We present a novel variant of decision making based on the mathematical theory of separable Hilbert spaces. This mathematical structure captures the effect of superposition of composite prospects, including many incorporated intentions, which allows us to describe a variety of interesting fallacies and anomalies that have been reported to particularize the decision making of real human beings. The theory characterizes entangled decision making, non-commutativity of subsequent decisions, and intention interference. We demonstrate how the violation of the Savage’s sure-thing principle, known (...) as the disjunction effect, can be explained quantitatively as a result of the interference of intentions, when making decisions under uncertainty. The disjunction effects, observed in experiments, are accurately predicted using a theorem on interference alternation that we derive, which connects aversion-to-uncertainty to the appearance of negative interference terms suppressing the probability of actions. The conjunction fallacy is also explained by the presence of the interference terms. A series of experiments are analyzed and shown to be in excellent agreement with a priori evaluation of interference effects. The conjunction fallacy is also shown to be a sufficient condition for the disjunction effect, and novel experiments testing the combined interplay between the two effects are suggested. (shrink)

Для широкого круга читателей (слушателей, аспирантов, преподавателей) интересующихся данной проблемой.

This work is devoted to the relations between Lambek’s Syntactic Calculus and noncommutative variants of Girard’s Linear Logic; in particular the paper will consider: the geometrical representation of the laws of LC by means of proof-nets; the discovery - due to such a geometrical representation - of some laws of LC not yet considered; the discussion of possible linguistic uses of these new laws.

We study increasing F-sequences, where F is a dilator: an increasing F-sequence is a sequence (indexed by ordinal numbers) of ordinal numbers, starting with 0 and terminating at the first step x where F(x) is reached (at every step x + 1 we use the same process as in decreasing F-sequences, cf. [2], but with "+ 1" instead of "- 1"). By induction on dilators, we shall prove that every increasing F-sequence terminates and moreover we can determine for every dilator (...) F the point where the increasing F-sequence terminates. We apply these results to inverse Goodstein sequences, i.e. increasing (1 + Id) (ω) -sequences. We show that the theorem every inverse Goodstein sequence terminates (a combinatorial theorem about ordinal numbers) is not provable in ID 1 . For a general presentation of the results stated in this paper, see [1]. We use notions and results concerning the category ON (ordinal numbers), dilators and bilators, summarized in [2, pp. 25-31]. (shrink)

Издание представляет результаты исследования малоизученной темы социально-экономических доктрин консерватизма. Оно отражает их развитие от времени выражения их в виде утопий, погруженных в более общие социально-философские и политические учения.

We introduce proof nets and sequent calculus for the multiplicative fragment of non-commutative logic, which is an extension of both linear logic and cyclic linear logic. The two main technical novelties are a third switching position for the non-commutative disjunction, and the structure of order variety.

As philosophers of mind we seem to hold in common no very clear view about the relevance that work in psychology or the neurosciences may or may not have to our own favourite questions—even if we call the subject ‘philosophical psychology’. For example, in the literature we find articles on pain some of which do, some of which don't, rely more or less heavily on, for example, the work of Melzack and Wall; the puzzle cases used so extensively in discussions (...) of personal identity are drawn sometimes from the pleasant exercise of scientific fantasy, at times from surprising reports of scientific fact; and there are those who deny, as well as those who affirm, the importance of the discovery of rapid-eye-movement sleep to the philosophical treatment of dreaming. A general account of the relation between scientific, and philosophical, psychology is long overdue and of the first importance. Here I shall limit myself to just one area where the two seem to connect, discussing one type of neuropsychological research and its relevance to questions in the philosophy of mind and the philosophy of psychology. (shrink)

This set reprints volumes that were orginally published by Routledge and Kegan Paul Ltd. in 1953. Landmark volumes at the time of their original publication, these titles do not merely expound the theoretical constructions of Russian philosophers, but also relate these constructions to the general conditions of Russian life. Volume One examines the historical conditions of the development of philosophy in Russia and explores the general features of Russian philosophy. It also surveys the principal works on the history of Russian (...) philosophy. Volume Two includes biographies and examination of the themes of the following philosophers; Vladimir Solovyov, V.D. Kudryavtsev, N.F. Fyodorov and Later Hegelians such as Chicherin, Debolski and Bakunin. This volume also provides analysis of various schools of thought in Russian philosophy in the twentieth century, for example; Neo-Leibzianism, Modern Positivism and New-Marxism to name but a few. (shrink)

The institution of the principle of distribution in accordance with work performed in the process of the building of socialism and the consistent implementation of this principle under the conditions of developed socialism are powerful factors in the establishment and consistent implementation of the principle of the universality of work. In the course of the building of communism, payment in accordance with work done will remain the principal source of growth of incomes. Therefore, the completeness of satisfaction of people's requirements (...) and their prosperity depend predominantly on the amount and quality of the work given to society. However, a high level of communist consciousness presumes not merely participation in social labor but a perceived need to work as efficiently and productively as possible. (shrink)

This study offers a critical analysis of Husserl's theory of meaning. The author commences by delineating the position and function of Husserl's meaning theory in the sum total of his phenomenological philosophy. He goes on to demonstrate that this theory was conceived as an integral component of Husserl's theory of knowledge. (edited).

Russkai︠a︡ t︠erkovʹ i drugie statʹi -- V temnykh religioznykh luchakh.

Анализируется круг проблем, к которым было приковано преимущественное внимание русских философов указанного периода. Это - идущее от А. С. Хомякова философское осмысление Божественного Триединства.