Saturday, March 30, 2019

Edward Page Mitchell: The Tachypomp [1874]


There was nothing mysterious about Professor Surd's dislike for me. I was the only poor mathematician in an exceptionally mathematical class. The old gentleman sought the lecture-room every morning with eagerness, and left it reluctantly. For was it not a thing of joy to find seventy young men who, individually and collectively, preferred x to XX; who had rather differentiate than dissipate; and for whom the limbs of the heavenly bodies had more attractions than those of earthly stars upon the spectacular stage?

So affairs went on swimmingly between the Professor of Mathematics and the junior Class at Polyp University. In every man of the seventy the sage saw the logarithm of a possible La Place, of a Sturm, or of a Newton. It was a delightful task for him to lead them through the pleasant valleys of conic sections, and beside the still waters of the integral calculus. Figuratively speaking, his problem was not a hard one. He had only to manipulate, and eliminate, and to raise to a higher power, and the triumphant result of examination day was assured.

Thursday, March 21, 2019

Ignaz Semmelweis: The Saviour of Mothers


Ignaz Philipp Semmelweis (1 July 1818 – 13 August 1865) was a Hungarian physician of ethnic-German ancestry, now known as an early pioneer of antiseptic procedures. Described as the "saviour of mothers", Semmelweis discovered that the incidence of puerperal fever (also known as "childbed fever") could be drastically cut by the use of hand disinfection in obstetrical clinics. Puerperal fever was common in mid-19th-century hospitals and often fatal. Semmelweis proposed the practice of washing hands with chlorinated lime solutions in 1847 while working in Vienna General Hospital's First Obstetrical Clinic, where doctors' wards had three times the mortality of midwives' wards. He published a book of his findings in Etiology, Concept and Prophylaxis of Childbed Fever.

Despite various publications of results where hand washing reduced mortality to below 1%, Semmelweis's observations conflicted with the established scientific and medical opinions of the time and his ideas were rejected by the medical community. Semmelweis could offer no acceptable scientific explanation for his findings, and some doctors were offended at the suggestion that they should wash their hands and mocked him for it. In 1865, Semmelweis suffered a nervous breakdown and was committed to an asylum, where he died at age 47 of pyaemia, after being beaten by the guards, only 14 days after he was committed. Semmelweis's practice earned widespread acceptance only years after his death, when Louis Pasteur confirmed the germ theory and Joseph Lister, acting on the French microbiologist's research, practiced and operated, using hygienic methods, with great success.

Tuesday, March 12, 2019

Aristotle’s Prior Analytics and Boole’s Laws of Thought: The Birth of Information Age


Symbolic logic

In 1847 George Boole published the pamphlet Mathematical Analysis of Logic. He later regarded it as a flawed exposition of his logical system, and wanted An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities to be seen as the mature statement of his views. This second book of Boole's contained Boolean algebra. Boolean logic is credited with laying the foundations for the information age. Boole maintained that:

"No general method for the solution of questions in the theory of probabilities can be established which does not explicitly recognise, not only the special numerical bases of the science, but also those universal laws of thought which are the basis of all reasoning, and which, whatever they may be as to their essence, are at least mathematical as to their form."

Boole was working on the main principles of Aristotle's logic and contrary to widespread belief, Boole never intended to criticise or disagree with Aristotle's logic. Rather he intended to systematise it, to provide it with a foundation, and to extend its range of applicability.

Sunday, March 10, 2019

DARPA: Third Wave AI


DARPA announced in September 2018 a multi-year investment of more than $2 billion in new and existing programs called the “AI Next” campaign. Key areas of the campaign include automating critical DoD business processes, such as security clearance vetting or accrediting software systems for operational deployment; improving the robustness and reliability of AI systems; enhancing the security and resiliency of machine learning and AI technologies; reducing power, data, and performance inefficiencies; and pioneering the next generation of AI algorithms and applications, such as “explainability” and common sense reasoning.

Tuesday, March 5, 2019

Boltzmann Brain


In physics thought experiments, a Boltzmann brain is a self-aware entity that arises due to extremely rare random fluctuations out of a state of thermodynamic equilibrium. For example, in a homogeneous Newtonian soup, theoretically by sheer chance all the atoms could bounce off and stick to one another in such a way as to assemble a functioning human brain (though this would, on average, take vastly longer than the current lifetime of the universe).

The idea is indirectly named after the Austrian physicist Ludwig Boltzmann (1844–1906), who in 1896 published a theory that the Universe is observed to be in a highly improbable non-equilibrium state because only when such states randomly occur can brains exist to be aware of the Universe. One criticism of Boltzmann's "Boltzmann universe" hypothesis is that the most common thermal fluctuations are as close to equilibrium overall as possible; thus, by any reasonable criterion, human brains in a Boltzmann universe with myriad neighboring stars would be vastly outnumbered by "Boltzmann brains" existing alone in an empty universe.

Sunday, March 3, 2019

Greek: Hack into English

On Wikipedia's start page, five of nine words are Greek.

• biography-βιογραφία • geography-γεωγραφία • history-ιστορία • mathematics-μαθηματικά • technology-τεχνολογία

Most common words in the English language

Of the 500 most common words in English, 18 are of Greek origin:

place-πλατεία (rank 115), problem-πρόβλημα (121), school-σχολείο (147), system-σύστημα (180), program-πρόγραμμα (241), idea-ιδέα (252), story-ιστορία (307), base-βάση (328), center-κέντρο (335), period-περί+οδός (383), history-ιστορία (386), type-τύπος (390), music-μουσική (393), political-πολιτική (395), policy-πόλις/πολίτης (400), paper-πάπυρος (426), phone-φωνή (480), economic-οικονομία (494).

Saturday, March 2, 2019

Clash of Civilizations / The End of History and the Last Man

The clash of civilizations according to Huntington (1996), as presented in the book

The Clash of Civilizations is a hypothesis that people's cultural and religious identities will be the primary source of conflict in the post-Cold War world. The American political scientist Samuel P. Huntington argued that future wars would be fought not between countries, but between cultures. It was proposed in a 1992 lecture, which was then developed in a 1993 Foreign Affairs article titled "The Clash of Civilizations?", in response to his former student Francis Fukuyama's 1992 book, The End of History and the Last Man. Huntington later expanded his thesis in a 1996 book The Clash of Civilizations and the Remaking of World Order.

Friday, March 1, 2019

Number 137


Paul Dirac on Dimensionless Physical Constants and "Large Number Hypothesis"

Is there a number at the root of the universe? Is there a primal number? Is there a number that everything in the universe hinges on, that explains everything? Many of the major discoveries in science have emerged out of mathematics—Einstein’s general theory of relativity, black holes, parallel universes, string theory, and complexity theory are only a few of many examples. All of these can be expressed in equations; yet they also depict concrete aspects of the physical universe.