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)

The book "Philosophical Foundations of Neuroscience" is an engaging criticism of cognitive neuroscience from the perspective of a Wittgensteinian philosophy of ordinary language. The authors' main claim is that assertions like "the brain sees" and "the left hemisphere thinks" are integral to cognitive neuroscience but that they are meaningless because they commit the mereological fallacy—ascribing to parts of humans, properties that make sense to predicate only of whole humans. The authors claim that this fallacy is at the heart of Cartesian (...) dualism, implying that current cognitive neuroscientists are Cartesian dualists. Against this claim, we argue that the fallacy cannot be committed within Cartesian dualism either, for this doctrine does not allow for an intelligible way of asserting that a soul is part of a human being. Also, the authors' Aristotelian essentialistic outlook is at odds with their Wittgensteinian stance, and we were unconvinced by their case against explanatory reductionism. Finally, although their Wittgensteinian stance is congenial with radical behaviorism, their separation between philosophy and science seems less so because it is based on a view of philosophy as a priori. The authors' emphasis on the a priori, however, does not necessarily commit them to rationalism if it is restricted to conceptual or analytical truths. (shrink)

Does geometry constitues a core set of intuitions present in all humans, regarless of their language or schooling ? We used two non verbal tests to probe the conceptual primitives of geometry in the Munduruku, an isolated Amazonian indigene group. Our results provide evidence for geometrical intuitions in the absence of schooling, experience with graphic symbols or maps, or a rich language of geometrical terms.

In their most recent book, Evolving Enactivism: Basic Minds Meet Content (MIT 2017), Dan Hutto and Eric Myin claim to give a complete and gapless naturalistic account of cognition, but it comes with a kink. The kink being that content-involving cognition has special properties found nowhere else in nature, making it the case that minds capable of contentful thought differ in kind, in this key respect, from more basic minds. Contra Hutto and Myin, I argue that content-involving practices are themselves (...) simply a further extension of action and do not therefore warrant being called ‘different in kind’ or ‘kinky’. With the help of Ludwig Wittgenstein and John V. Canfield, I show that Enactivism meets the challenge of explaining higher-level cognition; and, contra continuity sceptics, offer ‘a philosophically cogent and empirically respectable account’ of how human minds can emerge from nonhuman minds. (shrink)

In recent decades, non-representational approaches to mental phenomena and cognition have been gaining traction in cognitive science and philosophy of mind. In these alternative approach, mental representations either lose their central status or, in its most radical form, are banned completely. While there is growing agreement that non-representational accounts may succeed in explaining some cognitive capacities, there is widespread skepticism about the possibility of giving non-representational accounts of cognitive capacities such as memory, imagination or abstract thought. In this paper, I (...) will critically examine the view that there are fundamental limitations to non-representational explanations of cognition. Rather than challenging these arguments on general grounds, I will examine a set of human cognitive capacities that are generally thought to fall outside the scope of non-representational accounts, i.e. numerical cognition. After criticizing standard representational accounts of numerical cognition for their lack of explanatory power, I will argue that a non-representational approach that is inspired by radical enactivism offers the best hope for developing a genuine naturalistic explanatory account for these cognitive capacities. (shrink)

ABSTRACTWe discuss the thesis of universality of geometric notions and offer critical reflections on the concept of “natural geometry” employed by Spelke and others. Promoting interdisciplinary wor...

This paper explicates Wittgenstein's vision of our place in nature and shows in what ways it is unlike and more fruitful than the picture of nature promoted by exclusive scientific naturalists. Wittgenstein's vision of nature is bound up with and supports his signature view that the task of philosophy is distinctively descriptive rather than explanatory. Highlighting what makes Wittgenstein's vision of nature special, it has been claimed that to the extent that he qualifies as a naturalist of any sort he (...) ought to be regarded as a liberal naturalist. We argue, in contrast, that focusing solely on the liberality of Wittgenstein's view of nature risks overlooking and downplaying the ways in which his philosophical clarifications can act as a platform for productively engaging with the sciences in their explanatory endeavors. We argue that Wittgenstein's vision of nature allows for a more relaxed form of naturalism in which philosophy can be a productive partner for scientific inquiry and investigation. Although this feature of Wittgenstein's vision of nature is not something that he himself emphasized, given his interests and concerns, it is an inspiring vision in an age in which philosophy must find its feet with and alongside the sciences. (shrink)

