Let K be an infinite Galois extension of the rationals such that every finite subextension has odd degree over the rationals and its prime ideals dividing 2 are unramified. We show that its ring of integers is first-order definable in K. As an application we prove that equation image together with all its Galois subextensions are undecidable, where Δ is the set of all the prime integers which are congruent to −1 modulo 4.

We say that a subset A of M is implicitly definable in M if there exists a sentence $\phi$ in the language $\mathcal{L} \cup \{P\}$ such that A is the unique set with $ \models \phi$. We consider implicit definability of subfields of a given field. Among others, we prove the following: $\overline{\mathbb{Q}}$ is not implicitly $\emptyset$-definable in any of its elementary extension $K \succ \overline{\mathbb{Q}}$. $\mathbb{Q}$ is implicitly $\emptyset$-definable in any field K with tr.deg $_{\mathbb{Q}}K < \omega$. In a (...) field extension $\mathbb{Q} < K$ with K algebraically closed, $\mathbb{Q}$ is implicitly definable in K if and only if tr.deg $_{\mathbb{Q}}$ is finite. (shrink)

Ariga Tetsutaro (1899–1977) war Professor für das Studium des Christentums an der Universität Kyoto und gehörte dort der zweiten Professoren-generation an. Er legte die Grundlagen der Patristik und der Erforschung des Christentums in Japan. In seinem Hauptwerk “Origenes” hatte er den Historismus in der Theologie erforscht, aber nachdem er seinen Dienst als Professor an der staatlichen Universität aufgenommen hatte, die die Trennung von Staat und Religion hochhielt, suchte er nach Wegen, ein ‘Studium des Christlichen’ zu etablieren, das sich von der (...) Theologie unterschied. Dabei dienten ihm Schleiermachers “Kurze Darstellung des theologischen Studiums” und die Tradition des deutschen liberalen Protestantismus als Anhaltspunkte. Anstatt der Theologie, die den Glauben als methodischen Ausgangspunkt hat, und der Religionswissenschaft, die nur die distanzierte Objektivität als Ausgangspunkt wählt, schlug er als neuen Versuch ein Christliches Studium mit akademischem Standpunkt vor, bei dem der Gelehrte eine Forschungshaltung einnimmt, die durch ein Mindestmaß an vernünftiger Kritik und ‘Ur-Sympathie’ gegenüber der Religion geprägt ist. (shrink)

Ariga Tetsutaro (1899–1977) war Professor für das Studium des Christentums an der Universität Kyoto und gehörte dort der zweiten Professoren-generation an. Er legte die Grundlagen der Patristik und der Erforschung des Christentums in Japan. In seinem Hauptwerk “Origenes” hatte er den Historismus in der Theologie erforscht, aber nachdem er seinen Dienst als Professor an der staatlichen Universität aufgenommen hatte, die die Trennung von Staat und Religion hochhielt, suchte er nach Wegen, ein ‘Studium des Christlichen’ zu etablieren, das sich von der (...) Theologie unterschied. Dabei dienten ihm Schleiermachers “Kurze Darstellung des theologischen Studiums” und die Tradition des deutschen liberalen Protestantismus als Anhaltspunkte. Anstatt der Theologie, die den Glauben als methodischen Ausgangspunkt hat, und der Religionswissenschaft, die nur die distanzierte Objektivität als Ausgangspunkt wählt, schlug er als neuen Versuch ein Christliches Studium mit akademischem Standpunkt vor, bei dem der Gelehrte eine Forschungshaltung einnimmt, die durch ein Mindestmaß an vernünftiger Kritik und ‘Ur-Sympathie’ gegenüber der Religion geprägt ist. (shrink)

Interventions performed on a pregnant woman's body can affect the fetus in multiple ways. Such effects can be harmful to beneficial to the fetus. Unfortunately, the effects of new drugs and compoun...

田辺は自己の生を包摂する時代の趨勢と真摯に対峙し、廣松は「近代」の陥穽を注視し絶えず他者との協働を考察し続けた。この二人の視座から「啓蒙の弁証法」の陥穽に落ちた日本社会と日本人の「生の姿」を考えていく 。.

The paper presents a new argument for epistemic permissivism. The version of permissivism that we defend is a moderate version that applies only to explicit doxastic attitudes. Drawing on Yalcin’s framework for modeling such attitudes, we argue that two fully rational subjects who share all their evidence, prior beliefs, and epistemic standards may still differ in the explicit doxastic attitudes that they adopt. This can happen because two such subjects may be sensitive to different questions. Thus, differing intellectual interests can (...) yield failures of uniqueness. This is not a merely pragmatic phenomenon. (shrink)

Recent work on the application of neural networks to language modeling has shown that models based on certain neural architectures can capture syntactic information from utterances and sentences even when not given an explicitly syntactic objective. We examine whether a fully data-driven model of language development that uses a recurrent neural network encoder for utterances can track how child language utterances change over the course of language development in a way that is comparable to what is achieved using established language (...) assessment metrics that use language-specific information carefully designed by experts. Given only transcripts of child language utterances from the CHILDES Database and no pre-specified information about language, our model captures not just the structural characteristics of child language utterances, but how these structures reflect language development over time. We establish an evaluation methodology with which we can examine how well our model tracks language development compared to three known approaches: Mean Length of Utterance, the Developmental Sentence Score, and the Index of Productive Syntax. We discuss the applicability of our model to data-driven assessment of child language development, including how a fully data-driven approach supports the possibility of increased research in multilingual and cross-lingual issues. (shrink)

