Thinking Without Words provides a challenging new theory of the nature of non-linguistic thought. Jose Luis Bermudez offers a conceptual framework for treating human infants and non-human animals as genuine thinkers. The book is written with an interdisciplinary readership in mind and will appeal to philosophers, psychologists, and students of animal behavior.

Visual thinking -- visual imagination or perception of diagrams and symbol arrays, and mental operations on them -- is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in (...) mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking. (shrink)

Through the use of such "folk" concepts as belief, desire, intention, and expectation, Daniel Dennett asserts in this first full scale presentation of...

SummaryNeither an infant one week old nor a snail is a rational creature. If the infant survives long enough, he will probably become rational, while this is not true of the snail. If we like, we may say of the infant from the start that he is a rational creature because he will probably become rational if he survives, or because he belongs to a species with this capacity. Whichever way we talk, there remains the difference, with respect to rationality, (...) between the infant and the snail on one hand, and the normal adult person on the other; this difference is discussed here.The difference consists, it is argued, in the having of propositional attitudes such as belief, desire, intention and shame. This raises the question how to tell when a creature has propositional attitudes; snails, we may agree, do not, but how about dogs or chimpanzees? The question is not empirical; the question is what sort of empirical evidence is relevant to deciding when a creature has propositional attitudes.It is next contended that language is a necessary concomitant of any of the propositional attitudes. This idea is not new, but there seem to be few arguments in its favor in the literature; one is attempted here.Crucial to the considerations advanced is the idea that belief depends on having the concept of objective truth, and that this comes only with language.RéuméNi un bébé d'une semaine, ni un serpent ne sont des créatures rationnelles. Si le bébé survit assez longtemps, il deviendra probablement rationnel, mais ce n'est pas vrai pour le serpent. Sil'on veut, on peut dire d'emblee du bébé qu'il est une créature rationnelle parce qu'il le deviendra s'il survit ou parce qu'il appartient à une espèce qui possède cette faculté. Quoi qu'on dise, la différence subsiste, en ce qui concerné la rationalité, entre le bébé et le serpent d'une part, la per‐sonne adulte normale de lcar;autre, et c'est cette différence qui sera discutée ici.La différence consiste, selon l'auteur, en une capacityé d'avoir des attitudes propositionnelles telles que la croyance, le désir, l'intention et la honte. Ceci pose la question de savoir quand on peut dire qu'une créature a des attitudes propositionnelles; on peut se mettre d'accord sur le fait que les serpents n'en ont pas, mais qu'en est‐il des chiens et des chimpanzés? La question n'est pas empirique, elle est de savoir quelle donnée empirique va décider si oui ou non une créature a des attitudes propositionnelles.L'auteur prétend que les attitudes propositionnelles s'accompagnent nécessairement du langage. Cette idèe n'est pas nouvelle, mais il semble qu'il y a peu d'arguments qui la soutiennent dans la littérature. On en trouvera un ici, où l'on montre qu'un élément crucial de a croyance dépend de l'acquisition du concept de vérité objective, qui ne se développe qu'avec le langage.ZusammenfassungWeder ein eine Woche altes Kind noch eine Schlange sind rationale Wesen. Wenn das Kind lange genug überlebt, wird es sich wahrscheinlich zu einem vernünftigen Wesen entwickeln, wäh‐rend das für die Schlange nicht zutrifft. Wenn wir wollen, können wir vom Kind sagen, dass es von Anfang an cin rationales Wesen ist, weil es im Fallc des Ubcrlebens vernünftig werden wird oder weil es zu einer Spezies mit dieser Fähigkeit gehört. Wie auch immer wir das ausdrücken, bleibt bezüglich der Rationalität der Unterschied zwischen dem Kind und der Schlange einerseits und der erwachsenen Person andererseits zurück. Dieser Unterschied wird hier diskutiert.Es wird argumentiert, dass der Unterschied in der Fähigkeit besteht, psychologische Haltun‐gen wie Glauben, Begierden, Absichten und Scham zu haben. Damit erhebt sich die Frage, wie man entscheiden kann, wann ein Wesen solchc Einstellungcn hat; Schlangen, wird man zugeben, haben keine; wie steht es aber mit Hunden Oder Schimpansen? Die Frage ist keine empirische, sondern betrifft die Frage, welche Art von empirischen Belegen für den Entscheid relevant ist, ob ein Wesen derartige Einstellungen hat.Es wird die These aufgestellt, dass Sprachen ein notwendiger Begleitumstand einer jeglichen propositionalen Haltung ist. Der Gedanke ist zwar nicht neu, aber es finden sich wenige Argu‐mente zu seiner Stützung in der Literatur; eines wird hier ausgeführt.Entscheidend für die vorgelegten Betrachtungen ist die Auffassung, wonach Glaube vom Begriff der objektiven Wahrheit abhängt, und dieser kommt erst mit der Sprache. (shrink)

