Huygens' Center-of-Mass Space-Time Reference Frame: Constructing a Cartesian Dynamics in The Wake of Newton's “De gravitatione” Argument

This paper explores the possibility of constructing a Cartesian space-time that can resolve the dilemma posed by a famous argument from Newton's early essay, De gravitatione. In particular, Huygens' concept of a center-of-mass reference frame is utilized in an attempt to reconcile Descartes' relationalist theory of space and motion with both the Cartesian analysis of bodily impact and conservation law for quantity of motion. After presenting a modern formulation of a Cartesian space-time employing Huygens' frames, a series of Newtonian counter-replies are developed in order to estimate the viability of this relationalist project.     

Toward a new outlook on primate learning and behavior: complex learning and emergent processes in comparative perspective

Primate research of the 20th century has established the validity of Darwin's postulation of psychological as well as biological continuity between humans and other primates, notably the great apes. Its data make clear that Descartes' view of animals as unfeeling "beast-machines" is invalid and should be discarded. Traditional behavioristic frameworks--that emphasize the concepts of stimulus, response, and reinforcement and an "empty-organism" psychology--are in need of major revisions. Revised frameworks should incorporate the fact that, in contrast to the lifeless databases of the "hard" sciences, the database of psychology entails properties novel to life and its attendant phenomena. The contributions of research this century, achieved by field and laboratory researchers from around the world, have been substantial--indeed revolutionary. It is time to celebrate the progress of our field, to anticipate its significance, and to emphasize conservation of primates in their natural habitats.     

Descartes: God as the Idea of Infinity

Abstract:  This article returns to Descartes' texts and correspondence and looks to recent scholarship to reveal three key elements of Descartes' distinctive epistemological structure. It shows that because objectors ignore Descartes' opposition to the 'order of being' they are led to a binary and incorrect reading of his argument. However, by correctly following Descartes' own logic, the method of doubt can be used to prove the existence of an infinite God.     

THE MYTH OF CARTESIAN QUALIA

Abstract:  The standard view of Cartesian sensations (SV) is that they present themselves as purely qualitative features of experience (or qualia). Accordingly, Descartes' view would be that in perceiving the color red, for example, we are merely experiencing the subjective feel of redness rather than seeming to perceive a property of bodies. In this paper, I establish that the argument and textual evidence offered in support of SV fail to prove that Descartes held this view. Indeed, I will argue that there are textual and theoretical reasons for believing that Descartes held the negation of SV. Qualia aren't Descartes' legacy.     

Descartes and the tree of knowledge

Descartes' image of the tree of knowledge from the preface to the French edition of the Principles of Philosophy is usually taken to represent Descartes' break with the past and with the fragmentation of knowledge of the schools. But if Descartes' tree of knowledge is analyzed in its proper context, another interpretation emerges. A series of contrasts with other classifications of knowledge from the seventeenth and eighteenth centuries raises some puzzles: claims of originality and radical break from the past do not seem warranted. Further contrasts with Descartes' unpublished writings and with school doctrines lead to the ironic conclusion that, in the famous passage, Descartes is attempting to appeal to conventional wisdom and trying to avoid sounding novel.     

A developmental comparison of identity and equivalence conservations

The developmental priority of identity conservation as contrasted with equivalence conservation theorized by Elkind (1967) was investigated using quantity and number conservation tasks. Subjects were 60 four-, five-, and six-year-old children of middle socioeconomic class background. All children received a battery of tasks which included qualitative identity, quantitative identity, and equivalence conservation of quantity and number problems. For the quantity battery, under the without justification condition, conditional probabilities and significant performance differences in the mean number of trials passed indicated that the order of acquisition of quantity tasks did conform to the hypothesized sequence: qualitative identity, quantitative identity, and equivalence conservation. No significant performance differences for number concepts were noted for both justification and without justification conditions. Scalogram analyses performed upon the combined quantity number task array indicated a scale or quasi-scale in the predicted order of difficulty. It was concluded that identity concepts develop prior to equivalence concepts when the content area is quantity conservation. In contrast, clear-cut conclusions cannot be made about number conservation.     

Subjectivity in Descartes and Kant

Kant's response to Cartesian scepticism is often characterized in the following way. Whereas Descartes drives a wedge between subjective experience and objective reality, Kant argues that there could be no such thing as experience at all if reality were not itself structured in just the way our thought about it is structured. This picture of Kant's response to Descartes portrays him as succeeding, where Descartes fails, in arguing directly from the nature of experience to the nature of reality; as subscribing, therefore, to Descartes' view that one is immediately aware only of one's own mental states, but as seeing a way out of the subjective predicament. I maintain that this picture is deeply flawed. Kant's transcendental argument is in fact a thoroughgoing critique of Descartes' subjectivism, and destroys the Cartesian barrier to recognizing that our awareness of reality is unmediated and direct.     

