A BCK-algebra is an algebra in which the terms are generated by a set of variables, 1, and an arrow. We mean by aBCK-identity an equation valid in all BCK-algebras. In this paper using a syntactic method we show that for two termss andt, if neithers=1 nort=1 is a BCK-identity, ands=t is a BCK-identity, then the rightmost variables of the two terms are identical.This theorem was conjectured firstly in [5], and then in [3]. As a corollary of this theorem, we (...) derive that the BCK-algebras do not form a variety, which was originally proved algebraically by Wroski ([4]). (shrink)

This paper presents a new correctness criterion for marked Danos-Reginer graphs (D-R graphs, for short) of Multiplicative Cyclic Linear Logic MCLL and Abrusci's non-commutative Linear Logic MNLL. As a corollary we obtain an affirmative answer to the open question whether a known quadratic-time algorithm for the correctness checking of proof nets for MCLL and MNLL can be improved to linear-time.

This paper presents a new correctness criterion for marked Danos-Reginer graphs of Multiplicative Cyclic Linear Logic MCLL and Abrusci's non-commutative Linear Logic MNLL. As a corollary we obtain an affirmative answer to the open question whether a known quadratic-time algorithm for the correctness checking of proof nets for MCLL and MNLL can be improved to linear-time.

In this paper we consider properties, related to model-completeness, of the theory of integrally closed commutative regular rings. We obtain the main theorem claiming that in a Boolean algebra B, the truth of a prenex Σn-formula whose parameters ai partition B, can be determined by finitely many conditions built from the first entry of Tarski invariant T(ai)'s, n-characteristic D(n, ai)'s and the quantities S(ai, l) and S'(ai, l) for $l < n$. Then we derive two important theorems. One claims that (...) for any Boolean algebras A and B, an embedding of A into B preserving D(n, a) for all a ∈ A is a Σn-extension. The other claims that the theory of n-separable Boolean algebras admits elimination of quantifiers in a simple definitional extension of the language of Boolean algebras. Finally we translate these results into the language of commutative regular rings. (shrink)

The logical system P-W is an implicational non-commutative intuitionistic logic defined by axiom schemes B = (b → c) → (a → b) → a → c, B' = (a → b) → (b → c) → a → c, I = a → a with the rules of modus ponens and substitution. The P-W problem is a problem asking whether α = β holds if α → β and β → α are both provable in P-W. The answer is (...) affirmative. The first to prove this was E. P. Martin by a semantical method. In this paper, we give the first proof of Martin's theorem based on the theory of simply typed λ-calculus. This proof is obtained as a corollary to the main theorem of this paper, shown without using Martin's Theorem, that any closed hereditary right-maximal linear (HRML) λ-term of type α → α is βη-reducible to λ x.x. Here the HRML λ-terms correspond, via the Curry-Howard isomorphism, to the P-W proofs in natural deduction style. (shrink)

Based on practical and thoroughly researched information, this book provides a much-needed framework for understanding the causes and developing solutions to the problem of sexual aggression.

In the October edition of the Journal of Medical Ethics, Akabayashi and colleagues state that ’to establish a heterogeneous [induced pluripotent stem cell] iPSC bank covering roughly 80% of Japan’s population…the Japanese government decided to invest JPY110 billion over 10 years in regenerative medicine research; a quarter of this was to be allocated to the iPSC stock project'. While they claim this amount of money to be an unfair distribution of state resources, we believe their assessment is based on a (...) misunderstanding of the facts. Similarly, other criticisms by them are based on mistaken interpretations. This article is a rebuttal to the arguments that form the basis of Akabayashi and colleagues’ five criticisms by explaining their misinterpretations. (shrink)

Sparrow highlights three potential applications of in vitro eugenics, that is, (a) research into the heredity of genetic disorders, (b) production of cell lines with specific genotypes, and (c) breeding better babies, and points to the need for researchers to discuss in advance the potential ethical problems that may emerge if the realization of this technology occurs in the near future. In this commentary, we pose a question for the sake of discussion. Is it, in fact, appropriate to label all (...) three applications raised by Sparrow as eugenics? By doing so, an unnecessary level of concern might be borne among the public, and as a result, the sound development of this specialized technology would be affected. If the label of eugenics is to be applied to all three of these applications, then Sparrow must justify how he perceives (a) and (b) as not inherently different from (c). (shrink)

