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What are the real numbers, really? (2024)

news.ycombinator.com Joel David Hamkins 2025-11-23 15:03:13

What is a real number? Let us consider the real continuum. The classical discovery of irrational numbers reveals gaps in the rational number line: the place where √2 would be, if it were rational, is a hole in the rational line. Thus, the rational numbers are seen to be incomplete. One seeks to complete them, to fill these holes, forming the real number line ℝ. Please enjoy this free extended excerpt from Lectures on the Philosophy of Mathematics, published with MIT Press 2021, an introduction

Topics: complete dedekind number numbers real

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Airbnb now lets you ‘pay later’ on vacation rentals

theverge.com Emma Roth 2025-11-23 15:33:14

is a news writer who covers the streaming wars, consumer tech, crypto, social media, and much more. Previously, she was a writer and editor at MUO. Posts from this author will be added to your daily email digest and your homepage feed. Airbnb has introduced a new “reserve now, pay later” option that lets users in the US book a reservation without paying right away. Instead, users can put off their payment to a later date before check-in. Airbnb says it will require payment before the end of a

Topics: airbnb later pay payment users

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Norway spy chief blames Russian hackers for hijacking dam

techcrunch.com Zack Whittaker 2025-11-23 15:32:02

In Brief Russian hackers briefly hijacked a dam in Norway in early April and spilled millions of gallons of water before the attack was stopped, Norway’s spy chief revealed Thursday. The hackers opened a floodgate at the Bremanger dam in western Norway to release the equivalent of about three Olympic-sized swimming pools of water during the four hours they had control of the dam’s computer systems. Beate Gangaas, the head of Norway’s security police service, blamed the cyberattack on Russian

Topics: blamed dam hackers norway russian

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Bluesky rolls out massive revamp to policies and Community Guidelines

techcrunch.com Sarah Perez 2025-11-23 15:49:58

Two years after launching, social network Bluesky is revising its Community Guidelines and other policies, and asking for feedback from its users on some of the changes. The startup, a competitor to X, Threads, and open networks like Mastodon, says its new policies are meant to offer improved clarity and more detail around its user safety procedures and the appeals process. Many of the changes are being driven by new global regulations, including the UK Online Safety Act (OSA), the EU Digital S

Topics: bluesky community disrupt safety users

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What is Bluesky? Everything to know about the X competitor

techcrunch.com Amanda Silberling 2025-11-23 15:56:59

Is the grass greener on the other side? We’re not sure, but the sky is most certainly bluer. It’s been over two years since Elon Musk purchased Twitter, now X, leading people to set up shop on alternative platforms. Mastodon, Post, Pebble (two of which have already shuttered operations) and Spill have been presented as potential replacements, but few aside from Meta’s Threads have achieved the speed of growth Bluesky has reached. As of February 2025, Bluesky has surpassed 30 million users. Its

Topics: app bluesky moderation posts users

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Android TV version roulette: Sony and Google lost control of updates

androidauthority.com Unknown 2025-11-23 20:31:34

Robert Triggs / Android Authority For years and years, Apple fans could hold it over Android users’ heads that their platform was the place to get regular, reliable system updates, keeping their devices operating at their best with all the latest new features. That’s arguably still true when we’re looking at certain Android devices, but the situation has gotten a whole lot better, and if you’re rocking a mainstream handset like a Pixel or a Galaxy, you’ve largely got nothing to worry about when

Topics: android tv tvs updates years

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Blood oxygen monitoring returning to Apple Watch in the US

news.ycombinator.com Unknown 2025-11-23 15:14:35

Apple will introduce a redesigned Blood Oxygen feature for some Apple Watch Series 9, Series 10, and Apple Watch Ultra 2 users through an iPhone and Apple Watch software update coming later today. Users with these models in the U.S. who currently do not have the Blood Oxygen feature will have access to the redesigned Blood Oxygen feature by updating their paired iPhone to iOS 18.6.1 and their Apple Watch to watchOS 11.6.1. Following this update, sensor data from the Blood Oxygen app on Apple Wa

