Parity violation in molecular magnetic resonance properties

The Standard Model of particle physics consists of the quantum electrodynamics (QED) and the weak and strong nuclear interactions. The QED is the basis for molecular properties, and thus it defines much of the world we see. The weak nuclear interaction is responsible for decays of nuclei, among other things, and in principle, it should also effects at the molecular scale. The strong nuclear interaction is hidden in interactions inside nuclei. From the high-energy and atomic experiments it is known that the weak interaction does not conserve parity. Consequently, the weak interaction and specifically the exchange of the Z^0 boson between a nucleon and an electron induces small energy shifts of different sign for mirror image molecules. This in turn will make the other enantiomer of a molecule energetically favorable than the other and also shifts the spectral lines of the mirror image pair of molecules into different directions creating a split. Parity violation (PV) in molecules, however, has not been observed. The topic of this thesis is how the weak interaction affects certain molecular magnetic properties, namely certain parameters of nuclear magnetic resonance (NMR) and electron spin resonance (ESR) spectroscopies. The thesis consists of numerical estimates of NMR and ESR spectral parameters and investigations of the effects of different aspects of quantum chemical computations to them. PV contributions to the NMR shielding and spin-spin coupling constants are investigated from the computational point of view. All the aspects of quantum chemical electronic structure computations are found to be very important, which makes accurate computations challenging. Effects of molecular geometry are also investigated using a model system of polysilyene chains. PV contribution to the NMR shielding constant is found to saturate after the chain reaches a certain length, but the effects of local geometry can be large. Rigorous vibrational averaging is also performed for a relatively small and rigid molecule. Vibrational corrections to the PV contribution are found to be only a couple of per cents. PV contributions to the ESR g-tensor are also evaluated using a series of molecules. Unfortunately, all the estimates are below the experimental limits, but PV in some of the heavier molecules comes close to the present day experimental resolution.

The paribhasas arthavadgrahane nanarthakasya, laksanapratipadoktayoh pratipadoktasyaiva grahanam and ekadesavikrtam ananyavat : Studies on some Metarules in Paninian system

In his grammatical treatise, the Astadhyayi, Panini includes sutras that state guiding rules for the right interpretation and application of his other directly grammatical sutras. These sutras are called paribhasas. In addition to these paribhasas, the various commentaries on Panini frequently invoke supplementary paribhasas which are not stated explicitly in his Astadhyayi. These paribhasas have been a subject of study since early times after Panini and have also occupied modern scholars on Panini s grammar. In regard to most of them, it remains unsettled even today whether they are used in the Astadhyayi, where they apply, what is their role, and whether they are necessary in arriving at the desired grammatical form. Some scholars go even further and argue that none of such paribhasas were intended by Panini. This study aims to settle this question by dealing with three such of these paribhasas individually considering all the information available in the commentaries in their regard and examining the cases in which, according to commentaries, the paribhasas apply. I select the paribhasas arthavadgrahane nanarthakasya, laksanapratipadoktayoh pratipadoktasyaiva grahanam and ekadesavikrtam ananyavat, which are all considered nyayasiddha or lokanyayasiddha; they express logical and obvious principles which are found in daily life. On this basis, Paniniyas explain why Panini did not mention them in the Astadhyayi. I discuss each paribhasa separately and all the issues it involves. I present and explain the cases where the specified paribhasas are invoked in the major commentaries, the Mahabhasya, the Kasika and the Siddhantakaumudi and the arguments found in the commentaries concerning these cases. If available, I supply other solutions to the difficulties for which these paribhasas are invoked. The study aims to make the issue of these paribhasas clearer, which will help us to reach a solution to the key question, that is, whether Panini has presupposed them in his Astadhyayi. My study shows that Panini has presupposed the paribhasa ekadesavikrtam ananyavat (or a similar principle). He also may have used the paribhasa arthavadgrahane nanarthakasya (or a similar principle) as this paribhasa does not lead to undesired results. As for the paribhasa laksanapratipadoktayoh pratipadoktasyaiva grahanam (or a similar principle), the original scope of this paribhasa was clearly extended by later Paniniyas. Moreover, their interpretation of this paribhasa conflicts with Panini s procedure. If Panini has used this paribhasa, he has used it in a very limited way.

Imazhinist Mariengof : Dendi. Montazh. Ciniki.

