Chess Puzzle

Wow, it's been a while since I last posted anything on this blog. In fact it was July 23rd of this year when I posted about a new image file format. Today I was presented with a chess puzzle that took me a few minutes to work out. See Figure 1.

Figure 1: White to move and mate in 2

The key to the problem is Black's lack of mobility. Only the rook or the pawn on a7 can move. White must make a move so that, whether Black moves the pawn or the rook, mate must follow. The necessary move is Qd5, obvious enough once you see it.

Recently I started solving some of the puzzles on lichess.org as an alternative to playing full games which I usually lose (playing on Fairy-Stockfish 14 level 6). See Figure 2. I always play classical chess with an unlimited time control as I don't enjoy the stress of timed games. I've tried playing 5 minute games against online opponents but found that too tense. I only play against the computer nowadays. For this reason I don't have a rating as it's only games played against online opponents under time controls that count.

Figure 2

My current level in solving puzzles is 1967 and in general I hover around the 2000 mark, sometimes a little above and sometimes a little below.

 
Figure 3

It's a relaxing alternative to playing full games and I should do it more frequently as one means of keeping my brain active.

A New Image File Format

I wanted to download an image file that was in avif file format. This was a format that I'd never seen before. I asked Bard for information about it. Here is what it came up with:

AVIF stands for AV1 Image File Format. It is a royalty-free image file format that uses the AV1 video codec for compression. AVIF files are typically smaller than JPEG or WebP files, while maintaining or even improving image quality.

AVIF files are supported by a growing number of image viewers, including Google Chrome, Mozilla Firefox, and Apple Preview. They can also be converted to other image formats, such as JPEG or PNG.

Here are some of the advantages of using AVIF files:

They are smaller than JPEG or WebP files, while maintaining or even improving image quality.

They are royalty-free, so they can be used without any licensing fees.

They are supported by a growing number of image viewers.

Here are some of the disadvantages of using AVIF files:

They are not as widely supported as JPEG or WebP files.

They may not be compatible with older image viewers.

Overall, AVIF files are a promising new image format that offers a number of advantages over JPEG and WebP files. As more image viewers support AVIF files, they are likely to become more widely used.

Here are some of the features of AVIF files:

Support for multiple color spaces, including HDR and SDR.

Lossless compression and lossy compression.

Transparency support.

Animation support.

AVIF files are a good choice for a variety of applications, including:

Online images, such as those used on websites or in email.

Digital images, such as those used in photography or graphics design.

Video thumbnails.

If you are looking for an image format that offers high image quality and small file sizes, AVIF is a good option to consider.

I downloaded the avis image and tried to upload it to this blog but the server rejected it. Thus one of the disadvantages (not as widely supported as JPEG or WebP files) becomes immediately apparent. In Linux Mint, the only image program that would open it was GIMP and I was able to use this to export the image as JPEG. See below:

So that was interesting. Here is some further information (source):

AV1 Image File Format (AVIF) is an encoding based on the open source AV1 video codec. AVIF is even newer—than WebP, only supported in Chrome and Opera since 2020, Firefox in 2021, and Safari in 2022. As with WebP, AVIF aims to address every conceivable use case for raster images on the web: GIF-like animation, PNG-like transparency, and improved perceptual quality at file sizes smaller than JPEG or WebP.

So far, AVIF shows promise. A testing framework developed by Netflix—a founding member of the Alliance for Open Media, the group responsible for the development of the AV1 codec—shows significant reductions in file sizes when compared to JPEG or WebP. Additional studies by Cloudinary and Chrome's codecs team have weighed it favorably against current encoding standards.

Bard

I played around with Google Bard last night and again today. Previously, I had only used ChatGPT but Bard is able to accept images as input and I tried it out with the image shown in Figure 1.

Figure 1

Here was the prompt that I gave Bard after uploading the image:

Can you recognize where this image came from and say something about what it represents?

The response was as follows:

 The image you sent me is a painting called The School of Athens by Raphael. It was painted in the early 16th century and is now housed in the Vatican Museums in Rome. The painting depicts a group of scholars and philosophers from different eras gathered in a courtyard. The central figure is Plato, who is pointing to the heavens, while Aristotle is pointing to the earth. Other figures in the painting include Pythagoras, Socrates, Euclid, and Archimedes.