人間は「生」を得た瞬間から「死」という「滅び」に向かって生きている。そうであるからこそ「生」を尊ぶという考え方が日本の美をつくってきた。日本の美意識の基層をなし、自然に美を見いだした「優美」。演技を七 分にとどめ、完全に演じ切らないことを説いた世阿弥の「幽玄」。慢心する秀吉を戒め、侘びることを説いた利休の「侘び」。旅の途中で寂びつくして命つきることを願った芭蕉の「さび」。西欧文化の影響が背景にある「 きれい」。そして、二一世紀に世界を席巻する「かわいい」とは―。日本の美の潮流を俯瞰し、心のふるさとに耳をすます。.

It can be intuitively understood that sets and their elements in mathematics reflect the atomistic way of thinking in physics: Sets correspond to physical properties, and their elements correspond to particles that have these properties. At the same time, quantum statistics and quantum field theory strongly support the view that quantum particles are not individuals. Some of the problems faced in modern physics may be caused by such discrepancy between set theory and physical theory. The question then arises: Is it (...) possible to reconstruct the concept of set as a collection of objects that model quantum particles rather than as a mere collection of individuals? David Deutsch has argued that identical entities can be diverse in their attributes, and that this nature, what he calls fungibility, must lie at the heart of quantum physics. In line with this idea, a set theory with fungible elements is established, and the collection of such sets is shown to be endowed with an ortholattice structure, which is better known as quantum logic. (shrink)

The $$\varepsilon $$ -elimination method of Hilbert’s $$\varepsilon $$ -calculus yields the up-to-date most direct algorithm for computing the Herbrand disjunction of an extensional formula. A central advantage is that the upper bound on the Herbrand complexity obtained is independent of the propositional structure of the proof. Prior (modern) work on Hilbert’s $$\varepsilon $$ -calculus focused mainly on the pure calculus, without equality. We clarify that this independence also holds for first-order logic with equality. Further, we provide upper bounds analyses (...) of the extended first $$\varepsilon $$ -theorem, even if the formalisation incorporates so-called $$\varepsilon $$ -equality axioms. (shrink)

This article aims to clarify the meaning of henology for Lacan and Žižek. Žižek apparently rejects Neoplatonic way of thinking, but by considering Lacanian Henology through its origin, Etienne Gilson, Lacanian henology and Žižek’s Hegelian reading of the One become converged. Both of them think the movement of the One from one principle and its two aspects. The principle is that the One gives something that it does not have, and it corresponds to Lacanian definition of love. Regarding its two (...) aspects, the first one is the logical necessity that generates necessarily the One, and the second is the logical contingency that generates contingently the surplus element. By this, we can clarify the theoretical development of each period of Lacan. In early Lacan, henology was a logic that ties his “the Symbolic” and Freudian Death drive. In middle Lacan, his main concern was the mathematical logic as the logic of the Id, and henology became the generative logic of the subject of enunciation or the subject of the jouissance. But at the same time, this movement produces as a co-product a inassimilable remainder, “object a” with the subject of signifiant. In late Lacan, by virtue of the “necessary” movement of the One and its “contingent” co-product, the universe of the discourse became indeterminate, undecidable, “not-all,” which means for Lacan “the contingent.” This characteristic became the logic of Lacanian “sexuation.”. (shrink)

The concept of quantum logic is extended so that it covers a more general set of propositions that involve non-trivial probabilities. This structure is shown to be embedded into a multi-modal framework, which has desirable logical properties such as an axiomatization, the finite model property and decidability.

丸山眞男の政治思想史と廣松渉の哲学は「現代の人間世界における人間性の運命とは」を「問う」たのであった。今、だからこそ惰性となった現実主義を「醒めた目」で捉える必要がある。つまり、丸山と廣松の両者のよう に「“鉄のように堅い殻”」の歴史内部で退動する「弁証法的緊張」を把握しなくてはならない。二人が生涯を賭けた思想史と哲学の探求は、人間の歴史的現実に対する私たち自身の課題なのである。.

In 2005 Japan completed its first census after the Personal Information Protection Law went into force in April 2005. The debate about the new law raised privacy concerns for the first time among the public. The news-media also provided several examples of possible lack of safeguards in the data collection of sensitive personal information required for the census. The result was the highest non-response rate ever for the Japanese census. Consequently, its accuracy and role as a source for the reliable (...) national statistics for health/welfare policy-making is now critically threatened. In this paper we argue the necessity to adopt specific safeguards to protect personal data in any future census if the trend of increasing non-response rates is to be reversed. We provide some suggestions for such safeguards, and criticize the Japanese government’s response of focusing exclusively on the mechanism of data collection as a means of meeting the privacy challenge. (shrink)

Amid continuing social unrest from the Great East Japan Earthquake and subsequent Fukushima nuclear accident of 2011, the Japanese government announced plans for a major biobanking project in the disaster-stricken areas, to be administered by the ‘Tohoku Medical Megabank Organization’ (ToMMo). This project differs from previous biobanking projects in that it 1) was initiated mainly to boost post-disaster recovery and reconstruction; and 2) targets the area’s survivors as its primary subjects. Here, we review the ethics of the ToMMo biobanking project (...) within the wider context of disaster remediation. (shrink)