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Bolender was in charge of Camp lll. In Sobibor there was a working Jew whom Bolender ordered to box with another working Jew, and for his pleasure they hit each other almost until death. Bolender had a big dog and when he was in charge of the platform workers he set the dog at the Jews, who did not work quickly enough.

When I arrived in Treblinka for the first time, a large board was located in Reception Square. As I remember, on this board were noted ten clauses. These clauses stressed how the arriving Jews should behave. It is clear that in this written announcement the mission of this camp, in some way, was disguised. Maybe it related to a resettlement camp, but I know that it alluded to the fact that all have to go to the bath and in the meantime the clothes would be disinfected. In the framework of the re-organisation, Wirth ordered the signboard removed. In its place, the SS men would verbally announce to the deportees the directions which were until then written on the board. These short announcements were translated by working Jews.

A few weeks before the uprising in Sobibor I and three other SS men and a larger group of Ukrainians auxiliaries were again ordered to go to Belzec. We were doing forestation work there. We had to prevent the Poles from turning the whole area upside down in their searches for gold.

During my year and a half stay in Sobibor, I frequently saw that the working Jews were whipped. The Jews had to bow down and the Unterfuhrers (SS-men) ordered the Jewish kapos to whip them. Usually they received between ten and twenty-five lashes. The working Jews attended the punishments in order to maintain camp discipline and as a deterrent. In most cases the Jews who were whipped were dressed.

President Barack Obama ordered the Stuxnet attack on Iran as part of a wave of cyber sabotage and espionage against the would-be nuclear power, according to a new book citing senior Washington sources.

(NAS) membership, American Psychological Association (APA) President and/or recipient of the APA Distinguished Scientific Contributions Award, and surname used as an eponym. Then the list was rank ordered.

, drawn by Chiossone during his employment by the Imperial Printing Bureau: Chiossone was ordered to covertly sketch the emperor and create the final portrait from those sketches. The completed work was then photographed and distributed under the tacit approval of the Emperor to foreign governments and Japanese schools.

(one-time-programmable, or PROM) and UV-eraseable (EPROM) versions of most of its PICs for legacy support, or volume orders. It should be noted that the Microchip website lists PICs that are not electrically erasable as OTP despite the fact that UV erasable windowed versions of these chips can be ordered.

, defines the order type of a well-ordering as the set of all well-orderings similar (order-isomorphic) to that well-ordering: in other words, an ordinal number is genuinely an equivalence class of well-ordered sets. This definition must be abandoned in ZF and related systems of axiomatic set theory because these equivalence classes are too large to form a set. However, this definition still can be used in type theory and in Quine's set theory New Foundations and related systems (where it affords a rather surprising alternative solution to the Burali-Forti paradox of the largest ordinal).

of well-ordered sets, we can try to define it as some particular well-ordered set which (canonically) represents the class. Thus, we want to construct ordinal numbers as special well-ordered sets in such a way that

. An ordinal is then defined to be a transitive set whose members are also transitive. It follows from this that the members are themselves ordinals. Note that the axiom of regularity (foundation) is used in showing that these ordinals are well ordered by containment (subset).

Each ordinal has an associated cardinal, its cardinality, obtained by simply forgetting the order. Any well-ordered set having that ordinal as its order-type has the same cardinality. The smallest ordinal having a given cardinal as its cardinality is called the initial ordinal of that cardinal. Every finite ordinal (natural number) is initial, but most infinite ordinals are not initial. The axiom of choice is equivalent to the statement that every set can be well-ordered, i.e. that every cardinal has an initial ordinal. In this case, it is traditional to identify the cardinal number with its initial ordinal, and we say that the initial ordinal

. Notice that a number of authors define confinality or use it only for limit ordinals. The cofinality of a set of ordinals or any other well ordered set is the cofinality of the order type of that set.

Any ordinal can be made into a topological space by endowing it with the order topology (since, being well-ordered, an ordinal is in particular totally ordered): in the absence of indication to the contrary, it is always that order topology which is meant when an ordinal is thought of as a topological space. (Note that if we are willing to accept a proper class as a topological space, then the class of all ordinals is also a topological space for the order topology.)




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11 Gennaio 2022

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