Logic as the Universal Science : Bertrand Russell's Early Conception of Logic and Its Philosophical Context

Bertrand Russell (1872 1970) introduced the English-speaking philosophical world to modern, mathematical logic and foundational study of mathematics. The present study concerns the conception of logic that underlies his early logicist philosophy of mathematics, formulated in The Principles of Mathematics (1903). In 1967, Jean van Heijenoort published a paper, Logic as Language and Logic as Calculus, in which he argued that the early development of modern logic (roughly the period 1879 1930) can be understood, when considered in the light of a distinction between two essentially different perspectives on logic. According to the view of logic as language, logic constitutes the general framework for all rational discourse, or meaningful use of language, whereas the conception of logic as calculus regards logic more as a symbolism which is subject to reinterpretation. The calculus-view paves the way for systematic metatheory, where logic itself becomes a subject of mathematical study (model-theory). Several scholars have interpreted Russell s views on logic with the help of the interpretative tool introduced by van Heijenoort,. They have commonly argued that Russell s is a clear-cut case of the view of logic as language. In the present study a detailed reconstruction of the view and its implications is provided, and it is argued that the interpretation is seriously misleading as to what he really thought about logic. I argue that Russell s conception is best understood by setting it in its proper philosophical context. This is constituted by Immanuel Kant s theory of mathematics. Kant had argued that purely conceptual thought basically, the logical forms recognised in Aristotelian logic cannot capture the content of mathematical judgments and reasonings. Mathematical cognition is not grounded in logic but in space and time as the pure forms of intuition. As against this view, Russell argued that once logic is developed into a proper tool which can be applied to mathematical theories, Kant s views turn out to be completely wrong. In the present work the view is defended that Russell s logicist philosophy of mathematics, or the view that mathematics is really only logic, is based on what I term the Bolzanian account of logic . According to this conception, (i) the distinction between form and content is not explanatory in logic; (ii) the propositions of logic have genuine content; (iii) this content is conferred upon them by special entities, logical constants . The Bolzanian account, it is argued, is both historically important and throws genuine light on Russell s conception of logic.

Playing "Nordic": The Women of Niskavuori, Agri/Culture, and Imagining Finland on the Third Reich Stage

The theatrical censorship of the Third Reich considered the playwright's race and politics alongside the content of the drama. Given the political stigma of its "leftist" author, it is rather surprising that Hella Wuolijoki's Niskavuoren naiset opened in 1938 at the Staatliches Schauspielhaus in Hamburg. The play ran for fourteen performances before being closed by the Reichsdramaturgie, apparently at the instigation of Finnish critics. Yet this was not the end of the play's or its author's fortunes in the Third Reich, as the possibility of staging the play was raised several times over the next four years, coming to a close in 1942. Playing "Nordic" examines the ideological and theatrical background of this extended "cultural performance," as a means to reopening and reconstructing the work of the 1938 Die Frauen auf Niskavuori. Written by a Finnish, northern, "Nordic" author, and preoccupied with the dynamics of rural culture in an increasingly urbanized world, Niskavuoren naiset was understood in the Third Reich to illustrate and reinforce the racial, agri/cultural themes of Blut und Boden ("veri ja maa"). Playing "Nordic" examines this thematic relationship in three phases. The first phase uses archival materials to investigate the Reichsdramaturgie's understanding of the play and its author, and its ongoing discussion of Wuolijoki from 1937 to 1942. Play evaluator Sigmund Graff's description of Niskavuoren naiset as hamsunartig, or "Hamsun-esque," inspires the second phase of the dissertation, which first elaborates the meanings of Blut und Boden through a reading of contemporary "racial" theory and anthropology, and then assesses the representation of Finland within this discourse, one of the dominant cultural paradigms of the Third Reich. Imaging Finland for German audiences, the play stood among analogous, continued efforts to represent Finland and the rural life in the Third Reich, colored by Blut und Boden: art and agricultural exhibitions, essays and propaganda literature, mass demonstrations of the peasantry. This wider framework for the performance of "Finland" materializes the abstract or theoretical program of Blut und Boden in its everyday performed meanings; as such it provides the essential background for reading the Hamburg production of Die Frauen auf Niskavuori, which sustains the third and final phase. The German translation and the Hamburg photographic record are compared with the Helsinki premiere to assess the impact of Blut und Boden on the representation of Wuolijoki's play in the Third Reich. The journalistic critical response illuminates the effect that the dramatic complex of rural and racial values - generically identified as Bauerndrama in the Third Reich - had on the reception of the play; at the same time, both visual and critical documents also suggest possible moments of theatrical dissent in the Hamburg production. Playing "Nordic" undertakes a documentary and cultural reading of the changing theatrical meanings of Wuolijoki's Niskavuoren naiset as it crossed the frontier from Finland to the stage of the Third Reich. It also provides a model for the ways theatrical signification operates within a network of cultural and ideological meanings, suggesting the ideological work of theatrical production depends on, reinforces, and contests that tissue of values. Although Finnish criticism of Niskavuoren naiset has assumed the play's Blut und Boden resonance contributed to Wuolijoki's success in the Third Reich, this study shows a considerably more complex situation. This revealing production dramatizes the changing uses of plays in a politicized national and transnational context. As part of the framing of "Nordic" identity on the wider stage of the Third Reich, Die Frauen auf Niskavuori exemplifies the conjunction of concurrent - sometimes independent, sometimes interlocking - "racial" and national ideologies.

