Mathematics, the non-empirical science par excellence . . . the science of sciences, delivering the key to those laws of nature and the universe which are concealed by appearances.
Interpretation
Mathematics reveals the fundamental laws of nature that are not immediately obvious.
Hannah Arendt highlights the unique position of mathematics as a foundational discipline that transcends empirical observation, suggesting that it unveils the underlying truths of the universe that often remain hidden behind superficial appearances. This perspective underscores the idea that mathematics is not just a set of techniques, but a vital framework through which we can understand the complexities of the natural world.
In practice
A professor using this quote to inspire students in a mathematics class.
A life spent entirely in public, in the presence of others, becomes, as we would say, shallow. While it retains its visibility, it loses its quality of rising into sight from some darker ground which must remain hidden if it is not to lose its depth in a very real, non-subjective sense.
Politically speaking, tribal nationalism [patriotism] always insists that its own people are surrounded by 'a world of enemies' - 'one against all' - and that a fundamental difference exists between this people and all others. It claims its people to be unique, individual, incompatible with all others, and denies theoretically the very possibility of a common mankind long before it is used to destroy the humanity of man.
We are wont to see friendship solely as a phenomenon of intimacy in which the friends open their hearts to each other unmolested by the world and its demands...Thus it is hard for us to understand the political relevance of friendship...But for the Greeks the essence of friendship consisted in discourse...The converse (in contrast to the intimate talk in which individuals speak about themselves), permeated though it may be by pleasure in the friendβs presence, is concerned with the common world.
Our tradition of political thought had its definite beginning in the teachings of Plato and Aristotle. I believe it came to a no less definite end in the theories of Karl Marx.
Even though we have lost yardsticks by which to measure, and rules under which to subsume the particular, a being whose essence is a beginning may have enough of origin within himself to understand without preconceived categories and to judge without the set of customary rules which is morality.
It is the nature of beginning that something new is started which cannot be expected from whatever may have happened before. This character of startling unexpectedness is inherent in all beginnings.
When a scientist doesn't know the answer to a problem, he is ignorant. When he has a hunch as to what the result is, he is uncertain. And when he is pretty darn sure of what the result is going to be, he is in some doubt.
Science has a culture that is inherently cautious and that is normally not a bad thing. You could even say conservative, because of the peer review process and because the scientific method prizes uncertainty and penalises anyone who goes out on any sort of a limb that is not held in place by abundant and well-documented evidence.
There was a time when 'universe' meant 'all there is.' Everything. The whole shebang. The notion of more than one universe, more than one everything, would seemingly be a contradiction in terms.
In my relativity theory I set up a clock at every point in space, but in reality I find it difficult to provide even one clock in my room.
Scientific research was much like prospecting: you went out and you hunted, armed with your maps and instruments, but in the ened your preparations did not matter, or even your intuition. You needed your luck, and whatever benefits accrued to the diligent, through sheer, grinding hard work.
But it will be found... that one universal law prevails in all these phenomena. Where two portions of the same light arrive in the eye by different routes, either exactly or very nearly in the same direction, the appearance or disappearance of various colours is determined by the greater or less difference in the lengths of the paths.
Subscribe for the occasional hand-picked quote. No noise.