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April 10, 2026
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"A peculiar beauty reigns in the realm of mathematics, a beauty which resembles not so much the beauty of art as the beauty of nature and which affects the reflective mind, which has acquired an appreciation of it, very much like the latter."
"Dirichlet was not satisfied to study Gauss' "Disquisitiones arithmeticae" once or several times, but continued throughout life to keep in close touch with the wealth of deep mathematical thoughts which it contains by perusing it again and again. For this reason the book was never placed on the shelf but had an abiding place on the table at which he worked....Dirichlet was the first one, who not only fully understood this work, but made it also accessible to others."
"Die Warheit zu sagen, so hÜret oder siehet man selten einen Streit swischen ihnen; es trauen die fremdesten Leute einander mehr, als in Europa die Bekannten. Man ist auch viel aufrichtiger und liebreicher gegeneinander als in Teutschland, darum leben unsere Americaner viel ruhiger und friedsamer als die Europäer zusammen, und dieses alles macht die Freyheit, worinnen alle einander gleich sind."
"...the days of intellectual charlatanry in Europe seem to be numbered."
"Koeppenâs Buddha was a revolutionary; indeed, the author argues: ââThere is really no question that if the Indian people had not already been completely stripped of their religion and robbed of all courage and zeal for life by theological-priestly vampirism and earthly despotism, the call of liberation and the preaching of the equality of all men which Cakjamuni [Buddha] unleashed would necessarily have led to a rebellion of the lowest classes just as Lutherâs preaching of Christian freedom [led to] the peasant revolts.â"
"Human religiosity can go far astray, when it is [articulated in the form of] a church."
"When one's existence which has seemed quite secure suddenly melts away. . . when every security fails and every support gives wayâthen one stands face to face with the Eternal and confronts Him without protection and with fearful directness. . . When imprisonment has lasted a certain time it ceases to be punishment. One has removed oneâs self from ordinary life and slowly begins to find a new standard."
"How can I not hesitate before accepting? Are we sufficiently aware, against the background of the darkest chapter in German history, of how guilty we are for rescuing no more than a tiny droplet out of the endless sea of despair of that period? Righteous can therefore have no other meaning than the attempt, the obligation, to do what is right and to live humanly even during times of inhumanity."
"I am fully conscious of the fact that my late husband and I did nothing special; we simply tried to remain human in the midst of inhumanity."
"It is the snowdrop on the hard German snow. It announces the German spring. It is a real consolation to every German who was ready to doubt whether the German soul would ever escape from the enchantment in which its pursuit of Power seemed to have inextricably involved it. That, in the midst of anger and hatred, misery and despair, this German flower could bloom is not only a glad hope for those to whom true Germanism is their spiritual home, but for other countries which feared that the de-Germanised German had come to stay."
"Good art inspires; Good design motivates."
"During the winter and spring of 1933, the Nazis made a strenuous effort to present themselves as in harmony with conservative German and Prussian traditions, or even as the natural result and outgrowth of these traditions. The nazis made the conservative Prussian past serviceable to their need for political legitimation to an extent hitherto unprecedented. Long before the Second World War, Prussian values became National Socialist values, judged to epitomize the German character, and help up as models to emulate: austerity, thrift, tenacity in the pursuit of one's goals, a preparedness for personal sacrifice, and a willingness to lay down one's life in the service of a higher cause that would win out in the end, even in the face of overwhelming odds. Above all, there was the concept of duty; it was imperative to "fulfill" one's duty of the ' and the . Among other things, made the Prussian past and the values it imputed to it palpable in the form of Grand historic films that enjoyed mass audiences. It was already during the period of the seizure of power that conservatives lost the Deutungshoheit, that is, the prerogative to interpret the great traditions and historical figures of the past, to the Nazis. From 1933 onwards, the Nazis acted as self-appointed guardians of the national heritage. And they did this with greater aplomb, audacity, and-in many instances-more skill than conservative propagandists during the before them."
