O’Bryan walked me slowly down the steep side of the mesa, to the desert floor, so I could see Star Axis in its entirety. The work’s centrepiece is a 10-storey staircase that lets you walk up through the rock of the mesa, your eyes fixed on a small circular opening that cuts through the top of the pyramid. The first section of the staircase is roofless and open to the sky, but the end of it has a stone overhang that makes it look and feel like a tunnel. This ‘star tunnel’, as Ross calls it, is precisely aligned with Earth’s axis. If you bored a tunnel straight through the Earth’s core, from the South Pole to North Pole, and climbed up it, you’d see the same circle of sky that you do when you walk through Ross’ tunnel. Gazing up through it in the afternoon glare, I saw a patch of blue, the size and shape of a dime held at arm’s length. But if the sun had blinked for a moment, fading the heavens to black, I’d have seen Polaris, glittering at the end of the tunnel, like a solitary diamond in the void."Embracing the Void," Ross Andersen, Aeon.
What is the smallest prime? "It seems that the number two should be the obvious answer, and today it is, but it was not always so. There were times when and mathematicians for whom the numbers one and three were acceptable answers. To find the first prime, we must also know what the first positive integer is. Surprisingly, with the definitions used at various times throughout history, one was often not the first positive integer (some started with two, and a few with three). In this article, we survey the history of the primality of one, from the ancient Greeks to modern times. We will discuss some of the reasons definitions changed, and provide several examples. We will also discuss the last significant mathematicians to list the number one as prime."
That is the structure of scientific revolutions: normal science with a paradigm and a dedication to solving puzzles; followed by serious anomalies, which lead to a crisis; and finally resolution of the crisis by a new paradigm. Another famous word does not occur in the section titles: incommensurability. This is the idea that, in the course of a revolution and paradigm shift, the new ideas and assertions cannot be strictly compared to the old ones. Even if the same words are in use, their very meaning has changed. That in turn led to the idea that a new theory was not chosen to replace an old one, because it was true but more because of a change in world view. The book ends with the disconcerting thought that progress in science is not a simple line leading to the truth. It is more progress away from less adequate conceptions of, and interactions with, the world. via 3quarksdaily
500 Years of Science, Reason & Critical Thinking via the medium of gross over simplification, dodgy demarcation, glaring omission and a very tiny font.
To celebrate the start of its 350th year, the Royal Society has put online 60 of its most memorable scientific papers. [more inside]
Hellenica is an encyclopedia of Greek culture, from classical Hellas, through the Byzantine Empire until the modern day, though its focus is on antiquity and especially the science and technology of Ancient Greece. Featuring technical diagrams and explications, there's no better site if you seek information on gigantic galleys, now obscure great Greek mathematicians, the last still working Ancient lighthouse and gears and how they were used by Archimedes and other ancients. This is not to denigrate other sections of the site, such as the page on the Olympics (including a Google Map of the site of the games), biographies of ancient, Byzantine and modern Greeks, the warring and healing of the Byzantines or the overview of Greek literature, taking in antiquity, the medieval era and modern times. That said, Hellenica is at its finest when treating science and technology.
A History of Scientific Cosmology from the American Institute of Physics has some great articles on the history of cosmology.
Harmonia Macrocosmica. A digitised book of seventeenth-century astronomy.
A long list of links related to all aspects of the history of scientific instruments, such as sundials, slide rules, and pocket compasses.