Five-minute digest
Popular Scientific Lectures
Summary
Popular Scientific Lectures gathers fifteen lectures and addresses that the Austrian physicist Ernst Mach gave between the 1860s and 1897 to general audiences, learned societies and university gatherings. They were first collected in English, translated by Thomas J. McCormack for the Open Court Publishing Company of Chicago in 1894–95; the library text is the enlarged third edition of 1898, whose proofs Mach read himself. The early lectures are demonstrations. 'The Forms of Liquids' opens with Socrates as the father of scientific criticism and shows how oil drops in a liquid of equal density take spherical and other shapes of least surface. 'The Fibres of Corti' and 'On the Causes of Harmony' explain Helmholtz's theory that the inner ear analyses sound into partial tones. 'The Velocity of Light' tells how Römer and Fizeau measured it. 'Why Has Man Two Eyes?' treats binocular vision and the stereoscope, and 'On Symmetry' asks why mirror symmetry pleases the eye. The middle group is historical and philosophical. A lecture on electrostatics (Vienna, 1883) defines its concepts by measurement; the long essay on the conservation of energy argues that the principle grew from the old conviction that perpetual motion is impossible. 'The Economical Nature of Physical Inquiry' (1882) gives Mach's best-known thesis: science is the economical ordering of experience, a way of saving thought by compact description, and concepts such as cause, force and the atom are tools for representing phenomena rather than realities behind them. 'On Transformation and Adaptation in Scientific Thought' (Prague, 1883) applies Darwin's idea of adaptation to ideas, which adjust to facts and to one another, and describes how scientists and others 'experiment in their thoughts'. Later addresses compare analogies in physics, weigh the part of accident in invention while insisting the inventor must notice and use what chance reveals, and report Mach's experiments on the sense of rotation, in which he spun himself on an apparatus and modelled the semicircular canals of the ear. 'On Some Phenomena Attending the Flight of Projectiles' (1897) describes his spark photographs of the shock wave around a bullet moving faster than sound. The final address, given at Dortmund in 1886, weighs instruction in Latin and Greek against mathematics and science, granting the classics real value but urging less systematic cramming and more science. Two appendixes treat the history of acoustics and spatial vision. Einstein later credited Mach's criticism of absolute space with helping prepare the way for general relativity.
Top Lessons
Science as economy of thought
Mach holds that a law of nature compresses many observations into one rule, so that what seems like sorcery is really good housekeeping of experience. The view explains the power of mathematics and also its limits, since every description sacrifices some completeness to usefulness.
Ideas grow and adapt
Writing after Darwin, Mach treats concepts as adapting to new facts and to one another. Wonder arises when a fact does not fit our habits of thought; understanding comes when thought adjusts. Experimenting in thought, which Mach finds in historians and artists as well as physicists, is the mind rehearsing such adjustments.
Chance favours the attentive
Mach gathers many examples of discoveries made by accident, yet he insists that the inventor must notice the new fact, grasp its use and turn it to account. Accident supplies opportunity, but attention, preparation and judgment supply discovery.
Criticism of one's own concepts
Mach begins the collection with Socrates' questions and repeatedly asks scientists to examine the origins of their concepts, lest a useful idea become an obstacle. His critique of atoms and absolute space was itself much debated: Boltzmann defended atoms, and the atomic hypothesis was soon strongly confirmed, while Einstein found Mach's criticism of absolute space fruitful.
Verified Quotes
“What we have learned from Socrates, however,--our inheritance from him,--is scientific criticism.”
Frequently cited
“Physics is experience, arranged in economical order.”
“What strikes us here as the fruits of sorcery are simply the rewards of excellent housekeeping, as are the like results in civil life.”
“In the economical schematism of science lie both its strength and its weakness.”
Frequently cited
“The atom must remain a tool for representing phenomena, like the functions of mathematics.”
“But the element of wonder never lies in the phenomenon or event observed; its place is in the person observing.”
“No one disturbs his fellow-men with a new view unpunished.”
“A person who has read and understood the Greek and Roman authors has felt and experienced more than one who is restricted to the impressions of the present.”
Medical Lens
Several lectures belong to the history of sensory physiology. 'The Fibres of Corti' presents Helmholtz's resonance theory of hearing, in which structures of the cochlea respond to different pitches; Mach notes in a footnote that later work modified it. 'Why Has Man Two Eyes?' explains stereoscopic depth from the disparity between retinal images. 'On Sensations of Orientation' reports Mach's own experiments in the 1870s on a rotating chair, the illusions of rotation and inclination, and a mechanical model of the semicircular canals; Mach, Josef Breuer and Alexander Crum Brown reached the hydrodynamic theory of the vestibular organ independently, and Breuer later co-wrote Studies on Hysteria with Freud. Mach's broader claim that physics and psychology study the same elements of sensation from different sides influenced early psychology and the philosophy of mind. The projectile lecture, which opens with the irony of nations both inflicting gunshot wounds and trying to keep them small, concerns ballistics more than wound medicine. Mach also rejects Lombroso's view that genius is a disease.
- The Fibres of Corti
Helmholtz's account of the cochlea as a set of resonators analysing sound, with the illustration of a deaf person 'hearing' through a piano.
- On Sensations of Orientation
Self-experiments on a rotating apparatus, a disc model of the semicircular canals, and credit to Goltz, Breuer and Crum Brown for the theory of the sense of balance.
- The Part Played by Accident in Invention and Discovery, near the end
Mach declines Lombroso's view that genius is a disease while noting that sensitive constitutions succumb readily to illness.
- On Some Phenomena Attending the Flight of Projectiles, opening
Ironic opening on the duty both to inflict bullet wounds and to make and stop them as small as possible, before the physics of supersonic flight.