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Zeno’s Paradox: When Achilles, Greece’s Fastest Hero, Lost to a Tortoise

Triumphant Achilles dragging Hector's body around Troy, from a panoramic fresco of the Achilleion
Triumphant Achilles dragging Hector’s body around Troy, from a panoramic fresco of the Achilleion. Credit: Franz Matsch / Public Domain

He was the swift-footed Achilles, the greatest warrior of the Trojan War, a semi-divine hero whose very name was synonymous with speed and power. And yet, for centuries, the smart brilliance of an ancient Greek philosopher has left him perpetually—and quite comically—stuck behind a tortoise. Zeno’s paradox presents a philosophical conundrum that still captivates people millennia after it first questioned the intellectual doctrines of Ancient Greece.

It is a paradox that prompts us to question the nature of motion and reality itself. Specifically, it compels us to explore the infinite—a concept that still confounds quantum physicists today.

Zeno’s Paradox: The problem with Achilles and infinite steps

Picture the scene: Achilles, in all his glorious, muscular beauty, lines up against a tortoise. The tortoise, naturally, gets a head start—a gesture of fair play, one might say, that quickly devolves into philosophical torture.

Achilles and the tortoise
Credit: Loco Steve, Wikimedia Commons, CC BY-SA 2.0 (left), Greek Reporter archive (right)

During this event, Achilles, being well, would instantly sprint past the slow tortoise. But Zeno, with a mischievous twinkle in his eye, argued otherwise. Before Achilles can even reach the position where the tortoise started, the cute little animal will have managed to go forward a little compared to its initial position.

When Achilles finally arrives at that particular spot, the tortoise has moved again. This would carry on forever. This continuous cycle, Zeno noticed, continues ad infinitum, meaning Achilles is forever playing catch-up, never truly reaching the tortoise. It sounds childish and blatantly wrong, but is it? Think about it. It makes sense. It’s enough, at least, to make you wonder about what’s real and what isn’t.

Zeno of Elea's Achilles paradox
Zeno of Elea’s Achilles paradox. Credit: Aelwyn. CC BY-SA 4.0/ Wikimedia Commons/Aelwyn

This confused the ancient Greeks, whose understanding of infinity was still rudimentary. It challenged the very idea of continuous motion, suggesting that movement itself might be an illusion, a series of frozen moments rather than a fluid progression. Indeed, Zeno’s mentor, Parmenides, had famously argued that reality was static and unchanging, and our perception of movement was nothing but a trick of the senses.

Zeno, always the loyal—and brilliant—student, used his paradoxical skills skillfully as an intellectual shield for this peculiar paradox. One can almost imagine the expressions on the faces of Athenian philosophers as Zeno calmly explained why their fastest runner could never quite outrun a slow tortoise.

Of course, modern humans comprehend concepts such as calculus, therefore understanding that Zeno’s apparent deadlock is resolved. Mathematicians like Newton and Leibniz, centuries later, demonstrated that an infinite series of ever-decreasing distances can indeed sum to a finite total.

This means that in Zeno’s paradox, Achilles does overtake the tortoise; the finish line, for him, is not an illusion. Yet, to dismiss Zeno’s paradox completely as a mathematical footnote and a logical mistake would be to miss its profound impact on human thought.

It was a puzzle that had such a consequential effect that it shaped our understanding of the universe. Consider quantum mechanics, for example, where particles seem to exist in multiple states simultaneously—a concept similar to Zeno’s discomfiting fragmentation of reality.

Our digital devices work by breaking down continuous processes into tiny, distinctive steps. This is similar to how a movie creates the illusion of motion from individual frames. This approach, which traces back to Zeno’s ideas about infinitely dividing space and time, is embedded in much of our modern technology.

However, beyond academia and the complex equations of physics that ordinary people can’t even comprehend, the paradox of Achilles and the tortoise has a surprisingly relatable, almost melancholic, wisdom for our own lives that is easier to grasp.

people Thessaloniki metro
Modern life sometimes feels like the paradox of Achilles and the tortoise: A never-ending struggle to reach our goals, only to realise it’s not possible. Credit: Greek Reporter

Achilles and the tortoise as a modern metaphor for our lives

How many times have we felt like Achilles, tirelessly chasing a goal, a dream, or even just the promise of a calmer, better tomorrow, only for it to perpetually remain just out of reach? Life, too, often feels like a series of infinite, tiny steps, each requiring immense effort, each seeming to bring us no closer to the finish line despite the progress we make daily.