Topics: app apple blood users watch

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Ohio Wants to Create a Database of People Who Skip Job Interviews

gizmodo.com Aj Dellinger 2025-11-23 20:25:29

The job market is tough at the moment for prospective employees, and Ohio has plans to make it even tougher. A bill recently introduced by Republicans in the Ohio House of Representatives would create an online registry of people who fail to show up for a job interview. The proposal, introduced as H.B. 395, specifically targets job applicants who are recipients of unemployment benefits and are required to seek employment to continue receiving the limited compensation provided to them. It would

Topics: employers interview job ohio unemployment

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The New ‘Star Wars’ Lego Special Is Filled With More Impossible Cameos

gizmodo.com Germain Lussier 2025-11-23 20:30:49

From the team that brought us Darth Jar Jar, light side Darth Vader, and a black Millennium Falcon comes Mandalorian Lando, walker-sized Chewbacca, and everyone’s favorite Star Wars rabbit, Jaxxon. Yes, Lego Star Wars: Rebuild the Galaxy is back with four new episodes subtitled “Pieces of the Past.” The original series debuted late last year and followed a simple nerf herder, Sig Greebling (voiced by Stranger Things’ Gaten Matarazzo), and his brother, Dev Greebling (Spider-Man’s Tony Revolori),

Topics: jar lego new star wars

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Our favorite Bluetooth tracker for Android and iOS users just got a useful feature upgrade

zdnet.com Artie Beaty 2025-11-24 00:06:00

Adrian Kingsley-Hughes/ZDNET ZDNET's takeaways Pebblebee announces a new safety feature for Clip trackers. Alert Live sends your real-time location to up to five contacts. The feature costs $2.99 a month or $24.99 a year. Days after announcing that its Clip would be the first tracker to be able to use both Google's and Apple's Find My networks, Pebblebee just revealed another major upgrade for the Clip -- a potentially life-saving one. In July, Clip trackers (which made ZDNET's list of the

Topics: alert clip feature pebblebee trackers

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Incan numerical recordkeeping system may have been widely used

arstechnica.com Unknown 2025-11-24 00:10:09

Inca bureaucrats recorded all the goings-on in their bustling empire using knotted cords called khipu, where the position and order of the knots represented numbers. They relied on the khipu system to track people, taxes, produce, livestock, and products like woven cloth and beer. Because khipu were so vital to the Inca government, and because the khipu itself is such a sophisticated way of recording numbers, colonial writers decided that these tools must be the exclusive knowledge of a very sp

Topics: hair inca khipu numbers person

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Airbnb will allow US users to book stays without paying up front

techcrunch.com Ivan Mehta 2025-11-23 21:00:00

Airbnb has launched a new feature called “Reserve Now, Pay Later” that lets users in the U.S. reserve a property without paying up front, potentially allowing people to cancel their bookings with less hassle if their plans change. The feature is applicable to properties that have a “flexible” or “moderate” cancellation policy. Flexible policies let users cancel their reservation up to 24 hours before they check in, while moderate policies allow for no-fee cancellations until five days before ch

Topics: airbnb flexible later pay users

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Show HN: Zig-DbC – A design by contract library for Zig

news.ycombinator.com Unknown 2025-11-21 17:49:57

Hi everyone, I've made an open-source library for using design by contract (DbC) principles in the Zig programming language. It's called Zig-DbC, and it currently provides the following features: - A simple API to define preconditions, postconditions, and invariants. - Contracts are active in `Debug`, `ReleaseSafe`, and `ReleaseSmall` modes to catch bugs early. - All checks are removed at compile time in `ReleaseFast` mode for zero performance cost. - An optional mode to handle partial sta

Topics: dbc errors github mode zig

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Ask HN: How do you tune your personality to get better at interviews?

