An alternative notion of an existential quantifier on four-valued Łukasiewicz algebras is introduced. The class of four-valued Łukasiewicz algebras endowed with this existential quantifier determines a variety which is denoted by \. It is shown that the alternative existential quantifier is interdefinable with the standard existential quantifier on a four-valued Łukasiewicz algebra. Some connections between the new existential quantifier and the existential quantifiers defined on bounded distributive lattices and Boolean algebras are given. Finally, a completeness theorem for the monadic four-valued (...) Łukasiewicz predicate calculus corresponding to the dual of the alternative existential quantifier is proven. (shrink)

A recent rethinking of the early history of Quantum Mechanics deemed the late 1920s agreement on the equivalence of Matrix Mechanics and Wave Mechanics, prompted by Schrödinger's 1926 proof, a myth. Schrödinger supposedly failed to prove isomorphism, or even a weaker equivalence (“Schrödinger-equivalence”) of the mathematical structures of the two theories; developments in the early 1930s, especially the work of mathematician von Neumann provided sound proof of mathematical equivalence. The alleged agreement about the Copenhagen Interpretation, predicated to a large extent (...) on this equivalence, was deemed a myth as well. In response, I argue that Schrödinger's proof concerned primarily a domain-specific ontological equivalence, rather than the isomorphism or a weaker mathematical equivalence. It stemmed initially from the agreement of the eigenvalues of Wave Mechanics and energy-states of Bohr's Model that was discovered and published by Schrödinger in his first and second communications of 1926. Schrödinger demonstrated in this proof that the laws of motion arrived at by the method of Matrix Mechanics are satisfied by assigning the auxiliary role to eigenfunctions in the derivation of matrices (while he only outlined the reversed derivation of eigenfunctions from Matrix Mechanics, which was necessary for the proof of both isomorphism and Schrödinger-equivalence of the two theories). This result was intended to demonstrate the domain-specific ontological equivalence of Matrix Mechanics and Wave Mechanics, with respect to the domain of Bohr's atom. And although the mathematical equivalence of the theories did not seem out of the reach of existing theories and methods, Schrödinger never intended to fully explore such a possibility in his proof paper. In a further development of Quantum Mechanics, Bohr's complementarity and Copenhagen Interpretation captured a more substantial convergence of the subsequently revised (in light of the experimental results) Wave and Matrix Mechanics. -/- I argue that both the equivalence and Copenhagen Interpretation can be deemed myths if one predicates the philosophical and historical analysis on a narrow model of physical theory which disregards its historical context, and focuses exclusively on its formal aspects and the exploration of the logical models supposedly implicit in it. -/- . (shrink)

The success of particle detection in high energy physics colliders critically depends on the criteria for selecting a small number of interactions from an overwhelming number that occur in the detector. It also depends on the selection of the exact data to be analyzed and the techniques of analysis. The introduction of automation into the detection process has traded the direct involvement of the physicist at each stage of selection and analysis for the efficient handling of vast amounts of data. (...) This tradeoff, in combination with the organizational changes in laboratories of increasing size and complexity, has resulted in automated and semi-automated systems of detection. Various aspects of the semi-automated regime were greatly diminished in more generic automated systems, but turned out to be essential to a number of surprising discoveries of anomalous processes that led to theoretical breakthroughs, notably the establishment of the Standard Model of particle physics. The automated systems are much more efficient in confirming specific hypothesis in narrow energy domains than in performing broad exploratory searches. Thus, in the main, detection processes relying excessively on automation are more likely to miss potential anomalies and impede potential theoretical advances. I suggest that putting substantially more effort into the study of electron–positron colliders and increasing its funding could minimize the likelihood of missing potential anomalies, because detection in such an environment can be handled by the semi-automated regime—unlike detection in hadron colliders. Despite virtually unavoidable excessive reliance on automated detection in hadron colliders, their development has been deemed a priority because they can operate at currently highest energy levels. I suggest, however, that a focus on collisions at the highest achievable energy levels diverts funds from searches for potential anomalies overlooked due to tradeoffs at the previous energy thresholds. I also note that even in the same collision environment, different research strategies will opt for different tradeoffs and thus achieve different experimental outcomes. Finally, I briefly discuss current searches for anomalous process in the context of the previous analysis. (shrink)

