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.

For centuries, philosophers of time have produced texts containing words and pictures. Although some historians study visual representations of time, I have not found any history of philosophy on pictures of time within texts. This paper argues that studying such pictures can be rewarding. I will make this case by studying pictures of time in the works of Leibniz, Arthur Eddington and C. D. Broad, and argue they play subtle roles. Further, I will argue that historians of philosophy more widely (...) could benefit from paying more attention to pictures. (shrink)

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.

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).

We define proof nets for cyclic multiplicative linear logic as edge bi-coloured graphs. Our characterization is purely graph theoretical and works without further complication for proof nets with cuts, which are usually harder to handle in the non-commutative case. This also provides a new characterization of the proof nets for the Lambek calculus (with the empty sequence) which simply are a restriction on the formulas to be considered (which are asked to be intuitionistic).

Illness and hospitalization are sources of vulnerability; they arguably endow nurses and midwives with the moral obligation to develop caring relationships with patients. Fairness and the equal treatment of patients are central to moral practice; current government publications are giving this political emphasis. This article argues that patient partiality is one factor that may result in insidiously unequal caregiving. Data generated during a qualitative study into professional caring suggest that patient partiality is an accepted part of everyday practice. Factors such (...) as the patient’s personality, nurse-patient familiarity and the perceived level of patients’ understanding and interest in their illness emerged as possible sources of partiality and influence on practitioners’ interactions with patients. The article argues that patient partiality can be managed morally if practitioners develop self-awareness and constantly reflect on the moral integrity of everyday practice. Throughout the article, unless it is stated that specific reference is being made to either nurses or midwives, reference to a nurse or practitioner denotes both. It is also emphasized that no implication is intended that any study participants provided unequal care. Rather, data are utilized solely to generate focused discussion around the concept of patient partiality. (shrink)