Oxford University Unveils 2 Letters on Ancient Egyptian Mathematics

The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
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Oxford University Unveils 2 Letters on Ancient Egyptian Mathematics

The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)

Two researchers at Oxford University unveiled a scientific document on mathematics in Ancient Egypt.

The document features two letters exchanged between Thomas Eric Peet (1882–1934), who was professor of Egyptology at the University of Liverpool and then a professor of Egyptology at Oxford, and Otto Neugebauer (1899–1990), one of the most prominent mathematics historians in the 20th century.

The letters were found at Peet's house, and then gifted to the Queen's College at Oxford. A recent study published in the latest issue of the Historia Mathematica journal, showcased the letters which shed light on the early 20th century study of ancient Egyptian math and issues of historical approaches to the ancient world.

The study was led by historian of mathematics Dr. Christopher Hollings and Egyptology Professor Richard Bruce Parkinson, who worked together on evaluating the discussions between Peet and Neugebauer, and a study prepared by Peet on a Rhind Mathematical Papyrus dating from 1537 BCE, now held in the British Museum.

In his study, Peet said the papyrus consists of over 80 arithmetical and geometrical problems and solutions, ranging from the distribution of rations among workers, to the calculation of areas and volumes. As such, it is one of the most complete surviving sources providing an insight into the mathematics used in ancient Egypt.

Peet's edition reignited academic interest in Egyptian mathematics. One of the people whom his work inspired was Neugebauer, who subsequently wrote a doctoral dissertation on the principles of Egyptian fraction reckoning (as reflected in the Rhind Papyrus).

According to Hollings and Parkinson, the letters between the pair shed light on the way in which ancient Egyptian mathematics was being re-evaluated in the 1920s.

They explained that the letters reveal a contrast between the attitudes of two scholars who approached the subject with different viewpoints. Both were competent mathematicians and Egyptologists, and yet one of them, Neugebauer, put the mathematics first, and linked the modern ideas on mathematics to the direct evidence of papyri.

As per Peet, he brought Egyptological considerations to the fore, and confined his analysis largely to what was clearly and unequivocally present in the ancient text.



Lithuania Bids to Save Baltic Seals as Ice Sheets Recede

Lithuania Bids to Save Baltic Seals as Ice Sheets Recede
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Lithuania Bids to Save Baltic Seals as Ice Sheets Recede

Lithuania Bids to Save Baltic Seals as Ice Sheets Recede

The grey seals slide out of their cages into the Baltic Sea near the Lithuanian coast, swimming off to new lives imperiled by climate change, pollution and shrinking fish stocks.

The seals have been nurtured at a rehabilitation center in the Lithuanian port of Klaipeda.

Survival rates for cubs in the wild can be as low as five percent, according to local scientists.

The Baltic Sea, which is shared by the European Union and Russia, rarely freezes over now, depriving seals of sanctuaries to rear their cubs, AFP reported.

"Mothers are forced to breed on land in high concentration with other seals," said Vaida Surviliene, a scientist at Vilnius University.

"They are unable to recognize their cubs and often leave them because of it," she said.

Rearing cubs ashore also leaves them exposed to humans, other wild animals, rowdy males, as well as a higher risk of diseases, according to Arunas Grusas, a biologist at the center.

Grusas began caring for seals in 1987 when he brought the first pup back to his office at the Klaipeda Sea Museum, which now oversees the new rehabilitation center built in 2022.

"We taught them how to feed themselves, got them used to the water –- they had to get comfortable with the sea, which spat them out ashore practically dying," Grusas said.

The very first cubs were placed into makeshift baths set up in an office.

"It was a sensation for us, there were practically no seals left then," Grusas said.
The scientists had to learn how to nurse the cubs back to health.

First, the cubs were treated to liquid formula before moving onto solid food.

At the time in the late 1980s, the seals were close to extinction –- there were just around 4,000 to 5,000 left in the sea from a population of around 100,000 before the Second World War.

"The population began to decrease drastically in the 1950s due to hunting amid competition with fishers," said Surviliene.

The 1960s also saw the use of pesticides in agriculture that were "incredibly toxic for predators", the scientist said.

The seals at the top of the food chain in the Baltic Sea absorbed the pollution, leaving the females infertile and the entire population with a weak immune system, unable to ward off parasites and resist infections.

After a ban on toxic pesticide use, the population survived, with the current estimates putting the number of grey seals in the Baltic Sea at 50,000 to 60,000.

In a response to overfishing, the European Commission also finally banned commercial cod fishing in the eastern Baltic Sea in 2019.

"Over 80 percent of fish resources in the Baltic Sea have been destroyed, the seals have nothing left to eat," said Grusas.

The ban has yet to show a positive result.

"There has been no fishing of eastern Baltic cod for around five years, but it's not yet recovering -- and it's one of the main sources of food" for the seals, said Darius Daunys, a scientist at Klaipeda University.

Recently a growing number of adult seals have been washing up on Lithuanian beaches.

Scientists like Grusas point the finger at near-shore fishing nets, where seals desperate for food end up entangled and ultimately drown.

Out in the Baltic Sea, the nine released seals took their first swim in the wild.

Previously, GPS trackers showed they favored a route north toward the Swedish Gotland island in the middle of the Baltic Sea, where fish are more plentiful.

Others, however, needed a gentle push from the biologists.

In previous years, the released seals would even follow the boat back to shore, scared to venture off alone.

Eventually they all find their way in the wild.

Grusas is now preparing to retire after dedicating his life to saving animals.

He will leave at a time when the grey Baltic seal population has stabilized, but remains highly vulnerable.

"I've spent my whole life with seals," he said. "I'm tired of the tension –- you just don't know what can happen to them."