Germany’s Jewish Mathematicians on the Eve of the Holocaust

Born in Germany in 1891, Abraham Fraenkel embarked on a highly successful career as a mathematician. In the 1960s, while living in Israel, he wrote a memoir about his life up until the early years of the Third Reich. At one point he reminisces about some of the outstanding mathematicians he knew in pre-World War II Germany and their reactions to the changing climate there, including one of the rare Gentile professors who stood up for Jewish colleagues:

In his time, David Hilbert (1862–1943) was the most significant mathematician in the world. . . . Students flocked to him from all over Europe and the United States. . . . Hilbert always remained free of all national and racist prejudices. After the turn of the 20th century, he had a large number of Jewish students, both in absolute and relative terms. In his own working life, he was greatly influenced by two Jews, Adolf Hurwitz and Hermann Minkowski. His authority and tenacity managed twice to break through the [pre-World War I] prejudice in the Prussian Ministry of Education and Cultural Affairs against appointing Jews to full professorships: Minkowski in 1902 and Edmund “Yechezkel” Landau in 1909. . . .

Hilbert’ s response to a question [posed to him by] Bernhard Rust, the Nazi minister for science, education, and popular culture, was typical. At a banquet in 1934 in Göttingen, Rust asked: “Is it really true, Herr Professor, that [the mathematical institute you direct] suffered so much from the departure of the Jews and their friends?” to which Hilbert replied, in his characteristic East Prussian dialect: “Suffered? No, it hasn’t suffered, Herr Minister. It simply doesn’t exist anymore!”

Read more at Tablet

More about: German Jewry, History & Ideas, Holocaust, Mathematics

Hizballah Is Learning Israel’s Weak Spots

On Tuesday, a Hizballah drone attack injured three people in northern Israel. The next day, another attack, targeting an IDF base, injured eighteen people, six of them seriously, in Arab al-Amshe, also in the north. This second attack involved the simultaneous use of drones carrying explosives and guided antitank missiles. In both cases, the defensive systems that performed so successfully last weekend failed to stop the drones and missiles. Ron Ben-Yishai has a straightforward explanation as to why: the Lebanon-backed terrorist group is getting better at evading Israel defenses. He explains the three basis systems used to pilot these unmanned aircraft, and their practical effects:

These systems allow drones to act similarly to fighter jets, using “dead zones”—areas not visible to radar or other optical detection—to approach targets. They fly low initially, then ascend just before crashing and detonating on the target. The terrain of southern Lebanon is particularly conducive to such attacks.

But this requires skills that the terror group has honed over months of fighting against Israel. The latest attacks involved a large drone capable of carrying over 50 kg (110 lbs.) of explosives. The terrorists have likely analyzed Israel’s alert and interception systems, recognizing that shooting down their drones requires early detection to allow sufficient time for launching interceptors.

The IDF tries to detect any incoming drones on its radar, as it had done prior to the war. Despite Hizballah’s learning curve, the IDF’s technological edge offers an advantage. However, the military must recognize that any measure it takes is quickly observed and analyzed, and even the most effective defenses can be incomplete. The terrain near the Lebanon-Israel border continues to pose a challenge, necessitating technological solutions and significant financial investment.

Read more at Ynet

More about: Hizballah, Iron Dome, Israeli Security