Yet, Achilles and the tortoise, when illuminated by the light of calculus, can become a story of hope. It tells us that even an infinite process can have a finite, tangible result, perhaps representing the better tomorrow we all strive for. Progress is undeniably real, however gradually it arrives.

So, the next time you feel stuck, relentlessly pursuing a goal that seems to go further away with every step, remember Achilles and that remarkably slow tortoise.

Zeno, the ancient Greek mastermind, may have created this paradox to confound his contemporaries. But in doing so, he left us with a timeless truth: movement—whether through space, thought, or life itself—is never as simple as it appears. Yet, if we keep putting one foot in front of the other, even if the journey feels impossibly long, like Achilles, we will get there. Eventually.

Related: The Strange Paradoxes and Puzzles of Zeno of Elea

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Greece’s Finance Bill Raises Orthodox Bishops’ Salaries by Up to 95%

Ieronymos
Archbishop of Athens and all of Greece, Ieronymos. Photo Credit: AMNA

A new bill introduced by the Greek Ministry of Finance recently in the nation’s Parliament includes sweeping salary increases for the highest-ranking officials of the Orthodox Christian Church of Greece. Under the proposed legislation, the Archbishop and Metropolitan Bishops will see their monthly gross pay rise by as much as 95%, standardizing their new salaries at €4,671.90.

Greece to restructure how Bishops are paid

The adjustments, outlined in Article 56 of the extensive finance bill, fundamentally change how the state compensates senior clerics. Rather than utilizing the previous tiered allowance system, the new legislation equals the base pay of Metropolitan Bishops with that of the Archbishop of Athens and All Greece.

Both positions are now pegged directly to the compensation of top government executives. Specifically, the hierarchs will receive 90% of the maximum gross salary allotted to a Ministry General Secretary. The public sector basic salary limit for General Secretaries adjusts to €5,191 effective April 1, 2026. The legislation calculates the new clergy pay explicitly as 90% of this figure. The bill firmly states that no other supplementary benefits or allowances will be paid beyond this established rate.

Prior to this legislative update, senior clergy salaries fluctuated based on specific representation expenses and educational qualifications, such as holding a master’s or doctoral degree. The contrast with the new pay scale is significant:

The Archbishop: Previously earned a monthly gross income ranging from €2,840 to €2,915. The adjustment delivers an approximate 60% baseline increase.

Metropolitan Bishops: Previously collected between €2,400 and €2,475 monthly. Under the new equalization framework, their gross pay jumps by up to 95% to match the Archbishop.

Assistant and Titular Bishops: The bill standardizes compensation for lower-ranking hierarchs, setting their total monthly salaries at exactly 70% of the top-tier rate.

Wider public sector wage adjustments

While initially framed around measures combating the energy crisis and supporting vulnerable groups and pensioners, the bill extends far beyond ecclesiastical pay. The legislative package contains comprehensive wage restructuring for various sectors of the Greek state apparatus.

Articles 49 through 55 dictate specific salary and promotional adjustments for the judiciary and civil service. Judicial officers facing delayed promotions due to a lack of open vacancies will receive calculated percentage adjustments to their base pay, depending strictly on their accumulated years of service.

The bill also implements hard compensation caps for other public servants. Members of constitutionally protected independent authorities who hold supplementary government positions cannot exceed 80% of a judicial officer’s total pay. Finally, the legislation actively standardizes the pay scales for administrative staff serving both the Presidency of the Government and the Presidency of the Republic, ensuring direct alignment with the updated 2026 public sector guidelines.

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Ctesibius: The Ancient Greek Tech Genius You’ve Never Heard Of

Ctesibius
A digital representation of Ctesibius. Credit: Greek Reporter archive

Ever found yourself scratching your head, wondering if aside from legendary philosophers and epic poets there were also any “tech gurus” in ancient Greece? When the conversation turns to Greek scientific minds, one might think of figures like Archimedes and Euclid and rightly so. However, there’s a name that truly deserves a much brighter spotlight—that of Ctesibius.

Ctesibius was a true genius of Hellenistic Alexandria, who, quite literally, set the wheels (and yes, the water organ, or hydraulis!) in motion. Due to his brilliant mind, he laid down fundamental principles for technologies that, believe it or not, continue to shape our everyday world to this very day.

Ctesibius was one of ancient Greece’s greatest innovators

Born into the vibrant, intellectual epicenter of Alexandria during the Ptolemaic era, Ctesibius became a hands-on inventor, driven by an almost insatiable curiosity to truly understand and harness the raw power of the natural world.

