In our previous paper [5], we have studied Kripke-type semantics for propositional logics without the contraction rule. In this paper, we will extend our argument to predicate logics without the structure rules. Similarly to the propositional case, we can not carry out Henkin's construction in the predicate case. Besides, there exists a difficulty that the rules of inference () and () are not always valid in our semantics. So, we have to introduce a notion of normal models.

Konrad Lorenz, an ethologist, proposed that certain physical elements are perceived as cute and induce caretaking behavior in other individuals, with the evolutionary function of enhancing offspring survival. He called these features Kindchenschema, baby schema. According to his introspection, these include a large forehead, chubby round features, and chubby cheeks. Previous studies are limited to examining the effects of these facial features on perceived cuteness. However, other morphological factors may be related to perceived cuteness. This study uses Bayesian optimization, one (...) of the global sequential optimization methods for estimating unknown functions, to search for facial morphological features that enhance the perceptions of facial cuteness. We applied Bayesian optimization incorporating Gaussian process ordinal regression, which allows an estimation of the latent cuteness function based on evaluations using the Likert scale. A total of 96 preschool children provided the facial images used in this study. We summarized the facial shape variations using methodologies of geometric morphometrics and principal component analysis up to the third principal component, which we refer to as the face space. A total of 40 participants evaluated the images created by warping the average facial texture of the children's faces with randomly generated parameters in the face space. Facial traits related to perceived cuteness were estimated based on the averaged cuteness function. Perceived cuteness was linked to the relative lower position of facial components and narrower jawline but not to the forehead height. (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)

The main part of the proof of Kripke's completeness theorem for intuitionistic logic is Henkin's construction. We introduce a new Kripke-type semantics with semilattice structures for intuitionistic logic. The completeness theorem for this semantics can he proved without Henkin's construction.

This paper provides a history of more than a century of efforts to establish and maintain a homegrown Canadian sugar supply – a twentieth-century version of what Eric Williams called the ‘war of the two sugars’, or the global competition between sugar beet and cane. To resolve beet sugar’s so-called ‘labour problem’, the industry has collaborated with the Canadian state to produce new classes of temporary workers, mobilising incarcerated Japanese Canadians, migrant Indigenous families, and Mexican and Caribbean workers employed through (...) the Seasonal Agricultural Worker Program. At the same time, the sugar industry has sought to refine itself of the racialised workers upon whom it relies by promoting the figure of the white Canadian worker. The Canadian ‘war of the two sugars’ has been fought through the stratification of the labour force along the lines of citizenship, resulting in the production of unique racial forms. (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)

Takahashi translation * is a translation which means reducing all of the redexes in a λ-term simultaneously. In [4] and [5], Takahashi gave a simple proof of the Church–Rosser confluence theorem by using the notion of parallel reduction and Takahashi translation. Our aim of this paper is to give a simpler proof of Church–Rosser theorem using only the notion of Takahashi translation.

Research interest in cuteness perception and its effects on subsequent behavior and physiological responses has recently been increasing. The purpose of the present study was to produce a dataset of Japanese infant faces that are free of portrait rights and can be used for cuteness research. A total of 80 original facial images of 6-month-old infants were collected from their parents. The cuteness level of each picture was rated on a 7-point scale by 200 Japanese people. Prototypical high- and low-cuteness (...) faces were created by averaging the top 10 and bottom 10 faces according to the mean cuteness ratings. Then, 50 composite faces were made by mixing two faces randomly chosen from the 60 unused middle-cuteness faces. The normative cuteness ratings of these composite faces were obtained from 229 Japanese men and women in their 20s–60s. The shape of each composite face was transformed to be cuter or less cute along a continuum between the high- and low-cuteness prototypical faces. A two-alternative forced-choice task confirmed that cuteness discrimination was better than the chance level for all 50 face pairs. Moreover, the results showed that young men had poorer sensitivity to cuteness differences in infant faces than older men and women of any age. This Japanese Cute Infant Face dataset, including composite face images and normative rating scores, is publicly available online. (shrink)