The Letter Collections of Anselm of Canterbury

Anselm of Canterbury (1033–1109) was a prolific letter writer. The modern edition of his letter collection comprises more than 600 folio-size pages in print and includes 472 letters, the vast majority of which were sent by him. Our knowledge of Anselm’s letters is derived from collections of his letters, for none of his correspondence survives in its original form of individual letters. There was no one canonical version of the collection, and the extant manuscripts generally differ substantially: the largest medieval manuscript witnesses include over 400 letters, while the smallest contain only a few. We know 38 manuscript witnesses, but no authorial manuscript survives. Certain references in Anselm’s letters reveal, however, that he collected his correspondence on at least two occasions while he was still abbot of Bec, and this study proposes that a third collection was possibly made under his supervision in Christ Church. The third collection also covered Anselm’s Canterbury period. Whether the third collection was authorial or posthumous is unclear. Certain contextual evidence and references in letters would suggest that the collection was authorial. If so, the collection was probably a register book, which was started in c. 1101 at the earliest. There is no positive proof that any of the three surviving minor collections may be authorial. Each of these collections was circulating at a very early stage, however, some probably in Anselm’s lifetime. Moreover, the minor collections seem to have been put together from smaller source units, which possibly originated at Bec. The contents of these units suggest very early and possibly authorial origins: the letters are mainly from Anselm’s years as prior of Bec. The critical edition by F. S. Schmitt represents the current phase in the textual tradition of Anselm’s letter collection. This study demonstrates that the value of the edition is weakened in particular by the way in which Schmitt selected manuscripts for collation, doubtless influenced by the fact that he had not established the structure of the tradition properly. Ultimately it is impossible to undertake systematic research on the letter collection on the basis of Schmitt’s edition.

Theory and Analysis of Classic Heavy Metal Harmony

This thesis explores melodic and harmonic features of heavy metal, and while doing so, explores various methods of music analysis; their applicability and limitations regarding the study of heavy metal music. The study is built on three general hypotheses according to which 1) acoustic characteristics play a significant role for chord constructing in heavy metal, 2) heavy metal has strong ties and similarities with other Western musical styles, and 3) theories and analytical methods of Western art music may be applied to heavy metal. It seems evident that in heavy metal some chord structures appear far more frequently than others. It is suggested here that the fundamental reason for this is the use of guitar distortion effect. Subsequently, theories as to how and under what principles heavy metal is constructed need to be put under discussion; analytical models regarding the classification of consonance and dissonance and chord categorization are here revised to meet the common practices of this music. It is evident that heavy metal is not an isolated style of music; it is seen here as a cultural fusion of various musical styles. Moreover, it is suggested that the theoretical background to the construction of Western music and its analysis can offer invaluable insights to heavy metal. However, the analytical methods need to be reformed to some extent to meet the characteristics of the music. This reformation includes an accommodation of linear and functional theories that has been found rather rarely in music theory and musicology.

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.

