Notwithstanding all that has been discovered since Newton's time, his saying that we are little children picking up pretty pebbles on the beach while the whole ocean lies before us unexplored remains substantially as true as ever, and will do so though we shovel up the pebbles by steam shovels and carry them off in carloads.
Interpretation
Knowledge is vast and our understanding is limited, much like children playing on a beach with tiny stones.
This quote by Charles Sanders Peirce reflects on the nature of human knowledge and discovery. Even with advancements in science and technology since Newton's time, our understanding remains minimal compared to the vastness of what is yet to be explored. The metaphor of children on a beach symbolizes how we may be fascinated by small discoveries (the pebbles), while the larger, more profound truths (the ocean) remain largely unknown and uncharted. This underscores the humility that should accompany our pursuit of knowledge and the acknowledgment that there is always more to learn.
In practice
In a classroom setting to encourage students to be curious about the unknown.
The final upshot of thinking is the exercise of volition, and of this thought no longer forms a part; but belief is only a stadium of mental action, an effect upon our nature due to thought, which will influence future thinking.
My language is the sum total of myself.
All the evolution we know of proceeds from the vague to the definite.
The third class consists of men to whom nothing seems great but reason. If force interests them, it is not in its exertion, but in that it has a reason and a law. For men of the first class, nature is a picture; for men of the second class, it is an opportunity; for men of the third class, it is a cosmos, so admirable, that to penetrate to its ways seems to them the only thing that makes life worth living. These are the men whom we see possessed by a passion to learn.
A quality is something capable of being completely embodied. A law never can be embodied in its character as a law except by determining a habit. A quality is how something may or might have been. A law is how an endless future must continue to be.
In all the works on pedagogy that ever I read — and they have been many, big, and heavy — I don't remember that any one has advocated a system of teaching by practical jokes, mostly cruel. That, however, describes the method of our great teacher, Experience.
It is a good principle in science not to believe any 'fact'---however well attested---until it fits into some accepted frame of reference. Occasionally, of course, an observation can shatter the frame and force the construction of a new one, but that is extremely rare. Galileos and Einsteins seldom appear more than once per century, which is just as well for the equanimity of mankind.
A careful analysis of the process of observation in atomic physics has shown that the subatomic particles have no meaning as isolated entities, but can only be understood as interconnections between the preparation of an experiment and the subsequent measurement.
It is essential to understand our brains in some detail if we are to assess correctly our place in this vast and complicated universe we see all around us.
One theory which can no longer be taken very seriously is that UFOs are interstellar spaceships.
The smaller the planets are, they are, other things being equal, of so much the greater density; for so the powers of gravity on their several surfaces come nearer to equality. They are likewise, other things being equal, of the greater density, as they are nearer to the sun.
The scientist who yields anything to theology, however slight, is yielding to ignorance and false pretenses, and as certainly as if he granted that a horse-hair put into a bottle of water will turn into a snake.
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