We study the sets definable in an algebraic number field by first order formulas of various simple types, showing in particular that N and Z do not have very simple definitions.

The study of cultural evolution has taken on an increasingly interdisciplinary and diverse approach in explicating phenomena of cultural transmission and adoptions. Inspired by this computational movement, this study uses Bayesian networks analysis, combining both the frequentist and the Hamiltonian Markov chain Monte Carlo (MCMC) approach, to investigate the highly representative elements in the cultural evolution of a Vietnamese city’s architecture in the early 20th century. With a focus on the façade design of 68 old houses in Hanoi’s Old Quarter (...) (based on 78 data lines extracted from 248 photos), the study argues that it is plausible to look at the aesthetics, architecture, and designs of the house façade to find traces of cultural evolution in Vietnam, which went through more than six decades of French colonization and centuries of sociocultural influence from China. The in-depth technical analysis, though refuting the presumed model on the probabilistic dependency among the variables, yields several results, the most notable of which is the strong influence of Buddhism over the decorations of the house façade. Particularly, in the top 5 networks with the best Bayesian Information Criterion (BIC) scores and p<0.05, the variable for decorations (DC) always has a direct probabilistic dependency on the variable B for Buddhism. The paper then checks the robustness of these models using Hamiltonian MCMC method and find the posterior distributions of the models’ coefficients all satisfy the technical requirement. Finally, this study suggests integrating Bayesian statistics in the social sciences in general and for the study of cultural evolution and architectural transformation in particular. (shrink)

Jun Otsuka, in his recent work Thinking About Statistics (2023), undertakes a philosophical investigation of fundamental statistical methodologies, with a particular emphasis on causal inference. In his ontological analysis of causal inference, Otsuka posits that causal analysis, within a given causal model, requires the modification of the underlying probabilistic distribution. This modification, he argues, effectively constitutes a transition between possible worlds. Consequently, Otsuka identifies the objective of causal inference as the discovery of inter-world laws that govern the relationships between these (...) distinct probabilistic models (Otsuka 2023, p.168). Granting Otsuka’s ontological commitments regarding causal and probabilistic models, his interpretation of certain causal analyses as inherently inter-worldly is indeed compelling. This perspective merits particular attention given the prevailing tendency to view such analyses to mere rules for estimating causal effects. While this review does not directly challenge Otsuka’s position, it aims to further explore and contribute to this stimulating concept. (shrink)

Plato. The republic.--Aristotle. Politics.--Cicero, M. T. On the commonwealth.--John of Salisbury. The prince versus the tyrant.--Machiavelli, N. The prince and the people.--Hobbes, T. The state of nature and the Leviathan.--Locke, J. The right of revolution.--Marx, K. and Engels, F. Bourgeois and proletarians.--Bakunin, M. A. The Paris Commune and the idea of the state.--Mill, J. S. On liberty.--Lenin, V. I. Marxism and the withering away of the state.--Hitler, A. Race and the folkish state.--Mao Tse-tung. From the masses, to the masses.--Che (...) Guevara, E. Create two, three, many Vietnams. (shrink)

Festschrift in honor of S.P. Dubey, Indian philosopher; contributed articles.