SummaryNeither an infant one week old nor a snail is a rational creature. If the infant survives long enough, he will probably become rational, while this is not true of the snail. If we like, we may say of the infant from the start that he is a rational creature because he will probably become rational if he survives, or because he belongs to a species with this capacity. Whichever way we talk, there remains the difference, with respect to rationality, (...) between the infant and the snail on one hand, and the normal adult person on the other; this difference is discussed here.The difference consists, it is argued, in the having of propositional attitudes such as belief, desire, intention and shame. This raises the question how to tell when a creature has propositional attitudes; snails, we may agree, do not, but how about dogs or chimpanzees? The question is not empirical; the question is what sort of empirical evidence is relevant to deciding when a creature has propositional attitudes.It is next contended that language is a necessary concomitant of any of the propositional attitudes. This idea is not new, but there seem to be few arguments in its favor in the literature; one is attempted here.Crucial to the considerations advanced is the idea that belief depends on having the concept of objective truth, and that this comes only with language.RéuméNi un bébé d'une semaine, ni un serpent ne sont des créatures rationnelles. Si le bébé survit assez longtemps, il deviendra probablement rationnel, mais ce n'est pas vrai pour le serpent. Sil'on veut, on peut dire d'emblee du bébé qu'il est une créature rationnelle parce qu'il le deviendra s'il survit ou parce qu'il appartient à une espèce qui possède cette faculté. Quoi qu'on dise, la différence subsiste, en ce qui concerné la rationalité, entre le bébé et le serpent d'une part, la per‐sonne adulte normale de lcar;autre, et c'est cette différence qui sera discutée ici.La différence consiste, selon l'auteur, en une capacityé d'avoir des attitudes propositionnelles telles que la croyance, le désir, l'intention et la honte. Ceci pose la question de savoir quand on peut dire qu'une créature a des attitudes propositionnelles; on peut se mettre d'accord sur le fait que les serpents n'en ont pas, mais qu'en est‐il des chiens et des chimpanzés? La question n'est pas empirique, elle est de savoir quelle donnée empirique va décider si oui ou non une créature a des attitudes propositionnelles.L'auteur prétend que les attitudes propositionnelles s'accompagnent nécessairement du langage. Cette idèe n'est pas nouvelle, mais il semble qu'il y a peu d'arguments qui la soutiennent dans la littérature. On en trouvera un ici, où l'on montre qu'un élément crucial de a croyance dépend de l'acquisition du concept de vérité objective, qui ne se développe qu'avec le langage.ZusammenfassungWeder ein eine Woche altes Kind noch eine Schlange sind rationale Wesen. Wenn das Kind lange genug überlebt, wird es sich wahrscheinlich zu einem vernünftigen Wesen entwickeln, wäh‐rend das für die Schlange nicht zutrifft. Wenn wir wollen, können wir vom Kind sagen, dass es von Anfang an cin rationales Wesen ist, weil es im Fallc des Ubcrlebens vernünftig werden wird oder weil es zu einer Spezies mit dieser Fähigkeit gehört. Wie auch immer wir das ausdrücken, bleibt bezüglich der Rationalität der Unterschied zwischen dem Kind und der Schlange einerseits und der erwachsenen Person andererseits zurück. Dieser Unterschied wird hier diskutiert.Es wird argumentiert, dass der Unterschied in der Fähigkeit besteht, psychologische Haltun‐gen wie Glauben, Begierden, Absichten und Scham zu haben. Damit erhebt sich die Frage, wie man entscheiden kann, wann ein Wesen solchc Einstellungcn hat; Schlangen, wird man zugeben, haben keine; wie steht es aber mit Hunden Oder Schimpansen? Die Frage ist keine empirische, sondern betrifft die Frage, welche Art von empirischen Belegen für den Entscheid relevant ist, ob ein Wesen derartige Einstellungen hat.Es wird die These aufgestellt, dass Sprachen ein notwendiger Begleitumstand einer jeglichen propositionalen Haltung ist. Der Gedanke ist zwar nicht neu, aber es finden sich wenige Argu‐mente zu seiner Stützung in der Literatur; eines wird hier ausgeführt.Entscheidend für die vorgelegten Betrachtungen ist die Auffassung, wonach Glaube vom Begriff der objektiven Wahrheit abhängt, und dieser kommt erst mit der Sprache. (shrink)