E. Schrödinger's ideas on interpreting quantum mechanics have been recently re-examined by historians and revived by philosophers of quantum mechanics. Such recent re-evaluations have focused on Schrödinger's retention of space–time continuity and his relinquishment of the corpuscularian understanding of microphysical systems. Several of these historical re-examinations claim that Schrödinger refrained from pursuing his 1926 wave-mechanical interpretation of quantum mechanics under pressure from the Copenhagen and Göttingen physicists, who misinterpreted his ideas in their dogmatic pursuit of the complementarity doctrine and the (...) principle of uncertainty. My analysis points to very different reasons for Schrödinger's decision and, accordingly, to a rather different understanding of the dialogue between Schrödinger and N. Bohr, who refuted Schrödinger's arguments. Bohr's critique of Schrödinger's arguments predominantly focused on the results of experiments on the scattering of electrons performed by Bothe and Geiger, and by Compton and Simon. Although he shared Schrödinger's rejection of full-blown classical entities, Bohr argued that these results demonstrated the corpuscular nature of atomic interactions. I argue that it was Schrödinger's agreement with Bohr's critique, not the dogmatic pressure, which led him to give up pursuing his interpretation for 7 yr. Bohr's critique reflected his deep understanding of Schrödinger's ideas and motivated, at least in part, his own pursuit of his complementarity principle. However, in 1935 Schrödinger revived and reformulated the wave-mechanical interpretation. The revival reflected N. F. Mott's novel wave-mechanical treatment of particle-like properties. R. Shankland's experiment, which demonstrated an apparent conflict with the results of Bothe–Geiger and Compton–Simon, may have been additional motivation for the revival. Subsequent measurements have proven the original experimental results accurate, and I argue that Schrödinger may have perceived even the reformulated wave-mechanical approach as too tenuous in light of Bohr's critique. (shrink)

I argue that instead of a rather narrow focus on N. Bohr's account of complementarity as a particular and perhaps obscure metaphysical or epistemological concept (or as being motivated by such a concept), we should consider it to result from pursuing a particular method of studying physical phenomena. More precisely, I identify a strong undercurrent of Baconian method of induction in Bohr's work that likely emerged during his experimental training and practice. When its development is analyzed in light of Baconian (...) induction, complementarity emerges as a levelheaded rather than a controversial account, carefully elicited from a comprehensive grasp of the available experimental basis, shunning hasty metaphysically motivated generalizations based on partial experimental evidence. In fact, Bohr's insistence on the “classical” nature of observations in experiments, as well as the counterintuitive synthesis of wave and particle concepts that have puzzled scholars, seem a natural outcome (an updated instance) of the inductive method. Such analysis clarifies the intricacies of early Schrödinger's critique of the account as well as Bohr's response, which have been misinterpreted in the literature. If adequate, the analysis may lend considerable support to the view that Bacon explicated the general terms of an experimentally minded strand of the scientific method, developed and refined by scientists in the following three centuries. (shrink)

