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🔗 Books 🔗 Socialism 🔗 Anarchism

Bullshit Jobs: A Theory is a 2018 book by anthropologist David Graeber that argues the existence and societal harm of meaningless jobs. He contends that over half of societal work is pointless, which becomes psychologically destructive when paired with a work ethic that associates work with self-worth. Graeber describes five types of meaningless jobs, in which workers pretend their role is not as pointless or harmful as they know it to be: flunkies, goons, duct tapers, box tickers, and taskmasters. He argues that the association of labor with virtuous suffering is recent in human history, and proposes universal basic income as a potential solution.

The book is an extension of a popular essay Graeber published in 2013, which was later translated into 12 languages and whose underlying premise became the subject of a YouGov poll. Graeber subsequently solicited hundreds of testimonials of meaningless jobs and revised his case into a book that was published by Simon & Schuster in May 2018.

🔗 Mathematics

Legendre's constant is a mathematical constant occurring in a formula conjectured by Adrien-Marie Legendre to capture the asymptotic behavior of the prime-counting function ${\displaystyle \pi (x)}$. Its value is now known to be exactly 1.

Examination of available numerical evidence for known primes led Legendre to suspect that ${\displaystyle \pi (x)}$ satisfies an approximate formula.

Legendre conjectured in 1808 that

${\displaystyle \pi (x)={\frac {x}{\ln(x)-B(x)}}}$

where ${\displaystyle \lim _{x\to \infty }B(x)=1.08366}$....OEIS: A228211

Or similarly,

${\displaystyle \lim _{n\to \infty }\left(\ln(n)-{n \over \pi (n)}\right)=B}$

where B is Legendre's constant. He guessed B to be about 1.08366, but regardless of its exact value, the existence of B implies the prime number theorem.

Pafnuty Chebyshev proved in 1849 that if the limit B exists, it must be equal to 1. An easier proof was given by Pintz in 1980.

It is an immediate consequence of the prime number theorem, under the precise form with an explicit estimate of the error term

${\displaystyle \pi (x)={\rm {Li}}(x)+O\left(xe^{-a{\sqrt {\ln x}}}\right)\quad {\text{as }}x\to \infty }$

(for some positive constant a, where O(…) is the big O notation), as proved in 1899 by Charles de La Vallée Poussin, that B indeed is equal to 1. (The prime number theorem had been proved in 1896, independently by Jacques Hadamard and La Vallée Poussin, but without any estimate of the involved error term).

Being evaluated to such a simple number has made the term Legendre's constant mostly only of historical value, with it often (technically incorrectly) being used to refer to Legendre's first guess 1.08366... instead.

Pierre Dusart proved in 2010

${\displaystyle {\frac {x}{\ln x-1}}<\pi (x)}$ for ${\displaystyle x\geq 5393}$, and

${\displaystyle \pi (x)<{\frac {x}{\ln x-1.1}}}$ for ${\displaystyle x\geq 60184}$. This is of the same form as

${\displaystyle \pi (x)={\frac {x}{\ln(x)-B(x)}}}$ with ${\displaystyle 1<B(x)<1.1}$.

The MU puzzle is a puzzle stated by Douglas Hofstadter and found in Gödel, Escher, Bach involving a simple formal system called "MIU". Hofstadter's motivation is to contrast reasoning within a formal system (ie., deriving theorems) against reasoning about the formal system itself. MIU is an example of a Post canonical system and can be reformulated as a string rewriting system.

🔗 United States

🔗 Economics 🔗 Psychology 🔗 Marketing & Advertising 🔗 Retailing

In decision making and psychology, decision fatigue refers to the deteriorating quality of decisions made by an individual after a long session of decision making. It is now understood as one of the causes of irrational trade-offs in decision making. Decision fatigue may also lead to consumers making poor choices with their purchases.

There is a paradox in that "people who lack choices seem to want them and often will fight for them", yet at the same time, "people find that making many choices can be [psychologically] aversive."

For example, major politicians and businessmen such as former United States President Barack Obama, Steve Jobs, and Mark Zuckerberg have been known to reduce their everyday clothing down to one or two outfits in order to limit the number of decisions they make in a day.

🔗 Viruses

Sputnik virophage (from Russian cпутник "satellite", Latin "virus" and Greek φάγειν phagein "to eat") is a subviral agent that reproduces in amoeba cells that are already infected by a certain helper virus; Sputnik uses the helper virus's machinery for reproduction and inhibits replication of the helper virus.

