GENERALIZED RECUBION THEORY II © North-Holland Publishing Company (1978) MONOTONE QUANTIFIERS AND ADMISSIBLE SETS Ion Barwise University of Wisconsin ...

J. N. Crossley [1] raised the question of whether the implication 2 + A = A ⇒ 1 + A = A is true for constructive order types (C.O.T.'s). Using an earlier definition of constructive order type, A. G. Hamilton [2] presented a counterexample. Hamilton left open the general question, however, since he pointed out that Crossley considers only orderings which can be embedded in a standard dense r.e. ordering by a partial recursive function, and that his counterexample fails to (...) meet this requirement. We resolve the question by finding a C.O.T. A which meets Crossley's requirement and such that 2 + A = A but 1 + A ≠ A. At the suggestion of A. B. Manaster and A. G. Hamilton we easily extend this construction to show that for any n ≧ 2, there is a C.O.T. A such that n + A = A but m + A ≠ A for 0 < m < n. Hence, Theorem 3 of [2] and all of its corollaries hold with the new definition of C.O.T. The construction is not difficult and requires no priority argument. The techniques are similar to those developed in [3], but no outside results are needed here. (shrink)

Biography of Sister Alphōnsa, 1910-1946, Catholic nun from Kerala.

The novel coronavirus has not only brought along disruptions to daily socio-economic activities, but sickness and deaths due to its high contagion. With no widely acceptable pharmaceutical cure, the best form of prevention may be precautionary measures which will guide against infections and curb the spread of the disease. This study explored the relationship between COVID-19 knowledge, risk perception, and precautionary behavior among Nigerians. The study also sought to determine whether this relationship differed for men and women. A web-based cross-sectional (...) design approach was used to recruit 1,554 participants from all geopolitical zones in Nigeria, through social media platforms using a snowball sampling technique. Participants responded to web-based survey forms comprising demographic questions and adapted versions of the Ebola knowledge scale, SARS risk perception scale, and precautionary behavior scale. Moderated mediation analysis of the data showed that risk perception mediated the association between COVID-19 knowledge and precautionary behavior and this indirect effect was in turn moderated by gender. Results indicate that having adequate knowledge of COVID-19 was linked to higher involvement in precautionary behavior through risk perception for females but not for males. It was also noted that awareness campaigns and psychological intervention strategies on COVID-19 related activities may be particularly important for males more than females. Drawing from the health belief model, we recommend that COVID-19 awareness campaigns should target raising more awareness of the risks associated with the infection to make individuals engage more in precautionary behaviors. (shrink)

In 50 B.C. Cicero writes to Atticus as follows : ‘Brundisium uenimus VII Kalend. Decembr. usi tua felicitate nauigandi; ita belle nobis flauit ab Epiro lenissimus Onchesmites. hunc si cui boles pro tuo uendito.’ The antonomasia, the euphonic sibilance, and the mannered rhythm are all prominent in Cicero's hexameter. The line is a humorously concocted example of affected and Grecizing narrative. But it is also a line which, Atticus is to suppose, would value; presumably therefore it is meant to hit (...) off characteristics of their style. Cicero must in fact be parodying what he regards as a typical ‘neoteric’ line, and the significance of this simple fact has perhaps been underestimated. (shrink)

The philosophy of Edmund Husserl, by O. Becker.--The phenomenological philosophy of Edmund Husserl and contemporary criticism, by E. Fink.--The decisive phases in the development of Husserl's philosophy, by W. Biemel.--Husserl's concept of the "absolute," by R. Boehm.--Critical observations concerning Husserl's posthumous writings, by H. Wagner.--Husserl's departure from Cartesianism, by L. Landgrebe.

The Romans had various ways of justifying their imperial aims and methods, some high-minded, some less so. We find in particular that they could give honourable and satisfying explanations of their aims and methods in war. Here for example is Cicero: quare suscipienda quidem bella sunt ob earn causam, ut sine iniuria in pace uiuatur; parta autem uictoria conseruandi ii, qui non crudeles in bello, non immanes fuerunt, ut maiores nostri Tusculanos, Aequos…in ciuitatem etiam acceperunt, at Carthaginem…funditus sustulerunt…mea quidem sententia (...) paci, quae nihil habitura sit insidiarum, semper est consulendum. et cum iis, quos ui deuiceris, consulendum est, tum ii qui armis positis and imperatorum fidem confugient, quamuis murum aries percusserit, recipiendi. (shrink)

In The Colorful Conservative, R.O.P. Lopez culls important insights into American culture from the works of Phillis Wheatley, Edgar Allan Poe, Henry David Thoreau, William Wells Brown, and Walt Whitman. Lopez contends that many of the tensions that emerged prior to the Civil War remain unresolved; thus, the nineteenth century never ended and Americans still live in the literary framework of the 1800s. Beyond political distinctions of the left and the right, there are really four poles: The Left, The Conformist (...) Burkeans, The Anarchist-Nihilist-Libertarians, and The Colorful Conservatives. The Left and the Colorful Conservatives are the two poles most at odds with each other. The Colorful Conservatives, Lopez argues, encompass these five American authors and are the driving force behind many unique paradoxes in the United States' political culture"--Back cover. (shrink)