A fully quantum-mechanical description of the spontaneous emission from an excited two-level atom placed in front of a two-slit interferometer is given. Global modes of the electromagnetic field in a two slit system are derived within the Kirchhoff-Huygens diffraction approximation, serving as a base for the field quantization. The standard Fermi's golden rule, supplemented by a factor coming from the nontrivial mode structure caused by the presence of the two-slit interferometer, is used to show that interference results from the position-dependent (...) coupling between the atom and different field modes of the system. (shrink)

Problems connected with the questions of: being-nonbeing, existence, modes of existence and alike, belong to the basic and most important in metaphysics. The article discusses some answers to the aforementioned issues, as proposed by the ancient philosophers, St Thomas Aquinas, R. Ingarden and A.N. Whitehead. In the Appendix some remarks are made on Aristotle’s and S. Thomas’ theory of act and potency.

We discuss in the paper the following problem: Given a function in a given Baire class, into "how many" (in terms of cardinal numbers) functions of lower classes can it be decomposed? The decomposition is understood here in the sense of the set-theoretical union.

Let J be any proper ideal of subsets of the real line R which contains all finite subsets of R. We define an ideal J * ∣B as follows: X ∈ J * ∣B if there exists a Borel set $B \subset R \times R$ such that $X \subset B$ and for any x ∈ R we have $\{y \in R: \langle x,y\rangle \in B\} \in \mathscr{J}$ . We show that there exists a family $\mathscr{A} \subset \mathscr{J}^\ast\mid\mathscr{B}$ of power ω (...) 1 such that $\bigcup\mathscr{A} \not\in \mathscr{J}^\ast\mid\mathscr{B}$ . In the last section we investigate properties of ideals of Lebesgue measure zero sets and meager sets in Cohen extensions of models of set theory. (shrink)

Recenzowana monografia naukowa dotyczy wybranych, niezwykle ważnych kwestii społecznych i etycznych, związanych z poszczególnymi etapami życia ludzkiego: jego początkiem, trwaniem i śmiercią. Składa się z dziewięciu artykułów, które łącznie tworzą szeroką panoramę współczesnych problemów bioetycznych. […] Jest przykładem ich dobrego diagnozowania, aktualizowania refleksji nad nimi i proponowania konkretnych rozwiązań, które odwołują się – co bardzo cenne – do rodzimych przykładów. […] Adresatami publikacji mogą być zarówno osoby profesjonalnie związane z szeroko rozumianą służbą zdrowia, studenci kierunków medycznych, jak i pacjenci oraz (...) ich rodziny, a także osoby zawodowo organizujące wsparcie w trudnych sytuacjach. Publikacja zainteresuje także osoby, które poszukują refleksji nad społecznie ważnymi kwestiami bioetycznymi, ukazanymi w perspektywie personalistycznej. Z recenzji ks. dr. hab. Zbigniewa Wanata, prof. UMK Monografia zawiera szereg interesujących tekstów analizujących dylematy moralne związane z początkiem i końcem ludzkiego życia. Poruszane zagadnienia są ważne i aktualne. W części pierwszej znajdują się opracowania dotyczące kwestii prenatalnych i okołoporodowych, w części drugiej – kwestii terminalnych, a na końcu tekst zwieńczający, dotyczący pojęcia sumienia […] Szczególnie cenne wydają się teksty prezentujące obszerne wyniki badań własnych (np. opieki nad dziećmi z zespołem Downa) i funkcjonowanie niedawno powstałych instytucji (jak hospicja perinatalne) albo opisujące proponowane procedury postępowania w praktyce (np. w stosunku do osób umierających). Inne teksty, nawet jeśli dotyczą zagadnień znanych (np. diagnostyki prenatalnej lub opieki nad ciężarnymi niepełnosprawnymi), omawiają je w sposób porządkujący dotychczasową wiedzę. Powyższe sprawia, że monografię można uznać za dzieło oryginalne. […] Wśród Autorów poszczególnych rozdziałów znajdują się osoby rozpoznawalne w środowisku medycznym i bioetycznym, co sprawia, że publikacja powinna cieszyć się zainteresowaniem w tych kręgach, a sformułowane w niej postulaty mogą mieć wartość aplikacyjną. Z recenzji dr. hab. med. Jakuba Pawlikowskiego, prof. UKSW. (shrink)

