Full and hat inductive definitions are equivalent in NBG

A new research project has, quite recently, been launched to clarify how different, from systems in second order number theory extending ACA 0, those in second order set theory extending NBG (as well as those in n + 3-th order number theory extending the so-called Bernays−Gödel expansion of full n + 2-order number theory etc.) are. In this article, we establish the equivalence between Δ10\bf-LFP and Δ10\bf-FP, which assert the existence of a least and of a (not necessarily least) fixed point, respectively, for positive elementary operators (or between Δn+20\bf-LFP and Δn+20\bf-FP). Our proof also shows the equivalence between ID 1 and ^ID1, both of which are defined in the standard way but with the starting theory PA replaced by ZFC (or full n + 2-th order number theory with global well-ordering).

Forcing for hat inductive definitions in arithmetic

By forcing, we give a direct interpretation of inline image into Avigad's inline image. To the best of the author's knowledge, this is one of the simplest applications of forcing to “real problems”.

Luther und die Juden : ein Beitrag zu der Frage: "Hat die Reformation gegen Juda Toleranz geübt?"

von Georg Rösel

"Was hat die jüdische Gemeinde Königsbergs König Friedrich I. im besondern zu verdanken?" : Vortrag, gehalten am 15. Januar 1901 im Verein für jüd. Geschichte u. Litteratur zu Königsberg i. Pr.

von Ed. Birnbaum

Een oud gebouw : een woord aan hat Amsterdamsche Israel

[Verf.: T. Tal ; L. Wagenaar]

Was hat Max Weber mit Kātib Čelebi zu tun? Ein Annäherungsversuch an Gottfried Hagen

This article responds to Gottfried Hagen’s extensive review (see Der Islam 2/2013) of my book Islamische Verantwortungsethik im 17. Jahrhundert. Ein weberianisches Verständnis der Handlungsvorstellungen Kātib Čelebis (1609– 1657). Whilst I benefitted greatly from some of Hagen’s critical remarks and his- torical elucidations, his review not only misstates crucial passages of my book but also largely disregards its main objective, which is to develop a systematic model for understanding Kātib Čelebi’s ethical stance. Besides reiterating cru- cial arguments ignored and rectifying central aspects misrepresented in Hagen’s review, I here ask how the more fundamental misunderstandings – exceeding differences in theoretical positions or empirical observations – between the au- thor’s intentions and the reviewer’s reception may be explained. Gottfried Hagen’s historiographical perspective on Kātib Čelebi diverges from my sociological take on the same subject matter to the extent that both perspectives are struggling to enter into dialogue. Such dialogue, however, remains highly desirable so as to complement a historical reconstruction of Kātib Čelebi’s life and times with a systematic, theoretically grounded understanding of his views.

Zur Familiengeschichte Asch : mishpa.hat Efer ; ein 200jähriges Gedenkblatt (1713-1913)

[Verf.: A. Berliner]

Wie weit hat Delitzsch Recht? Beantwortet durch krit. Beleuchtung d. 2. Teil von Delitzschs "Die große Täuschung"

von Eduard König

Ḥamiššā ḥumšê Tôrā : ʿim qeṣat pērûš Rašî ... we-gam hā-hafṭārôt ... we-5 megîllôt û-birkôt hat-Tôrā ...

[Jehuda Ben-Moses Naphtali]

Sēfer talmîd ṣaḥqān mûsārî : ... ḥibbûr qāṭān ... mē-haw-wikkûaḥ še-hāyā bên 2 talmîdîm ôhāvîm we-rāʿîm mē-ḥāmat haṣ-ṣāḥôq ... ʿim marʿê māqôm mit-Tôrā nevîʿîm û-Ktûvîm û-min-hat-Talmûd... der gilernṭi und bikerṭi špilr ...

[Jehuda Arje aus Modena]

ʿAmmûdê hal-lāšôn : ham-meyûssādîm ʿal adnê hā-higgāyôn le-tôʿelet hat-talmîdîm ha-ḥafeśîm li-lemôd śefat ʿēver ; di elemenṭe der hebrešn šprache nach logišn printzipien en wikelṭ ... ; ein handbuch fir lehrer

fon Joel B. J. L.

[Šaʿar hat-tešûvā]

Übers. d. Hauptsacht.: Das Tor der Umkehr