Technologies

Google Doodle honors father of fuzzy logic Lotfi Zadeh

The computer scientist and electrical engineer’s concept used mathematics to mimic how people see the world.

In 1964, while contemplating how to program software for handwriting recognition, a mathematician, computer scientist and electrical engineer named Lotfi Zadeh conceived of a new mathematical technique. His fuzzy logic theory offered an alternative to the rigid yes-no logic, in an attempt to mimic how people see the world.

To honor his controversial innovation, Google on Tuesday dedicated its Doodle to Zadeh on the 57th anniversary of the concept’s creation. The Doodle demonstrates his concept, showing that an alternative to the black-or-white Boolean logic, which determines the membership of a given class based on one (yes) or zero (no). His theory provided a means for calculating intermediate values between yes and no.

Looking for Cyber Monday deals?

Don’t miss a minute of the action with our coverage of the best Cyber Monday 2021 deals.

Born on Feb. 4, 1921, in Azerbaijan, Zadeh moved with his family at the age of 10 to Iran, where he graduated with a science degree from the University of Tehran. He earned enough money selling goods to the US Army during World War II to move to continue his education in the US, earning a master’s degree in electrical engineering from the Massachusetts Institute of Technology in 1946 and a Ph.D. from Columbia in 1949.

While serving as an electrical engineer professor at the University of California, Berkeley, Zadeh proposed using imprecise data to solve problems that may have more than one solution. His 1965 paper Fuzzy Sets — Information and Control sought to use mathematics to define human concepts such as «slightly,» «tall» or «beautiful» and other concepts that have ambiguous meanings, thus creating a set theory where elements have a degree of membership.

Zadeh’s theory proved controversial, with many in academic circles ridiculing and attacking it, because it challenged other forms of mathematics and used unusual terminology.

«My paper was an object of indifference, skepticism and derision,» he wrote in 2015. «A prominent school of thought claimed that fuzzy set theory is probability theory in disguise.

«In part, many negative reactions to my papers reflected the fact that the word «fuzzy» has pejorative connotations,» he wrote.

Despite the criticism, fuzzy logic became popular with Japanese manufacturers and played a prominent role in everything from medicine to economic modelling to antilock braking and dishwashers, to name just a few.

In recognition of his achievement, Zadeh received dozens of engineering and academic awards, including 24 honorary doctorates.

Zadeh died in 2017 at the age of 96.

Technologies

iPhone 17 Preorders Spike and Overall Phone Sales Aren’t Slowing Down Despite Tariffs

Global smartphone shipments saw a notable increase in the third quarter of 2025. Plus, preorders for Apple’s new iPhone 17 beat out the iPhone 16.

Despite tariffs and market uncertainty, global smartphone shipments increased 2.6% in the third quarter of 2025, compared to the same time last year, according to the International Data Corporation. Additionally, preorders for the iPhone 17, which launched last month, outpaced last year’s iPhone 16.

These increased sales include premium phones like the latest iPhones and Samsung foldables, suggesting yet again that pricier phones still sell in periods of economic strain. It’s a remarkable achievement, says IDC senior research director Nabila Popal, citing shrewd financing options as the reason people keep buying these high-end phones, which cost anywhere from $800 to nearly $2,000.

«[Phone makers] have mastered the art of innovation not only in hardware and software to entice upgrades but also in removing purchase friction. They have flawlessly combined cutting-edge devices with innovative financing models and aggressive trade-in programs that make the upgrading decision a ‘no-brainer’ for consumers,» Popal said in an IDC press release.

Apple sold 58.6 million iPhones this quarter, an increase of 2.9% over the same period in 2024, with more preorders for the iPhone 17 series than its predecessor. But Samsung wasn’t far behind, with its Galaxy Z Fold 7 and Galaxy Z Flip 7 selling better than all of the company’s prior foldables. The company still reigns atop the phone market with 61.4 million phones sold, representing 19% of the market in the third quarter of this year — an increase of 6.3% from the same period last year. Meanwhile, Apple lands slightly behind Samsung with 18.2% market share this quarter.

The other phone makers trailing Apple and Samsung are, in order: Xiaomi, with 13.5% of the market; Transsion, with 9%; and Vivo with 8.9%. The remaining companies in the phones industry, from Chinese stalwarts like Oppo and Honor to Motorola and Google, make up the remaining 31.4% of the market for the quarter. All told, 322.7 million phones were sold, up from 314.6 million in the third quarter of 2024, according to IDC.

IDC’s findings for the third quarter continue the small but steady growth of phone sales over the year, including a modest 1% increase in the preceding three months — which includes the April deadline when President Donald Trump unveiled sweeping tariffs. In the second quarter, IDC cited midrange devices like Samsung’s Galaxy A36 and other phones that started incorporating AI. But even persistent tariffs haven’t slowed down people’s appetites for pricier phones in the third quarter.

Technologies

Today’s NYT Mini Crossword Answers for Tuesday, Oct. 14

Here are the answers for The New York Times Mini Crossword for Oct. 14.

Looking for the most recent Mini Crossword answer? Click here for today’s Mini Crossword hints, as well as our daily answers and hints for The New York Times Wordle, Strands, Connections and Connections: Sports Edition puzzles.

Today’s Mini Crossword has an odd vertical shape, with an extra Across clue, and only four Down clues. The clues are not terribly difficult, but one or two could be tricky. Read on if you need the answers. And if you could use some hints and guidance for daily solving, check out our Mini Crossword tips.

If you’re looking for today’s Wordle, Connections, Connections: Sports Edition and Strands answers, you can visit CNET’s NYT puzzle hints page.

Read more: Tips and Tricks for Solving The New York Times Mini Crossword

Let’s get to those Mini Crossword clues and answers.