Imagine at a time when entire civilizations relied on human muscle and simple machines, seeing someone create music from water or build a clock accurate for two thousand years. The sheer innovative audacity of Ctesibius was difficult to fathom.

Of course, at a time of wizards, this wasn’t a magic trick but the real, unadulterated brilliance of the mind of this Greek man. His groundbreaking contributions to pneumatics, the study of compressed air, and hydraulics, the science of liquids in motion, were utterly revolutionary for their time, making Ctesibius the “father of pneumatics.”

Just think about the fact that long before your car tires ever saw a pump or your pneumatic drill came to life, Ctesibius meticulously explored the very principles that made these tools possible. It’s a bit humbling, isn’t it, how many unsung heroes from antiquity have genuinely shaped the modern world we so often take for granted?

Reconstruction of the ancient Greek hydraulis, the first keyboard instrument, displayed at the Kotsanas Museum of Ancient Greek Technology in Athens, displaying its pipes, water basin, and control mechanisms.
Reconstruction of the ancient hydraulis on display at the Kotsanas Museum in Athens. Credit: Aga39memnon, Wikimedia Commons, CC BY 4.0.

From melodic water organs to clocks

Among Ctesibius’ most well-known creations was the hydraulis, a genuinely revolutionary water organ. This was, quite simply, the world’s very first keyboard instrument. What an astonishing feat of engineering from over two millennia ago! It ingeniously utilized water pressure to guarantee a completely constant supply of air to its pipes, producing a sound that was remarkably stable and resonant. Imagine the awe of ancient audiences in hearing such a complex, melodic instrument for the absolute first time. It must have felt like nothing short of a miracle.

Beyond the enchanting music, Ctesibius’ improvements to the clepsydra, or water clock, were equally impressive. Prior to this tech guru, water clocks were notoriously imprecise. He revolutionized them through innovative mechanisms for regulating water flow and added an indicator system that provided unprecedented accuracy.

For over 1,800 years, his water clocks were the absolute gold standard in timekeeping. In other words, the pinpoint accuracy of your smartphone’s clock owes an indirect yet profoundly deep debt to a man who lived centuries before the mere concept of electricity was even a thing.

ancient greek inventions
Ctesibius’ water clock, the first alarm clock ever, as depicted by an architect in the 17th century. Credit: Wikimedia Commons, Public domain

Ctesibius’ impact on our world

While Ctesibius himself may not have managed to become one of ancient Greece’s top names, his principles and inventions survived the test of time. They influenced later Roman and Arab engineers and eventually powered the European Renaissance. The very force pump he designed, for instance, is a direct progenitor of modern pumping systems, absolutely essential for everything from our city water supplies to the fire engines we rely on to keep us safe on a daily basis.

His profound understanding of the properties of air-laid processes set the foundation for all future pneumatic applications which today power everything from colossal industrial machinery to delicate medical devices. Hence, next time you hear the satisfying whoosh of a bus door, the gentle hiss of an automated machine, or simply admire the quiet precision of a modern watch, take a moment to think back to Ctesibius, the ancient Greek tech genius.

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New “Mega-Metro” Will Connect Athens to Nearly 40 Cities

trains in Europe
Under these plans, the Sofia-to-Athens route would be completed in six hours, compared to the current 13.5 hours. Credit: 21st Europe

A highly ambitious transportation proposal aims to connect Athens with approximately 40 other destinations in Europe through a high-speed “mega-metro” rail network by 2040. Dubbed “Starline,” the blueprint of this plan hopes to replace Europe’s fragmented national railways with a unified 22,000-kilometer (14,000-mile) system, significantly reducing travel times for Greek and European passengers overall, offering a green alternative to short-haul flights.

Developed by the Copenhagen-based think tank 21st Europe, the Starline project proposes five major railway corridors spanning 22 nations across Europe. The proposed routes include Line A from Naples to Helsinki, Line B from Lisbon to Kyiv via Madrid, Line C connecting Madrid to Istanbul, Line D from Dublin to Kyiv, and Line E linking Milan to Oslo. Operating like a city metro on a continental scale and obviously above ground, the network will link European cities under a single transit identity, with trains reaching speeds between 300 and 400 kilometers per hour.

Where do Athens and Greece come into the equation of this Europe-wide system?

For Greece, the infrastructure upgrade would drastically alter regional connectivity within the country and across southeastern Europe. Τhe European Commission recently announced targets to cut Sofia-to-Athens travel from 13 hours and 40 minutes to six hours, and Berlin-to-Copenhagen from seven hours to four.