The study is dedicated to the Russian poet and prose writer Anatolii Borisovich Mariengof (1897–1962). Mariengof – “the last dandy of the Republic” – was one of the leaders and main theoreticians in the poetic group of the Russian Imaginists. For his contemporaries, he was an Imaginist par excellence. His Imaginist principles – in theory and practice – are applied to the study of his first fictional novel, Cynics (1928), which served as an epilogue for his Imaginist period (1918–1928). The novel was not published in the Soviet Union until 1988. The method used in the study is a conceptual and literary historical reading, making use of the contemporary semiotic understanding of cultural mechanisms and of intertextual analysis. There are three main concepts used throughout the study: dandy, montage and catachresis. In the first chapter, the history, practice and theory of the Russian Imaginism are analyzed from the point of view of dandyism. The Imaginist theatricalisation of life is juxtaposed with the thematic analysis of their poetry, and Imaginist dandyism appears as a catachrestic category in culture. The second chapter examines the Imaginist poetic theory. It is discussed in the context of the montage principle, defining the post-revolutionary culture in Soviet Russia. The Imaginist montage can be divided into three main theoretical paradigms: S. Yesenin’s “technical montage” (reminiscent of Dadaist collage), V. Shershenevich’s “nominative montage” (catalogues of images) and Anatolii Mariengof’s “catachrestic montage”. The final chapter deals with Mariengof’s first fictional novel, Cynics. The study begins with the complex history of publication of the novel, as well as its relation to the Imaginist poetic principles and to the history of the poetic movement. Cynics is, essentially, an Imaginist montage novel. The fragmentary play of the fictional and the documentary material follows the Imaginist montage principle. The chapter concludes in a thematic analysis of the novel, concentrating on the description of the October Revolution in Cynics.

Literaturnaja skazka A.M. Remizova (1900-1920-e gody)

Literary tale of A.M. Remizov (1900’s – 1920’s) The thesis is devoted to a detailed historical-literary description of a tale as a genre tradition in the creative work of Alexei Mikhailovich Remizov (1877-1957), one of the major Russian prose writers of the 20’s century. This very approach allows to specify the place and functional meaning of this genre in literary practice of the writer and to appeal to one of the key problems of the 20-21 century literature history – a specific of modernistic literature composition principle and a role of montage techniques in its formation. Remizov was working on tales during his whole life, though the most productive years of folklore studies fell to 1900’s – 1910’s. During this period he intensively studied folklore materials, narrated several hundreds of folk tales and in 1900’s – 1920’s published eight tale collections which played a significant role in the formation of stylistic and compositional principles of his prose of the 1910’s – 1920’s, especially montage techniques, which in its turn influenced the development of the narrative forms in the Russian post-revolutionary literature. At the same time a tale has specified not only poetics but also problematics of Remizov’s creative work, as when choosing folklore sources the writer always alluded to modern themes and relevant intellectual trends. The current research work, based on various archive materials and a wide spectrum of modern historical-literary data, complies four chapters with a consistent description of creation history, publication and critics’ reviews of Remizov’s tale collections and single tales contributing to his creative evolution characteristic. Furthermore, the work refers to composition and subject of the particular collections. On the whole it enables to follow up genre dynamics. The first chapter of the work is devoted to Posolon’ (Sunwise), the earliest tale collection of Remizov. The main feature of the collection is that its composition is oriented on the agrarian calendar and the subject – on the system of mythological views reflected in the Russian folklore. This very collection to a large extent corresponds to the writer’s views on the myth represented in Pis’mo v redaktsiyu (Letter to the Editor). The history of this manifesto appearing is analyzed in the second chapter. The incident which caused its forthcoming contributed to ‘legitimization’ of Remizov’s narrations as a relevant genre of modern literature and to upgrading the writer in professional hierarchy. The third chapter analyzes Remizov’s collections of 1900’s – early 1920’s, a result of Remizov’s scrupulous work with a specific tale material. He is acting here as a tale repertory researcher and in some cases as a collector as well. The means of such collections’ topical organization is not the myth but the hero of the tale. According to this principle single pieces are grouped into cycles, which then form complicated montage constructs. Texts themselves can be viewed as a sort of hyper-quotations, as they in fact entirely coincide with their original sources. Besides, collections usually have their own ideal patterns. In the fourth chapter a connection of Remizov’s creative work with folk fun culture and a tradition of the folklore noel story is being demonstrated on Zavetnyie skazy (Secret Tales) material. A consistent collections’ history creation analysis convinces us that the tale was a sort of laboratory in which main writer’s prose methods were being worked out.