BackgroundThe Act Regarding the Promotion of the Appropriate Supply of Hematopoietic Stem Cells for Transplant regulates only how public banks store and provide umbilical cord blood for research or transplantation. Japan had no laws to regulate how the private banks manage the procedures, harvesting, preparation, and storage of such blood. As a result, the status of UCB distribution remains unknown. We conducted a survey to investigate the current status of UCB storage and provision to private biobanks by Japanese institutions that (...) handle childbirth.MethodsQuestionnaire forms were mailed to 3,277 facilities handling childbirth that were registered in the Japan Council for Quality Health Care website.ResultsOf the 1,192 institutions handling childbirth that participated in the survey, 34.4% responded that they currently provide UCB to private biobanks, while 16.1% of facilities did so in the past. Moreover, some institutions currently provide or formerly provided UCB to medical treatment facilities, research institutions, companies, or overseas treatment facilities, research institutions, or companies. A certain number of institutions handling childbirth did not even provide explanations or obtain consent when the UCB was harvested from private bank users.ConclusionsThis is the first study to determine the status of UCB provision to private banks by Japanese institutions handling childbirth. Future studies will need to examine in detail how institutions handling childbirth provide explanations to private bank users and UCB providers as well as how these institutions obtain consent. (shrink)

BackgroundPrevious studies have found that the decision-making process for stored unused frozen embryos involves much emotional burden influenced by socio-cultural factors. This study aims to ascertain how Japanese patients make a decision on the fate of their frozen embryos: whether to continue storage discard or donate to research.MethodsTen Japanese women who continued storage, 5 who discarded and 16 who donated to research were recruited from our infertility clinic. Tape-recorded interviews were transcribed and analyzed for emergent themes.ResultsA model of patients’ decision-making (...) processes for the fate of frozen embryos was developed, with a common emergent theme, “coming to terms with infertility” resulting in either acceptance or postponing acceptance of their infertility. The model consisted of 5 steps: 1) the embryo-transfer moratorium was sustained, 2) the “Mottainai”- embryo and having another child were considered; 3) cost reasonability was taken into account; 4) partner’s opinion was confirmed to finally decide whether to continue or discontinue storage. Those discontinuing, then contemplated 5): the effect of donation. Great emotional conflict was expressed in the theme, steps 2, 4, and 5.ConclusionsPatients’ 5 step decision-making process for the fate of frozen embryos was profoundly affected by various Japanese cultural values and moral standards. At the end of their decision, patients used culturally inherent values and standards to come to terms with their infertility. While there is much philosophical discussion on the moral status of the embryo worldwide, this study, with actual views of patients who own them, will make a significant contribution to empirical ethics from the practical viewpoint. (shrink)

BackgroundFew comparative studies of clinical ethics consultation practices have been reported. The objective of this study was to explore how American and Japanese experts analyze an Alzheimer's case regarding ethics consultation.MethodsWe presented the case to physicians and ethicists from the US and Japan (one expert from each field from both countries; total = 4) and obtained their responses through a questionnaire and in-depth interviews.ResultsEstablishing a consensus was a common goal among American and Japanese participants. In attempting to achieve consensus, the (...) most significant similarity between Japanese and American ethics consultants was that they both appeared to adopt an "ethics facilitation" approach. Differences were found in recommendation and assessment between the American and Japanese participants. In selecting a surrogate, the American participants chose to contact the grandson before designating the daughter-in-law as the surrogate decision-maker. Conversely the Japanese experts assumed that the daughter-in-law was the surrogate.ConclusionOur findings suggest that consensus building through an "ethics facilitation" approach may be a commonality to the practice of ethics consultation in the US and Japan, while differences emerged in terms of recommendations, surrogate assessment, and assessing treatments. Further research is needed to appreciate differences not only among different nations including, but not limited to, countries in Europe, Asia and the Americas, but also within each country. (shrink)

In this article, we provide an ethical analysis of the first porcine cardiac xenotransplant, performed in Maryland, USA in early 2022. David Bennett was offered the experimental procedure after he was deemed ineligible for human heart transplantation and mechanical circulatory support, based on a history of non-compliance. It was reported that Mr Bennett’s previous instances of non-compliance were for medically non-life-threatening conditions years earlier, where the risks of non-compliance were not as high. We argue that, in Mr Bennett’s case, a (...) history of non-compliance in a different context, should not necessarily rule him ineligible for a potentially life-saving treatment now. Furthermore, using previous non-compliance to exclude individuals from donor organs may have the unintended effect of placing the burden of testing xenotransplantation on those who are already disadvantaged. We then argue that it is not enough to rely on patient consent to ethically justify xenotransplantation research. Taking a broad ethical perspective is crucial when mapping a clinical pathway for xenotransplantation. (shrink)