Visions of Past Glory: Nationalism and the Construction of Early Finnish History

The study is an examination of how the distant national past has been conceived and constructed for Finland from the mid-sixteenth century to the Second World War. The author argues that the perception and need of a national 'Golden Age' has undergone several phases during this period, yet the perceived Greatness of the Ancient Finns has been of great importance for the growth and development of the fundamental concepts of Finnish nationalism. It is a question reaching deeper than simply discussing the Kalevala or the Karelianism of the 1890s. Despite early occurrences of most of the topics the image-makers could utilize for the construction of an Ancient Greatness, a truly national proto-history only became a necessity after 1809, when a new conceptual 'Finnishness' was both conceived and brought forth in reality. In this process of nation-building, ethnic myths of origin and descent provided the core of the nationalist cause - the defence of a primordial national character - and within a few decades the antiquarian issue became a standard element of the nationalist public enlightenment. The emerging, archaeologically substantiated, nationhood was more than a scholarly construction: it was a 'politically correct' form of ethnic self-imaging, continuously adapting its message to contemporary society and modern progress. Prehistoric and medieval Finnishness became even more relevant for the intellectual defence of the nation during the period of Russian administrative pressure 1890-1905. With independence the origins of Finnishness were militarized even further, although the 'hot' phase of antiquarian nationalism ended, as many considered the Finnish state reestablished after centuries of 'dependency'. Nevertheless, the distant past of tribal Finnishness and the conceived Golden Age of the Kalevala remained obligating. The decline of public archaeology is quite evident after 1918, even though the national message of the antiquarian pursuits remained present in the history culture of the public. The myths, symbols, images, and constructs of ancient Finnishness had already become embedded in society by the turn of the century, like the patalakki cap, which remains a symbol of Finnishness to this day. The method of approach is one of combining a broad spectrum of previously neglected primary sources, all related to history culture and the subtle banalization of the distant past: school books, postcards, illustrations, festive costumes, drama, satirical magazines, novels, jewellery, and calendars. Tracing the origins of the national myths to their original contexts enables a rather thorough deconstruction of the proto-historical imaginary in this Finnish case study. Considering Anthony D. Smith's idea of ancient 'ethnies' being the basis for nationalist causes, the author considers such an approach in the Finnish case totally misplaced.

Locus Bonus : The Relationship of the Roman Villa to its Environment in the Vicinity of Rome

The aim of this study is to examine the relationship of the Roman villa to its environment. The villa was an important feature of the countryside intended both for agricultural production and for leisure. Manuals of Roman agriculture give instructions on how to select a location for an estate. The ideal location was a moderate slope facing east or south in a healthy area and good neighborhood, near good water resources and fertile soils. A road or a navigable river or the sea was needed for transportation of produce. A market for selling the produce, a town or a village, should have been nearby. The research area is the surroundings of the city of Rome, a key area for the development of the villa. The materials used consist of archaeological settlement sites, literary and epigraphical evidence as well as environmental data. The sites include all settlement sites from the 7th century BC to 5th century AD to examine changes in the tradition of site selection. Geographical Information Systems were used to analyze the data. Six aspects of location were examined: geology, soils, water resources, terrain, visibility/viewability and relationship to roads and habitation centers. Geology was important for finding building materials and the large villas from the 2nd century BC onwards are close to sources of building stones. Fertile soils were sought even in the period of the densest settlement. The area is rich in water, both rainfall and groundwater, and finding a water supply was fairly easy. A certain kind of terrain was sought over very long periods: a small spur or ridge shoulder facing preferably south with an open area in front of the site. The most popular villa resorts are located on the slopes visible from almost the entire Roman region. A visible villa served the social and political aspirations of the owner, whereas being in the villa created a sense of privacy. The area has a very dense road network ensuring good connectivity from almost anywhere in the region. The best visibility/viewability, dense settlement and most burials by roads coincide, creating a good neighborhood. The locations featuring the most qualities cover nearly a quarter of the area and more than half of the settlement sites are located in them. The ideal location was based on centuries of practical experience and rationalized by the literary tradition.