The termination of rewrite systems for parameter recursion, simple nested recursion and unnested multiple recursion is shown by using monotone interpretations both on the ordinals below the first primitive recursively closed ordinal and on the natural numbers. We show that the resulting derivation lengths are primitive recursive. As a corollary we obtain transparent and illuminating proofs of the facts that the schemata of parameter recursion, simple nested recursion and unnested multiple recursion lead from primitive recursive functions to primitive recursive functions.

Sixty years that have passed since the Warsaw Uprising are meaningful on the life scale of human generations. The Uprising, planned for 2 or 3 days, lasted in fact for 63 days. That fact astounded the military experts and was even noticed by the German high command, which has to be mainly ascribed to the exceptional tension of patriotism of the soldiers and the population.The Germans suffered especially great losses on the average around 1,900 weekly, almost twice as many as (...) during the highest intensity of fighting in 1944/45. On our side the losses were estimated at 18,000 dead and about 6,500–7,000 wounded insurgents. However, the Warsaw Uprising and the whole nation counted around 150,000 dead among the civilians.During the two months of the uprising 25% of the pre-war buildings in Warsaw were destroyed, mainly due to the barbarian practice of burning the whole streets. Against the conditions of the capitulation agreement just signed, the majority of historical monuments were burned down.In Warsaw, the tradition of sacrifices and solidarity in action, bravery and the deep attachment to liberty, manifested in September 1939, was alive and brought results all the time of war through the acts of the patriotic resistance organizations. The leaders of the Warsaw Uprising belonged to the resistance fighters before World War I and during it. The battle for independence was their curriculum vitae, and the majority of the uprising participants, the youth, was educated in the independent Polish Republic, in respect for patriotic traditions of independence fights and insurrections.Jerzy Kirchmajer believes that the Warsaw Uprising was an error, as it did not suit the Soviets; Jan Ciechanowski from London—that it was against the plans of the British ally. It is said sometimes that the Uprising started without calculating the possibility of a helping hand.Faith played a major role during the Uprising. The clergy helped the community every way they could. (shrink)

Originally presented as the author's thesis (doctoral)--Universite catholique de Louvain, 1990.

By B2 we denote the σ-ideal of all subsets A of the Cantor set {0,1}ω such that for every infinite subset T of ω the restriction A∣{0,1}T is a proper subset of {0,1}T. In this paper we investigate set theoretical properties of this and similar ideals.

There are three main kinds of causal connections between two events: the transfer of energy, the transfer of information and the triggering of the transfer of one of them or both. There are also other kinds of causal connections.

In this article we consider linear isomorphisms over the field of rational numbers between the linear spaces ℝ2 and ℝ. We prove that if f is such an isomorphism, then the image by f of the unit disk is a strictly nonmeasurable subset of the real line, which has different properties than classical non-measurable subsets of reals. We shall also consider the question whether all images of bounded measurable subsets of the plane via a such mapping are non-measurable.

Let F be a signature and R a strictly orthogonal rewrite system on ground terms of F . We give an effective proof of a bounding condition for R , based on a detailed analysis of how terms are transformed during the rewrite process, which allows us to give recursive bounds on the derivation lengths of terms. We give a syntactic characterisation of the Grzegorczyk hierarchy and a rewriting schema for calculating its functions. As a consequence of this, using results (...) of Elias Tahhan–Bittar, it can be shown that, for n⩾3 , the derivation length functions for functions in Grzegorczyk class E n belong to Grzegorczyk class E n+1 . We also give recursive bounds for the derivation lengths of functions defined by parameter recursion. (shrink)