Symmetry enters the depth-psychology corpus principally through McGilchrist's sustained neurological and cosmological argument, where the term is carefully distinguished from its popular usage and pressed into service as a diagnostic for hemispheric pathology and ontological sterility. For McGilchrist, symmetry in its full mathematical sense — any operation that leaves a system unchanged — aligns with the left hemisphere's preference for stasis, universality, and closed form. This alignment is not merely aesthetic: schizophrenic subjects exhibit compulsive symmetry-seeking ('morbid geometrism'), while symmetry perception itself is paradoxically lateralized to the right hemisphere, which processes it globally. The deeper argument is ontological: symmetry is sterile, generative of nothing new, whereas asymmetry is fecund, cosmically prior, and constitutive of life itself. Yet McGilchrist resists a simple inversion — what is required is the dialectical pairing of symmetry and asymmetry, themselves an asymmetrical couple. Pauli's contributions come from quantum physics, where symmetry classes govern the behavior of indistinguishable particles, and where violations of reflection symmetry (parity) proved experimentally shocking. Inwood's Stoic materials deploy symmetry in a moral-psychological register, as the proper measure of impulse aligned with Right Reason. Pascal offers an aesthetic observation on symmetry's perceptual grammar. Across these traditions, symmetry marks the border between the repeatable and the generative, the static and the living.
In the library
19 passages
All these meanings ally it with the realm of stasis, of universals, of simple, ideal forms: the left hemisphere … As schizophrenic subjects are attracted to immobility, so they can become obsessed with symmetry.
McGilchrist argues that symmetry's mathematical meaning — invariance under operation — allies it with the left hemisphere's drive toward stasis and universality, and that pathological symmetry-seeking in schizophrenia exemplifies this hemispheric excess.
McGilchrist, Iain, The Matter with Things: Our Brains, Our Delusions, and the Unmaking of the World, 2021thesis
All these meanings ally it with the realm of stasis, of universals, of simple, ideal forms: the left hemisphere … As schizophrenic subjects are attracted to immobility, so they can become obsessed with symmetry.
Duplicate edition passage establishing the left-hemisphere alignment of symmetry and its pathological expression in schizophrenic 'morbid geometrism.'
McGilchrist, Iain, The Matter With Things: Our Brains, Our Delusions and the Unmaking of the World, 2021thesis
the greater meaning of symmetry is that an operation leaves something unchanged … To this extent it is sterile. Asymmetry, by contrast, is generative – in more than one sense.
McGilchrist establishes the ontological inferiority of symmetry to asymmetry, arguing that invariance under operation is a form of sterility while asymmetry is cosmically and biologically generative.
McGilchrist, Iain, The Matter with Things: Our Brains, Our Delusions, and the Unmaking of the World, 2021thesis
the greater meaning of symmetry is that an operation leaves something unchanged … To this extent it is sterile. Asymmetry, by contrast, is generative – in more than one sense.
Parallel edition passage pressing the contrast between the sterility of symmetry and the generativity of asymmetry as a cosmological and biological principle.
McGilchrist, Iain, The Matter With Things: Our Brains, Our Delusions and the Unmaking of the World, 2021thesis
the assessment of symmetry or asymmetry is specifically right hemisphere-dependent – 'a cognitive function lateralized to the right hemisphere for most of the population'. … Symmetry is independent of beauty, though it often plays a covert, if not overt, role.
McGilchrist demonstrates the paradox that symmetry perception — despite symmetry's left-hemisphere valence — is a right-hemisphere cognitive function requiring global processing, and that its relation to beauty is oblique rather than constitutive.
McGilchrist, Iain, The Matter with Things: Our Brains, Our Delusions, and the Unmaking of the World, 2021thesis
the assessment of symmetry or asymmetry is specifically right hemisphere-dependent – 'a cognitive function lateralized to the right hemisphere for most of the population'. … Symmetry is independent of beauty, though it often plays a covert, if not overt, role.
Parallel edition passage on the right-hemisphere lateralization of symmetry discrimination, with the qualification that symmetry and beauty are not equivalent.
McGilchrist, Iain, The Matter With Things: Our Brains, Our Delusions and the Unmaking of the World, 2021thesis
what is needed is both symmetry and asymmetry – themselves an asymmetrical pairing – together. It is neither the breaking of the symmetry alone, nor (alone) the symmetry that is broken, but the new breaking, in conjunction with the old symmetry.
McGilchrist resolves the symmetry-asymmetry dialectic by arguing that their conjunction — itself asymmetrical — is what generates novelty and open-system creativity, not either pole alone.
McGilchrist, Iain, The Matter with Things: Our Brains, Our Delusions, and the Unmaking of the World, 2021thesis
what is needed is both symmetry and asymmetry – themselves an asymmetrical pairing – together. It is neither the breaking of the symmetry alone, nor (alone) the symmetry that is broken, but the new breaking, in conjunction with the old symmetry.