Equality1 gives rise to challenging questions which are not altogether easy to answer. Is it a relation? A relation between objects, or between names or signs of objects? In my Begriffsschrift I assumed the latter. The reasons which seem to favour this are the following: a = a and a = b are obviously statements of differing cognitive value; a = a holds a priori and, according to Kant, is to be labeled analytic, while statements of the form a = (...) b often contain very valuable extensions of our knowledge and cannot always be established a priori. The discovery that the rising sun is not new every morning, but always the same, was one of the most fertile astronomical discoveries. Even to-day the identification of a small planet or a comet is not always a matter of course. Now if we were to regard equality as a relation between that which the names ‘a’ and ‘b’ designate, it would seem that a = b could not differ from a = a (i.e. provided a = b is true). A relation would thereby be expressed of a thing to itself, and indeed one in which each thing stands to itself but to no other thing. What is intended to be said by a = b seems to be that the signs or names ‘a’ and ‘b’ designate the same thing, so that those signs themselves would be under discussion; a relation between them would be asserted. But this relation would hold between the names or signs only in so far as they named or designated something. It would be mediated by the connexion of each of the two signs with the same designated thing. But this is arbitrary. Nobody can be forbidden to use any arbitrarily producible event or object as a sign for something. In that case the sentence a = b would no longer refer to the subject matter, but only to its mode of designation; we would express no proper knowledge by its means. But in many cases this is just what we want to do. If the sign ‘a’ is distinguished from the sign ‘b’ only as object (here, by means of its shape), not as sign (i.e. not by the manner in which it designates something), the cognitive value of a = a becomes essentially equal to that of a = b, provided a = b is true.. (shrink)

In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...

In 1995, in my book, Ten Problems of Consciousness, I proposed a version of the theory of phenomenal consciousness now known as representationalism. The present book, in part, consists of a further development of that theory along with replies to common objections. It is also concerned with two prominent challenges for any reductive theory of consciousness: the explanatory gap and the knowledge argument. In addition, it connects representationalism with two more general issues: the nature of color and the location of (...) the phylogenetic dividing line between those creatures that are phenomenally conscious and those that are not. (shrink)

Stephen Schiffer presents a groundbreaking account of meaning and belief, and shows how it can illuminate a range of crucial problems regarding language, mind, knowledge, and ontology. He introduces the new doctrine of 'pleonastic propositions' to explain what the things we mean and believe are. He discusses the relation between semantic and psychological facts, on the one hand, and physical facts, on the other; vagueness and indeterminacy; moral truth; conditionals; and the role of propositional content in information acquisition and explanation. (...) This radical new treatment of meaning will command the attention of everyone who works on fundamental questions about language, and will attract much interest from other areas of philosophy. (shrink)

