Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.

Boldly focusing on sexuality as a crucial definer of social order, Being and Symptom argues that there is an "M theory" -- a master theory of theories -- not only in Quantum Physics, but also in Continental Philosophy, Psychoanalysis, and Sociology, disclosing how the ontological structure of the "fantastic four" ingredients of metaphysics (potentiality, impotentiality, actuality, completion) has recurred through time. Öğüt also seeks to turn Thomas Hobbes's political philosophy into a social theory within the fields of sexuality and sovereignty (...) and to locate parallels among Aristotle, Ibn Khaldun, Kant, Hegel, Heidegger, Foucault, Lacan, Agamben, Nash, Derrida, Girard, Kristeva, and Žižek, with a special emphasis on how Žižek has adapted Lacanian psychoanalysis into social theory. Öğüt conveys a highly original analysis of the unconscious of our social (sexual) relations, subjectivities, and politics. (shrink)

LANGUAGE NOTE | Document text in Chinese; abstract also in English. 在這篇與黑格爾乃至整個西方現代性訣別的力作中，唐文明教授為我們展現了一種立足於儒家自身的批判性視角，同時也指明了一條通往人倫重建的積極道路。著手閲讀這篇文章的第一個困難或者疑惑可能是：為什麼是承認理論 ？我們知道，自近代中國遭遇西方現代性的衝擊以來，儒學面臨的首要危局就是人倫的解體，而其解體的核心動力就是以平等為基本訴求的現代個體性的覺醒。因此，對於服膺儒學的現代學者來説，如何在現代性的處境中重新理 解與恢復人倫的意義就成了首要問題。(撮要取自內文首段) Professor Tang's article continues his previous research on the intellectual history of the normative reconstruction of human relationships in modern Confucianism and provides a thorough reflection of this reconstruction based on the recognition theory. Drawing on the concept of “Natality” in Augustine's thought, the article proposes a protological conception of original recognition as a reflection of Hegel's and Honneth's desire-based recognition theory. The question of how to properly understand (...) the concept of immortality in this original recognition theory is a crucial issue, and this paper argues that in Confucian tradition, the concept of immortality must be analyzed with a basis in human ethics rather than purely through the immortality of the soul. (shrink)

Understanding a proposition for an intelligent agent is an important epistemic concept. We first discuss intuitively general logic characteristics of understanding, and give a language and a semantics containing understanding as a modal operator. Secondly, we develop the system LU for the operator, give some results of its proof theory, and then we prove the frame soundness and frame completeness of LU.

A free ultrafilter $\mathcal{U}$ on $\omega$ is called a $T$-point if, for every countable group $G$ of permutations of $\omega$, there exists $U\in\mathcal{U}$ such that, for each $g\in G$, the set $\{x\in U:gx\ne x, gx\in U\}$ is finite. We show that each $P$-point and each $Q$-point in $\omega^*$ is a $T$-point, and, under CH, construct a $T$-point, which is neither a $P$-point, nor a $Q$-point. A question whether $T$-points exist in ZFC is open.

Research on social influences often distinguishes between social and quality incentives to ascribe meaning to the value that popularity conveys. This study examines the neural correlates of those incentives through which popularity influences preferences. This research reports an functional magnetic resonance imaging experiment and a behavioral task in which respondents evaluated popular products with three focus perspectives; unspecified focus, focus on social aspects, and focus on quality. The results show that value derived with a social focus reflects inferences of approval (...) and reward value, and positively affects preferences. Value derived with a quality focus reflects inferences of quality and negatively affects preferences. This study provides evidence of two distinct inferential routes on both a neurological level, represented by different regions in the brain, and a behavioral level. These results provide the first evidence that a single popularity cue can in different ways influence the value derived from product popularity. (shrink)

The ideas of R. G. Nazirov on the fact that relationship of F. M. Dostoevsky with his contemporary writers and thinkers was ‘silent collaboration‘ are elaborated in the article. It is shown that the attitude of Dostoevsky brothers’ journal ‘Vremya‘ to Tolstoy’s educational activity and creative work in the beginning of the 1860’s is the example of such ‘silent collaboration‘. The first comprehensive analysis of any and all references to Tolstoy presented in the journal ‘Vremya‘ was carried out: A. U. (...) Poretskiy’s note on the journal ‘Yasnaya Polyana‘, special anonymous article about Tolstoy’s journal, ‘Zhurnal’naya zametka‘ by Dostoevsky, articles by I. G. Dolgomest’ev ‘Nekotorye pedagogicheskie i nauchnye tendentsii‘ and ‘Skazanie o ’Durakovoi pleshi‘’, a series of articles by A. A. Crigoriev about Tolstoy’s stories and the article by Ya. P. Polonsky about ‘Kazaki‘. It is proved that Tolstoy, first of all, attracted Dostoevsky as a talented and indigenous educator, while his creative work was considered rather ambiguous within the journal. The current research is based on the set of literary methods including biographical, comparative, historico-literary, and intertextual. (shrink)