news.ycombinator.com Unknown 2025-11-24 05:15:10

I just got declined for a job and it has gotten under my skin much more than it should. (Under the advisement of my lawyer (ChatGPT) I won't say the company's name). It has really annoyed me; I ended up doing three interviews over the course of four weeks, and I'm pretty confident that I got the technical questions right. It could be that my resume is too "jumpy", which is fair, but they could have read my resume before they wasted my time and theirs with three multi-hour interviews. The only

Topics: got interviews personality pretty technical

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Blood Oxygen Monitoring Returning to Apple Watch in the US

news.ycombinator.com Unknown 2025-11-24 03:14:35

Apple will introduce a redesigned Blood Oxygen feature for some Apple Watch Series 9, Series 10, and Apple Watch Ultra 2 users through an iPhone and Apple Watch software update coming later today. Users with these models in the U.S. who currently do not have the Blood Oxygen feature will have access to the redesigned Blood Oxygen feature by updating their paired iPhone to iOS 18.6.1 and their Apple Watch to watchOS 11.6.1. Following this update, sensor data from the Blood Oxygen app on Apple Wa

Topics: app apple blood users watch

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How We’ll Know for Sure If Microplastics Are Destroying Our Health

gizmodo.com Margherita Bassi 2025-11-24 03:35:03

Researchers have found plastic in almost every corner of the human body, from our brains and poop to blood and testicles (at least it’s not making our stomachs crunch yet). Is this plastic contamination bad for us? While the answer to that question might seem like a no-brainer—and certainly no one is crazy enough to theorize that microplastics in breast milk are a good thing—there haven’t been any human trials to confirm that microplastics are detrimental to human health. Some research has simp

Topics: human mnps researchers samples study

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Airbnb will allow US users book stays without paying up front

techcrunch.com Ivan Mehta 2025-11-24 03:00:00

Airbnb has launched a new feature called “Reserve Now, Pay Later” that lets users in the U.S. reserve a property without paying upfront, potentially allowing people to cancel their bookings with less hassle if their plans change. The feature is applicable to properties that have a “flexible” or “moderate” cancellation policy. Flexible policies let users cancel their reservation up to 24 hours before they check-in, while moderate policies allow for no-fee cancellations until five days before che

Topics: airbnb flexible later pay users

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Buzzy AI startup Multiverse creates two of the smallest high-performing models ever

techcrunch.com Julie Bort 2025-11-24 05:00:00

One of Europe’s most prominent AI startups has released two AI models that are so tiny, they have named them after a chicken’s brain and a fly’s brain. Multiverse Computing claims these are the world’s smallest models that are still high-performing and can handle chat, speech, and even reasoning in one case. These new tiny models are intended to be embedded into Internet of Things devices, as well as run locally on smartphones, tablets, and PCs. “We can compress the model so much that they ca

Topics: model models multiverse orús tech

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AWS launches AI agent marketplace with a hackathon and $100k in prizes for developers

zdnet.com Webb Wright 2025-11-24 10:00:13

Kmatta ZDNET's key takeaways The new agents marketplace will launch in beta next month. The companies will also launch an educational hub for IT clients. Developers could win a chunk of $100,000 for building agents. As is often the case with hyped-up new technologies, interest in AI agents among business leaders is soaring -- some CFOs report committing 25% of their AI budgets to them. However, practical understanding of how to implement and use them effectively remains somewhat fuzzy. A ne

Topics: agents ai developers marketplace new

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Inside the Box: Aaron Levie on reinvention at TechCrunch Disrupt 2025

techcrunch.com Techcrunch Events 2025-11-24 10:00:00

There aren’t many founders who can say they’ve steered the same company from scrappy startup to publicly traded platform while keeping their edge — but co-founder and CEO Aaron Levie isn’t most founders. At TechCrunch Disrupt 2025, happening October 27–29 at Moscone West in San Francisco, Levie joins us live on the Disrupt Stage to share how he’s kept Box innovating and relevant through two decades of tech cycles. He’ll unpack what reinvention really looks like inside a public company, what AI