In The Things We Mean I argue that there exist such things as the things we mean and believe, and that they are what I call pleonastic propositions. The first two chapters offer an initial motivation and articulation of the theory of pleonastic propositions, and of pleonastic entities generally. The remaining six chapters bring that theory to bear on issues in the theory of content: the existence and nature of meanings; knowledge of meaning; the meaning relation and compositional semantics; the (...) relation between content-involving facts and underlying physical facts; vagueness and indeterminacy; conditionals; normative discourse; and the role of propositional content in explanation, prediction, and knowledge acquisition. (shrink)

Divided into two parts, the first concentrates on the logical properties of propositions, their relation to facts and sentences, and the parallel objects of commands and questions. The second part examines theories of intentionality and discusses the relationship between different theories of naming and different accounts of belief.

An individual has a theory of mind if he imputes mental states to himself and others. A system of inferences of this kind is properly viewed as a theory because such states are not directly observable, and the system can be used to make predictions about the behavior of others. As to the mental states the chimpanzee may infer, consider those inferred by our own species, for example, purpose or intention, as well as knowledge, belief, thinking, doubt, guessing, pretending, liking, (...) and so forth. To determine whether or not the chimpanzee infers states of this kind, we showed an adult chimpanzee a series of videotaped scenes of a human actor struggling with a variety of problems. Some problems were simple, involving inaccessible food as in the original Kohler problems; others were more complex, involving an actor unable to extricate himself from a locked cage, shivering because of a malfunctioning heater, or unable to play a phonograph because it was unplugged. With each videotape the chimpanzee was given several photographs, one a solution to the problem, such as a stick for the inaccessible bananas, a key for the locked up actor, a lit wick for the malfunctioning heater. The chimpanzee's consistent choice of the correct photographs can be understood by assuming that the animal recognized the videotape as representing a problem, understood the actor's purpose, and chose alternatives compatible with that purpose. (shrink)

In previous work I urged that the perceptual experience we rational animals enjoy is informed by capacities that belong to our rationality, and - in passing - that something similar holds for our intentional action. In his Presidential Address, Hubert Dreyfus argued that I thereby embraced a myth, "the Myth of the Mental". According to Dreyfus, I cannot accommodate the phenomenology of unreflective bodily coping, and its importance as a background for the conceptual capacities exercised in reflective intellectual activity. My (...) paper responds to this accusation. Dreyfus misreads my invocation of Aristotle, and is thereby led to suppose, wrongly, that I conceive rationality as detached, brought to bear on practical predicaments from a standpoint other than one of immersion in them. I urge that even unreflective bodily coping, on the part of rational animals, is informed by their rationality. Dreyfus mentions Heidegger's distinction, which is picked up by Gadamer, between being oriented towards the world and merely inhabiting an environment. But he sets it aside, whereas it is crucial for the issue between us. Engaged bodily coping involves responsiveness to affordances, and responsiveness to affordances on the part of rational animals belongs to their relation to the world. I explain how the idea that conceptual capacities are actualized in our perceptual experience is connected with the thought that our perceptual experience opens us to the world. Finally, I suggest that the real myth in this area is the conception of rationality underlying Dreyfus's resistance to my picture. (shrink)

How do rational minds make contact with the world? The empiricist tradition sees a gap between mind and world, and takes sensory experience, fallible as it is, to provide our only bridge across that gap. In its crudest form, for example, the traditional idea is that our minds consult an inner realm of sensory experience, which provides us with evidence about the nature of external reality. Notoriously, however, it turns out to be far from clear that there is any viable (...) conception of experience which allows it to do the job. The original problem is to show that thought is rationally constrained by external reality. If sensory experience is to provide the solution--in particular, if it is to provide the answer to sceptical challenges--it must therefore meet two criteria. First, it must itself be `receptive'--i.e., appropriately constrained by external reality. Second, it must be the kind of thing that can enter into a logical or rational relationship with belief--it must already be `conceptual,' in other words. In arguing against the idea that anything could serve both roles, Wilfred Sellars termed this conception of experience "the Myth of the Given.". (shrink)

