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What are the real numbers, really? (2024)

news.ycombinator.com Joel David Hamkins 2025-11-22 09:03:13

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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‘Predator: Badlands’ Just Feasted on Its Comic-Con Audience

gizmodo.com Germain Lussier 2025-12-29 04:45:26

After the new Predator: Badlands trailer Fox released earlier this week, a Hall H panel at San Diego Comic-Con seemed unnecessary. That trailer had incredible action, massive creatures, super high-tech weapons, and Elle Fanning as an android being worn as a backpack. We are fully seated. What more could a fan of the franchise want? Well, apparently, a lot more, as Badlands director Dan Trachtenberg was joined by Fanning and others to show fans even more from their November 7 film. Fifteen minut

Topics: brother dek father film predator
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Indeed and Glassdoor are cutting more than 1,000 jobs

engadget.com Unknown 2026-01-29 04:01:28

Job-hunting platforms Indeed and Glassdoor are cutting their workforce, and it may be thanks to good old artificial intelligence. About 1,300 jobs from the companies will be eliminated, mostly in two departments: research and development, and people and sustainability. There will also be some executive shuffles, including the exit of Glassdoor CEO Christian Sutherland-Wong. Both services are owned by Japan-based Recruit Holdings Co. and its President and CEO Hisayuki "Deko" Idekoba announced th

Topics: ai ceo glassdoor idekoba job
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Weird-shaped notebooks make me want to write again

theverge.com Andru Marino 2026-03-07 08:00:00

Andru Marino is an audio and video producer at The Verge. “I make videos on our YouTube / TikTok / Instagram channels, and have produced our podcasts like Vergecast, Decoder, and Why’d You Push That Button?” He also keeps a lot of notes, and his latest favorite places to keep them are the Triangle and Sidekick notebooks. I asked him about them. Where did you first hear about these notebooks? I don’t really remember when I first saw the Triangle Notebook. It was probably an Instagram ad. I had

Topics: doodle like notebook sidekick triangle
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