Topics: cloud company founders levie ll

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How to Find Out If Microplastics Are Actually Destroying Our Health

gizmodo.com Margherita Bassi 2025-11-24 15:35:03

Researchers have found plastic in almost every corner of the human body, from our brains and poop to blood and testicles (at least it’s not making our stomachs crunch yet). Is this plastic contamination bad for us? While the answer to that question might seem like a no-brainer—and certainly no one is crazy enough to theorize that microplastics in breast milk are a good thing—there haven’t been any human trials to confirm that microplastics are detrimental to human health. Some research has simp

Topics: human mnps researchers samples study

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Airbnb will allow US users book stays without paying upfront

techcrunch.com Ivan Mehta 2025-11-24 15:00:00

Airbnb has launched a new feature called “Reserve Now, Pay Later” that lets users in the U.S. reserve a property without paying upfront, potentially allowing people to cancel their bookings with less hassle if their plans change. The feature is applicable to properties that have a “flexible” or “moderate” cancellation policy. Flexible policies let users cancel their reservation up to 24 hours before they check-in, while moderate policies allow for no-fee cancellations until five days before che

Topics: airbnb flexible later pay users

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Data brokers just gave us another reason to hate them

9to5mac.com Ben Lovejoy 2025-11-24 20:37:44

If you were holding a competition for the scummiest business model, then data brokers would be very high up the list. These companies make money by buying personal data from app and website owners and selling it to companies who want to spam us. A US Senator has now drawn attention to the latest sketchy practice by these companies: making it harder for us to opt out by hiding that option from search results … The dark world of data brokers Data brokers are companies that buy personal data fro

Topics: brokers data opt privacy search

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I did not expect this Marshall speaker to rival pricier Bose and Sonos models like this

zdnet.com Jada Jones 2025-11-25 08:30:13

Marshall Middleton II ZDNET's key takeaways Marshall's Middleton II Bluetooth speaker is available in Black And Brass or Cream for $330. The Middleton II debuts with meaningful upgrades from its predecessor, spectacular sound, a stylish design, and 30 hours of battery life. Despite its long list of pros, this speaker is considerably more expensive than its competitors with similar features. $329.99 at Amazon $329.99 at B&H Photo-Video $329.99 at Crutchfield more buying choices There's a sea o

Topics: ii marshall middleton sound speaker

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Facial recognition vans to be rolled out across police forces in England

news.ycombinator.com Sky Uk Limited 2025-11-24 06:56:50

The police's use of facial recognition technology is to be significantly expanded in an attempt to catch more offenders, ministers have announced. Under the plans, 10 live facial recognition (LFR) vans will be used by seven forces across England to help identify "sex offenders or people wanted for the most serious crimes", according to Home Secretary Yvette Cooper. Politics Hub: Follow latest updates and analysis The tech, which has been trialled in London and south Wales, will be subject to

Topics: home offenders police said tech

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Nyxt: The Emacs-like web browser

news.ycombinator.com Unknown 2025-11-21 10:46:22

Nyxt: the Emacs-like web browser Did you know...? LWN.net is a subscriber-supported publication; we rely on subscribers to keep the entire operation going. Please help out by buying a subscription and keeping LWN on the net. Nyxt is an unusual web browser that tries to answer the question, "what if Emacs was a good web browser?". Nyxt is not an Emacs package, but a full web browser written in Common Lisp and available under the BSD three-clause license. Its target audience is developers who wa

Topics: browser buffer emacs nyxt users

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Zenobia Pay – A mission to build an alternative to high-fee card networks

news.ycombinator.com Ryan Prendergast 2025-11-25 02:19:37

Why we're open sourcing our payments platform Since Februray, Teddy and I have worked tirelessly on Zenobia Pay. Our mission: build an alternative to high-fee card networks (Visa, Mastercard) using bank transfers as payments. We were super excited by FedNow, the Federal Reserve's instant transfer rail, which inspired us to quit our jobs and do this full time. We thought, let's build QR code payments, like Pix or UPI or AliPay, but for the US. And we did! We built an instant clearing, mobile fir

