Even though the strong relationship between proof-theoretic and model-theoretic notions in one’s logical theory can be shown by soundness and completeness proofs, whether we can define the model-theoretic notions by means of the inferences in a proof system is not at all trivial. For instance, provable inferences in a proof system of classical logic in the logical framework do not determine its intended models as shown by Carnap (Formalization of logic, Harvard University Press, Cambridge, 1943), i.e., there are non-Boolean models (...) that satisfy its provable inferences. In the literature, this is known as the Categoricity problem or Carnap’s problem. In this paper, we will discuss the Categoricity problem (or Carnap’s problem) for three-valued logics K3 and LP. We will provide three different restrictions on admissible models that will deliver us categoricity results, some of which draw from the solutions provided for the Categoricity problem for classical logic in Belnap and Massey (Stud Log 49(1):67–82, 1990) and Bonnay and Westerståhl (Erkenntis 81(4):721–739, 2016). We will then argue that two of those solutions are philosophically well-motivated: (1) restricting the admissible models where negation is interpreted as a Strong Kleene truth-function, and (2) restricting the admissible models where a complex formula is assigned the third value when its immediate subformulas are assigned the third value. (shrink)

Mezar yapımı insanlık tarihi kadar eskidir. İlk insandan beri var olan bu yapı, her toplumun kendi gelenek ve inançları doğrultusunda farklı şekillerde tezahür etmiştir. Bu çalışma Türklerin tarih boyunca insana vermiş oldukları değerin bir göstergesi olarak mezar taşı kültürünün son dönem uygulamaları hakkında bilgi vermeyi amaçlamaktadır. Dolayısıyla 19. yüzyıl ve sonrası Osmanlılarda mezar taşlarının almış olduğu şekilsel değişimler ve hüsn-i hattın uygulama biçimleri örnekler üzerinden verilmiş, araştırmaya konu olan yüzyılı temsilen iki mezar taşı detaylı incelenmiştir. Çalışmanın problem durumu “Yazı mezar (...) taşlarında ne zaman kullanılmaya başlandı? İstifli yazılar mezar taşlarında neden kullanılmıştır? İstifli yazıların zirve uygulamaları hangi dönemde olmuştur?” şeklinde tespit edilmiştir. Çalışmamızda nitel araştırma yöntemlerinden kaynak tarama, örnekleme, karşılaştırma, kaynak göstermeye başvurulmuştur. Çalışma hat sanatının en güzel uygulama alanlarından biri olan mezar taşı kitabetindeki yerinin görülmesi ve tarihi seyrinin öğrenilmesi açısından önemli olduğu söylenebilir. (shrink)

In this exploratory qualitative study, the open-ended responses of 71 Turkish–Muslim university students regarding their religious socialization experiences were coded by NVivo 8. Results indicate that both parents play a major role in their offspring’s religious socialization. However, participants perceive their same-sex parents in particular as being more influential. Parents’ methods for transmitting religious values and practices include having religious talks with their children, answering their questions about Islam, sending them to mosques, reinforcing and/or punishing their behaviours. Peers, siblings, and (...) cousins are other important religious socialization agents whom the participants generally perceive as partners in religious activities. Some religious peer groups, same-sex siblings and cousins play a significant role in the participants’ religious learning. In Turkish–Muslim families, the oldest siblings exert a major influence on the religious socialization of their younger brothers and sisters as do grandparents, aunts and uncles. (shrink)

Investing in research is a long-term, risky proposition. In agriculture, it could take fifteen years or more for a research finding to show an improvement in a farmer’s field. Yet, research institutions, like other organizations it needs to be evaluated. For more than twenty years, independent panels of outside experts have evaluated each of the international research centers that the Consultative Group of International Agricultural Research (CGIAR) supports. This paper examines the evolution of this review system, outlines the key methodological (...) challenges faced, and draws lessons for others engaged in evaluating research institutions. It notes that the scope of the CGIAR reviews have been broadened over time in response to users’ concerns. Reviews now cover four dimensions of performance: research results, quality and relevance of research, vision and strategic directions, and management efficiency. The methodological challenges faced in measurement, valuation, and attribution are reviewed, along with practices found to be helpful in addressing these concerns. The paper concludes that the panel approach to institutional evaluation has served CGIAR’s needs well, and recommends it as an evaluation technique for integrating quantitative and qualitative dimensions of institutional performance. (shrink)