In this note, we will study four implicational logicsB, BI, BB and BBI. In [5], Martin and Meyer proved that a formula is provable inBB if and only if is provable inBBI and is not of the form of » . Though it gave a positive solution to theP - W problem, their method was semantical and not easy to grasp. We shall give a syntactical proof of the syntactical relation betweenBB andBBI logics. It also includes a syntactical proof of (...) Powers and Dwyer's theorem that is proved semantically in [5]. Moreover, we shall establish the same relation betweenB andBI logics asBB andBBI logics. This relation seems to say thatB logic is meaningful, and so we think thatB logic is the weakest among meaningful logics. Therefore, by Theorem 1.1, our Gentzentype system forBI logic may be regarded as the most basic among all meaningful logics. It should be mentioned here that the first syntactical proof ofP - W problem is given by Misao Nagayama [6]. (shrink)

Ono što islam kao religiju posebno karakterizira jest otvorenost prema drugim religijama i „duh dijalogiziranja“, što je zapravo jedna od suštinskih ideja Časnog Kur’āna. Za takvo što je nužan „drugi“, drugi koji će nastojati da se u svojoj ukupnosti razumije. Upravo je časopis Islamska misao jednim dijelom bio posvećen spomenutoj ideji, što potvrđuju tekstovi koje planiramo u ovom radu analizirati. Zapravo, sve to svjedoči jednom polaganom otvaranju koje je karakteriziralo period u kojemu je časopis izlazio, te kako političkoj emancipaciji (...) tako i potrebi da se drugi, na koje su muslimani neposredno upućeni, razumiju u svojoj ukupnosti. Poseban naglasak bit će stavljen na kršćanski liturgijski aspekt, pri čemu ćemo pokazati brojne konceptualne sličnosti u mnogim religijama, kao i posebnosti. To sve doprinosi raznovrsnijem religijskom šarenilu koji se u islamu percipira kao odraz božanskog plana, odnosno volje, što su muslimanski autori prilikom odabira tema u spomenutom časopisu itekako imali na umu. (shrink)

Jesu li stvari ovog svijeta nešto što je dano samoj misli? Jesu li stvari tako mišljene da budu spoznatljive, da budu objektivne manifestacije transcendentalno uvjetovanih moći? Zapadna filozofska tradicija prema Francoisu Laruellu pretpostavlja tu transcendentalnu konstituciju realnog. To je pretpostavka koja uzdiže samu filozofiju kao označenu primateljicu transcendentalnog dara. U našem članku o Laruellovom projektu želimo pokazati kako ta pretpostavka kontrolira čak i prividno radikalne kritike filozofske tradicije koje su se umnožile kao posljedice Nietzscheovog i Heideggerovog mišljenja. Zato učinkovita kritika (...) filozofije mora biti ne-filozofska. Ona prema Laruellu mora dokinuti pretpostavke da je drugotnost dana da bi bila spoznata, kao što mora dokinuti pretpostavku kako sama misao ima fundamentalno drugačiju strukturu. Ne-filozofija počinje ne sa razlikom, ne sa subjektom i objektom, nego sa pozicioniranjem Jednog. Od te početne aksiomatske točke, ne-filozofija uzima kao vlastitu materijalnu filozofiju ponovno mišljenje u odnosu na Jedno. Ne-filozofski projekt ne započinje kao što to čini postmoderna filozofija s naviještanjem kraja filozofije. On uzima filozofiju kao prigodu da postavi pitanje drugačije vrste mišljenja – onog koji, umjesto da se diferencirajći odnosi prema svijetu koji pretpostavlja, potvrđuje kako je ultimativno u tijelu s Jednim kojeg nikad ne možemo znati. (shrink)

Rather than being just abstract notions scholars write about, patriotism and cosmopolitanism are used by social actors in ongoing social life. Whether employed to name?us? and exalt the values of one?s own group, or to name?them? and stigmatize what the opponents stand for, the two terms have long served as potent discursive weapons in the struggle for various kinds of power in Serbia. While they retain some significance to this day, the peak of their intensive and consequential employment in public (...) discourse occurred between 2005 and 2010. In this paper we aim to reconstruct the symbolic battles over the foundations of Serbian political community, based on critical discourse analysis of the discursive material produced by intellectuals and made public via Pescanik and Nova srpska politicka misao media outlets. (shrink)