The volume takes on the much-needed task of describing and explaining the nature of the relations and interactions between mind, language and action in defining mentality. Papers by renowned philosophers unravel what is increasingly acknowledged to be the enacted nature of the mind, memory and language-acquisition, whilst also calling attention to Wittgenstein's contribution. The volume offers unprecedented insight, clarity, scope, and currency.

This article focuses on how young children acquire concepts for exact, cardinal numbers. I believe that exact numbers are a conceptual structure that was invented by people, and that most children acquire gradually, over a period of months or years during early childhood. This article reviews studies that explore children’s number knowledge at various points during this acquisition process. Most of these studies were done in my own lab, and assume the theoretical framework proposed by Carey. In this framework, the (...) counting list and the counting routine form a placeholder structure. Over time, the placeholder structure is gradually filled in with meaning to become a conceptual structure that allows the child to represent exact numbers A number system is a socially shared, structured set of symbols that pose a learning challenge for children. But once children have acquired a number system, it allows them to represent information that they had no way of representing before. (shrink)

Some interpreters have ascribed to Wittgenstein the view that mathematical statements must have an application to extra-mathematical reality in order to have use and so any statements lacking extra-mathematical applicability are not meaningful (and hence not bona fide mathematical statements). Pure mathematics is then a mere signgame of questionable objectivity, undeserving of the name mathematics. These readings bring to light that, on Wittgenstein’s offered picture of mathematical statements as rules of description, it can be difficult to see the role of (...) mathematical statements which relate to concepts that are not employed in empirical propositions e.g. set-theoretic concepts. I will argue that Wittgenstein’s picture is more flexible than might at first be thought and that Wittgenstein sees such statements as serving purposes not directly related to empirical description. Whilst this might make such systems fringe cases of mathematics, it does not bring their legitimacy as mathematical systems into question. (shrink)

The problem of how we can be both animals living in a causal world and agents acting through norms, principles, and rules in that same world persists. Many have understood this as a clash between science and our ordinary ways of talking. For many, this clash has been resolved in favour of the scientific image, either by reducing the intentional and normative to the causal laws of behaviourism or by eliminating our 'folk psychology' altogether in favour of a syntactic or (...) computational model of mind. Drawing on Wittgenstein, I argue that this mislocates the problem and so misunderstands what is required for its resolution. Our sophisticated language games are grounded in a bedrock of normative similarity judgments. The role these play in our language games can be seen most clearly in the initiate learning situation, that of the child just learning language or the pupil receiving first instruction in arithmetic. It is here that we can look for an accommodation of causality and normativity by understanding the relation between the novice and the master of the practice. (shrink)

Since the rise of modern natural science there has been deep tension between the conceptual and the natural. Wittgenstein's discussion of how we learn a sensation-language contains important resources that can help us relieve this tension. The key here, I propose, is to focus our attention on animal nature, conceived as partially re-enchanted. To see how nature, so conceived, helps us relieve the tension in question, it is crucial to gain a firm and detailed appreciation of how the primitive-instinctive, a (...) central part of animal nature, actually serves the conceptual. I offer such an appreciation by closely examining §244 of the Philosophical Investigations and Peter Winch's discussion of it. The general aim is to bring out a certain kind of Wittgensteinian “naturalism”, a “naturalism” that is fully alive to the rootedness of conceptuality in nature. A concomitant aim is to illustrate the truth of Wittgenstein's saying that in philosophy one often has to pay close attention to details. (shrink)

Among Wittgenstein’s thought experiments, the wood-sellers is one of the most controversial. According to an absolutist interpretation, they are meant to show that we cannot transcend our concepts,...