Learning hath his infancy, when it is but beginning and almost childish; then his youth, when it is luxuriant and juvenile; then his strength of years, when it is solid and reduced; and lastly his old age, when it waxeth dry and exhaust.
[Not enough is known about solid geometry] and for two reasons: in the first place, no government places value on it; this leads to a lack of energy in the pursuit of it, and it is difficult. In the second place, students cannot learn it unless they have a teacher. But then a teacher can hardly be found.
I wonder what especial sanctity attaches itself to fifteen minutes. It is always the maximum and the minimum of time which will enable us to acquire languages, etiquette, personality, oratory ... One gathers that twelve minutes a day would be hopelessly inadequate, and twenty minutes a wasteful and ridiculous excess.
We all learn by experience, and your lesson this time is that you should never lose sight of the alternative. Sherlock Holmes speaking with Dr. Watson.
The greater the scientist, the more he is impressed with his ignorance of reality, and the more he realizes that his laws and labels, descriptions and definitions, are the products of his own thought. They help him to use the world for purposes of his own devising rather than understand and explain it.
Men grind and grind in the mill of a truism, and nothing comes out but what was put in. But the moment they desert the tradition for a spontaneous thought, then poetry, wit, hope, virtue, learning, anecdote, and all flock to their aid.
For there is a great difference in delivery of the mathematics , which are the most abstracted of knowledges, and policy , which is the most immersed. And howsoever contention hath been moved , touching a uniformity of method in multiformity of matter, yet we see how that opinion, besides the weakness of it, hath been of ill desert towards learning, as that which taketh the way to reduce learning to certain empty and barren generalities; being but the very husks and shells of sciences, all the kernel being forced out and expulsed with the torture and press of the method.
Lionel Johnson comes the first to mind,
That loved his learning better than mankind,
Though courteous to the worst; much falling he
Brooded upon sanctity.
He who remembers from day to day what he has yet to learn, and from month to month what he has learned already, may be said to have a love of learning.
Ignorance of all things is an evil neither terrible nor excessive, nor yet the greatest of all; but great cleverness and much learning, if they be accompanied by a bad training, are a much greater misfortune.