If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.
Interpretation
Galileo emphasizes the importance of mathematics as a foundation for learning.
In this quote, Galileo reflects on his own academic journey and suggests that if he had the chance to start over, he would prioritize studying mathematics first. He references Plato, indicating that he believes a strong mathematical background is essential for a deeper understanding of the world and other fields of knowledge.
In practice
Teachers can use this quote to emphasize the importance of foundational subjects in education.
It has always seemed to me extreme presumptuousness on the part of those who want to make human ability the measure of what nature can and knows how to do, since, when one comes down to it, there is not one effect in nature, no matter how small, that even the most speculative minds can fully understand.
We must say that there are as many squares as there are numbers.
Science proceeds more by what it has learned to ignore than what it takes into account.
The sun, with all those planets revolving around it and dependent on it, can still ripen a bunch of grapes as if it had nothing else in the universe to do.
Philosophy is written in this grand book, the universe, which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and read the letters in which it is composed.
That sculpture is more admirable than painting for the reason that it contains relief and painting does not is completely false. ... Rather, how much more admirable the painting must be considered, if having no relief at all, it appears to have as much as sculpture!
It was important to me to become day-to-day fluent and functional in another language, and about 10 years ago, I went to Rome for the first time and felt an instant gut connection and wanted to get to know the city.
If someone has children, the first thing they want is for them to be happy, and then become someone in life and all that. But the educational system, I mean always, not just now, creates competitive, successful people, and does not educate them to be happy. The problem is that success gives money, not happiness. The eternal problem.
I now understand what Nelle Morton meant when she said that one of the great tasks in our time is to "hear people to speech." Behind their fearful silence, our students want to find their voices, speak their voices, have their voices heard. A good teacher is one who can listen to those voices even before they are spoken-so that someday they can speak with truth and confidence.
Knowledge which is acquired under compulsion obtains no hold on the mind.
I feel very strongly indeed that a Cambridge education for our scientists should include some contact with the humanistic side. The gift of expression is important to them as scientists; the best research is wasted when it is extremely difficult to discover what it is all about ... It is even more important when scientists are called upon to play their part in the world of affairs, as is happening to an increasing extent.
I never had a black teacher or lecturer, I never once met a black British person who held any sort of professional or managerial role.
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