01UndatedMathematics is one of the major modern mysteries. Perhaps it is the leading one, occupying a place in our society similar to the religious mysteries of another age. If we want to know something about what our age is all about, we should have some understanding of what mathematics is, and of how the mathematician operates and thinks.Mortimer J. Adler / quote ↗
02UndatedYou must be able to say "I understand," before you can say "I agree," or "I disagree," or "I suspend judgment.Mortimer J. Adler / quote ↗
03Undated... a practical problem can only be solved by action itself. When your practical problem is how to earn a living, a book on how to make friends and influence people cannot solve it, though it may suggest things to do. Nothing short of the doing solves the problem. It is solved only by earning a living.Mortimer J. Adler / quote ↗
04UndatedEnlightenment is achieved only when, in addition to knowing what an author says, you know what he means and why he says it.Mortimer J. Adler / quote ↗
05UndatedThe reader tries to uncover the skeleton that the book conceals. The author starts with the skeleton and tries to cover it up. His aim is to conceal the skeleton artistically or, in other words, to put flesh on the bare bones. If he is a good writer, he does not bury a puny skeleton under a mass of fat; on the other hand, neither should the flesh be too thin, so that the bones show through. If the flesh is thick enough, and if the flabbiness is avoided, the joints will be detectable and the motion of the parts will reveal the articulation.Mortimer J. Adler / quote ↗
06UndatedWe are not told, or not told early enough so that it sinks in, that mathematics is a language, and that we can learn it like any other, including our own. We have to learn our own language twice, first when we learn to speak it, second when we learn to read it. Fortunately, mathematics has to be learned only once, since it is almost wholly a written language.Mortimer J. Adler / quote ↗
07Undated... always keep in mind that an article of faith is not something that the faithful assume. Faith, for those who have it, is the most certain form of knowledge, not a tentative opinion.Mortimer J. Adler / quote ↗
08UndatedThe trouble is that many people regard disagreement as unrelated to either teaching or being taught. They think that everything is just a matter of opinion. I have mine, and you have yours; and our right to our opinions is as inviolable as our right to private property. On such a view, communication cannot be profitable if the profit to be gained is an increase in knowledge. Conversation is hardly better than a ping-pong game of opposed opinions, a game in which no one keeps score, no one wins, and everyone is satisfied because he does not lose - that is, he ends up holding the same opinions he started with.Mortimer J. Adler / quote ↗
09UndatedThe telephone book is full of facts but it doesn't contain a single idea.Mortimer J. Adler / quote ↗