Julius' Website

Memoir of William Feller by Gian-Carlo Rota: He took umbrage when someone interrupted his lecturing by pointing out some glaring mistake. He became red in the face and raised his voice, often to full shouting range. It was reported that on occasion he had asked the objector to leave the classroom. The expression "proof by intimidation" was coined after Feller's lectures (by Mark Kac). During a Feller lecture, the hearer was made to feel privy to some wondrous secret, one that often vanished by magic as he walked out of the classroom at the end of the period. Like many great teachers, Feller was a bit of a con man.
You can't do REDACTED REDACTED REDACTED REDACTED on Windows. Oh you can? Must be new. For 15 years? Hm, it's probably bad anyway.
Achilles: I wish my wish would not be granted ~DH
Diese Aussage ist nicht beweisbar
“How gullible are you? Is your gullibility located in some "gullibility center" in your brain? Could a neurosurgeon reach in and perform some delicate operation to lower your gullibility, otherwise leaving you alone? If you believe this, you are pretty gullible, and should perhaps consider such an operation.”
“Please, Oh please, publish me in your collection of self-referential sentences!”
Du darfst die Parallelen auf jenem Wege nicht versuchen; ich kenne diesen Weg bis an sein Ende [...] – ich beschwöre Dich bei Gott! Lass die Lehre von den Parallelen in Frieden[...] sie kann Dich um all’ Deine Muße, um die Gesundheit, um Deine Ruhe und um Dein ganzes Lebensglück bringen. - Farkas Bolyai (Mitentwickler der nichteuklidischen Geometrie) an seinen Sohn Janos (1820)
Das Hauptproblem von unserem undichten Dach ist der Regen!
"It's like a mmm without the m sound," said the master. The pupil heard this, and instantly was enlightened.

There is an island upon which a tribe resides. The tribe consists of 1000 people, with various eye colours. Yet, their religion forbids them to know their own eye color, or even to discuss the topic; thus, each resident can (and does) see the eye colors of all other residents, but has no way of discovering his or her own (there are no reflective surfaces). If a tribesperson does discover his or her own eye color, then their religion compels them to commit ritual suicide at noon the following day in the village square for all to witness. All the tribespeople are highly logical and devout, and they all know that each other is also highly logical and devout (and they all know that they all know that each other is highly logical and devout, and so forth).

Of the 1000 islanders, it turns out that 100 of them have blue eyes and 900 of them have brown eyes, although the islanders are not initially aware of these statistics (each of them can of course only see 999 of the 1000 tribespeople).

One day, a blue-eyed foreigner visits to the island and wins the complete trust of the tribe.

One evening, he addresses the entire tribe to thank them for their hospitality.

However, not knowing the customs, the foreigner makes the mistake of mentioning eye color in his address, remarking “how unusual it is to see another blue-eyed person like myself in this region of the world”.

What effect, if anything, does this faux pas have on the tribe?

Ein Abenteurer steht an einer Abzweigung, wo es nur einen richtigen Weg gibt (links oder rechts). Vor der Abzweigung stehen zwei Menschen, einmal Der Der Immer Lügt und Der Der Immer Die Wahrheit Sagt. Unser Abenteurer darf nun einem dieser Menschen eine Frage stellen, kann die beiden aber nicht unterscheiden. Wie findet er den richtigen Weg?

Auf dem Boden liegen einhundert Münzen, welche alle schwarz angestrichen sind. Eine Unterscheidung ob Kopf oder Zahl oben liegt, ist nicht möglich. Angenommen, bei zehn dieser Münzen liegt Kopf oben. Man hat nun die Aufgabe, die Münzen in zwei Stapel zu unterteilen, sodass bei jedem Stapel die selbe Anzahl von Münzen Kopf zeigt.

Es sind acht Gewichte und eine vergleichende Waage mit zwei Waagschalen gegeben. Die Gewichte sind optisch ununterscheidbar. Sieben der Gewichte wiegen gleich viel, das achte ist schwerer. Wie oft muss man maximal wiegen, um das schwerere Gewicht eindeutig zu identifizieren?

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