We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
Interpretation
Algebra must be understandable and practical; if it isn't, it fails its purpose.
This quote by William Kingdon Clifford emphasizes the importance of clarity and practicality in mathematics, specifically algebra. It suggests that if algebra cannot be expressed in straightforward, understandable language and common sense, then it loses its effectiveness and usefulness. The essence of mathematical concepts should be accessible to ensure they can be effectively utilized in real-world scenarios.
In practice
This quote can be used in a math class to emphasize the importance of understanding math concepts.
The aim of scientific thought, then, is to apply past experience to new circumstances; the instrument is an observed uniformity in the course of events. By the use of this instrument it gives us information transcending our experience, it enables us to infer things that we have not seen from things that we have seen; and the evidence for the truth of that information depends on our supposing that the uniformity holds good beyond our experience.
Remember that [scientific thought] is the guide of action; that the truth which it arrives at is not that which we can ideally contemplate without error, but that which we may act upon without fear; and you cannot fail to see that scientific thought is not an accompaniment or condition of human progress, but human progress itself.
Into this, for good or ill, is woven every belief of every man who has speech of his fellows. A awful privilege, and an awful responsibility, that we should help to create the world in which posterity will live.
This sense of power is the highest and best of pleasures when the belief on which it is founded is a true belief, and has been fairly earned by investigation.
It is wrong always, everywhere, and for anyone, to believe anything upon insufficient evidence.
Students now arrive at the university ignorant and cynical about our political heritage, lacking the wherewithal to be either inspired by it or seriously critical of it.
Helping people to connect with their personal creative capacities is the surest way to release the best they have to offer.
It is through our hands that we speak to the child. That we communicate. _x000D_ Touch is the child's first language, understanding comes long after feeling
People say Malala's voice is being sold to the world. But I see it as Malala's voice reaching the world and resonating globally. You should think about what is behind Malala's voice. What is she saying? I am only talking about education, women's rights, and peace.
It looks like itβs wasting time, but literature is actually the ultimate time-saver - because it gives us access to a range of emotions and events that it would take you years, decades, millennia to try to experience directly. Literature is the greatest reality simulator - a machine that puts you through infinitely more situations than you can ever directly witness.
This is what I have learned: Any white person living in the United States will develop opinions about race simply by swimming in the water of our culture. But mainstream sources - schools, textbooks, media - don't provide us with the multiple perspectives we need.
Subscribe for the occasional hand-picked quote. No noise.