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.
Certainly, it may bring to light such a deeper knowledge of the structure of matter as to constitute a veritable discontinuity in the progress of science.
Science has a simple faith, which transcends utility... It is the faith that it is the privilege of man to learn to understand, and that this is his mission.
Before the discovery of quantum mechanics, the framework of physics was this: If you tell me how things are now, I can then use the laws of physics to calculate, and hence predict, how things will be later.
Extinguished theologians lie about the cradle of every science as the strangled snakes beside that of Hercules; and history records that whenever science and orthodoxy have been fairly opposed, the latter has been forced to retire from the lists, bleeding and crushed if not annihilated; scotched, if not slain.
I have a reverence for medicine because I hero-worshiped my father [a former doctor], and because I admire doctors, I admire study, empiricism and rational thought. I don't study, empiricize or think rationally myself - but I admire it in others.
Most discoveries even today are a combination of serendipity and of searching.
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