The proposal complements these targets across the continent, where similar reductions will happen. A trip from Berlin to Copenhagen, from example, will drop from seven hours to four, while historically overnight routes like Kyiv to Berlin will become predictable, direct daytime connections.

Map
Credit: 21st Europe

Transportation remains one of Europe’s largest climate challenges, generating roughly a quarter of all greenhouse gas emissions. While aviation accounts for a smaller percentage globally, short-haul flights remain the default for millions of European travelers. High-speed rail produces up to 90 percent less carbon dioxide per journey. 21st Europe states that a large-scale shift to rail represents the best path toward meeting the European Union’s 2050 net-zero emissions targets while maintaining fast mobility.

The proposal moves away from traditional railway conventions as the dark blue trains will abandon standard first- and second-class divisions, replacing them with purpose-built spaces such as quiet workspaces, family-oriented sections, ergonomic seating, and communal coffee areas. This layout aims to democratize long-distance travel and prioritize passenger comfort.

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Greece Plans 15% Tax on Cryptocurrency Profits

Bitcoin and statistic diagram
Greece is planning on taxing profits from cryptocurrencies. Credit: Jorge Franganillo / Wikimedia Commons CC BY 2.0

The Greek government is reportedly finalizing legislation to impose a 15% tax on capital gains derived from cryptocurrencies, aiming to formally integrate digital assets into the national tax code. According to government officials who spoke to Reuters on Friday, the Ministry of National Economy and Finance in Greece is drafting the bill, which authorities expect to submit to Parliament for approval in the coming months.

Under the proposed financial framework, the initial 500 euros of cryptocurrency profits will remain exempt from the new tax to shield small-scale retail investors. Any capital gains exceeding this threshold will face a flat 15% rate, aligning the taxation of digital assets with traditional securities sales in Greece.

It is believed that people engaged in personal cryptocurrency mining will not face taxation on their yields. However, if the mining operation functions as a registered corporate entity, standard business tax rules will apply.

The current situation regarding cryptocurrency taxation in Greece

At present, Greece operates without a comprehensive legal framework specifically targeting cryptocurrency profits and people making a living out of them. This regulatory gap reflects a broader inconsistency across the European Union, where member states currently lack a unified fiscal system for the rapidly expanding sector. Across the continent, tax rates on digital capital gains vary significantly, ranging from an 8% low in neighboring Cyprus to 30% in France. The upcoming Greek legislation seeks to close domestic loopholes and bring Athens in line with European peers that have already established clear rules for digital investors.

The legislative move coincides with a wider European push to curb tax evasion and financial opacity within the digital space. The European Union recently introduced the Markets in Crypto-Assets (MiCA) Regulation and the DAC8 Directive, which mandate strict reporting standards and demand that crypto-asset service providers share user transaction data with national tax authorities. Greece’s updated tax code will operate in tandem with these measures on a European level.

A pointless measure?

Despite the planned implementation, government sources acknowledged severe difficulties in measuring the actual size of the domestic cryptocurrency market. The vast majority of Greek investors execute their trades through international, offshore platforms rather than locally registered exchanges. This decentralized structure makes it nearly impossible for financial authorities to accurately track the total volume of digital assets held by people. Consequently, the Ministry of Finance has not yet published any specific projections regarding the exact state revenues the 15% tax might generate.

Until the proposed legislation officially becomes law, cryptocurrency profits remain largely undeclared in Greece, leaving a substantial pool of potential state revenue untapped.

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Ukraine Apologizes to Greece for Sea Drone Found Off Lefkada

Ukraine Ukranian marine drones
Ukraine officially apologized to Greece late on Friday over the presence of a sea drone off of the island of Lefkada. Credit: AMNA

Ukraine officially apologized to the Greek government on Friday following the discovery of a Ukrainian sea drone near the Ionian island of Lefkada. The unexpected discovery of the uncrewed surface vessel prompted swift diplomatic action from Athens, which raised serious safety and environmental concerns regarding the military presence in Greek territorial waters.

Last week, the Greek government escalated the issue by lodging a formal double diplomatic demarche. Athens directed its official protests to both the Ukrainian Embassy located in the Greek capital and directly to the Ukrainian Ministry of Foreign Affairs in Kyiv. Greek authorities clearly stated that the stray sea drone severely compromised the safety of civilian maritime navigation in the busy Ionian Sea, which is a popular tourist destination both for Greeks and foreigners. Experts noted that any accidental detonation or collision involving the device could have led to human casualties and inflicted extensive environmental damage on the region’s marine ecosystem.

