The Grammar of Science

1

The Grammar of Science is a book by Karl Pearson first published in hardback in 1892. In 1900, the second edition, published by Adam & Charles Black, appeared. The third, revised, edition was also published by Adam & Charles Black in 1911. It was recommended by Einstein to his friends of the Olympia Academy. Several themes were covered in this book that later became part of the theories of Einstein and other scientists, such as:

Chapter I

"Introductory - The Scope and Method of Science"

Chapter II

"The Facts of Science"

Chapter III

"The Scientific Law"

Chapter IV

"Cause and Effect - Probability"

Chapter V

"Contingency and Correlation - The Insufficiency of Causation"

Chapter VI

"Space and Time"

Chapter VII

"The Geometry of Motion"

Chapter VIII

"Matter" The notion of matter is found to be equally obscure whether we seek for definition in the writings of physicists or of "common sense" philosophers. The difficulties with regard to it appear to arise from asserting the phenomenal but imperceptible existence of mere conceptual symbols. Change of sense-impression is the proper term for external perception. Motion is the proper term for our conceptual symbolisation of this change. Of perception the question "what moves" and "why it moves" are seen to be idle. In the field of conception, the moving bodies are geometrical ideals with merely descriptive motions. In order to understand that we can perceive change of sense-impression but we can only conceive motion, three questions must be asked: "What moves? Why does it move? How does it move?". Science can only answer the question "How does it move?". The others are unintelligible, because we find that matter, force, and "action at a distance" are not terms which express real problems of the phenomenal world.

Chapter IX

"The Laws of Motion" The physicist forms a conceptual model of the universe by the aid of corpuscles. These corpuscles are only symbols for the component parts of perceptual bodies and are not to be considered as in any way resembling definite perceptual equivalents. The corpuscles with which we have to deal are ether-element, prime-atom, atom, molecule, and particle. We conceive them to move in the manner which enables us most accurately to describe the sequences of our sense-impressions. This manner of motion is summed up in the so-called laws of motion. These laws hold in the first place for particles, but they have been frequently assumed to be true for all corpuscles. It is more reasonable, however, to conceive that a great part of mechanism flows from the structure of gross "matter." The proper measure of mass is found to be a ratio of mutual accelerations, and force is seen to be a certain convenient measure of motion, and not its cause. The customary definitions of mass and force, as well as the Newtonian statement of the laws of motion, are shown to abound in metaphysical obscurities. It is also questionable whether the principles involved in the current statements as to the superposition and combination of forces are scientifically correct when applied to atoms and molecules. The hope for future progress lies in clearer conceptions of the nature of ether and of the structure of gross "matter." The general laws of motion are expressed as extensions of Newton's Laws First Law: "Every corpuscle in the conceptual model of the universe must be conceived as moving with due regard to the presence of every other corpuscle, although for very distant corpuscles the regard paid is extremely small as compared with that paid to immediate neighbours." Second Law: "Principle of Inertia" Third Law: "Mutual Acceleration is determined by Relative Position" Fourth Law: "The ratio of the acceleration of A due to B to the acceleration of B due to A must always be considered to be the same whatever be the position of A and B, and whatever be the surrounding field" Fifth Law: "The Definition of Force - The force of B on A is equal and opposite to the force of A on B"

Chapter X

"Modern Physical Ideas" The development of physical science over the last twenty years has revealed phenomena which illustrate clearly the principles and method of the preceding chapters. The Newtonian scheme of dynamics has been shown to be an approximation valid only for gross matter and our gross senses. There is reasonable ground for supposing that an electro-magnetic scheme of the constitution of matter will prove far more comprehensive. But there are outstanding difficulties, notably that gravitation has so far defied all efforts to bring it into line with this scheme, and that no simple concept has yet been furnished to represent the positive electricity of experiment. The principles of conservation of energy, momentum, and mass all become meaningless without an ether which is as much and as little a reality as matter, and then mass, energy, momentum, are quantities in the same category with force. The constancy of the mass of a body in material dynamics, which is the whole experimental basis of that science, is replaced by the conception of all electrons of the same type (negative, possibly also positive) being identical in character. The ether is a purely conceptual medium which, as far as theory is at present developed, is structureless except that at isolated points there exist centres at which its properties are exceptional. These centres, by their mutual motion and grouping, constitute the model of the sequence of natural phenomena. New light is thrown on our conceptions of space and time. They are interdependent and conditioned by the phenomena which they are used to describe. The phrase "motion relative to the ether" becomes meaningless. The ether is becoming more and more clearly a concept in the mind of each observer.

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