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100 years of Zermelo's axiom of choice: What was the problem with it? (2006)

news.ycombinator.com Per Martin-Löf 2026-03-20 18:46:15

100 years of Zermelo’s axiom of choice: What was the problem with it? Per Martin-Löf 2006 WORK IN PROGRESS Cantor conceived set theory in a sequence of six papers published in the Mathematische Annalen during the five year period 1879–1884. In the fifth of these papers, published in 1883, he stated as a law of thought (Denkgesetz) that every set can be well-ordered or, more precisely, that it is always possible to bring any well-defined set into the form of a well-ordered set. Now to call it

Topics: axiom choice set sional theory

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This iOS 26 Feature Might Keep Me From Switching Back to Pixel

cnet.com See Full Bio 2026-03-20 18:00:03

I switched from a Google Pixel 3 XL in 2021 to Apple's iPhone 12 Pro Max, and in the years since, I've dearly missed Google's Hold For Me. This feature is so useful in saving me from the misery of listening to awful hold music whenever I needed to call up a business, my health insurance provider, my cellphone carrier or any of the other myriad adulting tasks that still require speaking with a representative. Instead, the Google feature would helpfully silence my phone while keeping the call acti

Topics: apple feature google hold pixel

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Early 2010s Android phones were the golden era, you can’t change my mind

androidauthority.com Unknown 2026-03-20 20:30:00

Robert Triggs / Android Authority After recently reminiscing about my favorite camera phones, it occurred to me that my fondest time writing about and playing around with smartphones all happened in a rather short period of time — the early 2010s. Of course, there were great phones before then and plenty of technically superior ones after that sliver of time. However, I still think 2010-2015 represents the most exciting time to be a smartphone aficionado, and not just because of the hardware.

Topics: android like phone phones today

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5 apps I install on every new phone

androidauthority.com Unknown 2026-03-20 22:00:23

Saeed Wazir / Android Authority I’ve tested countless smartphones, and the excitement of opening the box and taking the stickers off a new device never gets old. I love holding the phone for the first time to see how it fits in my hand, and can’t wait to get past the pesky initial setup to test its capabilities. It usually takes a few minutes, and then I’m ready to load my apps. These days, I have certain go-to apps that I install first on any new Android phone I get. To me, they are the most

Topics: android app features phone use

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Marvel’s ‘Midnight Suns’ Movie Might Have Found a New Leader

gizmodo.com James Whitbrook 2026-03-20 22:00:02

Meet the expansive supporting cast of The Life of Chuck. Netflix teases the style of its Ghostbusters animated series. Plus, what’s coming on Murderbot and Wednesday. To me, my spoilers! Midnight Suns A new report from scooper Daniel Richtman (via Comic Book) suggests that Marvel is pivoting its Midnight Suns project to be built around Ghost Rider. Incidents Around the House Deadline reports Dichen Lachman has joined the cast of Rob Savage’s upcoming film adaptation of Josh Malerman’s supern

Topics: chuck ghostbusters life new season

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What Is Cellular Internet And Is It A Reliable Broadband Connection?

cnet.com See Full Bio 2026-03-20 21:00:00

The latest report from the American Customer Satisfaction Index highlights that for the first time ever, a non-fiber internet provider, T-Mobile 5G Home Internet, matched in score with AT&T Fiber. In other words, customers are just as happy with a cellular internet service over a wired one through fiber. Cellular internet doesn't deliver fast speeds in comparison to fiber. However, it could still be a lifeline for disconnected communities in rural areas. According to the latest Pew Research Cent

Topics: cellular home internet mobile verizon

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Shooting the Moon: Art of Lunar Photography (2023)

news.ycombinator.com Karl Perera Ma 2026-03-20 08:07:25

The popularity of shooting the moon remains as strong as ever. Whatever the current phase of the moon, it is an impressive object to photograph. In my own journey into astrophotography, I have taken many pictures of the moon with a camera or a through a telescope. It is an easy target, so beginners can capture it without the use of tracking. I will explain how to begin shooting the moon so that you get amazing pictures of your own. So, grab your camera, step into the realm of lunar photography,