The School of Athens is considered one of the greatest masterpieces of Renaissance art. It is a celebration of learning and the pursuit of knowledge. The painting also reflects Raphael's own interest in philosophy and science.

The image you sent me is a reproduction of The School of Athens. It is a common sight in schools and libraries, and it represents the importance of education. The painting is a reminder that we should all strive to learn and grow, and that knowledge is the key to enlightenment.

Interesting response but totally wrong. Figure 2 shows what The School of Athens painting looks like:

Figure 2

The image shown in Figure 1 was taken from the dust jacket of my original copy of The Glass Bead Game so I tried this prompt:

I'm afraid that you are wrong. The painting has something to do with Herman Hesse's Glass Bead Game I think. Does this help?

The response was:

You are correct. The painting I was thinking of is not The School of Athens, but rather The Glass Bead Game by Paul Klee. It was painted in 1921 and is now housed in the Zentrum Paul Klee in Bern, Switzerland. The painting depicts a group of figures playing a game with glass beads. The figures are all different ages and from different cultures, and they are all wearing robes that represent different disciplines of knowledge.

The Glass Bead Game is a central metaphor in Hesse's novel of the same name. In the novel, the Glass Bead Game is a complex and demanding intellectual pursuit that synthesizes all of the arts and sciences. The game is played by a select group of individuals who are known as Glass Bead Players.

The painting by Klee is a visual representation of the Glass Bead Game. It shows the game as a kind of cosmic dance, in which all of the different disciplines of knowledge are interconnected. The painting is a celebration of the human intellect and the power of art to unite people from all walks of life.

I apologize for the confusion. I am still under development and learning to identify different paintings. Thank you for providing me with the correct information.

Clearly, image analysis still has some way to go in Bard. What's disturbing is the confidence with which these AI bots output totally false information.

HUIS-CLOS

I came across the phrase "huis-clos" in a movie review and sought ChatGPT's help to illuminate its meaning:

What does the phrase "huis-clos" mean and can you give some examples of its use.

The phrase "huis-clos" is a French term that translates to "closed doors" in English. It is commonly used to describe a situation or setting where a group of people are confined or locked in together, typically in a confined space or a private setting. It often implies a sense of seclusion, privacy, or intimacy.

"Huis-clos" is also known as the title of a famous play written by Jean-Paul Sartre, titled "Huis Clos" or "No Exit" in English. The play explores existentialist themes and features three characters who are trapped together in a room for eternity. The phrase "hell is other people" is a well-known line from this play, highlighting the tension and psychological dynamics among the characters in their confined space.

In general usage, the term "huis-clos" can be used to describe various scenarios where individuals find themselves in a confined or private setting, often with a sense of intensity, intimacy, or limited external access. For example, it can be used to describe a closed-door meeting, a private conversation behind closed doors, or a group of people stuck together in an isolated location. 

How is the phrase pronounced in English?

In English, the phrase "huis-clos" is typically pronounced as "wee-kloh." Here's a phonetic breakdown:

"huis" is pronounced like "wee" (rhyming with "see").

"clos" is pronounced like "kloh" (rhyming with "mow").

So, when put together, it sounds like "wee-kloh."

Can you give some examples of English language huis-clos movies.

Certainly! "Huis clos" is a French term that translates to "no exit" or "behind closed doors." It refers to a narrative or setting where characters are confined to a specific space or situation, often leading to intense psychological and interpersonal dynamics. While the term originated from Jean-Paul Sartre's play "Huis Clos," here are some examples of English-language films with similar themes: 

"12 Angry Men" (1957) - A group of jurors deliberates in a closed room, exploring issues of justice, prejudice, and human nature. 

"Dogville" (2003) - The film presents a small town where the entire story unfolds on a minimalistic stage, examining themes of power, morality, and societal dynamics.

"The Breakfast Club" (1985) - A group of high school students is stuck in Saturday detention, leading to unexpected connections and revelations. 

"Rope" (1948) - Alfred Hitchcock's film takes place in a single apartment where two friends commit a murder, and the tension escalates as guests arrive for a dinner party. 