Viruses like Sputnik that depend on co-infection of the host cell by helper viruses are known as satellite viruses. At its discovery in a Paris water-cooling tower in 2008 Sputnik was the first known satellite virus that inhibited replication of its helper virus and thus acted as a parasite of that virus. In analogy to the term bacteriophage it was called a virophage. However, the usage of this term and the relationship between virophages and classical satellite viruses remain controversial.

Sputnik virophages were found infecting giant viruses of Mimiviridae group A. However, they are able to grow in amoebae infected by Mimiviridae of any of the groups A, B, and C.

🔗 Department of Fun

Occasionally, even experienced Wikipedians lose their heads and devote every waking moment to edit warring over the most trivial thing, wasting time debating topics of no practical value, or wrestling over questions whose answers hold no practical consequence. This page documents our lamest examples. It isn't comprehensive or authoritative, but it serves as a showcase of situations where people lose sight of the big picture and obsessively expend huge amounts of energy fighting over something that, in the end, isn't really so important.

Edit warring is believed by some to be important, possibly due to the historical regularity and frequency of the occurrence of these wars. A careful and scholarly study of available archeological evidence has even suggested that edit wars may have recurred on a regular basis going back all the way to the beginning of recorded history, even before the advent of proper writing circa 2001 C.E. (see Wikipedia). In some earlier instances of edit warring, dating back from before the good old days, participants would simply utilize their swords and fight a battle, or later, their guns and fight a duel.

In modern times, physical combat has been outlawed and replaced by the careful inciting of personal attacks, strategic 3RR templating and canvassing, timely notices on WP:AN/I, and (in some cases) marking the changes as a minor edit. Truly, the revolutionary Wikipedia outlook has changed the way things get done. It has changed them from actually getting done to never getting done. On the other hand, nobody gets dispatched (so far!).

🔗 United Kingdom 🔗 Classical music 🔗 Classical music/Compositions

Edward Elgar composed his Variations on an Original Theme, Op. 36, popularly known as the Enigma Variations, between October 1898 and February 1899. It is an orchestral work comprising fourteen variations on an original theme.

Elgar dedicated the work "to my friends pictured within", each variation being a musical sketch of one of his circle of close acquaintances (see musical cryptogram). Those portrayed include Elgar's wife Alice, his friend and publisher Augustus J. Jaeger and Elgar himself. In a programme note for a performance in 1911 Elgar wrote:

This work, commenced in a spirit of humour & continued in deep seriousness, contains sketches of the composer's friends. It may be understood that these personages comment or reflect on the original theme & each one attempts a solution of the Enigma, for so the theme is called. The sketches are not 'portraits' but each variation contains a distinct idea founded on some particular personality or perhaps on some incident known only to two people. This is the basis of the composition, but the work may be listened to as a 'piece of music' apart from any extraneous consideration.

In naming his theme "Enigma", Elgar posed a challenge which has generated much speculation but has never been conclusively answered. The Enigma is widely believed to involve a hidden melody.

After its 1899 London premiere the Variations achieved immediate popularity and established Elgar's international reputation.

🔗 Lists 🔗 Science Fiction 🔗 Transhumanism 🔗 Sociology 🔗 Futures studies 🔗 Science 🔗 Popular Culture

This is a list of fictional stories that, when written, were set in the future, but the future they predicted is now present or past. The list excludes works that were alternate histories, which were composed after the dates they depict, alternative futures, as depicted in time travel fiction, as well as any works that make no predictions of the future, such as those focusing solely on the future lives of specific fictional characters, or works which, despite their claimed dates, are contemporary in all but name. Entries referencing the current year may be added if their month and day were not specified or have already occurred.

🔗 Computing 🔗 Computing/Software 🔗 Computing/Computer science 🔗 Cryptography 🔗 Cryptography/Computer science

In cryptography and computer science, a hash tree or Merkle tree is a tree in which every leaf node is labelled with the cryptographic hash of a data block, and every non-leaf node is labelled with the cryptographic hash of the labels of its child nodes. Hash trees allow efficient and secure verification of the contents of large data structures. Hash trees are a generalization of hash lists and hash chains.

Demonstrating that a leaf node is a part of a given binary hash tree requires computing a number of hashes proportional to the logarithm of the number of leaf nodes of the tree; this contrasts with hash lists, where the number is proportional to the number of leaf nodes itself.

The concept of hash trees is named after Ralph Merkle, who patented it in 1979.