Topics: camera moon need photography shooting

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Just Like Black Friday, Amazon Gives You a Free Arlo 2K Security Camera When You Buy One

gizmodo.com Gizmodo Deals 2026-03-21 02:25:16

Keeping your home or apartment safe is more important than ever and investing in high-quality security equipment is a smart move for peace of mind. Arlo has established itself as a global leader in home security and it is popular for its reliable and feature-rich cameras. While Arlo products are usually on the pricier side, every now and then, Amazon offers deals so good they’re hard to ignore. F or a limited time only, the Arlo Essential Security Camera 2K (2nd Gen) is available for an all-tim

Topics: amazon arlo camera cameras home

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Beats Solo 4 Headphones Are 50% Off, Cheaper Than Last Prime Day While Stock Lasts on Amazon

gizmodo.com Jason Coles 2026-03-21 02:40:43

Modern life can be incredibly hectic, and sometimes it’s nice to just zone out properly and enjoy some music, a podcast, or an audio book. It can be really hard to do that when you’re out and about though, which is why having some really good headphones is so important. Of the options out there, and there really are a lot, one of the most reliable brands around is Beats. See at Amazon You can currently get your hands on Beats Solo 4 headphones for just $100, which is a massive 50% off the norm

Topics: audio best headphones just really

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It could be 2026 before all your Thread border routers work together

theverge.com Jennifer Pattison Tuohy 2026-03-20 12:45:12

There’s finally some good news for anyone battling multiple Thread networks while using Matter devices in their smart home — as long as you’re the patient type. According to Matter Alpha, the tvOS 26 beta announced at WWDC this week adds Thread 1.4 to Apple TVs. And, as Apple’s smart speakers use a fork of tvOS, it’s likely that the upcoming HomePod OS 26 will include 1.4 as well. Thread 1.4 brings a standard way for Thread border routers, such as Apple TVs and HomePods, to join an existing Thr

Topics: apple border devices home thread

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Pixel Camera update may have killed this handy sharing feature

androidauthority.com Unknown 2026-03-21 08:30:05

Hadlee Simons / Android Authority TL;DR Google has pushed out a new Pixel Camera update to the Play Store. The update seems to remove the Social Share shortcut, which was introduced back in 2019. This menu pops up for a few seconds after taking a photo, allowing you to quickly share your snap via a selection of apps. Google introduced a Social Share shortcut to the Pixel Camera app back in 2019’s Pixel 4 series. This sharing menu would pop up immediately after taking a photo on your Pixel ph

Topics: google pixel share shortcut social

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Early 2010’s Android phones were the golden era, you can’t change my mind

androidauthority.com Unknown 2026-03-21 11:30:00

Robert Triggs / Android Authority After recently reminiscing about my favorite camera phones, it occurred to me that my fondest time writing about and playing around with smartphones all happened in a rather short period of time — the early 2010s. Of course, there were great phones before then and plenty of technically superior ones after that sliver of time. However, I still think 2010-2015 represents the most exciting time to be a smartphone aficionado, and not just because of the hardware.

Topics: android like phone phones today

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First look: The Pixel Camera is next to get a Material 3 Expressive redesign (APK teardown)

androidauthority.com Unknown 2026-03-21 11:54:53

Ryan Haines / Android Authority Ryan Haines / Android Authority TL;DR An Android Authority teardown has revealed that the Pixel Camera app will receive a redesign. The redesign currently extends to the settings menu and offers an overhaul in line with the Material 3 Expressive design language. This comes after we discovered a slew of other Google apps with an overhauled visual style. Google just launched Android 16, but the platform’s big visual overhaul based on Material 3 Expressive is co

Topics: android app authority google ui

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The best wireless chargers for 2025

engadget.com Unknown 2026-03-21 09:00:35

Engadget has been testing and reviewing consumer tech since 2004. Our stories may include affiliate links; if you buy something through a link, we may earn a commission. Read more about how we evaluate products . If you’ve upgraded your phone recently, there’s a good chance it supports wireless charging. Battery life can be one of the first things to deteriorate as your phone ages, so you’ll need quick and easy ways to power up wherever you are. You may not always be able to have a cable on you

