The „Sleeping Beauty“ Paradox
admin I learned about this problem from a video of „Veritasium“. The story goes like this: A beauty falls asleep. Then a coin is flipped. On each wake up, the beauty…
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A Little bit of Duplo-Mathematics
This construction works without stretching or bending. Everything is sitting exactly on the studs. Here is a mathematical abstraction of the situation. This has been observed by a friend who…
Java-Kurs – Modernisierung
Ich habe meinen Java-Kurs modernisiert. Die erste Version entstand ja kurz nach dem Erscheinen von brauchbaren Java-Versionen. Es war dringend nötig, moderne Techniken genauer zu erklären. Insbesondere wird kein AWT…
„Restricted Choice“ in Bridge
The principle of „restricted choice“ in the card game Bridge made it to Wikipedia. The article is somewhat mysterious, however, and obscures what is really happening. I never infer with…
The Two Envelopes Problem
This problem is at least half a century old, and most likely a lot older. It can be found in a 1953 book by Maurice Kraitchik which is the oldest…
Another nice Math Problem
Published in the old blog in 1022/08/16 I recently got recommended a YouTube video by MindYourDecisions with the following problem: Which number doubles when the last digit becomes the first…
ChatGPT Babble
I asked ChatGPT to give a proof of the Theorem of Pythagoras. Here is what it came up with. To understand how this could happen we should be aware that…
Problems with Infinity
Another old blog entry, again about the foundations of math. I recently came across one of the many videos on Youtube dealing with the problem of infinity. At the end…
The Ethics of AI
I wrote this text for the old blog some years ago. The topic of AI and its ethics is now even more urgent. So, I repeat the text in the…
Corona – Revisited
Dieser Beitrag ist von 2021, also von vor 2 Jahren. Für mich ist das Lesen dieses alten Textes ein Test, ob ich ihn heute noch genauso schreiben würde. Ich denke…