Space in Musical Semiosis : An Abductive Theory of the Musical Composition Process

Space in musical semiosis is a study of musical meaning, spatiality and composition. Earlier studies on musical composition have not adequately treated the problems of musical signification. Here, composition is considered an epitomic process of musical signification. Hence the core problems of composition theory are core problems of musical semiotics. The study employs a framework of naturalist pragmatism, based on C. S. Peirce’s philosophy. It operates on concepts such as subject, experience, mind and inquiry, and incorporates relevant ideas of Aristotle, Peirce and John Dewey into a synthetic view of esthetic, practic, and semiotic for the benefit of grasping musical signification process as a case of semiosis in general. Based on expert accounts, music is depicted as real, communicative, representational, useful, embodied and non-arbitrary. These describe how music and the musical composition process are mental processes. Peirce’s theories are combined with current morphological theories of cognition into a view of mind, in which space is central. This requires an analysis of space, and the acceptance of a relativist understanding of spatiality. This approach to signification suggests that mental processes are spatially embodied, by virtue of hard facts of the world, literal representations of objects, as well as primary and complex metaphors each sharing identities of spatial structures. Consequently, music and the musical composition process are spatially embodied. Composing music appears as a process of constructing metaphors—as a praxis of shaping and reshaping features of sound, representable from simple quality dimensions to complex domains. In principle, any conceptual space, metaphorical or literal, may set off and steer elaboration, depending on the practical bearings on the habits of feeling, thinking and action, induced in musical communication. In this sense, it is evident that music helps us to reorganize our habits of feeling, thinking, and action. These habits, in turn, constitute our existence. The combination of Peirce and morphological approaches to cognition serves well for understanding musical and general signification. It appears both possible and worthwhile to address a variety of issues central to musicological inquiry in the framework of naturalist pragmatism. The study may also contribute to the development of Peircean semiotics.

Truth, Proof and Gödelian Arguments : A Defence of Tarskian Truth in Mathematics

One of the most fundamental questions in the philosophy of mathematics concerns the relation between truth and formal proof. The position according to which the two concepts are the same is called deflationism, and the opposing viewpoint substantialism. In an important result of mathematical logic, Kurt Gödel proved in his first incompleteness theorem that all consistent formal systems containing arithmetic include sentences that can neither be proved nor disproved within that system. However, such undecidable Gödel sentences can be established to be true once we expand the formal system with Alfred Tarski s semantical theory of truth, as shown by Stewart Shapiro and Jeffrey Ketland in their semantical arguments for the substantiality of truth. According to them, in Gödel sentences we have an explicit case of true but unprovable sentences, and hence deflationism is refuted. Against that, Neil Tennant has shown that instead of Tarskian truth we can expand the formal system with a soundness principle, according to which all provable sentences are assertable, and the assertability of Gödel sentences follows. This way, the relevant question is not whether we can establish the truth of Gödel sentences, but whether Tarskian truth is a more plausible expansion than a soundness principle. In this work I will argue that this problem is best approached once we think of mathematics as the full human phenomenon, and not just consisting of formal systems. When pre-formal mathematical thinking is included in our account, we see that Tarskian truth is in fact not an expansion at all. I claim that what proof is to formal mathematics, truth is to pre-formal thinking, and the Tarskian account of semantical truth mirrors this relation accurately. However, the introduction of pre-formal mathematics is vulnerable to the deflationist counterargument that while existing in practice, pre-formal thinking could still be philosophically superfluous if it does not refer to anything objective. Against this, I argue that all truly deflationist philosophical theories lead to arbitrariness of mathematics. In all other philosophical accounts of mathematics there is room for a reference of the pre-formal mathematics, and the expansion of Tarkian truth can be made naturally. Hence, if we reject the arbitrariness of mathematics, I argue in this work, we must accept the substantiality of truth. Related subjects such as neo-Fregeanism will also be covered, and shown not to change the need for Tarskian truth. The only remaining route for the deflationist is to change the underlying logic so that our formal languages can include their own truth predicates, which Tarski showed to be impossible for classical first-order languages. With such logics we would have no need to expand the formal systems, and the above argument would fail. From the alternative approaches, in this work I focus mostly on the Independence Friendly (IF) logic of Jaakko Hintikka and Gabriel Sandu. Hintikka has claimed that an IF language can include its own adequate truth predicate. I argue that while this is indeed the case, we cannot recognize the truth predicate as such within the same IF language, and the need for Tarskian truth remains. In addition to IF logic, also second-order logic and Saul Kripke s approach using Kleenean logic will be shown to fail in a similar fashion.