In this exploratory qualitative study, the open-ended responses of 71 Turkish–Muslim university students regarding their religious socialization experiences were coded by NVivo 8. Results indicate that both parents play a major role in their offspring's religious socialization. However, participants perceive their same-sex parents in particular as being more influential. Parents’ methods for transmitting religious values and practices include having religious talks with their children, answering their questions about Islam, sending them to mosques, reinforcing and/or punishing their behaviours. Peers, siblings, and (...) cousins are other important religious socialization agents whom the participants generally perceive as partners in religious activities. Some religious peer groups, same-sex siblings and cousins play a significant role in the participants’ religious learning. In Turkish–Muslim families, the oldest siblings exert a major influence on the religious socialization of their younger brothers and sisters as do grandparents, aunts and uncles. (shrink)

The aim of this study is to explore the influence of religious beliefs on the work-related attitudes of Turkish SME (small and medium-sized enterprise) owner-managers. In this research, the emergence of pious or devout business people is considered as a phenomenon, and special attention is paid to religious transformation and secularism in Turkey. Both concepts, religion and secularism, are considered within the Turkish context. For the research, in-depth interviews were conducted with 32 Turkish business people from religious and secular backgrounds, (...) respectively. The study investigates the so-called “Islamic work ethic” values and Islamic business principles from a critical perspective and argues that they do not seem to be as significant factors as predicted in the emergence of pious or devout business people in Turkey. (shrink)

