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.

The main result of this paper is that if $\kappa$ is not a weakly Mahlo cardinal, then the following two conditions are equivalent: 1. $\mathscr{P}(\kappa)/ \mathscr{J}$ is $\kappa^+$-complete. 2. $\mathscr{J}$ is a prenormal ideal. Our result is a generalization of an announcement made in [Z]. We say that $\mathscr{J}$ is selective iff for every $\mathscr{J}$-function $f: \kappa \rightarrow \kappa$ there is a set $X \in \mathscr{J}$ such that $f\mid(\kappa - X)$ is one-to-one. Our theorem provides a positive partial answer to (...) a question of B. Weglorz from [BTW, p. 90], viz.: is every selective ideal $\mathscr{J}$, with $\mathscr{P}(\kappa)/\mathscr{J} \kappa^+$-complete, isomorphic to a normal ideal? The theorem is also true for fine ideals on $\lbrack\lambda\rbrack^{<\kappa}$ for any $\kappa \leq \lambda$, i.e. if $\kappa$ is not a weakly Mahlo cardinal then the Boolean algebra $\mathscr{P} (\lbrack\lambda\rbrack^{<\kappa})/\mathscr{J}$ is $\lambda^+$-complete iff $\mathscr{J}$ is a prenormal ideal (in the sense of $\lbrack\lambda\rbrack^{<\kappa})$. (shrink)

There are various equivalent formulations of the Church-Turing thesis. A common one is that every effective computation can be carried out by a Turing machine. The Church-Turing thesis is often misunderstood, particularly in recent writing in the philosophy of mind.

Georgians' acquaintance with Islam was with the first Arab raids. From the first Muslim Arab domination, Georgians started to become Muslims with cultural interaction. Islam spread especially in Eastern Georgia during the time of Muslim Arabs, Seljuks and Mongols. The spread of Islam in Western Georgia started with the Ottomans. The Ottoman Empire's contact with Georgia begins with the conquest of Trabzon by Fatih Sultan Mehmed. When the Ottomans contacted the region, the geography of Georgia was divided into small kingdoms. (...) With the conquest of Trabzon, the Georgian border was reached and in 1479, Acaristan, Borcka and Maçahel surroundings joined the Ottoman lands. On the one hand, Sukhumi was captured from the north. Then, continuing to advance in the region, Yavuz Sultan Selim paid tribute to the Kingdom of Güryel and Imeret (Açıkbaş) in 1508 during his governorship of Trabzon. Thus, the Ottoman borders had reached beyond the Black Sea coast into Western Georgia. As a result of the increasing relations around Adjaria, which came under Ottoman rule, Islamization began to spread rapidly among the people. Contrary to what is claimed, the spread of Islam in the region did not spread from the ruling strata to the lower, but from the popular strata to the ruling strata. This process was surprisingly fast. In the process of Islamization, many mosques, masjids and schools were built in Adjara, especially with the help of the people. The foundations operating in the region and the mosques and masjids serving under them show that, contrary to the claims of Russian and Georgian historians, Islamization took place rapidly at the beginning of the 17th century in Adjara. In this process, many mosques, masjids and schools were built in the region. In this research, based on the numerous Hurufat records belonging to Adjara, Batumi, Gönye, Çürüksu and Maçahel, the Islamization process will be evaluated by making a social reading with the data obtained from the religious structures established in the rural settlements of the Adjara geography and their officials. Evaluations were made on the Islamization process in Adjara by making a social reading. (shrink)

Philosophy of history is analyzed here from the point of its epistemological and ontological meaning. The author considers that the ontological point of view makes it possible to conceptualize the history as the unity of its all times - Past, Present and Future. The connection between these three times based on their relation to the concept of Eternity which has been symbolically formed within the mythological, religious and utopian Weltanschauung. The necessity of these relations transforms philosophy of history into a (...) special kind of ontological historical knowledge. The study of history from the prospect of unity is only possible within the historical interpretation of Future as an epoch of bridging the gap between Time and Eternity. Author calls this philosophical concept the Time of Freedom. (shrink)

Med hjemmel i de lovfestede spesielle god skikk-reglene har flere yrker utformet yrkesetiske regler med en lovmessig forankring. Denne artikkelen tar utgangspunkt i fem yrker og gir en juridisk analyse av god revisorskikk, god advokatskikk, god regnskapsføringsskikk, god meglerskikk og god landmålerskikk. Formålet er å sammenligne den rettslige betydningen av disse SGS-reglene. De sammenlignes ut fra hjemmelsgrunnlaget og hvilken bransjeorganisasjon som har utformet de yrkesetiske reglene, autorisasjonsordning og en hypotese om at de yrkesetiske reglene inneholder følgende elementer: profesjonsansvar, integritet, objektivitet, (...) taushetsplikt og kompetansekrav.Sammenligningen viser at lovfestede SGS-regler har ført til at de aktuelle bransjeorganisasjonene har tatt ansvar for å utforme de yrkesetiske reglene. Når det gjelder autorisasjonsordningen, har Finanstilsynet ansvaret for autorisasjonene til revisorer, regnskapsførere og eiendomsmeglere. For advokater har Tilsynsrådet for advokatvirksomhet ansvaret for å føre tilsyn med advokatbevillingene, mens landmålerne ikke er underlagt en autorisasjonsordning.Analysen viser at en finner de fem elementene både i god revisorskikk, god advokatskikk, god regnskapsføringsskikk og god landmålerskikk. God meglerskikk er derimot svært forskjellig fra de andre yrkesetiske reglene. Samlet viser analysene at de yrkesetiske reglene har en viss rettslig betydning, selv om den varierer.Nøkkelord: lovfestede god skikk-regler, yrkesetiske reglerEnglish summary: The significance of ethical rules based on legislated rules for Code of ConductIn accordance with statutory authority rules for Code of conduct, several professions have designed ethical rules with a legal foundation. This article is based on a legal analysis of CoC for auditors, lawyers, accountants, real estate agents and for land surveyors. The purpose of the article is to compare the legal significance of these rules for the CoC. The various rules for CoC are compared in terms of their legal basis, the professional organisation which has designed the professional ethical rules and the system of authorisation. The rules for CoC are also compared in a hypothesis about five elements. The hypothesis is that the ethical rules contain the following elements: professionalism, integrity, objectivity, confidentiality and competency.The comparison shows that legislated rules for CoC have enabled the relevant professional organisations to take responsibility for designing professional ethical rules. In the case of system of authorisation, the «Financial Supervisory Authority of Norway» is responsible for authorising auditors, accountants and real estate agents. For lawyers the «Supervisory Council For Legal Practice» is responsible for supervising their authorisation, whereas land surveyors are not subject to an authorisation system – either public or professional.The analysis shows that one can find all five elements in the CoC for auditors, lawyers, accountants, and land surveyors. The CoC for real estate agents, however, is different from the other ethical rules. Overall, the analysis shows that the ethical rules have a certain legal significance, although it varies. (shrink)

Brian Wormald provides a fundamental reappraisal of one of the most complex and innovative figures of the late-Elizabethan and Jacobean age. In the centuries since his death, Francis Bacon (1561-1626) has been perceived and studied as a promoter and prophet of the philosophy of science--natural science--but he saw himself also as a clarifier and promoter of what he called "policy" or the study and improvement of the structure and function of civil states. Mr. Wormald shows that Bacon was concerned equally (...) with the knowledge of the world of nature and with that of policy. The junction between the two enterprises was effected by his work in history; and in the end it was Bacon's conception and practice of history that provided the answer to his efforts to advance policy and natural philosophy. (shrink)