Complicated Presence : The Unity of Being in Parmenides and Heidegger

The attempt to refer meaningful reality as a whole to a unifying ultimate principle - the quest for the unity of Being - was one of the basic tendencies of Western philosophy from its beginnings in ancient Greece up to Hegel's absolute idealism. However, the different trends of contemporary philosophy tend to regard such a speculative metaphysical quest for unity as obsolete. This study addresses this contemporary situation on the basis of the work of Martin Heidegger (1889-1976). Its methodological framework is Heidegger's phenomenological and hermeneutical approach to the history of philosophy. It seeks to understand, in terms of the metaphysical quest for unity, Heidegger's contrast between the first (Greek) beginning or "onset" (Anfang) of philosophy and another onset of thinking. This other onset is a possibility inherent in the contemporary situation in which, according to Heidegger, the metaphysical tradition has developed to its utmost limits and thereby come to an end. Part I is a detailed interpretation of the surviving fragments of the Poem of Parmenides of Elea (fl. c. 500 BC), an outstanding representative of the first philosophical beginning in Heidegger's sense. It is argued that the Poem is not a simple denial of apparent plurality and difference ("mortal acceptances," doxai) in favor of an extreme monism. Parmenides' point is rather to show in what sense the different instances of Being can be reduced to an absolute level of truth or evidence (aletheia), which is the unity of Being as such (to eon). What in prephilosophical human experience is accepted as being is referred to the source of its acceptability: intelligibility as such, the simple and undifferentiated presence to thinking that ultimately excludes unpresence and otherness. Part II interprets selected key texts from different stages in Heidegger's thinking in terms of the unity of Being. It argues that one aspect of Heidegger's sustained and gradually deepening philosophical quest was to think the unity of Being as singularity, as the instantaneous, context-specific, and differential unity of a temporally meaningful situation. In Being and Time (1927) Heidegger articulates the temporal situatedness of the human awareness of meaningful presence. His later work moves on to study the situational correlation between presence and the human awareness. Heidegger's "postmetaphysical" articulation seeks to show how presence becomes meaningful precisely as situated, in an event of differentiation from a multidimensional context of unpresence. In resigning itself to this irreducibly complicated and singular character of meaningful presence, philosophy also faces its own historically situated finitude. This resignation is an essential feature of Heidegger's "other onset" of thinking.

Kilpailukykyvaltion koululainsäädännön rakentuminen : Suomen eduskunta ja 1990-luvun koulutuspoliittinen käänne

