Mathematics deals exclusively with the relations of concepts to each other without consideration of their relation to experience.
Interpretation
Mathematics is a study of abstract concepts and their relationships, independent of real-world applications.
In this quote, Albert Einstein emphasizes that mathematics is fundamentally about the relationships and structures formed by concepts, rather than being tied to practical experiences or empirical evidence. This suggests that the essence of mathematics lies in its own internal logic and reasoning, which can exist independently of the physical world.
In practice
In a lecture about the importance of mathematics in theoretical physics.
I cannot then believe in this concept of an anthropomorphic God who has the powers of interfering with these natural laws. As I said before, the most beautiful and most profound religious emotion that we can experience is the sensation of the mystical. And this mysticality is the power of all true science.
If I would follow your advice and Jesus could perceive it, he, as a Jewish teacher, surely would not approve of such behavior.
I want to know all Gods thoughts; all the rest are just details.
In the middle of adversity there is great opportunity.
I do not believe that civilization will be wiped out in a war fought with the atomic bomb. Perhaps two-thirds of the people of the earth will be killed.
To me the worst thing seems to be a school principally to work with methods of fear, force and artificial authority. Such treatment destroys the sound sentiments, the sincerity and the self-confidence of pupils and produces a subservient subject.
Plasma seems to have the kinds of properties one would like for life. It's somewhat like liquid water--unpredictable and thus able to behave in an enormously complex fashion. It could probably carry as much information as DNA does. It has at least the potential for organizing itself in interesting ways.
I regard music therapy as a tool of great power in many neurological disorders -- Parkinson's and Alzheimer's -- because of its unique capacity to organize or reorganize cerebral function when it has been damaged.
It is a profound and necessary truth that the deep things in science are not found because they are useful; they are found because it was possible to find them.
The word 'universe' is obviously not intended to have a plural, but science has evolved in such a way that we need a plural noun for something similar to what we ordinarily call our universe.
When the wrong question is being asked, it usually turns out to be because the right question is too difficult. Scientists ask questions they can answer. That is, it is often the case that the operations of a science are not a consequence of the problematic of that science, but that the problematic is induced by the available means.
My view of our planet was a glimpse of divinity.
Subscribe for the occasional hand-picked quote. No noise.