"Anarchism had belonged to the most active resistance fighters against , and their numbers had been decimated by the ruthless National Socialist persecution. Between 1919 and 1923 there had been approximately 1500,000 anarchists in . By the end of the Weimar Republic, about 50,000 activists remained. In 1945 their numbers were down to 15,000, and many of those were seriously ill as consequence of torture and persecution. Hence, anarchist groups in the immediate post-war period had no more than about 5,000 members. In its pre-1933 centres such as , , /, Berlin, and groups were formed who tried to rivive German anarchism organisationally and intellectually. In the Soviet zone of occupation, they soon clashed with the Soviet military authorities and the SED. Their leading figures such as Alfred Weiland or Willi Jelinek were kidnapped by the and imprisoned on trumped-up charges. Whether Jelinek's death in Bautzen prison had natural causes or was murder is still unclear today. By 1948-49 there subsequent waves of persecution had uprooted anarchism in the Soviet zone to such an extent that it was organisationally extinct. In the West, the 1950s saw maany attempts to unite the diverse groups into one German federation. The absence of the leading intellects on the movement's ability to regenerate its energies. Many, like , had been murdered by the Nazis. Others, like Rudolf Rocker or , were still in exile. Furthermore, Rocker was arguably more influential in Spain than in Germany, ant the same can be said in relation to Souchy and Latin America. Despite the many organisational and ideological fissures which characterised post-war German anarchism, an attempt to the movement finally succeeded at a conference in Neviges in August 1959. Yet the emerging Association of Free Socialist and Anarchists was not successful in reviving the fortunes of German anarchism. It failed to overcome the strong ideological differences between the diverse anarchist groups leading a rather shadowy existence in subsequent years. By the mid-1960s, anarchism was marginal political phenomenon in the Federal Republic, and the very words 'anarchism' and 'anarchic' had become bywords for disorganisation rather than signifying one of the few genuine alternatives which had existed in the history of the German left to reformist Social Democracy on the one hand and authoritarian Communism on the other."
"As todayâs form of capitalism is not compatible with our social and cultural value system, sooner or later it will be damaging to the foundations of societies and the values they are built on. Therefore, capitalism must be upgraded in a way that is compatible with societal and cultural values and with the fairness principle to provide equal opportunities."
"The new regime was headed by Ernst Niekisch, a left-wing Social Democrat and teacher from Augsburg in Swabia. His ascendancy to power in Bavaria signaled a clear move away from a process of democratization compatible with Western-style parliamentary democracy. He was a supporter of National Bolshevism, a political movement that rejected the internationalism of Bolshevism but, other than that, believed in Bolshevism."
"Hitler was picked as the representative of the men in his company. He now held a position that existed to serve, support, and sustain the left-wing revolutionary regime. Hitlerâs task was to help facilitate the smooth running of the regiment. If we can believe an article published in March 1923 in the MĂźnchener Postâa partisan Social Democratic newspaper but one that was generally well informed about the nascent National Socialist movementâhis responsibilities eventually went further than that. According to the article, he also acted as a go-between with the propaganda department of this regiment and the revolutionary regime. The article claimed that Hitler took an active role in the work of the department, giving talks and made the case for the republic."
"In the late 1918 and early 1919, the primary challenge to the establishment of liberal democracy in Germany did not emanate from the right. It came from the left."
"Soldiers in Munich had been oscillating between supporting the moderate left, that is, the SPD, and the radical left in its different incarnations, not between left-wing and right-wing ideology. After all, more than 90 percent of soldiers in Hitlerâs unit had voted for either the moderate or the radical left in the Bavarian elections in January [1919]."
"Yet Hitler managed not to get caught up in the violence directed against real and imagined supporters of the Munich Soviet Republic. According to his friend Ernst Schmidt, he was released again from captivity through the intervention of an officer, who encountered him in the wake of his arrest and who knew him from the front."
"âOn May 3, 1919, 6 months after the revolution, Hitler said he was in favor of majoritarian democracy at a meeting of members of the 2nd Infantry Regiment in the regimental canteen on Oberwiesenfeld.â The testimony states that the meeting had been called to discuss who should become the new commander of the regiment, adding that Hitler identified himself âas a supporter of Social Democracy [Mehrheitssozialdemokratie; i.e. the SPD], albeit with some reservations.â"
"When [Friedrich] Krohn and Hitler first met around the time that Hitler first attended a meeting of what was to become the Nazi Party, Hitler told him that he favored a âsocialismâ that took the form of a ânational Social Democracyâ that was loyal to the state, not dissimilar to that of Scandinavia, England, and prewar Bavaria."
"In becoming a turncoat, Hitler was far from unique. In fact, at the time Munich was full of turncoats. For example, some former members of the Red Army joined the Freikorps."
"At his military HQ [Hitler] would be recorded as saying on February 1, 1942, âThe only problem for the Social Democrats at the time was that they did not have a leader.â"
"The dividing line in military units based in Munch during the time of the Soviet Republic ran not between the left and the right, but between the radical left and the moderate left, which puts Hitler on the moderate left."