Abū Ishāq al-Ṣaffār was one of scholars of the Western Qarakhānids’ period who followed the Kalām thought of al-Māturīdī (d. 333/944). His theological works Talkhīs al-adilla and Risāla fī al-kalām, his method in kalām, and frequent reference to his works by Ottoman and Arab scholars indicate that al-Ṣaffār is a respected and authorative Māturīdī theologian. The article focuses on his defense of the kalām. By adding a long introduction to Talkhīs about the naming, importance, and religious legitimacy of the science (...) of kalām, Saffār asserted that the kalām should be learned. When systematical vindication of the science of kalām is examined, it is understood that al-Ṣaffār is the first theologian who reserved a private and voluminous part for defensing the kalām among Ḥanafī-Māturīdīs. Even though he does not state its systematic, it can be understood that vindication of kalām in al-Ṣaffār divides into three parts as of explanation, demonstration and refutation. Al-Ṣaffār’s defending the science of kalām shows that there were opposite thoughts against kalām in the 4th/10th and 5th/11th centuries throughout in Transoxania. In this period Aṣḥāb al-Ḥadīth and Ikhwān al-Ṣafāʾ were the opposite fronts of kalām. In addition, he was trying to go beyond the oppositions of Ḥanafī jurists. His vindication is consistent and has scholarly depth because it is able to be against a strong opposition. -/- SUMMARY: Abū Ishāq Ibrahīm b. Ismāil Zāhid al-Ṣaffār al-Bukhārī is a scholar belonging to the Ḥanafī theological tradition which was improved by the contribution of Ḥanafī theologians who used thinking system of Abū Ḥanīfa (d. 150/767) as base and adopted Abū Manṣūr al-Māturīdī (d. 333/944) and his thoughts in historical process. The contents of his theological works Talkhīs al-adilla li-qawāʿid al-tawḥīd and Risāla fī al-Kalām, the method that he used, and references to his works made by Ottoman and Arab scholars indicate that he is an important Māturīdī theologian. The article focuses on his defense of the science of Kalām. -/- In Talkhīs al-adilla, there are two sections including the subject of naming, and importance and necessity of Kalām discipline. Here, the necessity of learning Kalām and its value are defended in detail. -/- Besides, rumors “Abū Ḥanīfa turned away from the science of Kalām in his doomsdays” and that “He prohibited to make occupation with Kalām completely” are evaluated. -/- When systematical vindication of the science of Kalām is examined, it is understood that al-Ṣaffār is the first theologian who reserved a private and voluminous part for defensing the Kalām among Ḥanafī Māturīdīs. Even if Abū Manṣūr al-Māturīdī, Abū al-Yusr al-Bazdawī (d. 493/1100) and Abū Muʿīn al-Nasafī (d. 508/1115) defend that the science of Kalām is not wrong for religion; yet, the vindication of Kalām does not take a place under a separate title and in a detailed manner in any of Māturīdī theologians works. -/- The method that al-Ṣaffār used when he is defending the science of Kalām, differs from strategy of Abū Ḥanīfa. While Abū Ḥanīfa has mentioned that there is a need for the science of Kalām under these new circumstances, al-Ṣaffār has defended theologians who were charged with being Ahl al-Bidaʿ, by trying to prove that the prophets especially the Prophet Ibrāhīm, even the Companions of the Prophet Muḥammad (Ṣaḥāba) and the Successors of the Companions (Tābiʿūn) scholars use their minds and make arguments in religious matters. In this respect, he emphasizes that the Qurʾān orders to think and discuss gently, not to be stay in silence: “And dispute with them, using what is best” (16.125-126). Therefore, he states that this discipline which took a mission to explain and defend the creed of Islam (ʿaqīda), cannot be characterized as an innovation (bidʿah) or illicit. -/- His vindication method can be defined as a more developed type of method that Abu’l-Ḥasan al-Ash’arī’s (d. 324/935) used in Risāla fī istiḥsān al-khawḍ fī ʿilm al-kalām. Even though he does not state its systematic, it can be understood that vindication of Kalām in al-Ṣaffār divides into three parts as of explanation, demonstration and refutation: -/- a) Explanation: Explaining the necessity and importance of the science of Kalām by giving information about its definition, names, value and place among other principles. -/- b) Demonstration: Revealing the religious basics of the science of Kalām from the Qurʾān, the Sunna of the Prophet Muḥammad, the Companions of the Prophet, and the Successors of the Companions thus specifying that it is legitimate for religion. -/- c) Refutation: Replying the claims having aim to weaken the value of Kalām principle and its religious legality. -/- Al-Ṣaffār describes ‘the science of Kalām’ as ‘Knowing the Real with the evidences which help to reach the absolute information’. By allocating the concept of 'Ḥaqq', he repeats the definition of Kalām as “it is to know God with certain evidences” in a part of his work, and “it is to know the principles of religion (uṣūl al-dīn) with certain evidences” in another part. He describes Kalām as “Knowing ḥaqq / God / uṣūl al-dīn by depending on evidence”, and tries to prove that it is wrong to consider a science which performs the stated duty, as illicit and abominable and thus turn away from it. -/- Al-Ṣaffār thinks that it is right to call this principle as ‘Kalām’ because of the certain evidences leading to the truth that this science has used. This thought was defended by other theologians as well. -/- For example, according to Saʿd al-Dīn Masʿūd al-Taftazānī (d. 792/1310) it seems like to say “This is the word (kalām), not the other knowings” by the way of the power of evidences used in Kalām.Thus, it is appropriate to give name Kalām for this science which based on certain evidences. -/- Al-Ṣaffār’s explanations revealed in scope of vindication of the Kalām are adopted by some of following scholars. Ḥusām al-Dīn al-Sighnāqī (d. 714/1314) in his book called al-Tasdīd sharḥ al-Tamhīd fī qawāʿid al-tawḥīd quotes Saffâr’s explanations as the same. -/- Al-Ṣaffār indicates that the method told in the Qurʾān is to reply questions about religion, beliefs and rejection instead of remaining in silence. The duty taken on by Kalām is this vindication activity performed by the prophets whose examples are described in the Qurʾān and which is legal and demanded. His way of thinking and vindication of the Kalām resembles that of Abū Manṣūr al-Māturīdī. Al-Māturīdī says, “Prophets and we were ordered to invite infidels to Islam. When this invitation happens, the respondents will ask for evidence and explanation, and discussion will be inevitable. Therefore, discussing and talking about subjects of Kalām is not objectionable”. -/- Thoughts of al-Māturīdī and al-Ṣaffār regarding the vindication of the Kalām were repeated by Nūr al-Dīn al-Ṣābūnī (d. 580/1184), and Fakhr al-Dīn al-Rāzī (d. 606/1210) later. According to al-Ṣābūnī, the evidences put against deniers and especially the discussion made by the Prophet Ibrāhīm to defend his own belief, prove the legality of Kalām discipline. Likewise, according to al-Rāzī, the duty of Kalām is just an activity performed already in the Qurʾān and ordered to the prophets. At this point of view, since the prophets were leading to Kalām, banning this activity is nonsense. -/- According to al-Ṣaffār, the reason for why Abu Hanifa avoids his son Hammād from these discussions is that Abu Hanifa does not like discussions based on obstinate. Otherwise, it cannot be that Abū Ḥanīfa prohibits to learn Kalām and make discussion about Kalām. According to him, this behavior of Abū Ḥanīfa results from that people discussing with him are ignorant about the subject of Kalām, discussion turns to an obstinate, and coming to an end of discussion seems impossible. This comment of al-Ṣaffār is quoted in Miftāḥ al-saʿāda wa-miṣbāḥ al-siyāda by ʿIṣām al-Dīn Aḥmed b. Muṣṭafā Tashköprüzāde (d. 968/1561) and in Minaḥ al-rawḍ al-azhar fī sharḥ al-Fiqh al-akbar by ʿAlī b. Sulṭān Muḥammad al-Qārī (d. 1014/1606) as same as his words. -/- Al-Ṣaffār’s defending the science of Kalām shows that there were opposite thoughts against Kalām in the 4th/10th and 5th/11th centuries throughout in Transoxania.In this period Aṣḥāb al-Ḥadīth and Ikhwān al-Ṣafāʾ were the opposite fronts of Kalām. In addition, he was trying to go beyond the oppositions of Ḥanafī jurists (fuqahāʾ). Because some of the Ḥanafī jurists thought that Abū Ḥanīfa forsook occupation with the science of Kalām and even he prohibited his son to have interest in this discipline. But some of Ḥanafī theologians such as al-Māturīdī, al-Nasafī and al-Ṣaffār protested this thought which describes Abū Ḥanīfa as a banner for Kalām. -/- His vindication is consistent and has scholarly depth because it is able to be against a strong opposition. -/- His book Talkhīs al-adilla li-qawāʿid al-tawḥīd is a unique source in terms of containing vindication of the Kalām in detail and also influencing the approaches of the next period scholars. (shrink)

