? To clarify the relation between language and arithmetic, we studied numerical cognition in speakers of Mundurukú, an Amazonian language with a very small lexicon of number words. Although the Mundurukú lack words for numbers beyond 5, they are able to compare and add large approximate numbers that are far beyond their naming range. However, they fail in exact arithmetic with numbers larger than 4 (...) or 5. Our results imply a distinction between a nonverbal system of number approximation and a language-based counting system for exact number and arithmetic. (shrink)

Many point to Peter Winch’s discussion of rationality, relativism, and religion as a paradigmatic example of cultural relativism. In this paper, I argue that Winch’s relationship to relativism is widely misinterpreted in that, despite his pluralistic understanding of rationality, Winch does allow for universal features of culture in virtue of which cross-cultural understanding and even critique is possible. Nevertheless, I also argue that given the kind of cultural universals that Winch produces, he fails to avoid relativism. This is because in (...) order to provide the standards without which relativism ensues, one requires a certain kind of criteria of rationality, namely, what I here call substantive universals, a kind of criteria which Winch rejects. (shrink)

[Publisher's description:] When can we be morally responsible for our behavior? Is it fair to blame people for actions that are determined by heredity and environment? Can we be responsible for the actions of relatives or members of our community? In this provocative book, Tamler Sommers concludes that there are no objectively correct answers to these questions. Drawing on research in anthropology, psychology, and a host of other disciplines, Sommers argues that cross-cultural variation raises serious problems for theories that propose (...) universally applicable conditions for moral responsibility. He then develops a new way of thinking about responsibility that takes cultural diversity into account. -/- Relative Justice is a novel and accessible contribution to the ancient debate over free will and moral responsibility. Sommers provides a thorough examination of the methodology employed by contemporary philosophers in the debate and a challenge to Western assumptions about individual autonomy and its connection to moral desert. (shrink)

The key problem for normative (or moral) cultural relativism arises as soon as we try to formulate it. It resists formulations that are (1) clear, precise, and intelligible; (2) plausible enough to warrant serious attention; and (3) faithful to the aims of leading cultural relativists, one such aim being to produce an important alternative to moral universalism. Meeting one or two of these conditions is easy; meeting all three is not. I discuss twenty-four candidates for the label "cultural relativism," showing (...) that not one meets all three conditions. In the end I conclude that cultural relativists have produced nothing that threatens universalism. (shrink)