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This Day in World History
“What we have as yet seen of this land appears rather low, and not very hilly, the face of the Country green and Woody, but the Sea shore is all a white Sand.” Thus James Cook concluded his log entry for April 19, 1770 — the day Europeans first sighted the continent of Australia.
The Liar paradox arises when we consider the following declarative sentence: This sentence is false. Given some initially intuitive platitudes about truth, the Liar sentence is true if and only if it is false. Thus, the Liar sentence can’t be true, and can’t be false, violating out intuition that all declarative sentences are either true or false (and not both). There are many variants of the Liar paradox. For example, we can formulate relatively straightforward examples of interrogative Liar paradoxes, such as the following Liar question: Is the answer to this question “no”?
India, the world’s largest democracy, is holding its national elections over a six-week period starting 19 April. The elections to the 543-member lower house of the parliament (Lok Sabha) with an electorate, numbering 968 million eligible voters, assumes critical importance as India is going through both internal and external changes that are heavily linked to its rising power aspirations and achievements.
What does “SM” stand for in the context of Leonardo da Vinci? Our visual engagement with the painting has been skewed by fictionalised stories, lurid journalism, and attributional vitriol. For me, SM now stands for “Sensationalised Mess.” How the painting actually works as a devotional image, what it means, and how it embodies Leonardo’s science and art have become lost.
The last two years have proved the restaurant business is nothing if not adaptable. In my residential London neighbourhood, a popular Indian restaurant quickly moved to take-away meals once the first wave of the pandemic hit, a pattern many other businesses followed in a fight for survival. Theirs is a small-scale, family operation; factors that […]
To mark the 80th anniversary of the first transport to Theresienstadt on 24 November 1941, scholar Anna Hájková explores the social relations that formed within Nazi camps.
To observe UK Black History Month, we have curated a collection of Oxford Dictionary of National Biography articles exploring the lives of people of Black/African descent who had an impact on, or a connection to, the UK during their lifetime and the ways in which they made history.
Haggis, to quote the OED, is “a dish consisting of the heart, lungs, and liver of a sheep, calf, etc. (or sometimes of the tripe and chitterlings), minced with suet and oatmeal, seasoned with salt, pepper, onions, etc., and boiled like a large sausage in the maw of the animal.”
Beer is one of the world’s oldest produced alcoholic beverages and since its invention some 13,000 years ago, people across the globe have been brewing, consuming, and even worshiping this amber nectar. Whether you prefer a pale ale, wheat beer, stout, or lager, from the cask or a humble bottle, beer enthusiasts can agree that the topic of beer is as complex as its taste.
Famed English novelist Jane Austen had an extensive, intimate correspondence with her older sister Cassandra throughout her life, writing thousands of letters before her untimely death at the age of 41 in July 1817. However, only 161 have survived to this day. Cassandra purged the letters in the 1840s, destroying a majority and censoring those that remained of any salacious gossip in a bid to protect Jane’s reputation.
British composer and pianist Will Todd has worked at the Royal Opera House, the Lincoln Center in New York, London’s Barbican, and with Welsh National Opera, award-winning choirs The Sixteen, the BBC Singers, and Tenebrae. His music is valued for its melodic intensity and harmonic skill, which often incorporates jazz colours. We caught up with Will to ask him a few questions about his inspiration and approach to composition.
The Yablo Paradox (due to Stephen Yablo and Albert Visser) consists of an infinite sequence of sentences of the following form: S1: For all m > 1, Sm is false. S2: For all m > 2, Sm is false. S3: For all m > 3, Sm is false. : :
: Sn: For all m > n, Sm is false. Sn+1: For all m > n+1, Sm is false. Hence, the nth sentence in the list ‘says’ that all of the sentences below it are false.
Repetition and storytelling are bound in the novel’s representation of weaving, a theme that exemplifies the manner in which Silas Marner deftly moves between fable and realism. Classical mythology and fairy tales are crowded with weavers. Silas’s insect-like activity (he is reduced ‘to the unquestioning activity of a spinning insect’ and ‘seemed to weave, like the spider, from pure impulse, without reflection’ (p. 14)) calls to mind the myth of Arachne, who boldly challenged a goddess to a weaving contest.
The Liar paradox arises via considering the Liar sentence: L: L is not true. and then reasoning in accordance with the: T-schema: Φ is true if and only if what Φ says is the case. Along similar lines, we obtain the Montague paradox (or the paradox of the knower) by considering the following sentence: M: M is not knowable. and then reasoning in accordance with the following two claims: Factivity: If Φ is knowable then what Φ says is the case.
We are often told that we should be open-minded. In other words, we should be open to the idea that even our most cherished, most certain, most secure, most well-justified beliefs might be wrong. But this is, in one sense, puzzling.
As regular readers know, I understand paradoxes to be a particular type of argument.