"Rear Window" (1954) - Another Hitchcock classic, the film features a wheelchair-bound photographer who suspects his neighbor of murder, observing the events from his apartment window.

These films demonstrate the concept of characters confined to a specific space or situation, where their interactions and conflicts drive the narrative.

Walking Too Fast

The statement in Figure 1 caught my attention recently and I quickly grasped the humour contained in it but I wondered if ChatGPT would.

Figure 1

As it turned out, ChatGPT had no clue until I provided it with one. Here was it's initial response to the question that I posed:

I saw this written on a T-shirt: "If this shirt is blue, you're walking too fast". Why is this humorous?

The humor in the statement on the T-shirt lies in the unexpected and nonsensical nature of the claim. The sentence presents a conditional statement with an absurd premise and an inconsequential consequence, resulting in a play on logic and absurdity. Here's an analysis of why this statement can be considered humorous:

Contradiction: The sentence begins by stating, "If this shirt is blue," implying that the color of the shirt affects something. However, the following part, "you're walking too fast," seems unrelated and illogical. The incongruity between the initial condition and the consequence creates a contradiction that is unexpected and absurd.

Absurdity: The idea that the color of a shirt has any connection to someone's walking speed is inherently silly and lacks a logical basis. There is no logical link between the color of a shirt and the pace at which someone walks. The absurdity of the claim adds an element of surprise and humor.

Twist on expectations: The humor also arises from the fact that the statement subverts our expectations. We typically expect conditional statements to have a cause-and-effect relationship that makes sense, but this statement intentionally breaks that pattern, catching us off guard and leading to amusement.

Wordplay: The sentence relies on a play on words by associating the color "blue" with the concept of speed. This wordplay adds a layer of cleverness to the humor.

Overall, the humor in this statement emerges from the combination of illogical premises, absurdity, unexpectedness, and wordplay. It's a lighthearted and playful form of humor that relies on subverting our logical expectations and presenting an incongruous situation.

Oops, missed the humour completely so I provided some assistance.

Ah, well you've failed to grasp the real humor of the T-shirt's message. It has to do with the Doppler Effect. Do you want to reconsider your previous response.

I apologize if my previous response did not capture the intended humor of the T-shirt's message. If the statement on the T-shirt is intended to reference the Doppler Effect, then the humor lies in the play on words and the clever connection to the scientific phenomenon.

The Doppler Effect is a change in frequency or wavelength of a wave (such as sound or light) as observed by an observer moving relative to the source of the wave. In the case of sound waves, when an object emitting sound approaches, the frequency of the sound waves increases, resulting in a higher pitch. Conversely, when the object moves away, the frequency decreases, resulting in a lower pitch.

The T-shirt's message, "If this shirt is blue, you're walking too fast," cleverly plays with the idea of the Doppler Effect. In this context, the humor arises from the wordplay between the color "blue" and the concept of moving too fast. The statement humorously suggests that if the shirt appears blue, it means the person wearing it is walking so quickly that they are experiencing the Doppler Effect, causing a shift in the perceived color.

The humor in this case relies on the audience's understanding of the Doppler Effect and their ability to make the connection between the scientific phenomenon and the humorous twist in the statement.

I found this an interesting exercise because I was testing ChatGPT's understanding of fairly subtle humour and it failed initially. However, it was quick to pick up on my hint and come up with a correct assessment as to why the statement was funny.

69BC

My diurnal age today is 27068 which converts to 69BC in the hexadecimal number system. I've written about what I term what I term "BC numbers" in a post titled AD and BC Numbers on my mathematical blog. I used ChatGPT to list what significant historical events are associated with the year 69BC. It turns out that there are many.

What significant events occurred in the year 69BC?

The year 69 BC was a significant year in ancient history, with several notable events taking place. Here are a few of them:

The Third Servile War begins: In the Roman Republic, a slave revolt known as the Third Servile War broke out in Sicily in 69 BC, led by the gladiator Spartacus. The rebellion would eventually spread throughout Italy and last until 71 BC.