Archaeology of wings : Birds and people in the Baltic Sea region during the Stone Age

The prominent roles of birds, often mentioned in historical sources, are not well reflected in archaeological research. Absence or scarcity of bird bones in archaeological assemblages has been often seen as indication of a minor role of birds in the prehistoric economy or ideology, or explained by taphonomic loss. Few studies exist where birds form the basis for extensive archaeological interpretation. In this doctoral dissertation bird bone material from various Stone Age sites in the Baltic Sea region is investigated. The study period is approximately 7000-3400 BP, comprising mainly Neolithic cultures. The settlement material comes from Finland, Åland, Gotland, Saaremaa and Hiiumaa. Osteological materials are used for studying the economic and cultural importance of birds, fowling methods and principal fowling seasons. The bones were identified and earlier identifications partially checked with help of a reference material of modern skeletons. Fracture analysis was used in order to study the deposition history of bones at Ajvide settlement site. Birds in burials at two large cemeteries, Ajvide on Gotland and Zvejnieki in northern Latvia were investigated in order to study the roles of birds in burial practices. My study reveals that the economic importance of birds is at least seasonally often more prominent than usually thought, and varies greatly in different areas. Fowling has been most important in coastal areas, and especially during the breeding season. Waterbirds and grouse species were generally the most important groups in Finnish Stone Age economy. The identified species composition shows much resemblance to contemporary hunting with species such as the mallard and capercaillie commonly found. Burial materials and additional archaeological evidence from Gotland, Latvia and some other parts of northern Europe indicate that birds –e.g., jay, whooper swan, ducks – have been socially and ideologically important for the studied groups (indicating a place in the belief system, e.g. clan totemism). The burial finds indicate that some common ideas about waterbirds (perhaps as messengers or spirit helpers) might have existed in the northern European Stone Age.

Signifying Angels : Analyses and Interpretations of Rautavaara s Instrumental Compositions

The subject of doctoral thesis is the analysis and interpretation of instrumental pieces composed by Einojuhani Rautavaara (b. 1928) that have been given angelic titles: Archangel Michael Fighting the Antichrist from the suite Icons (1955)/Before the Icons (2006), Angels and Visitations (1978), the Double Bass Concerto Angel of Dusk (1980), Playgrounds for Angels (1981)and the Seventh Symphony Angel of Light (1994). The aim of the work is to find those musical elements common to these pieces that distinguish them from Rautavaara s other works and to determine if they could be thought of as a series. I prove that behind the common elements and titles stands the same extramusical idea the figure of an angel that the composer has described in his commentaries. The thesis is divided into three parts. Since all of the compositions possess titles that refer to the spiritual symbol of an angel, the first part offers a theoretical background to demonstrate the significant role played by angels in various religions and beliefs, and the means by which music has attempted to represent this symbol throughout history. This background traces also Rautavaara s aesthetic attitude as a spiritual composer whose output can be studied with reference to his extramusical interests including literature, psychology, painting, philosophy and myths. The second part focuses on the analysis of the instrumental compositions with angelic titles, without giving consideration to their commentaries and titles. The analyses concentrate in particular on those musical features that distinguish these pieces from Rautavaara s other compositions. In the third part these musical features are interpreted as symbols of the angel through comparison with vocal and instrumental pieces which contain references to the character of an angel, structures of mythical narration, special musical expressions, use of instruments and aspects of brightness. Finally I explore the composer s interpretative codes, drawing on Rilke s cycle of poems Ten Duino Elegies and Jung s theory of archetypes, and analyze the instrumental pieces with angelic titles in the light of the theory of musical ekphrasis.

History, Transfer, Politics : Five studies on the legacy of Uppsala philosophy

The Uppsala school of Axel Hägerström can be said to have been the last genuinely Swedish philosophical movement. On the other hand, the Swedish analytic tradition is often said to have its roots in Hägerström s thought. This work examines the transformation from Uppsala philosophy to analytic philosophy from an actor-based historical perspective. The aim is to describe how a group of younger scholars (Ingemar Hedenius, Konrad Marc-Wogau, Anders Wedberg, Alf Ross, Herbert Tingsten, Gunnar Myrdal) colonised the legacy of Hägerström and Uppsala philosophy, and faced the challenges they met in trying to reconcile this legacy with the changing philosophical and political currents of the 1930s and 40s. Following Quentin Skinner, the texts are analysed as moves or speech acts in a particular historical context. The thesis consists of five previously published case studies and an introduction. The first study describes how the image of Hägerström as the father of the Swedish analytic tradition was created by a particular faction of younger Uppsala philosophers who (re-) presented the Hägerströmian philosophy as a parallel movement to logical empiricism. The second study examines the confrontations between Uppsala philosophy and logical empiricism in both the editorial board and in the pages of Sweden s leading philosophical journal Theoria. The third study focuses on how the younger generation redescribed Hägerströmian legal philosophical ideas (Scandinavian Legal Realism), while the fourth study discusses how they responded to the accusations of a connection between Hägerström s value nihilistic theory and totalitarianism. Finally, the fifth study examines how the Swedish social scientist and Social Democratic intellectual Gunnar Myrdal tried to reconcile value nihilism with a strong political programme for social reform. The contribution of this thesis to the field consists mainly in a re-evaluation of the role of Uppsala philosophy in the history of Swedish philosophy. From this perspective the Uppsala School was less a collection of certain definite philosophical ideas than an intellectual legacy that was the subject of fierce struggles. Its theories and ideas were redescribed in various ways by individual actors with different philosophical and political intentions.