Ukraine’s response to Greece

In direct response to the diplomatic protest from Athens, Ukrainian Foreign Ministry spokesman Heorhii Tykhyi released a public statement on social media late on Friday evening, addressing the issue. Tykhyi offered a formal apology on behalf of Ukraine, attributing the drone’s errant journey into Greek waters to the unpredictable circumstances generated by the ongoing Russian invasion of Ukraine.

“The Ukrainian side expresses its apologies for the incident, stressing that it was the result of circumstances brought about by the ongoing Russian aggression,” Tykhyi wrote in a statement published on Friday. He argued that the discovery off the coast of Lefkada, along with similar events reported in other regions, demonstrates how the current conflict threatens not only Ukraine but also friendly European states and the broader international community.

Addressing the specific maritime concerns raised by the Greek demarche, the Ukrainian foreign ministry noted its strict commitment to international law and the fundamental principles of civilian maritime safety. Ukraine also reiterated a strong, vested interest in preventing any similar occurrences from happening in the future.

Tykhyi pointed out that international and regional security, specifically maritime safety and combating the operations of Russia’s “shadow fleet,” remain urgent, shared priorities for both Greece and Ukraine. Despite the immediate friction caused by the drone’s discovery, Ukraine utilized the statement to emphasize the strength of its bilateral relationship with Greece.

The foreign ministry expressed deep gratitude to the Greek government and the Greek people, praising the country for its steadfast, continuous support of Ukraine since the very first days of Russia’s full-scale invasion. Kyiv concluded by reaffirming its dedication to deepening these friendly relations and maintaining a constructive dialogue across all areas of mutual interest.

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Prominent Greek Conservative Politician George Souflias Dies Aged 85

Souflias
George Souflias in 2009, weeks before his retirement from active politics. Credit: Katerina Mavrona, AMNA

George Souflias, a prominent figure in Greek politics and a long-serving cabinet minister for the center-right New Democracy party, died at the age of 85, it was made public late on Friday evening. Known for his long political career across multiple key ministries and his two bids for the New Democracy (ND) party leadership, Souflias leaves behind an impressive political record spanning over three decades. He had reportedly been facing several health challenges in his final years that led to his death on Friday.

Who Was Souflias

Born on July 7, 1941, during the German Nazi occupation, in the village of Agia Triada in the Farsala municipality of Thessaly, Souflias initially built a career far from politics. He earned a degree in civil engineering from the Polytechnic School of the Aristotle University of Thessaloniki. By 1967, he had established his own design and construction firm in the central Greek city of Larissa, working extensively in the private sector prior to his transition to public service.

His political career launched alongside the restoration of Greek democracy following the junta of 1967–1974. As a candidate for the ND party, Souflias was first elected to the Greek Parliament representing the Larissa constituency in 1974. He quickly established a formidable local stronghold, securing re-election in 11 subsequent national contests: 1977, 1981, 1985, both the June and November elections of 1989, 1990, 1993, 1996, 2004, 2007, and finally in 2009.

Throughout his parliamentary tenure, Souflias was entrusted by party leaders and prime ministers with some of the most critical portfolios in the Greek government. He began his executive service as Deputy Minister of the Interior under Prime Ministers Konstantinos Karamanlis and Georgios Rallis. His influence grew significantly in subsequent administrations. During the Tzannetakis government in 1989 and the later Mitsotakis one between 1990 and 1993, he served as Minister of National Economy. He also held the cabinet positions of Minister of Finance, Minister of National Education and Religious Affairs, and Minister of Environment, Physical Planning, and Public Works (ΥΠΕΧΩΔΕ).

Within the center-right ND party, Souflias was a powerful internal factional leader, mounting two high-profile campaigns for the party leadership. He challenged Miltiades Evert for the leadership in 1996 and subsequently ran against Kostas Karamanlis during the party’s fourth congress in 1997. Both bids were ultimately unsuccessful. Political friction eventually led to his formal expulsion from New Democracy in 1998. The rupture proved temporary, and he was readmitted to the party ranks in 2001, resuming his position as a senior conservative official.

Souflias officially stepped away from public life following the 2009 national elections.

Although he was re-elected as a Member of Parliament for Larissa, he chose to resign his seat immediately. His retirement came amid heavy internal party criticism, as Souflias had been the primary proponent of calling the 2009 snap elections, a strategic decision that resulted in a severe electoral defeat for ND and the landslide election of the center-left PASOK party under George Papandreou, only months before the beginning of the Greek financial crisis. Following the loss, he accepted the political fallout and permanently withdrew from active politics.

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