Descartes on the Dubitability of the Existence of Self

In a number a passages Descartes appears to insist that "I am, I exist" and its variants are wholly indubitable. These passages present an intractable problem of interpretation in the face of passages in which Descartes allows that any result is dubitable, "I am, I exist" included. Here I pull together a number of elements of Descartes' system to show how all of these passages hang together. If my analysis is correct, it tells us something about the perspective that Descartes himself thinks we should take in reading the Meditations.     

Social Epistemology,scientific practice and the elusive social

Social Epistemology, as formulated by Steve Fuller, is based on the suggestion that rational knowledge policy must be held accountable to brute facts about the nature of our human cognitive pursuits, whatever these may be. One difficulty for Fuller concerns the conception of the social which underwrites social epistemology. I argue that social epistemology conflates the social with human psychological properties that are available for public scrutiny and, accordingly, that social epistemology is best viewed as a brand of psychologism. Though Fuller's proposal signifies an important step in the ongoing attempt by scholars to eradicate the last traces of Descartes' epistemological device of a disembodiedres cogitans, I conclude that his conception of the social is too weak to serve as the basis for a socially-embedded discipline in anything but name only.     

Awakening from Descartes' nightmare: On the love of ambiguity in phenomenological approaches to education

This paper is an exploration of the Cartesian paradigms of clarity and univocity and how these inform contemporary educational theory and practice. Phenomenology is discussed as a way of disrupting Descartes' visions of clarity and distinctness as paradigms of knowledge and as a return of inquiry to life as it is actually lived. Analogical discourse is examined as a way of giving a voice to this sort of inquiry. Heidegger's notions of inquiry as obedience and thanksgiving are discussed.     

Descartes and some predecessors on the divine conservation of motion

Here I reexamine Duhem's question of the continuity between medieval dynamics and early modern conservation theories. I concentrate on the heavens. For Aristotle, the motions of the heavens are eternally constant (and thus mathematizable) because an eternally constant divine Reason is their mover. Duhem thought that impetus and conservation theories, by extending sublunar mechanics to the heavens, made a divine renewer of motion redundant. By contrast, I show how Descartes derives his law of conservation by extending Aristotelian celestial dynamics to the earth. Descartes argues that motion is intrinsically linear, not circular. But he agrees that motion is mathematically intelligible only where divine Reason moves bodies in a constant and eternal motion. Descartes strips bodies of active powers, leaving God as the only natural mover; thus both celestial and sublunar motions are constant, and uniformly mathematizable. The law of conservation of the total quantity of motion is an attempt to harmonize the constancy derived a priori with the phenomenal inconstancy of sublunar motions.I would like to thank Daniel Garber, Alison Laywine, and Ian Mueller for their comments. Since I have not seen a text of Professor Westman's remarks, either before or after he delivered them, I cannot respond to his criticisms.     

The logical and empirical bases of conservation judgements

It is argued that conservation judgements are based on a particular combination of logical necessity and empirical belief. The empirical belief is that a given transformation will not alter a particular quantity (Elkind's conservation of identity). The logical aspect is a transitive deductive argument containing an initial equivalence of two quantities and the conservation of identity belief as premises which lead to the conclusion of maintained equivalence (Elkind's conservation of equivalence). In two experiments, it is shown that conservation of identity beliefs can be manipulated in subjects who have long since developed the capacity for transitive deductive inference. Untrained 10 year olds were unaware of how sublimation acts to alter certain quantities over particular transformations of shape. And untrained adults incorrectly believed that both the area and perimeter of a closed figure would be conserved over transformations which elongated the figure. Both groups of subjects could be trained in the correct conservation of identity beliefs and this affected their conservation of equivalence judgements in predicted ways. It is suggested that the locical aspect of conservation is developmentally stable and that the empirical aspect varies widely across problems and individuals because of its dependence on relevant experience.     

Left-Hemisphere Dominance for Motion Processing in Deaf Signers

Evidence from neurophysiological studies in animals as well as humans has demonstrated robust changes in neural organization and function following early-onset sensory deprivation. Unfortunately, the perceptual consequences of these changes remain largely unexplored. The study of deaf individuals who have been auditorily deprived since birth and who rely on a visual language (i.e., American Sign Language, ASL) for communication affords a unique opportunity to investigate the degree to which perception in the remaining, intact senses (e.g., vision) is modified as a result of altered sensory and language experience. We studied visual motion perception in deaf individuals and compared their performance with that of hearing subjects. Thresholds and reaction times were obtained for a motion discrimination task, in both central and peripheral vision. Although deaf and hearing subjects had comparable absolute scores on this task, a robust and intriguing difference was found regarding relative performance for left-visual-field (LVF) versus right-visual-field (RVF) stimuli: Whereas hearing subjects exhibited a slight LVF advantage, the deaf exhibited a strong RVF advantage. Thus, for deaf subjects, the left hemisphere may be specialized for motion processing. These results suggest that perceptual processes required for the acquisition and comprehension of language (motion processing, in the case of ASL) are recruited (or "captured") by the left, language-dominant hemisphere.     