Topics: charger charging phone power wireless

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The Morning After: Our verdict on the Switch 2

engadget.com Unknown 2026-03-21 11:15:54

You forget how much of a hit, how much of a turnaround, the Nintendo Switch turned out to be. After the major wobble (and baffling form factor) of the Wii U, Nintendo came back with a hybrid console that would replace and fuse its handheld and home console lineages. The console had no right being as playable (and enjoyable) as it was. Now, finally, its successor has landed . And for once, Nintendo’s calling its new console a sequel. Nintendo took the best features from the original and upgraded

Topics: bike console like nintendo phone

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The latest Google Pixel 6a update may limit your battery - but you'll be glad to know why

zdnet.com Artie Beaty 2026-03-21 11:00:15

Jason Cipriani/ZDNET At least for one device, the battery problems that have plagued some Pixel phones may be ending – but the fix is coming at a price. According to Alex Moriconi, communications manager at Google (Pixel phones), Google will soon release an update that will purposefully limit the battery capacity of some Pixel 6a phones, hopefully also limiting issues with overheating. Also: 4 exciting features Google just announced for Android phones (and why they're a big deal) In an email

Topics: battery google issues phones pixel

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I wore the Whoop 5.0 for a month - it gave me the best of Oura Ring, Apple Watch, and more

zdnet.com Nina Raemont 2026-03-21 11:00:25

Nina Raemont/ZDNET Four years after the launch of the Whoop 4.0, Whoop finally launched two new health trackers, the Whoop 5.0 and the Whoop MG. last month. While Whoop is mainly considered a health tracker used by pro athletes and fitness enthusiasts, the launch of the new wearables caters to a more general, health-minded customer base willing to pay a high price for cutting-edge health tech. Also: Garmin unveils its Apple Ultra Watch 2 competitor, the Venu X1 The latest health bands track

Topics: blood feature health monitoring whoop

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I put my Bose QuietComfort Ultra away within hours of testing these headphones

zdnet.com Jada Jones 2026-03-21 11:30:15

ZDNET's key takeaways The Bowers & Wilkins Px7 S3 are available for $449 in Anthracite Black, Canvas White, and Indigo Blue. These headphones provide a listening experience and design profile unlike any other headphones in the same price range. Although these are the best sounding and looking headphones at this price, they fall behind their competitors at noise cancellation. View now at Bowers & Wilkins View now at Crutchfield more buying choices When shopping for a new pair of headphones, it

Topics: bowers headphones noise px7 s3

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15 Best Mobile Games for iOS and Android

wired.com Simon Hill 2026-03-21 11:00:00

Don’t doomscroll through more depressing news—use that phone to lift your mood instead. The best mobile games will bring a little joy to your day, whether you’re killing time on the commute or chilling on the couch. These games are all addictive slices of gaming pleasure we have been gorging on for years. As smartphone screens and processing power have grown, the lines between mobile gaming and just gaming have blurred, and you can find tons of great mobile games that have been ported or adapte

Topics: best games gaming mobile phone

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Show HN: GetHooky – a language-agnostic Git hook manager

news.ycombinator.com Unknown 2026-03-21 08:31:44

The art of forgetting to run the linter isn't old - wise old programmer, 2025 Ever forgot to run the linter before doing a git push to production? Not anymore! GetHooky will make sure you don't screw up again! Automatically test and lint your code upon doing a commit or git push! Most tools for git hook mangement are mostly language specific and work for specific languages only, or you either have to do crazy configurations. But with GetHooky, all you have to do is, install once, use as ma

Topics: gethooky git language linter work

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How Much Will the iPhone 17 Cost? Is a $2,400 Tariff-Fueled Price Tag Realistic?

