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.
Thanks to the discoveries of astronomers in the twentieth century, we now know that the heat death is a myth. The heat death can never happen, and there is no paradox.
Geology has shared the fate of other infant sciences, in being for a while considered hostile to revealed religion; so like them, when fully understood, it will be found a potent and consistent auxiliary to it, exalting our conviction of the Power, and Wisdom, and Goodness of the Creator.
Creationist critics often charge that evolution cannot be tested, and therefore cannot be viewed as a properly scientific subject at all. This claim is rhetorical nonsense.
His epitaph: Who, by vigor of mind almost divine, the motions and figures of the planets, the paths of comets, and the tides of the seas first demonstrated.
Symmetries are the playing field on which the physical world works and which determine the rules of the game. The symmetries of nature determine for us things that remain constant, that can't be changed. Those are the guideposts in physics, the quantities like energy and momentum.
If the tribal peoples actually represented Western origins at a much earlier time, it was exceedingly valuable that they should be studied intensely for clues about the nature and origin of human society. Consequently it was an injury to science and human knowledge to allow the military to simply exterminate them.
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