Paul Veyne, _Did the Greeks Believe in Their Myths?_ _An Essay on the Constitutive Imagination_, trans. Paula Wissing (Chicago: University of Chicago Press, 1988), 169 pp.

İSNAD Atıf Sistemi (www.isnadsistemi.org), Sivas Cumhuriyet Üniversitesinin proje desteği ile akademik araştırmalarda kullanılmak üzere Türkiye merkezli ve Türkçe olarak geliştirilen bir akademik yazım ve kaynak gösterim sistemidir. İSNAD, akademik araştırma, yazım ve yayın etiğiyle ilgili temel kuralları kapsar. Bu, bir yazının başlığının belirlenmesinden özetinin yazılmasına ve anahtar kavramlarının seçimine, başlık formatından tablo ve şekillerin oluşturulmasına, İngilizce, Arapça ve diğer dillerdeki eser adları ve yazar isimlerinin yazılmasına, tarih ve yüzyılların gösterilmesine, yayın etiğine dikkat edilmesine, kaynak eserden alıntı yapılmasına ve atıf bilgilerinin (...) düzenlenmesine kadar geniş bir yelpazeyi içerir. Bilindiği üzere kaynak gösterimi, belirli kurallara uygun olarak yapılmalıdır; bu hem bilginin bilimsel doğruluğu hem de fikri mülkiyet haklarına saygı açısından önemlidir. Bir bilimsel çalışmanın hazırlanmasında kullanılan kaynaklar, diğer araştırmacılar tarafından erişilebilir ve doğrulanabilir olacak şekilde bibliyografik bileşenleriyle doğru ve eksiksiz olarak yazılmalıdır. İSNAD Atıf Sistemi’nde; atıf yapılan kaynağa dair bilgiler, metin içinde (Yazar Soyadı, Basım Tarihi, Sayfa No.) şeklinde veya dipnotta "Yazar Adı Soyadı, Eser Adı, Sayfa No." düzeninde ilgili bilim dalının genel kullanımına uyularak yazılabilmektedir. Ancak kaynakça her iki kullanımda da aynı şekilde oluşturulmaktadır. İSNAD; EndNote, Zotero, Mendeley ve Citavi gibi akademik yazım araçları için hazırlanmış şablonlarıyla kullanımı kolay bir sistemdir. İSNAD'ın kullanımı, aslı İngilizce ve tam metinleri ücretli olan atıf stillerinin Türkiye ve Türk Cumhuriyetlerinde tam olarak öğrenilememesinden ve yaygınlaşamamasından kaynaklanan eksiklikleri giderecektir. (shrink)