Rad predstavlja pokusaj da se jedna konkretna naucna polemika o temi koja je opterecena znatnim ideoloskim nabojem "zanrovski" preusmeri ka formi naucnog dijaloga, i time ucini plodnijom u naucnom smislu. Glavna pitanja koja se razmatraju ticu se pokusaja teorijskog odredjenja petooktobarske revolucije i uloge koju je pokret "Otpor" imao u njoj. U radu se brani teza da teorijski modeli "talasa demokratizacije" i "izborne revolucije" nude najutemeljenije okvire za razmatranje pitanja koja se u tekstu otvaraju. Kljucni problemi o kojima se u (...) radu raspravlja su sledeci: u kojoj meri oslanjanje na strane izvore i teorijske okvire zakrivljuje uvide u lokalne politicke procese kakva je razlika izmedju "uvezenih" i "izbornih revolucija"; koje su posebnosti izborne revolucije u Srbiji i koje je njeno mesto u "drugom talasu" postkomunisticke demokratizacije; koliki je relativni znacaj stranih i lokalnih inicijativa prilikom organizovanja izbornih revolucija; u cemu je razlika izmedju klasicnih odnosa izmedju davalaca i primalaca politicke pomoci i novih odnosa, koji se zasnivaju na nacelu sinergije; koja su ogranicenja ili-ili logike objasnjenja u razmatranju politicke saradnje stranih i domacih aktera; sta povezuje strategiju nenasilnog otpora, proaktivnu logiku politickog delovanja i Otporov "Plan B"; najzad, postoji li mehanicka veza izmedju prisustva strane pomoci i gubljenja kontrole nad rezultatima izborne revolucije. U zavrsnom odeljku, otvara se pitanje negativnih i pozitivnih aspekata nasledja Otpora kao politickog projekta i nudi pokusaj da se razmatranje o dometima pokreta poveze sa razumevanjem "dinamike nade" kao politickog projekta na kojem je Otpor sistematski radio. (shrink)

We historically trace various non-conventional explanations for the origin of the cosmic microwave background and discuss their merit, while analyzing the dynamics of their rejection, as well as the relevant physical and methodological reasons for it. It turns out that there have been many such unorthodox interpretations; not only those developed in the context of theories rejecting the relativistic paradigm entirely but also those coming from the camp of original thinkers firmly entrenched in the relativistic milieu. In fact, the orthodox (...) interpretation has only incrementally won out against the alternatives over the course of the three decades of its multi-stage development. While on the whole, none of the alternatives to the hot Big Bang scenario is persuasive today, we discuss the epistemic ramifications of establishing orthodoxy and eliminating alternatives in science, an issue recently discussed by philosophers and historians of science for other areas of physics. Finally, we single out some plausible and possibly fruitful ideas offered by the alternatives. (shrink)

Forty years ago the majority of prospective teachers in the UK pursued a four year degree course (B.Ed). The situation has now dramatically changed. Most qualified teachers are graduates who gain a...

"Professor B. Petrov" is actually the nom de plume of Boris Petrovich Vysheslavtsev, a professor of philosophy in the Faculty of Law at Moscow University from 1917 to 1922, well known in Russian émigré circles as the author of a number of technically competent and stylistically brilliant studies in philosophy and psychology. His last published work, The Crisis of Industrial Civilization: Marxism, Neo-Socialism, Neo-Liberalism, is a significant contribution to social philosophy. Vysheslavtsev is distinguished by a scholar's intimacy with the (...) philosophic doctrines of Kant, Fichte, Hegel, Feuerbach, Marx, and Lenin, together with an imaginative and disciplined command of at least the major contemporary developments in sociology, psychology, economics, and jurisprudence. (shrink)

Let ${\mathbb{B}}$ and ${\mathbb{C}}$ be Boolean algebras and ${e: \mathbb{B}\rightarrow \mathbb{C}}$ an embedding. We examine the hierarchy of ideals on ${\mathbb{C}}$ for which ${ \bar{e}: \mathbb{B}\rightarrow \mathbb{C} / \fancyscript{I}}$ is a regular (i.e. complete) embedding. As an application we deal with the interrelationship between ${\fancyscript{P}(\omega)/{{\rm fin}}}$ in the ground model and in its extension. If M is an extension of V containing a new subset of ω, then in M there is an almost disjoint refinement of the family ([ω]ω) V (...) . Moreover, there is, in M, exactly one ideal ${\fancyscript{I}}$ on ω such that ${(\fancyscript{P}(\omega)/{{\rm fin}})^V}$ is a dense subalgebra of ${(\fancyscript{P}(\omega)/\fancyscript{I})^M}$ if and only if M does not contain an independent (splitting) real. We show that for a generic extension V[G], the canonical embedding $$\fancyscript{P}^V(\omega){/}{\rm fin}\hookrightarrow \fancyscript{P}(\omega){/}(U(Os)(\mathbb{B}))^G$$ is a regular one, where ${U(Os)(\mathbb{B})}$ is the Urysohn closure of the zero-convergence structure on ${\mathbb{B}}$. (shrink)