"As Hitler sat down in the Leiberzimmer to listen to the proceedings, he was surrounded by memorabilia for veterans⌠Yet on the evening of September 12, [1919] the room was not filled with veterans of the regiment but with some forty to eighty DAP sympathizers who came to listen to the guest speaker of the evening. The speaker was Gottfried Feder, whoâjust as he had done during Hitlerâs propaganda courseâgave a talk on his signature topic, the ills of capitalism. This was Federâs sixteenth talk of the year but the first time that he addressed the DAP. The title of his talk was âHow and By What Means Can Capitalism Be Eliminated?â"
"The question is not whether Hitler supported the left during the revolution, which he clearly did, but what kind of left-wing ideas and groups he supported or at least accepted. As Hitler served all left-wing regimes during all phases of the revolution until the end, he obviously accepted all of them or at least acquiesced to them for reasons of expediency."
"As the rope tightened around the neck of the Soviet Republic in late April, life for any real or perceived counterrevolutionaries left in Munich grew very dangerous indeed. For instance, on April 29 and the following day, revolutionaries showed up at the neoclassical palace on Brienner StraĂe that housed the papal nunciature, entering the building and threatening the nuncio, Eugenio Pacelli, with guns, daggers and even hand grenades. Pacelli was hit so hard in his chest with a revolver that it deformed the cross that he carried on a chain around his neck. The attack on the future Pope Pius XII was not the only reported case of aborted action taken against real or perceived adversaries of the Soviet Union."
"Being that soldiers, who overwhelmingly had voted for the SPD in the Bavarian elections in January 1919, had elected Hitler as their representative, that Hitlerâs closest companion during the revolution had been a member of an SPD-affiliated union; and that the SPD under Erhard Auer had stood against international socialism and cooperated on many an occasion with conservative and centrist groups, one thing is quite clear: Hitler had stood close to the SPD but either had missed the opportunity or lacked the willpower to jump ship after the establishment of the second Soviet Republic."
"Rather than withdraw, as many others did, Hitler decided to continue his involvement with the Communist regime and run for election again. Having proven himself since his election as Vertrauensmann, he now ran to become Bataillons-Ratâthe representative of his company, the Second Demobilization Company, on the council of his battalion. When the election results were published the following day, he learned that he had secured the second-highest number of votes, 19, compared to the 39 of the winner, meaning he had been elected to being the Erstaz-Bataillons-Rat (deputy battalion councilor) of his unit."
"Hitlerâs undetermined political future becomes even less surprising if we bear in mind that the intellectual origins of Fascism share central tenets with the non-Marxist Left. According to one argument, despite its eventual collision with the conservative Right once Fascism tried to come to power, early Fascism had been in its promise, rather than in its eventual application, more socialist than capitalist, more plebeian than bourgeois."
"More important than what I think about Hitlerâs performance as a soldier during the war is what the other members of Hitlerâs unit thought of him. A letter I found through serendipity in the US National Archives testifies that frontline soldiers in the trenches considered Hitler an Etappenschwein (ârear area pigâ), as they thought that, unlike them, he had landed a cushy job with regimental HQ a few miles behind the front. The reason this is so important is because it puts a lie to the orthodox view that Hitler was a typical product of his wartime unit."
"On April 12, 1919, Ernst Schmidt decided it was time to leave the army. His friend Hitler, by contrast, chose to stay. This was an active decision on the part of the future right-wing dictator of Germany to serve a regime that at the time pledged allegiance to Moscow."
"Hitler stayed on even when, on April 13, Palm Sunday, the revolution devoured its children, as the most radical regime yet, a new and more hard-core Soviet Republic headed by Communists, was established in Munich. Its government, the Vollzugsrat, had a direct line of communication to the Soviet leadership in Moscow and in Budapest. Encoded telegrams went back and forth between Russiaâs capital and Munich. In fact, in the person of Towia Axelrod, Lenin and his fellow Bolshevik leaders in Moscow even had one of their own men on the Vollzugsrat, through whom they could directly influence the decisions made by the Munich Soviet Republic."
"Rudolf Hess, Hitler's future deputy, who recently had moved to Munich and now lived in ElisabethstraĂe, close to the barracks in which Hitler resided at the time, did not think that the Soviet Republic was something worth getting upset about... Hess wrote to his parents on April 23. 'I have not experienced any unrest at all. Yesterday we had an orderly march with red flags, nothing else out of the ordinary.'"
"We do know that Hitler spent his birthday wearing a red armband, which all soldiers in Munich were required to wear. We also know that on April 20, during the daily roll call of his unit, he had to announce, as he did every day, the latest decrees and announcements of the Soviet rulers of Munich, which had been conveyed to the regiment through its propaganda department."
"In theory, all Munich-based military units and thus Hitlerâs regiment, too, were part of the Red Army. In that sense, Hitler served in the Red Army. In reality, however, most regiments neither actively supported the Soviet regime nor opposed it."