Topics: customers iteration payments problem risk

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‘Weird Looking’ Otter Poo Reveals an Unexpected Role in Parasite Control

gizmodo.com Ellyn Lapointe 2025-11-25 04:00:17

Receiving an unsolicited photo of worm-infested animal poop would make anyone cringe, unless you’re a parasite expert like Katrina Lohan. When a colleague sent her a snapshot of a watery pile of feces with a fire-engine red worm inside, she was instantly intrigued. “She sent this to me and was like, ‘I think this is a parasite, are you interested in studying river otters?’ And I was like, ‘Ooh, I think that’s a parasite too. And yes, I am,’” Lohan, a parasite ecologist who leads the Coastal Dis

Topics: latrines otters parasites river wise

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You can still save $50 on the JBL Charge 6, our favorite Bluetooth speaker

androidauthority.com Unknown 2025-11-25 05:25:24

Woot recently launched a couple of deals on JBL’s hottest portable speakers, the Flip 7 and the Charge 6. These offers don’t usually last long, and Woot tends to have limited quantities. As a result, the Flip 7 is now out of stock. You can still get the JBL Charge 6 at a $50 discount, though. Buy the JBL Charge 6 Bluetooth speaker for $149.95 ($50 off) This offer is available from Woot, an Amazon-owned deals website. The speaker is in new condition, but is only available in Black. The only down

Topics: charge jbl price speakers woot

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The 55 Best Shows on Disney+ Right Now (August 2025)

wired.com Jennifer M. Wood 2025-11-23 18:00:00

Disney+, if you didn’t know, isn’t just for kids. With its ownership of the Lucasfilm brand and the Marvel titles, the streaming service offers plenty of grown-up content in its bid to compete with Netflix and Amazon—and we’re not just talking movies. Since launching the service, Disney has used the name recognition of Star Wars and Marvel to launch scores of TV shows, from The Mandalorian to Loki. In the list below, we’ve collected the ones we think are the best to watch, from those franchises

Topics: disney like series star wars

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Latest Tech News

What are the real numbers, really? (2024)

Airbnb now lets you ‘pay later’ on vacation rentals

Norway spy chief blames Russian hackers for hijacking dam

Bluesky rolls out massive revamp to policies and Community Guidelines

What is Bluesky? Everything to know about the X competitor

Android TV version roulette: Sony and Google lost control of updates

Blood oxygen monitoring returning to Apple Watch in the US

Ohio Wants to Create a Database of People Who Skip Job Interviews

The New ‘Star Wars’ Lego Special Is Filled With More Impossible Cameos

Our favorite Bluetooth tracker for Android and iOS users just got a useful feature upgrade

Incan numerical recordkeeping system may have been widely used

Airbnb will allow US users to book stays without paying up front

Show HN: Zig-DbC – A design by contract library for Zig

Ask HN: How do you tune your personality to get better at interviews?

Blood Oxygen Monitoring Returning to Apple Watch in the US

How We’ll Know for Sure If Microplastics Are Destroying Our Health

Airbnb will allow US users book stays without paying up front

Buzzy AI startup Multiverse creates two of the smallest high-performing models ever

AWS launches AI agent marketplace with a hackathon and $100k in prizes for developers

Inside the Box: Aaron Levie on reinvention at TechCrunch Disrupt 2025

How to Find Out If Microplastics Are Actually Destroying Our Health

Airbnb will allow US users book stays without paying upfront

Data brokers just gave us another reason to hate them

I did not expect this Marshall speaker to rival pricier Bose and Sonos models like this

Facial recognition vans to be rolled out across police forces in England

Nyxt: The Emacs-like web browser

Zenobia Pay – A mission to build an alternative to high-fee card networks

‘Weird Looking’ Otter Poo Reveals an Unexpected Role in Parasite Control

You can still save $50 on the JBL Charge 6, our favorite Bluetooth speaker

The 55 Best Shows on Disney+ Right Now (August 2025)

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