Birth of Cleopatra VII: Cleopatra VII, the last pharaoh of ancient Egypt, is believed to have been born in 69 BC. She would go on to become one of the most famous and powerful women in history.

Lucullus invades Armenia: The Roman general Lucullus launched a military campaign against the Kingdom of Armenia in 69 BC. This would lead to a series of conflicts between the Roman Republic and the Armenian Kingdom over the next several decades.

The Kingdom of Pontus is dissolved: The Kingdom of Pontus, which had been established by the Persian general Mithridates VI in the late 2nd century BC, was dissolved in 69 BC after Mithridates VI was defeated by the Roman general Lucullus.

The Han Dynasty is established in China: In 69 BC, the Chinese general Liu Bang defeated the last rival warlord and established the Han Dynasty, which would rule China for over four centuries.

These are just a few of the significant events that occurred in 69 BC, highlighting the political, military, and cultural developments of the time.

Searching Effectively Via ChatGPT

One thing that ChatGPT is especially good at is finding answers to vague questions. Take for example the following query of mine:

What is the German word that means thinking of something witty to say only after you’ve walked down the stairs.

The German word you're referring to is "Treppenwitz". It literally translates to "staircase wit" and is used to describe the phenomenon of thinking of a clever or witty comeback or remark too late, usually when you're already leaving the situation. The term originated in the 18th century and is still commonly used in German today.

What is the etymology of this word?

The word "Treppenwitz" is a compound noun that combines the words "Treppe" (staircase) and "Witz" (wit, joke, or pun). The term is believed to have originated in the late 18th century, when the German writer and philosopher Johann Wolfgang von Goethe used it in his work "Wilhelm Meister's Apprenticeship".

The idea behind the word is that a person may come up with a clever or witty response too late, after they have already descended the staircase and left the situation. This could be because the person didn't think of the response at the time, or because they were too nervous or caught off guard to say it.

The term has since become a popular expression in German and is often used to describe the feeling of frustration that comes with thinking of a great comeback or response too late.

Here's a similar vague search that elicited the correct answer after an initial misfire:

What is the name of the book in which all the radio waves and other electromagnetic radiation that mankind has generated and sent out into the cosmos suddenly begin returning to Earth. This swaps all current communication and forces mankind back to pre-industrial times.

The book you are referring to is called "The Return of the Twelves" by Pauline Clarke.

I apologize if this answer is incorrect, as the description you provided does not match the plot of the book "The Return of the Twelves." However, if you could provide me with more details or clarification on the book you are looking for, I would be happy to try and assist you further.

 The book I'm referring to opens with scenes in which people are using horse and buggy and their primary means of transportation. All devices, including cars and motor cycles, have become inoperable due to the return of the human-generated electromagnetic radiation from outer space.

I apologize for the confusion in my previous response. The book you are referring to is actually titled "The Last Gasp" and it is written by Trevor Hoyle.

"The Last Gasp" is a science-fiction novel that depicts a world where all electronic devices suddenly stop working due to an unknown phenomenon, causing a complete breakdown of modern society. The story follows a group of characters as they struggle to survive and adapt to a world without technology, facing new challenges and dangers in the process.

I hope this information is helpful. Let me know if you have any further questions!

Here's one last one, a classic in iatrogenic demise:

Who was the scientist who lived long before Pasteur and who proposed a theory of germs but was ridiculed and ended up in an insane asylum?

The scientist you are referring to is Ignaz Semmelweis. He was a Hungarian physician who lived in the 19th century and is now known for his work on the importance of handwashing in preventing the spread of infectious diseases.

In the mid-1800s, Semmelweis was working at a hospital in Vienna where he noticed that women were dying from childbed fever at a much higher rate in the maternity ward where doctors and medical students worked, compared to the ward where midwives worked. He proposed that this was due to doctors and medical students performing autopsies and then going to deliver babies without washing their hands, which was transferring infectious material to the women.

However, his ideas were met with ridicule and opposition from the medical community at the time, and he was eventually committed to an insane asylum, where he died at the age of 47. It was not until many years later, after the work of Louis Pasteur and the development of germ theory, that Semmelweis's ideas were recognized as important contributions to the understanding and prevention of infectious diseases.