Conservation acquisition, maintenance, and generalization by mentally retarded children using equality-rule training.

To teach conservation to mildly retarded, preoperational preadolescents (9 to 12 years old), a number-representational system was used to mediate the invariance of quantity as part of "equality-rule" training. Before viewing a perceptually misleading configuration of either two equal quantities or two unequal quantities entailing the dimensions of number or length, participants learned that equality involved the assignment of two identical numbers and inequality the assignment of two different numbers. These numbers were then applied to the actual quantities and became the basis for rule statements that were rehearsed, memorized, and subject-generated each time the quantities were transformed into a new configuration. Following equality training, correct judgments and verbal justifications of conservation were high (M greater than or equal to 85%) during both immediate and delayed post-tests and for near-generalization (number and length) and far-generalization (weight, liquid substance, and solid substance) tasks. In contrast, the post-test levels of comparable participants given learning-set (LS) training, LS plus verbal-rule training (a combination of statements about identity, negation, and compensation), or no training at all were substantially and significantly lower. Equality training is of theoretical and practical interest because of its potential to teach a symbolic representational rule that directly and meaningfully articulates the quantitative properties of objects and counteracts the overreliance on task-specific and faulty perceptual cues inherent in the conservation task.     

Apparent motion: evidence of the influence of shape, slant, and size on the correspondence process

Four stimulus elements configured as a notional diamond were flashed in pairs to elicit apparent motion. When the elements were identical (4 Zs), the direction of apparent motion was ambiguous. When the elements were pairs of different letters (Cs and Os, Es and Zs), letters of different sizes (Zs and zs), or oppositely oblique lines, the direction of apparent motion tended to be between identical elements. This was true, however, only for an initial, brief observation period. Subsequently, the direction of apparent motion tended to be determined by the direction of motion perceived at first, regardless of the character of the elements. This quickly established directional set (within 10 sec) largely swamped any tendency to resolve correspondence in terms of a feature of the stimulus. It appears to be based on spatial rather than retinal or egocentric coordinates.     

Newton’s Conceptual Argument for Absolute Space

While many take Newton’s argument for absolute space to be an inference to the best explanation, some argue that Newton is primarily concerned with the proper definition of true motion, rather than with independent existence of spatial points. To an extent the latter interpretation is correct. However, all prior interpretations are mistaken in thinking that ‘absolute motion’ is defined as motion with respect to absolute space. Newton is also using this notion to refer to the quantity of motion (momentum). This reading reveals a misunderstood argument for absolute space, according to which absolute space is necessary for a workable definition of momentum.     

Self and Self-Consciousness: Aristotelian Ontology and Cartesian Duality

The relationship between self-consciousness, Aristotelian ontology, and Cartesian duality is far closer than it has been thought to be. There is no valid inference either from considerations of Aristotle's hylomorphism or from the phenomenological distinction between body and living body, to the undermining of Cartesian dualism. Descartes' conception of the self as both a reasoning and willing being informs his conception of personhood; a person for Descartes is an unanalysable, integrated, self-conscious and autonomous human being. The claims that Descartes introspectively encounters the self and that the Cartesian extent of inner space is self-contained are profound errors, distortions through the lenses of modern theories.     

Two studies of Piaget's theory of moral judgment

The relationship between conservation skills and subjective responsibility (SR) in moral judgment was examined in two studies. The Kohlberg ontogenetic priority hypothesis stating that conversation is a necessary but not sufficient condition of SR was pitted against the common structural basis hypothesis advanced by Damon. Piaget's notion of heteronomy as a combination of preoperational thought and unilateral respect was studied by using the behavioural independence tasks by Subbotsky as indicators of unilateral respect. A teaching experiment using Galperin's and Obukhova's method to induce conservation indicated significant transfer from conservation to SR. SR was found to be more susceptible to regression over a 3–month period than conservation. Conservers were less likely to regress on SR than nonconservers. Unilateral respect was related to objective responsibility but not to conservation. Taken together the data fail to support Kohlberg's ontogenetic priority hypothesis and only partially support the Piaget and Damon model of a common underlying structure. It is concluded that SR judgments largely reflect individual judgmental strategies and the effect of conservation on SR is intepreted in terms of increasing cross-situational consistency in the use of these strategies.     

Judgments of quantity and conservation of quantity: the area of a rectangle

This study examines the relationships between perceptive judgment of quantity and conservation judgment of quantity with regard to the concept of area. Twenty children who passed an area conservation task (mean age = 8) and 20 children who failed it (mean age = 6, 7) were administered an area judgment task. This task was a replication of Anderson and Cuneo's study (1978, Journal of Experimental Psychology: General, 107, 335-378). The conserving children generally appeared to apply an additive rule (the height and width rule) observed by Anderson and Cuneo in 5 year olds. The nonconserving children in contrast generally presented patterns suggesting centration on one of the two dimensions. The implications for Anderson's and Piaget's conceptions of conservation development are discussed.