Finnish education policy, educational legislation and the entire education system changed significantly during the 1990s as part of a general restructuring of public administration. There has been a clear divergence from the former tradition of a system of regulation, founded on detailed legislation and the principle of equality. The new governance, which is based more on individual choice, efficiency and evaluation, emphasizes that the development of a high standard of education is a necessity in the light of global competition. This study explores the legislative process regarding education policy in the Finnish Parliament during the 1990s, and highlights in particular how the international discourse on education policies was restructured in the context of Finnish legislation. The research material consists of all the public parliamentary documents relating to education, including government proposals, minutes from the discussions in the chamber and archive material (final protocols, reports and statements) for the Committee for Education and Culture. The discourse on the process of drafting and passing education legislation is modelled on three interrelated policy technologies (market, management and performance), which are understood here as mechanisms connecting general political ideas to normative legislation. The changes in the regulation of education were part of a general public administration reform instigated during the mid 1980s. The research results will prove that during the left-right coalition cabinet of PM Harri Holkeri, new policy technologies affected the parliamentary discourse on education policy. This was particularly influenced by a change in the preconditions for the management of education that was created as a result of the numerous demands to deregulate and delegate decision-making authority to the local and school levels while rendering the whole education system more effective. At the turn of the decade, market-type mechanisms were more indirectly manifested in the forms of individuality and freedom of choice, which were reflected, for example, in proposals to “lower the hurdles” by separating general from vocational secondary education with a view to encouraging students to select courses from other educational establishments, in addition to relaxing the requirements for establishing private schools and abolishing a hundred-year-old strict national catchment-area system. Later, in the course of the 1990s, after the subjects, players, and methods of evaluation had been more precisely defined, evaluation based on performance would result in the active measurement of the attainment of set objectives. In the spring of 1991, from the outset of PM Esko Aho's right-centre coalition cabinet, the education budget suffered cutbacks as a result of a global recession and this influenced the legislative work of, and discourses in, parliament. Representatives of the parties in power regarded the recession solely as an external factor that was remote from the political arena. In their view, the education system should rise to the challenge by ensuring the efficient and innovative use of the resources available and by developing new forms of indicators for evaluating results. Representatives of the opposition opposed the cabinet’s standpoint as a result of the recession, criticized the measures taken by pointing out the harmful effect of constantly cutting the budget and argued that the government had made political capital out of the recession by using it as an opportunity to give more room to market, management and performance technologies within the Finnish education system. Criticism of the new education policy became even stronger during PM Paavo Lipponen's first “rainbow” coalition cabinet with critical views being expressed not only from the opposition but also from representatives within the government. Representatives from the left demanded legislative restrictions and the instigation of measures to relieve the presumed negative effects of market, management and performance in the name of educational equality. The new management by results steering method within the university sector and the introduction of commercial education services in compulsory education were fiercely criticized. The argument over “setting outer limits” including, for example, the demands for more detailed legislation and earmarked state subsidies was characteristic of Parliament’s legislative discourse in the latter part of the 1990s. Keywords: education policy, education legislation, Parliament of Finland

Feeling Better, Performing Better? Holistically-Oriented Top Performance and Well-Being (HOPE) : Performance Enhancement and Its Perceived Impacts on Musicians

Most musicians choose a career in music based on their love of the art and a desire to share it with others. However, being a performing musician is highly demanding. Despite considerable evidence of the great frequency of performance-related problems (e.g. debilitating performance anxiety) among professional musicians or aspiring musicians in the current Western classical music tradition these problems are seldom discussed openly. The existing system offers musicians very little help in learning how to build sustainable performance success into their musical career. This study it is first of its kind in Finland which addresses the issue on larger scale in a systematic way. I devised the HOPE intervention (Holistically-Oriented Top Performance and Well-Being Enhancement), in order to learn how to integrate professional peak performance and a sense of personal well-being into the lives and careers of musicians. Unlike most interventions in previous research, the HOPE intervention is explicitly holistic and aims at enhancing the whole musician, not just alleviating performance anxiety. Earlier research has not in principle focused on musicians´ psychological well-being or on their subjective perceptions. The main purpose of the study is to understand the perceived impacts of the specially devised HOPE intervention on the participants and particularly in four key areas: performing, playing or singing well-being, and overall (performing, playing or singing and well-being combined). Furthermore, it is hoped that a deeper understanding of performers´ development will be gained. The research method is interdisciplinary and mainly qualitative. The primary data consist of a series of linked questionnaires (before and after the intervention) and semi-structured follow-up interviews collected during action research-oriented HOPE intervention courses for music majors in the Sibelius Academy. With the longitudinal group called Hope 1, the core data were collected during a nine month HOPE intervention course and from follow-up interviews conducted six months later in 2003-2004. The core data of Hope 1 (nine participants) are compared with the perceived impacts on fifty-three other participants in the HOPE courses during the period since their inception, 2001-2006. The focus is particularly on participants´ subjective perceptions. Results of the study suggest that the HOPE intervention is beneficial in enhancing overall performance capacity, including music performance, and a personal sense of well-being in a music university setting. The findings indicate that within all key areas significant positive changes take place between the beginning and the end of a HOPE intervention course. The longitudinal data imply that the perceived positive changes are still ongoing six months after the HOPE intervention course is finished. The biggest change takes place within the area of performing and the smallest, in participants´ perception of their playing or singing. The main impacts include reduced feelings of stress and anxiety (an enhanced sense of well-being) as well as increased sense of direction and control in one's life. Since the results of the present research gave no other reason to believe otherwise, it is to be expected that the HOPE intervention and the results of the study can be exploited in other areas of human activity as well, especially where continuous professional top performance is a prerequisite such as in business or sports. Keywords: performance enhancement, professional top performance, subjective well-being, subjective perceptions, holism, coaching, music performance anxiety, studying music, music.