Today’s societies face the minorities that want recognition and respect for cultural differences. Kymlicka names it the challenge of multiculturalism. It is considered that identity and recognition problems have recently come to the fore because of a transformation in the perception of subject, truth, reason caused by postmodernism. Kymlicka claims that even if it is more difficult to live together today, it is not because of the so-called post-truth age. In his opinion, we have never reached absolute common grounds before, (...) either. So, it is not true that we cannot get common grounds by we do not believe metaphysical truths anymore. He already believes that a sense of justice does not count on the metaphysical truths, but it can be based on social identities and a sense of belonging. So, he thinks that an overlapping consensus is possible. However, I will defend a different perspective about pluralism and living together. I think that modus vivendi is an undeniable universal fact. For this reason, an overlapping consensus as a model of living together can only be possible domestically at the expense of a global modus vivendi. (shrink)

The aim of this paper is to provide a contribution to the natural logic program which explores logics in natural language. The paper offers two logics called \ \) and \ \) for dealing with inference involving simple sentences with transitive verbs and ditransitive verbs and quantified noun phrases in subject and object position. With this purpose, the relational logics are introduced and a model-theoretic proof of decidability for they are presented. In the present paper we develop algebraic semantics of (...) the logics using congruence theory. (shrink)

This paper proposes a formalization of the class of sentences quantified by most, which is also interpreted as proportion of or majority of depending on the domain of discourse. We consider sentences of the form “Most A are B”, where A and B are plural nouns and the interpretations of A and B are infinite subsets of \. There are two widely used semantics for Most A are B: \ > C \) and \ > \dfrac{C}{2} \), where C denotes (...) the cardinality of a given finite set X. Although is more descriptive than, it also produces a considerable amount of insensitivity for certain sets. Since the quantifier most has a solid cardinal behaviour under the interpretation majority and has a slightly more statistical behaviour under the interpretation proportional of, we consider an alternative approach in deciding quantity-related statements regarding infinite sets. For this we introduce a new semantics using natural density for sentences in which interpretations of their nouns are infinite subsets of \, along with a list of the axiomatization of the concept of natural density. In other words, we take the standard definition of the semantics of most but define it as applying to finite approximations of infinite sets computed to the limit. (shrink)

Frame semantics for negation on the Australian Plan accommodates many different negations, but it falls short on accommodating subminimal negation when the language contains conjunction and disjunction. In this paper, I will present a multi-relational frame semantics –multi-incompatibility frame semantics– that can accommodate subminimal negation. I will first argue that multi-incompatibility frames are in accordance with the philosophical motivations behind negation on the Australian Plan, namely its modal and exclusion-expressing nature. Then, I will prove the soundness and completeness results of (...) a subminimal logic that consists of the multi-incompatibility semantics and a proof system with operational rules that characterize subminimal negation, conjunction and disjunction. Lastly, I will prove some key correspondence theorems that relate frame conditions to certain principles that are associated with stronger negations, which will give rise to a new kite of negations that includes subminimal negation. (shrink)

The bundle theory, supposed as a theory concerning the internal constitution of individuals, is often conjoined with a constitutional approach to individuation entailing the thesis ‘no two individuals can share all their constituents’ (CIT). But then it runs afoul of Black’s duplication case. Here a new bundle theory, takingdistance relations between bundles to be a sufficient ground for their diversity, will be proposed. This version accommodates Black’s world. Nonetheless, there is a possible objection. Consider the ‘triplication case’—a world containing three (...) indistinguishable spheres, each 5-meters from each other. Since distance relations are dyadic, this version must fail to distinguish the threespheres world from Black’s world. In response to this objection, I maintain that we must construe distance relations as irreducibly multigrade and n-ary. Then these two worlds will be distinguished by appealing to a triadic relation—R3—that three things enter mutually. Aren’t all polyadic relations in principle reducible to dyadic relations? I won’t deny that. But I will aim lower and argue that R3 cannot be reduced to dyadic relations that obliterate the distinction between the three-spheres world and Black’s world. (shrink)