Since the BBS article in which Premack and Woodruff (1978) asked “Does the chimpanzee have a theory of mind?,” it has been repeatedly claimed that there is observational and experimental evidence that apes have mental state concepts, such as “want” and “know.” Unlike research on the development of theory of mind in childhood, however, no substantial progress has been made through this work with nonhuman primates. A survey of empirical studies of imitation, self-recognition, social relationships, deception, role-taking, and perspective-taking suggests (...) that in every case where nonhuman primate behavior has been interpreted as a sign of theory of mind, it could instead have occurred by chance or as a product of nonmentalistic processes such as associative learning or inferences based on nonmental categories. Arguments to the effect that, in spite of this, the theory of mind hypothesis should be accepted because it is more parsimonious than alternatives or because it is supported by convergent evidence are not compelling. Such arguments are based on unsupportable assumptions about the role of parsimony in science and either ignore the requirement that convergent evidence proceed from independent assumptions, or fail to show that it supports the theory of mind hypothesis over nonmentalist alternatives. Progress in research on theory of mind requires experimental procedures that can distinguish the theory of mind hypothesis from nonmentalist alternatives. A procedure that may have this potential is proposed. It uses conditional discrimination training and transfer tests to determine whether chimpanzees have the concept “see.” Commentators are invited to identify flaws in the procedure and to suggest alternatives. Key Words: apes; associative learning; concepts; convergence; deception; evolution of intelligence; folk psychology; imitation; mental state attribution; monkeys; parsimony; perspective-taking; primates; role-taking; self-recognition; social cognition; social intelligence; theory of mind. (shrink)

Marcus Giaquinto presents an investigation into the different kinds of visual thinking involved in mathematical thought, drawing on work in cognitive psychology, philosophy, and mathematics. He argues that mental images and physical diagrams are rarely just superfluous aids: they are often a means of discovery, understanding, and even proof.

Our visual experience seems to suggest that no continuous curve can cover every point of the unit square, yet in the late 19th century Giuseppe Peano proved that such a curve exists. Examples like this, particularly in analysis received much attention in the 19th century. They helped to instigate what Hans Hahn called a ‘crisis of intuition’, wherein visual reasoning in mathematics came to be thought to be epistemically problematic. Hahn described this ‘crisis’ as follows : " Mathematicians had for (...) a long time made use of supposedly geometric evidence as a means of proof in much too naive and much too uncritical a way, till the unclarities and mistakes that arose as a result forced a turnabout. Geometrical intuition was now declared to be inadmissible as a means of proof … "Avoiding geometrical evidence, Hahn continued, mathematicians aware of this crisis pursued what he called ‘logicization’, ‘when the discipline requires nothing but purely logical fundamental concepts and propositions for its development’. On this view, an epistemically ideal mathematics would minimize, or avoid altogether, appeals …. (shrink)

But do animals know that other creatures have minds? And how would we know if they do? In "Mindreading Animals," Robert Lurz offers a fresh approach to the hotly debated question of mental-state attribution in nonhuman animals.

A further development of Tye's theory of phenomenal consciousness along with replies to common objections.

What is the connection between thought and language? The dependence of speaking on thinking is evident, for to speak is to express thoughts. This dependence is manifest in endless further ways. Someone who utters the sentence “The candle is out” as a sentence of English must intend to utter words that are true if and only if an indicated candle is out at the time of utterance, and he must believe that by making the sounds he does he is uttering (...) words that are true only under those circumstances. These intentions and beliefs are not apt to be dwelt on by the fluent speaker. But though they may not normally command attention, their absence would be enough to show he was not speaking English, and the absence of any analogous thoughts would show he was not speaking at all. (shrink)