Koulukasvatusta teknologisoituvaan yhteiskuntaan : Kansakoulun opetussuunnitelman rakentuminen, 1945-1952

Education for a Technological Society. Public School Curriculum Construction, 1945-1952. The subject of my research is the significance of technology in the construction process of the public school curriculum during the years 1945-1952. During the period the war reparation and rebuilding placed demands and actions to rationalise and dramatise industry and agriculture. Thereby the ambitions of building a technological country and the reformation of curriculum took place simultaneously. Fordistian terms of reference, of which the principles were mass production, rationalisation and standardisation, a hierarchical division of labour and partition of assignments, provided a model for the developing curriculum. In the research the curriculum is examined as an artefact, which shapes socio-technically under the influence of social and technical factors. In the perspective of socio-technical construction the artefact is represented by the viewpoints of members of relevant social groups. The groups give meaning to the curriculum artefact, which determines the components of the curriculum. The weakness of the curriculum was its ineffectiveness, which was due to three critical problems. Firstly, the curriculum was to be based on scientific work, which meant the development of schools through experiments and scientific research. Secondly, the civilised conseption in the curriculum was to be composed of theoretical knowledge, as well as practical skills. Practical education was useful for both the individual and society. Thirdly, the curriculum was to be reformed in a way that the individuality of the pupil would be taken into account. It was useful for the society that talents and natural abilities of every pupil were observed and used to direct the pupil to the proper place in the social division of labour, according to the "right man in a right place" principle. The solutions to critical problems formed the instructions of the public school curriculum, which described the nature and content of education. Technology and its development were on essential part of the whole school curriculum process. The quality words connected to the development of technology - progress, rationality and effectiveness - were also suitable qualifiers and reasons for the reform of the curriculum. On the other hand, technology set a point of comparison and demand for the development of all phases of education. The view of technology was not clearly deterministic - it was also possible to shape technological society with the help of education. The public school curriculum process indicates how originally the principles of technological systems were shaped to the language of education and accepted in educational content.

Monikulttuurisuuskasvatus päiväkodin monikulttuurisessa esiopetusryhmässä

This study reports on the realisation of multicultural education in a multicultural pre-school group of one kindergarten. The research questions were: 1) what multicultural goals and contents did the kindergarten´s own pre-school curriculum contain? and 2) how did the pre-school educators´ views on multicultural education appear in their actions in a multicultural pre-school group? The research was conducted by analysing the curricula, interviewing the educators, and observing of the preschool groups. Pre-school education is seen as part of institutionalised education which is defined through culture. Education is considered from the point of view of critical multicultural education, paying special attention to the role of society in the definition of education. The research is a case study, and it concentrates on the interpretation of the working philosophy of one preschool group with respect to its implementation. The target group consisted of 20 6-year-old pre-school pupils in a kindergarten and their four pre-school educators. The research results showed that the kindergarten´s own pre-school curriculum (1997) was in structure and form consistent with the structure and form of the National Core Curriculum for Pre-School Education from 1996. The only difference was in the classification of the various subject fields and objectives. The contents of the two curricula showed hardly any variation, and both of them contained only few goals and contents for multicultural education. According to the interviews, the educational views and learning philosophy of the pre-school educators represented a child-centred point of view that takes into consideration the individual pupil´s needs and skills. This is also one of the basic principles of multicultural education. The principle was not, however, realised in the directed activities of the pre-school group. The heterogeneity of the pre-school group was dealt with by dividing the children into smaller groups, but the contents of the tuition were not differentiated. All children were provided with the same goals and contents. Multicultural education was seen as remote and separate from the overall educational philosophy. The contents of multicultural education were interpreted by the educators as teaching Finnish as a second language and teaching the children their own mother tongue and religion. After the evaluation of the state of the kindergarten´s multicultural education using four different models, I determined that the kindergarten emerged as a representative of the model where multicultural education is seen as something meant for immigrants only. The aim of the model is a rapid integration of the immigrant children with the majority population. Keywords: education, pre-school education, multicultural education, critical multicultural education, language, culture