In fundamental beliefs, in other words, in the internalist theory of knowledge, our beliefs are guaranteed by solid mental foundations, unshakable premises, epistemic principles and some reasons that lead to truth. However, in the theory of non-fundamental beliefs, that is, externalism, the conditions that guarantee knowledge are generally sought outside the mind. Now, in the epistemological sense, obtainingin formation by chance or situations that will eliminate error in information are not the kind of evidence or some principles present in the (...) mind that foundationalists put forward; Cognitive resources such as perception, memory, introspection should also be taken into account in the expression of non-core beliefs. Accordingly, according to a non-foundationalist understanding of knowledge, belief is generally justifiedif it is the result of a reliable mental process such as standard perceptual processes, remembering states in terms of stored data, and introspection, and if there is nothing that weakens this reliable mental process. While the knowledge obtained based on basic beliefs is expressed with justified and perhaps even guaranteed true beliefs, reliable/causal cognitive and external processes are also taken into account in the transformation of non-basic beliefs in to knowledge. The importance of this study emerges as it aims to investigate the plausibility of fundamental and non-fundamental beliefs from the context of knowledge construction by investigating the issue from two dimension sand trying to produce a synthesis. In addition, it aims to justify both types of beliefs and secure knowledge within the framework of internalist and externalist theories of knowledge. Fundamental and non-fundamental belief forms have been described and partially compared within the framework of internalist and externalist understandings of knowledge, and this study has been prepared from a research and analysis perspective. The scope and limitation level of this study is related to the role of our beliefs in the construction of knowledge. While basic beliefs are expressed based on basic epistemic principles and solid mental foundations, non-basic beliefs are explained based on both cognitive and external sources such as perception, memory, introspection, experience and reliability. Th eproblematics of this study are generally about how basic and non-basic beliefs are distinguished and expressed, and which elements are used to guarantee knowledge. The study first tried to define and compare basic and non-basic beliefs. Afterwards, he tried to find solutions to the problems of this research by considering the relationship of both forms of belief with knowledge. (shrink)

We develop a geometro-dynamical approach to the cosmological constant problem (CCP) by invoking a geometry induced by the energy-momentum tensor of vacuum, matter and radiation. The construction, which utilizes the dual role of the metric tensor that it structures both the spacetime manifold and energy-momentum tensor of the vacuum, gives rise to a framework in which the vacuum energy induced by matter and radiation, instead of gravitating, facilitates the generation of the gravitational constant. The non-vacuum sources comprising matter and radiation (...) gravitate normally. At the level of classical gravitation, the mechanism deadens the CCP yet quantum gravitational effects, if strong, can keep it existent. (shrink)

This paper presents the content of this thematic issue of Diogenes on Asian studies in Turkey. It explains the origins of this set of papers in light of relevant scholarship, relates it to current academic work in the field, and provides a rationale for issuing a volume on Asian scholarship in Turkey.

This paper presents the content of this thematic issue of Diogenes on Asian studies in Turkey. It explains the origins of this set of papers in light of relevant scholarship, relates it to current academic work in the field, and provides a rationale for issuing a volume on Asian scholarship in Turkey.

This paper presents the content of this thematic issue of Diogenes on Asian studies in Turkey. It explains the origins of this set of papers in light of relevant scholarship, relates it to current academic work in the field, and provides a rationale for issuing a volume on Asian scholarship in Turkey.

This paper presents the content of this thematic issue of Diogenes on Asian studies in Turkey. It explains the origins of this set of papers in light of relevant scholarship, relates it to current academic work in the field, and provides a rationale for issuing a volume on Asian scholarship in Turkey.

This paper outlines the development of Asian studies in Turkey from their early years to 2022. A particular focus is put on the development of academic programs at Bogazici University and on the international academic partnerships it entailed. The author argues that the end of the Cold War, the “rise of Asia” in public opinion, the new Asia initiative of the Ministry of Foreign Affairs, as well as the global attraction due to international employment opportunities, represent multiple factors that have (...) accelerated interest in Asian Studies in Turkey. (shrink)

The purpose of this paper is to contribute to the natural logic program which invents logics in natural language. This study presents two logics: a logical system called d R containing transitive verbs and a more expressive logical system R containing both transitive verbs and intersective adjectives. The paper offers three different set-theoretic semantics which are equivalent for the logics.