The Triadic Roots of Human Cognition: "Mind" Is the Ability to go Beyond Dyadic Associations.

Empirical evidence is reviewed indicating that the extraordinary aspects of the human mind are due to our species' ability to go beyond simple "dyadic associations" and to process the relations among three items of information simultaneously. Classic explanations of the "triadic" nature of human skills have been advocated by various scholars in the context of the evolution of human cognition. Here I summarize the core processes as found in (i) the syntax of language, (ii) tool-usage, and (iii) joint attention. I then review the triadic foundations of two perceptual phenomena of great importance in human aesthetics: (iv) harmony perception and (v) pictorial depth perception. In all five subfields of human psychology, most previous work has emphasized the recursive, hierarchical complexity of such "higher cognition," but a strongly reductionist approach indicates that the core mechanisms are triadic. It is concluded that the cognitive skills traditionally considered to be "uniquely" human require three-way associational processing that most non-Primate animal species find difficult or impossible, but all members of Homo sapiens - regardless of small cultural differences - find easy and inherently intriguing.

Calculation of the acoustical properties of triadic harmonies.

The author reports that the harmonic "tension" and major/minor "valence" of pitch combinations can be calculated directly from acoustical properties without relying on concepts from traditional harmony theory. The capability to compute the well-known types of harmonic triads means that their perception is not simply a consequence of learning an arbitrary cultural "idiom" handed down from the Italian Renaissance. On the contrary, for typical listeners familiar with diatonic music, attention to certain, definable, acoustical features underlies the perception of the valence (modality) and the inherent tension (instability) of three-tone harmonies.

From membrane excitability to metazoan psychology.

Unlike the nonexcitable cell membranes that are ubiquitous in all domains of life, excitable membranes are found almost exclusively in animal organisms (Protozoa and Metazoa). Their transient permeability to ion flow makes possible the rapid detection of, and response to, external stimuli, and results in the phenomena that most clearly distinguish fauna from flora: perception, cognition, and motor activity. Interestingly, all known forms of membrane excitability are a consequence of one unique mechanism: the influx of positively charged ions into the normally alkaline cytoplasm. Here, we suggest that the sudden reversal of the membrane potential during the sensory potential and the action potential is an electrostatic disturbance of homeostasis that is the necessary first step in the processes of 'sentience' and 'irritability'.

The perception of harmonic triads: an fMRI study.

We have undertaken an fMRI study of harmony perception in order to determine the relationship between the diatonic triads of Western harmony and brain activation. Subjects were 12 right-handed, male non-musicians. All stimuli consisted of two harmonic triads that did not contain dissonant intervals of 1 or 2 semitones, but differed between them by 0, ±1, ±2 or ±3 semitones and therefore differed in terms of their inherent stability (major and minor chords) or instability (diminished and augmented chords). These musical stimuli were chosen on the basis of a psychoacoustical model of triadic harmony that has previously been shown to explain the fundamental regularities of traditional harmony theory. The brain response to the chords could be distinguished within the right orbitofrontal cortex and cuneus/posterior cingulate gyrus. Moreover, the strongest hemodynamic responses were found for conditions of rising pitch leading from harmonic tension to modal resolution.

Factors contributing to depth perception: behavioral studies on the reverse perspective illusion.

In three behavioral experiments using depth-inverted visual stimuli, the factors that contribute to the 'reverse perspective' illusion were measured. The density of linear perspective grid lines was found to induce the illusion most strongly, followed by shading/shadows, and texture/color information. The relative contributions of such pictorial cues to depth perception are similar to those that facilitate the normal perception of 3D space in 2D paintings.

An fMRI study of the reverse perspective illusion.

"Reverse perspective" is a powerful visual illusion similar to the hollow mask illusion, but more interesting in producing the perception of an illusory motion in a stationary picture. It is caused by conflict between motion parallax and pictorial depth cues in 3D "relief" paintings built with depth inversion. Here we report the measurement of brain activation using fMRI in response to a reverse perspective (RP) object, as well as a normal perspective, 3D-relief object ("shadow-box", SB) and a 2D painting of the same architectural scene. The stimuli were presented to 10 subjects in static and rotating conditions, subtraction of which revealed strong activation of area MT in all three cases. Contrasts between the RP, SB and 2D conditions showed the strongest activation for RP and almost no difference between SB and 2D. The similarity of brain activation between SB and 2D stimuli was interpreted as indicating that observers perceive the illusion of realistic 3D depth in 2D pictures as entirely normal and not qualitatively different from the 3D structure of the shadow-box stimulus. Contrasts between the RP stimulus and either the SB or the 2D stimulus revealed activation of Brodmann Areas 7, 19 and MT (and cerebellar cortex), suggesting the usage of brain regions involved in mental rotation and depth perception in response to the reverse perspective illusion.

Effects of visual-field inversions on the reverse-perspective illusion.

The 'reverse-perspective' illusion entails the apparent motion of a stationary scene painted in relief and containing misleading depth cues. We have found that, using prism goggles to induce horizontal or vertical visual-field reversals, the illusory motion is greatly reduced or eliminated in the direction for which the goggles reverse the visual field. We argue that the illusion is a consequence of the observer's inability to reconcile changes in visual information due to body movement with implicit knowledge concerning anticipated changes. As such, the reverse-perspective illusion may prove to be useful in the study of the integration of linear perspective and motion parallax information.