This expository paper, aimed at the reader without much background in set theory or logic, gives an overview of Cohen's proof (via forcing) of the independence of the continuum hypothesis. It emphasizes the broad outlines and the intuitive motivation while omitting most of the proofs. The reader must of course consult standard textbooks for the missing details, but this article provides a map of the forest so that the beginner will not get lost while forging through the trees.
This expository paper, aimed at the reader without much background in set theory or logic, gives an overview of Cohen's proof (via forcing) of the independence of the continuum hypothesis. It emphasizes the broad outlines and the intuitive motivation while omitting most of the proofs. The reader must of course consult standard textbooks for the missing details, but this article provides a map of the forest so that the beginner will not get lost while forging through the trees.
The last couple days have exemplified that uncertainty. On Thursday, news emerged that talks in Turkey between the Russia and Ukraine yielded no positive result. But on Friday, Reuters reported that Russian President Vladimir Putin said there had been some “positive shifts” in talks between the two sides. Multiple pro-Kremlin media figures circulated the post's false claims, including prominent Russian journalist Vladimir Soloviev and the state-controlled Russian outlet RT, according to the DFR Lab's report. Ukrainian President Volodymyr Zelensky said in a video message on Tuesday that Ukrainian forces "destroy the invaders wherever we can." Such instructions could actually endanger people — citizens receive air strike warnings via smartphone alerts. In addition, Telegram now supports the use of third-party streaming tools like OBS Studio and XSplit to broadcast live video, allowing users to add overlays and multi-screen layouts for a more professional look.
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