In lieu of an abstract, here is a brief excerpt of the content:Notes and Fragments RAILING AGAINST REALISM: PHILOSOPHY AND TO THE LIGHTHOUSE by S. P. ROSENBAUM The argument of Graheim Parkes's "Imagining Reality in To the Lighthouse" is described by its author as "a railing against the realist position" (p. 35) as he understands it primarily in my article "The Philosophical Reedism ofVirginia Woolf." ' Apart from the question of whemer railing is a useful way of conducting an inquiry (...) into literature and philosophy, Parkes's discussion raises several important issues about these connections. The way diey are raised, however, involves various mistedces and muddles that make a brief reply to his eurticle difficult. To begin with a small reveeding example, Parkes asserts that I miss the irony in Virginia Woolfs use of die letters P, Q, and R to describe Mr. Ramsay's problems of diought (p. 41). Here is what I wrote: "By representing Mr. Ramsay 's thinking as proceeding in die very genered form of conventional logical symbols, Virginia Woolf is wittily extending the standard letters used to symbolize die conditional type of argument, If P men Cf (p. 339, with italics added this time). Parkes's misreading of my text does not inspire confidence when he turns to Virginia Woolfs fiction or G. E. Moore's philosophy. On a more significant issue, Parkes complains that I boggle his mind by saying diat philosophically, Moore influenced Virginia Woolf more man anyone else, whereas Platonic ideas abound in her books (p. 35). Of course they do, but not very much in her epistemology, which was the subject of my eurticle.2 What Peirkes does not mention is that Plato was also a profound influence on Moore's philosophy. One of die reasons Moore's influence on Bloomsbury was so strong is that he reinterpreted Plato for them. In her images and ideas Virginia Woolf was influenced direcdy dirough her reading of Plato etnd also indirectly through the work of Plotinus and Moore. These influences are not easily sepeurated, which is why studies of Platonic emd Neoplatonic influences in her work that ignore Moore's significance are so incomplete. 89 90Philosophy and Literature Peirkes claims mat die evidence of Moore's influence on Virginia Woolf is slight (p. 34), and then he concerns himself with the putative influences of German philosophers for whom mere is no evidence at all. In the fifteen years since I wrote my article, the biographical evidence for Moore's influence has continued to accumulate as Virginia Woolfs letters, memoirs, emd dieiries were published. From her first novel, in which Principia Etnica is quoted emd briefly discussed, down to die recently discovered revised version of her last memoir, in which she reaffirms her deep respect for Moore,3 the indications of Moore's significance for Virginia Woolf ought to convince any disinterested reader. It cannot be dismissed with a sneer about "the voguish fascination of the Bloomsbury Group..." (p. 34), especially from someone proposing to study yet again the depth psychology of her fiction via Nietzsche and Heidegger (P- 44). Nothing I say here, of course, will persuade Parkes of the value of philosophical realism for understanding To the Lighthouse because diat philosophy, as he conceives of it in his article, consists of straw. To tedce just one exeimple, Peirkes appeeurs to believe Moore's epistemology etrgues "diat things and persons are what they are independently of human consciousness" (p. 37). There is no space here to explain philosophical realism again to Parkes, odier than to note that it is not inconsistent with the veirious concerns (to use Peurkes's terminology) about "transpersonal imagination" or "participation in phenomena" that he finds so interesting in the novel. But what about die novel? For readers indifferent to whether Moore or Russell, Nietzsche or Heidegger are to be found in To the Lighthouse, the relevant question is what such philosophical interpretations medce of it. To them I ceui only say, reread the novel and then ask yourselves if an account of it diat says nothing about die value of art and almost nodiing about the value oflove bears much resemblance to your reading experience. Parkes thinks the portrait of Mr. Ramsay is unsympathetic because he is criticized emd mocked... (shrink)

Students of the play have not appreciated the merits of W. Dindorf's proposal to delete lines 895–7: his conjecture is not reported by most editors; when reported it is not accepted; and it has been taken seriously perhaps only in an iobiter dictum of Wecklein. Nevertheless, the arguments in its favour are even more powerful than Dindorf realised.

In these notes it will be argued that our text of Cicero's Philippics may be improved in nearly a score passages by printing manuscript readings that editors have repeatedly spurned. If my detailed arguments are accepted, this article will have also a wider import, serving as a reminder that when a manuscript tradition is bifid both branches should be taken seriously, even if one branch is in general more corrupt than the other, and showing how modern technology may be harnassed (...) as a powerful aid in the study of Cicero's idiom. (shrink)

India is a major producer and exporter of hand-knotted carpets to the world since the beginning of the British rule over India. Majority of the hand-knotted carpets exported from India are produced in the Bhadohi-Mirzapur region, popularly called as the carpet belt of India. Given deplorable working conditions and very high prevalence of child labour in the cluster, in the mid-1990, four social labels were implemented to improve the labour standards, in addition to slew of labour laws implemented by the (...) state of India. The objective of this study is to explore the prevailing labour standards and effectiveness of social labels in improving labour standards in the hand-knotted carpet manufacturing cluster. This study found that even after the implementation of social labels and slew of labour laws, there had been barely any improvement in the working conditions of carpet workers. The workers continued to be adversely incorporated in the carpet commodity chain. However, realising that there is very little scope of social upgrading in this occupation, many carpet workers have shifted to other occupations. But this study found very few child workers in carpet manufactories in the cluster. (shrink)