In the mid-decade, researchers have been researching large scale scientific studies on major archival documents. Certain things could be said about the emergence of trends that produce books of historical and religious personnel in the format of published archival files, which first appear when introduced: the opening of an archive, the preservation of the regime of inaccessible funds that allow scientists to access primary sources. In connection with this topic, this study is relevant and relevant.

The subject of the article is a mass psychology of B.P. Vysheslavtsev. This is a socio-philosophical conception, which created by Vysheslavtsev through the synthesizing of German classical philosophy, neo-Kantianism, Russian religious philosophy and analytical psychology. He developed the mass psychology in close collaboration with C.G. Jung by his direct order. The mass psychology, despite the heterogeneity of its foundations, became an organic continuation of analytical psychology. Moreover, there is reason to suppose that Vysheslavtsev's socio-philosophical and religious ideas influenced all of (...) Jung’s later work. The main method used was a comparative analysis of the ideas of Vysheslavtsev and Jung, as well as a critical interpretation of the original sources, including unpublished archival materials — letters and manuscripts. The novelty lies in the fact that previously the mass psychology of Vysheslavtsev eluded the attention of researchers. This is primarily due to the inaccessibility of sources on this issue, since some of them are either not published and stored in archives, including the Bakhmeteff Archive (Columbia University in the City of New York) and C.G. Jung Papers Collection (ETH Zurich University Archive), or was published in rare foreign journals and not translated into Russian. At the same time, without these sources it is difficult to understand not only the evolution of Vysheslavtsev’s views, but also the logic and reasons for the development of Jung’s ideas from the 1940s to his death. Thus, this article is intended to partially replenish these gaps in the history of Russian and European philosophy and psychology. Предметом исследования данной статьи является созданная на основе синтеза немецкой классической философии, неокантианства, русской религиозной философии и аналитической психологии социально-философская концепция Б.П. Вышеславцева, названная им "массовая психология". Данная концепция разрабатывалась в тесном взаимодействии с К.Г. Юнгом, в том числе, по его непосредственному заказу. Массовая психология Вышеславцева, несмотря на разнородность её основ, стала органичным продолжением аналитической психологии. Более того, есть основания полагать, что социально-философские и религиозные идеи Вышеславцева оказали влияние на всё позднее творчество Юнга. В качестве основного метода использовался компаративный анализ идей Вышеславцева и Юнга, а также критическая интерпретация первоисточников, включая неопубликованные архивные материалы - письма и рукописи. Новизна заключается в том, что ранее массовая психология Вышеславцева ускользала от внимания исследователей. Обусловлено это, в первую очередь, труднодоступностью источников по данной проблеме, так как часть из них либо не опубликована и хранится в архивах, в том числе в Бахметьевском архиве Колумбийского университета (Нью-Йорк) и Архиве Юнга (Цюрих), либо была опубликована в редких иностранных изданиях и не переведена на русский язык. Вместе с тем, без данных источников трудно понять не только эволюцию взглядов Вышеславцева, итогом которой стал труд "Кризис индустриальной культуры", но также логику и причины развития представлений Юнга начиная с 1940-х годов и заканчивая его смертью. Тем самым, данная статья призвана отчасти восполнить указанные лакуны в истории русской и европейской философии и психологии. (shrink)

Susan Schneider argues that physicalism must be false if abstracta are part of the physicalist's dependence base. In opposition to her view, here I set out some reasons to think that abstracta in general, including abstracta that are woven into the dependence base, are something physicalists can countenance with consistency.