Parallel edition passage articulating the asymmetrical complementarity of symmetry and asymmetry as the generative condition of becoming.
McGilchrist, Iain, The Matter With Things: Our Brains, Our Delusions and the Unmaking of the World, 2021thesis
Breaking symmetries of a certain kind in a similar way leads to irregularly regular ribbed patterns forming – eg, the stripes of a zebra: 'there's a hidden unity: the processes take different physical forms, but the patterns are universal'.
Using Ian Stewart's mathematics of symmetry-breaking, McGilchrist illustrates how the collapse of perfect symmetry generates biological pattern, demonstrating asymmetry's creative role.
McGilchrist, Iain, The Matter with Things: Our Brains, Our Delusions, and the Unmaking of the World, 2021supporting
Breaking symmetries of a certain kind in a similar way leads to irregularly regular ribbed patterns forming – eg, the stripes of a zebra: 'there's a hidden unity: the processes take different physical forms, but the patterns are universal'.
Parallel edition passage on symmetry-breaking as the generative mechanism behind emergent biological patterning.
McGilchrist, Iain, The Matter With Things: Our Brains, Our Delusions and the Unmaking of the World, 2021supporting
Each of these operations associates with any possible physical state or process another one, which is likewise consistent with the laws of nature considered. 1. Particle-antiparticle Conjugation (Charge Symmetry) C.
Pauli articulates the formal physical meaning of symmetry as the invariance of natural law under specific operations, grounding the concept in quantum field theory and its particle-antiparticle implications.
Pauli, Wolfgang, Writings on Physics and Philosophy, 1994supporting
the most important ones (which moreover for two particles are the only ones) are the symmetrical class, in which the wave function does not change its value when the space and spin coordinates of two particles are permuted, and the antisymmetrical class.
Pauli identifies the fundamental division in quantum mechanics between symmetrical and antisymmetrical wave-function classes, showing that symmetry classes govern the statistical behavior of indistinguishable particles.
Pauli, Wolfgang, Writings on Physics and Philosophy, 1994supporting
A critical discussion of the reflection symmetries of weak interactions inaugurated a new development … they found this evidence inadequate, and indicated experiments by which it could be tested.
Pauli recounts the experimental violation of reflection symmetry (parity) in weak interactions, a discovery that undermined the assumption of universal symmetry in natural law.
Pauli, Wolfgang, Writings on Physics and Philosophy, 1994supporting
Experimental Evidence for the Violation of Left-right Symmetry (P) and Charge Symmetry (C).
Pauli documents empirical violations of both left-right (parity) and charge symmetry in atomic physics, demonstrating that symmetry is not an absolute feature of nature.
Pauli, Wolfgang, Writings on Physics and Philosophy, 1994supporting
although it is logically possible to quantize these equations like classical fields, which would give symmetrical states of a system consisting of many such particles, this would be in contradiction with the postulate that the energy of the system has actually to be positive.
Pauli shows that adopting symmetrical quantum states for Dirac particles leads to physically untenable consequences, requiring instead antisymmetrical states — linking symmetry class directly to physical consistency.
Pauli, Wolfgang, Writings on Physics and Philosophy, 1994supporting
This symmetry is described in this way: it is 'according to Reason and is as far as Reason deems proper'. We see here the important connection of the symmetry of impulses with a correct estimate of value and with a limit on impulse.
Inwood deploys symmetry in a Stoic moral-psychological register, where it names the proper proportionality of impulse to rational command, functioning as a normative regulator of action.
Brad Inwood, Ethics and Human Action in Early Stoicism, 1985supporting
a physical individual, whose genesis has been determined by a polarization corresponding to a structure characterized by a certain type of symmetry, can produce a phenomenon that presents a determined polarization.
Simondon links the symmetry type of a crystal's structure to the polarization phenomena it can generate, grounding symmetry in the ontogenesis of physical individuation.
Simondon, Gilbert, Individuation in Light of Notions of Form and Information, 2020supporting
Symmetry in what we see at a glance. Based on the fact that there is no reason to do otherwise. And based too on the human face. Which is why we want symmetry only in breadth, not in height or depth.
Pascal offers a perceptual observation on the grammar of symmetry in aesthetic experience, noting its restriction to bilateral breadth in the human face and its grounding in the absence of reason to do otherwise.
Sexual Symmetry: Love in the Ancient Novel and Related Genres.
A bibliographic citation in which 'symmetry' names the reciprocal structure of erotic relations in ancient prose fiction, used as a classifying concept rather than an analyzed term.
David Konstan, The Emotions of the Ancient Greeks: Studies in Aristotle and Classical Literature, 2006aside