cnet.com See Full Bio 2026-03-21 04:12:00

There isn't just one thing deciding how much you'll pay for the new iPhone when it's released this fall. No, there are many, many reasons you'll likely pay a higher price for the rumored iPhone 17. After a long, dizzying past few months of President Donald Trump raising, lowering and pausing tariffs on various countries, he announced this week that he'd made a deal with China, setting the effective tariff rate to 55%. He also mentioned Wednesday that he'd be open to extending the July 8 deadlin

Topics: apple iphone price tariff tariffs

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Your Wear OS smartwatch will now warn you when an earthquake is about to happen

androidauthority.com Unknown 2026-03-21 11:12:17

Joe Maring / Android Authority TL;DR Google’s Android earthquake alerts are expanding from phones to Wear OS smartwatches, providing warnings about seismic activity directly on your wrist. Rolling out with Google Play Services version 25.21, these wearable alerts will show the quake’s estimated magnitude and distance to the epicenter. This is a crucial addition for smartwatch users, especially those with cellular models who may leave their phones behind but still need to receive timely warnin

Topics: alerts android earthquake google phones

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Strap in for a Thrilling Glimpse of Universal’s High-Speed ‘Fast & Furious’ Coaster

gizmodo.com Sabina Graves 2026-03-21 11:00:45

Giving a new name to family ride at Universal Studios Hollywood will be the theme park’s first major thrill rollercoaster inspired by The Fast and the Furious franchise. Height requirements are pending, sorry kids! The West Coast’s love for adrenaline-packed car races and theme parks combines in Fast & Furious: Hollywood Drift—Universal’s fastest “drifting” coaster with a speed of 72 MPH. The ride is set to open sometime next year, and construction is well underway for it with the tracks huggin

Topics: coaster fast films hollywood ride

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Carl Pei finally explains why Nothing bought Essential

androidauthority.com Unknown 2026-03-21 19:46:55

C. Scott Brown / Android Authority TL;DR Nothing’s CEO, Carl Pei, took part in a video interview where he explained why he bought Essential in 2021. He said he bought the defunct company for its name, not its tech. Essential only produced one phone before closing down. Nothing is back in the news with the Nothing Phone 3 and a new set of headphones coming this summer. But Carl Pei wants to talk about something different. Nothing’s CEO recently opened up about why the company acquired Essenti

Topics: company essential pei phone video

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Today's Wordle Hints, Answer and Help for June 13, #1455

cnet.com See Full Bio 2026-03-22 02:00:03

Gael Cooper CNET editor Gael Fashingbauer Cooper, a journalist and pop-culture junkie, is co-author of "Whatever Happened to Pudding Pops? The Lost Toys, Tastes and Trends of the '70s and '80s," as well as "The Totally Sweet '90s." She's been a journalist since 1989, working at Mpls.St.Paul Magazine, Twin Cities Sidewalk, the Minneapolis Star Tribune, and NBC News Digital. She's Gen X in birthdate, word and deed. If Marathon candy bars ever come back, she'll be first in line.

Topics: 1989 author cooper gael journalist

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‘Sunshine’ and ‘Event Horizon’ Bring Deep-Space Madness to Gruesome Heights

gizmodo.com Cheryl Eddy 2026-03-22 07:00:03

Millions of miles from Earth, a spaceship receives a distress call—so its crew changes course to investigate. Disaster follows. That’s famously the set-up for Alien, but it’s used often in sci-fi stories, including 1997’s Event Horizon and 2007’s Sunshine. Sunshine’s been in the news since director Danny Boyle revealed he’d originally hoped it would kick off a trilogy; that never happened, because like Event Horizon, it flopped at the box office. But both Sunshine and Event Horizon have since e

Topics: crew event horizon icarus sunshine

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Best Streaming Services of 2025

cnet.com See Full Bio 2026-03-22 07:09:00

There's a reason why Netflix has become shorthand for streaming in general. The service has evolved into a must-have streaming app, even if you choose to pay extra to share your password. With big originals like Squid Game, Wednesday and Stranger Things dropping new seasons in 2025, and award-winning titles, it's giving us the closest thing we have to watercooler conversations these days. Netflix has a dependable and user-friendly interface while offering a vast range of features and a constant