A reduction rule is introduced as a transformation of proof figures in implicational classical logic. Proof figures are represented as typed terms in a -calculus with a new constant P (()). It is shown that all terms with the same type are equivalent with respect to -reduction augmented by this P-reduction rule. Hence all the proofs of the same implicational formula are equivalent. It is also shown that strong normalization fails for P-reduction. Weak normalization is shown for P-reduction with another (...) reduction rule which simplifies of (( ) ) into an atomic type. (shrink)

The question that this paper tries to answer is Q: “Can good academic bioethics be done without commitment to moral theory?” It is argued that the answer to Q is an unequivocal “Yes” for most of what we could call “critical bioethics,” that is, the kind of bioethics work that primarily criticizes positions or arguments already in the literature or put forward by policymakers. The answer is also “Yes” for much of empirical bioethics. The second part of the paper then (...) provides an analysis of Q in relation to “constructive bioethics,” that is, bioethics work aimed at providing an argument for a particular position. In this part, it is argued that a number of the approaches or methods used that initially look like they involve no commitment to moral theory, nevertheless, involve such a commitment. This is shown to be the case for reflective equilibrium, mid-level theory, the use of theory fragments, and argument by analogy. (shrink)

In this book, S. A. Lloyd offers a radically new interpretation of Hobbes's laws of nature, revealing them to be not egoistic precepts of personal prudence but rather moral instructions for obtaining the common good.

The status quo: dogmatism, the biopsychosocial model, and alternatives -- What there is: of mind and brain -- How we know: understanding the mind -- What is scientific method? -- Reading Karl Jaspers's General Psychopathology -- What is scientific method in psychiatry? -- Darwin's dangerous method: the essentialist fallacy -- What we value: the ethics of psychiatry -- Desire and self: Hellenistic and Islamic approaches -- On the nature of mental illness: disease or myth? -- Order out of chaos: from (...) insanity to DSM-III to a pluralistic nosology -- A theory of DSM-IV: ideal types -- Dimensions versus categories -- The perils of belief: psychosis -- The slings and arrows of outrageous fortune: depression -- Life's rollercoaster: mania -- Being self-aware: insight -- Calvinism or hedonism? -- Truth and statistics: problems of empirical psychiatry -- A climate of opinion: what remains of psychoanalysis -- Being there: existential psychotherapy -- Beyond eclecticism: teaching psychotherapy in the twenty-first century -- Bridging the biology/psychology dichotomy: the hopes of integrationism -- Why it is hard to be pluralist. (shrink)

Study of Hans-Georg Gadamer's and Julius Stenzel's interpretations of Plato.

Professor Toynbee observes in his Study of History that as he walked down Whitehall one day in the spring of 1918, and passed the Board of Education offices which had been commandeered for a new department of the War Office, “improvised in order to make an intensive study of trench warfare,” he found himself repeating the passage from St. Matthew's Gospel.

The third author gave a natural deduction style proof system called the \-calculus for implicational fragment of classical logic in. In -calculus, 2015, Post-proceedings of the RIMS Workshop “Proof Theory, Computability Theory and Related Issues”, to appear), the fourth author gave a natural subsystem “intuitionistic \-calculus” of the \-calculus, and showed the system corresponds to intuitionistic logic. The proof is given with tree sequent calculus, but is complicated. In this paper, we introduce some reduction rules for the \-calculus, and give (...) a simple and purely syntactical proof to the theorem by use of the reduction. In addition, we show that we can give a computation model with rich expressive power with our system. (shrink)

Conduct of Muslim women in Turkey in the age of globelization; 20th century.

The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc. The isomorphism has many aspects, even at the syntactic level: formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to (...) term reduction, etc. But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transforms proofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq). This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic. Key features - The Curry-Howard Isomorphism treated as common theme - Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics - Thorough study of the connection between calculi and logics - Elaborate study of classical logics and control operators - Account of dialogue games for classical and intuitionistic logic - Theoretical foundations of computer-assisted reasoning · The Curry-Howard Isomorphism treated as the common theme. · Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics. · Elaborate study of classical logics and control operators. · Account of dialogue games for classical and intuitionistic logic. · Theoretical foundations of computer-assisted reasoning. (shrink)