"On April 27, the troops that Hoffmann and Noske had amassedâa formidable force of thirty thousand menâcrossed into Bavaria⌠On the following day, mass desertion in the Red Army set in. Hitler, however, did not defect. Furthermore a sufficiently large number of men stayed behind for Rudolf Egelhofer to organize a last stand."
"The Freikorps movement was surprisingly heterogeneous... The 158 Jews members of Bavarian Freikorps amounted to about 0.5 percent of the members of the Bavarian Freikorps movement. This was a figure not out of proportion with the overall ratio of Jews among the Bavarian population,âŚ"
"[O]n surviving film footage of Eisnerâs funeral we see Hitler with a few men from his unit walking behind Eisnerâs coffin in the funeral procession of the Bavarian leader. We clearly see Hitler wearing two armbands: one black band to mourn the death of Eisner and the other a red armband in the colour of the Socialists revolution. Similarly, Hitler appears on one of Heinrich Hoffmanâs photographs of the funeral process for Eisner."
"Even two days after the Soviet Republic had been proclaimed, Hitler stood for election again, when the new regime conducted an election among Munich's soldier councils to ensure support for the Soviet Republic by Munich's military units. Hitler was now elected Deputy Battalion Representative and remained in the post for the entire lifespan of the Soviet Republic."
"Konrad Heiden, a Social Democrat writer with a Jewish mother who came to Munich as a student in 1920 and after graduation started to work as a Munich correspondent of the liberal Frankurter Zeitung would report in 1930 that Hitler had supported the SPD and had even talked about joining the party."
"Hitler himself would imply that he had had Social Democratic leanings in the past when he told some of his fellow National Socialists in 1921, âEverybody was a Social Democrat once.â"
"Perhaps surprisingly, once back in Munich, Hitler did not act in any way consistent with his later beliefs. In fact, his actions during the five months after his return to Bavaria did not show any consistency at all. They were full of contradictions and reveal a deeply disoriented man without a clear mental compass to steer him through the post-war world."
"It is certainly true that Hitler returned from the war as a man without a compass and embarked on a path of self-discovery. Yet opportunism and expediency and vague political idea coexisted and at times competed with each other, within Hitler."
"Exploiting the fears among Munichâs new rulers about a repeat of the Munich Soviet Republic, [Hitler] volunteered to become an informant for the new masters of the city. By becoming a turncoat, he managed against all odds, not only to escape decommissioning and thus to escape an uncertain future, but also to emerge strengthened from a situation that otherwise might have resulted in deportation to his native Austria, imprisonment, or even death."
"[Hitler] now informed on his own regimental peers. In testimony given to the board, Hitler implicated, for instance Josef Seihs, his predecessor as Vertrauensmann of his company, as well as Georg Duffer, the former chair of the Battalion Council of the Demobilization Battalion, for having recruited members of the regiment into joining the Red Army: âDuffer was the regimentâs worst and most radical rabble-rouser,â Hitler would state when giving testimony on May 23 in a court case that had been triggered by the investigation of the board on which he, himself, had serviced."
"Whatever his inner thoughts and intentions, Hitler now had to serve as a representative of his unit within the new Soviet regime. By his willingness to run for office as Bataillons-Rat, he had become even more significant cog in the machine of Socialism than previously had been the case. Hitlerâs actions helped sustain the Soviet Republic."
"Auer, himself, also claimed that Hitler had held sympathies for the SPD during the winter and spring of 1919. In a 1923 article Auer wrote for the MĂźnchener Post , he stated that Hitler âdue to his beliefs was regarded as a Majority Socialist [Mehrheitssozialist] in the circles of the Propaganda Department and claimed to be one, like so many others; but he was never politically active or a member of a trade union."
"One of the major problems of algebra as it is practiced in today's schools is the lack of mathematical, pedagogical, and psychological connection between these two kinds of algebraâbetween the pre- and post-Noether views of the subject."
"We may assume that Emmy Noether studied, like Weyl, all of Hilbert's papers, at least those which were concerned with algebra or arithmetic. In particular she would have read the paper ["Ăber die Theorie der algebraischen Formen" (1890)] where Hilbert proved that every ideal in a polynomial ring is finitely generated; in her famous later paper ["Idealtheorie in Ringbereichen" (1921)] she considered arbitrary rings with this property, which today are called "s". ...Hilbert's ' too was... studied; it was the standard text which every young mathematician of that time read... to learn algebraic number theory. ...Steinitz' great paper "Algebraische Theorie der KĂśrper"...marks the start of abstract field theory... [and] is often mentioned in her later publications, as the basis for her abstract viewpoint of algebra."