Topics: like netflix new shows titles

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All the Android features Apple announced at WWDC

theverge.com Allison Johnson 2026-03-22 07:00:00

is a reviewer with 10 years of experience writing about consumer tech. She has a special interest in mobile photography and telecom. Previously, she worked at DPReview. Apple announcing Android features years after Google shipped them is a tale as old as time, but that doesn’t make it any less fun to point out whenever it happens. This year’s WWDC felt especially Android-y — not helped by Siri essentially sitting this year’s announcements out while Apple put its new Liquid Glass design language

Topics: apple ios phones screen version

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Hotel management platform Canary nabs $80M Series D from BPC, YC, Insight Partners

techcrunch.com Dominic-Madori Davis 2026-03-22 05:30:00

Canary, the hotel guest management platform, announced Thursday the raise of an $80 million Series D in a round led by Brighton Park Capital. Harman Singh Narula and childhood friend SJ Sawhney launched the company in 2018 to help hotels digitize and automate guest interactions. The company has raised nearly $180 million in funding to date. “Running a hotel is increasingly complex,” Singh Narula told TechCrunch. “Guest expectations are constantly evolving, and staffing shortages continue to st

Topics: canary guest hotel said singh

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Nothing sees the Phone 3 as the ‘right product’ to start scaling up in the US

androidauthority.com Unknown 2026-03-22 10:38:09

TL;DR Nothing has confirmed the Phone 3 will be available in the US. The Phone 3 will support AT&T and T-Mobile. The handset will also be available in Canada. Nothing is preparing to launch its next flagship phone — the Phone 3. The new handset will obviously be available in the UK, where the company’s headquarters are located, but will it also come to the US? We now have a definitive answer and a few extra details. Nothing has told TechCrunch that it plans to launch the Phone 3 in the US. W

Topics: available company handset launch phone

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Latest Tech News

100 years of Zermelo's axiom of choice: What was the problem with it? (2006)

This iOS 26 Feature Might Keep Me From Switching Back to Pixel

Early 2010s Android phones were the golden era, you can’t change my mind

5 apps I install on every new phone

Marvel’s ‘Midnight Suns’ Movie Might Have Found a New Leader

What Is Cellular Internet And Is It A Reliable Broadband Connection?

Shooting the Moon: Art of Lunar Photography (2023)

Just Like Black Friday, Amazon Gives You a Free Arlo 2K Security Camera When You Buy One

Beats Solo 4 Headphones Are 50% Off, Cheaper Than Last Prime Day While Stock Lasts on Amazon

It could be 2026 before all your Thread border routers work together

Pixel Camera update may have killed this handy sharing feature

Early 2010’s Android phones were the golden era, you can’t change my mind

First look: The Pixel Camera is next to get a Material 3 Expressive redesign (APK teardown)

The best wireless chargers for 2025

The Morning After: Our verdict on the Switch 2

The latest Google Pixel 6a update may limit your battery - but you'll be glad to know why

I wore the Whoop 5.0 for a month - it gave me the best of Oura Ring, Apple Watch, and more

I put my Bose QuietComfort Ultra away within hours of testing these headphones

15 Best Mobile Games for iOS and Android

Show HN: GetHooky – a language-agnostic Git hook manager

How Much Will the iPhone 17 Cost? Is a $2,400 Tariff-Fueled Price Tag Realistic?

Your Wear OS smartwatch will now warn you when an earthquake is about to happen

Strap in for a Thrilling Glimpse of Universal’s High-Speed ‘Fast & Furious’ Coaster

Carl Pei finally explains why Nothing bought Essential

Today's Wordle Hints, Answer and Help for June 13, #1455

‘Sunshine’ and ‘Event Horizon’ Bring Deep-Space Madness to Gruesome Heights

Best Streaming Services of 2025

All the Android features Apple announced at WWDC

Hotel management platform Canary nabs $80M Series D from BPC, YC, Insight Partners

Nothing sees the Phone 3 as the ‘right product’ to start scaling up in the US

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