Generalisation Quotes
A seeker after Truth cannot afford to indulge in generalisation. Darwin for the greater part of his book Origin of the Species [sic] has simply massed fact upon fact without any theorising, and only towards the end has formulated his conclusion which, because of the sheer weight of testimony behind it, becomes almost irresistible. Yes I have criticised even Darwin's generalisation as being unwarranted. Science tells us that a proposition may hold good in nine hundred ninety-nine cases and yet fail in the thousandth case and thus be rendered untenable as a universal statement.
Mahatma Gandhi
As these lines are being written, the circumstances under which I first clearly grasped the important generalisation that the laws of Heredity were solely concerned with deviations expressed in statistical units, are vividly recalled to my memory. It was in the grounds of Naworth Castle, where an invitation had been given to ramble freely. A temporary shower drove me to seek refuge in a reddish recess in the rock by the side of the pathway. There the idea flashed across me, and I forgot everything else for a moment in my great delight.
Francis Galton
The new tinge to modern minds is a vehement and passionate interest in the relation of general principles to irreducible and stubborn facts. All the world over and at all times there have been practical men, absorbed in 'irreducible and stubborn facts'; all the world over and at all times there have been men of philosophic temperament, who have been absorbed in the weaving of general principles. It is this union of passionate interest in the detailed facts with equal devotion to abstract generalisation which forms the novelty of our present society.
Alfred North Whitehead
All the world over and at all times there have been practical men, absorbed in 'irreducible and stubborn facts'; all the world over and at all times there have been men of philosophic temperament, who have been absorbed in the weaving of general principles. It is this union of passionate interest in the detailed facts with equal devotion to abstract generalisation which forms the novelty of our present society.
Alfred North Whitehead
The casting of the net corresponds to observation; for knowledge which has not been or could not be obtained by observation is not admitted into physical science.
An onlooker may object that the first generalisation is wrong. "There are plenty of sea-creatures under two inches long, only your net is not adapted to catch them." The icthyologist dismisses this objection contemptuously.
Arthur Eddington
The first step is that we need to revisit the validity of Newton's universal law of gravitation. Starting in the 1980s, Mordehai Milgrom at the Weizmann Institute in Israel showed that a small generalisation of Newton's laws can yield the observed dynamics of matter in galaxies and in galaxy clusters without dark matter. This approach is broadly known as MOND (MOdified Newtonian Dynamics). Milgrom's correction allows gravitational attraction to fall off with distance more slowly than expected (rather than falling off with the square of distance as per Newton) when the local gravitational acceleration falls below an extremely low threshold. This threshold could be linked to other cosmological properties such as the ‘dark energy' that accounts for the accelerating expansion of the Universe. These links suggest a deeper fundamental theory of space, time and matter, which has not yet been formulated.
Pavel Kroupa