Luce Irigaray's Philosophy of Feminine Being : Body, Desire and Wisdom

Luce Irigaray is a Belgian-born philosopher, psychoanalyst and linguist. Irigaray s concept of woman is crucial for understanding her own work but also for examining and developing the theoretical and methodological basis of feminist theory. This thesis argues that, ultimately, Irigaray s exploration of woman s being challenges our traditional notion of philosophy as a neutral discourse and the traditional notion of ourselves as philosophizing persons or human beings. However, despite its crucial role, Irigaray s idea of woman still lacks a comprehensive explication. This is because the discourse of sexual difference is blurred by the ideas of essentialism and biologism. --- Irigaray s concept of woman has been interpreted and criticized from the perspectives of metaphysical essentialism, strategic essentialism, realist essentialism and deconstructionism. This thesis argues that a reinterpretation is necessary to account for Irigaray s claims about the the traditional woman , mimesis, the specificity of the feminine body, feminine expression and sexual difference. Moreover, any reading should account for the differences between women and avoid giving a prescriptive function to the essence of woman. --- My thesis develops a new interpretation of Irigaray s concept of woman on the basis of the phenomenology of the body. It argues that Irigaray s discourse on woman can and must be understood by an idea of existential style. Existential style is embodied, affective and spiritual and it is constituted in relation to oneself, to others and to the world. It is temporal, it evolves and changes but preserves its open unity in its transformations. Stylistic unities, such as femininity or philosophy, are constituted in and by the singulars. -- This study discusses and analyses feminine existential style as a central theme and topic of Irigaray s works and shows how her work operates as a primary and paradigmatic example of the feminine style. These tasks are performed by studying the mimetic positions available for women and by explicating the phenomenological background of Irigaray s conceptions of the philosophical method, and the lived, expressive and affective body. The critical occupation and transformation of these mimetic positions, the inquiry into the first-person pre-discursive experience, and the cultivation of feminine expressivity open up the possibility of becoming a woman writer, a woman lover and a woman philosopher. The appearance of these new feminine figures is a precondition for the realization of sexual difference. So Irigaray opens up the possibility of sexual difference by instituting and constituting a feminine subject of love and wisdom, and by problematizing the idea of a neutral and absolute subject.

Aristotle on the Perception of Perception : Seeing, Remembering, and Sleeping

This study is an inquiry into three related topics in Aristotle’s psychology: the perception of seeing, the perception of past perception, and the perception of sleeping. Over the past decades, Aristotle’s account of the perception of perception has been studied in numerous articles and chapters of books. However, there is no monograph that attempts to give a comprehensive analysis of this account and to assess its relation and significance to Aristotle’s psychological theory in general as well as to other theories pertaining to the topics (e.g. theories of consciousness), be they ancient, medieval, modern, or contemporary. This study intends to fill this gap and to further the research into Aristotle’s philosophy and into the philosophy of mind. The present study is based on an accurate analysis of the sources, on their Platonic background, and on later interpretations within the commentary tradition up to the present. From a methodological point of view, this study represents systematically orientated research into the history of philosophy, in which special attention is paid to the philosophical problems inherent in the sources, to the distinctions drawn, and to the arguments put forward as well as to their philosophical assessment. In addition to contributing many new findings concerning the topics under discussion, this study shows that Aristotle’s account of the perception of perception substantially differs from many later theories of consciousness. This study also suggests that Aristotle be regarded as a consistent direct realist, not only in respect of sense perception, but also in respect of memory.