Proofs, Paradoxes, and Probabilities : The Logical Turn of Philosophy in Finland

This monograph describes the emergence of independent research on logic in Finland. The emphasis is placed on three well-known students of Eino Kaila: Georg Henrik von Wright (1916-2003), Erik Stenius (1911-1990), and Oiva Ketonen (1913-2000), and their research between the early 1930s and the early 1950s. The early academic work of these scholars laid the foundations for today's strong tradition in logic in Finland and also became internationally recognized. However, due attention has not been given to these works later, nor have they been comprehensively presented together. Each chapter of the book focuses on the life and work of one of Kaila's aforementioned students, with a fourth chapter discussing works on logic by authors who would later become known within other disciplines. Through an extensive use of correspondence and other archived material, some insight has been gained into the persons behind the academic personae. Unique and unpublished biographical material has been available for this task. The chapter on Oiva Ketonen focuses primarily on his work on what is today known as proof theory, especially on his proof theoretical system with invertible rules that permits a terminating root-first proof search. The independency of the parallel postulate is proved as an example of the strength of root-first proof search. Ketonen was to our knowledge Gerhard Gentzen's (the 'father' of proof theory) only student. Correspondence and a hitherto unavailable autobiographic manuscript, in addition to an unpublished article on the relationship between logic and epistemology, is presented. The chapter on Erik Stenius discusses his work on paradoxes and set theory, more specifically on how a rigid theory of definitions is employed to avoid these paradoxes. A presentation by Paul Bernays on Stenius' attempt at a proof of the consistency of arithmetic is reconstructed based on Bernays' lecture notes. Stenius correspondence with Paul Bernays, Evert Beth, and Georg Kreisel is discussed. The chapter on Georg Henrik von Wright presents his early work on probability and epistemology, along with his later work on modal logic that made him internationally famous. Correspondence from various archives (especially with Kaila and Charlie Dunbar Broad) further discusses his academic achievements and his experiences during the challenging circumstances of the 1940s.

Cattle Teeth in Graves : Interpretations of animal bones found in Finnish inhumation graves (ca AD 550-1700)

The nature of a burial is always ritualistic. This is often forgotten when dealing with Finnish inhumation burials containing animal bones. Only the animal bones found close to the deceased have traditionally been thought to have a ritualistic purpose. The animal bones found in the filling of the grave, which is still part of the burial, has on the other hand, often been neglected in the previous research. In this Master s thesis I will discuss the function and interpretation of animal bones in graves. The base of this study is six sites, all of different nature, from Finland. Luistari in Eura is from the western coast and is dated to Late Iron Age (and possibly Medieval period), the Medieval hamlet of Finno is situated in Espoo which is situated on the southern coast. Two town burials, Turku and Porvoo, are also included in this study. The graves from Turku are dated to Late Medieval period and Early Renaissance, whereas the cemetery in Porvoo is from the 18th century. Visulahti in Mikkeli is from the Late Iron Age and represents Eastern Finnish burial tradition, the same as Suotniemi from Käkisalmi parish, which is nowadays part of Russia. While parts of the animal bones had already been analysed before, the author also analysed animal bones for the purpose of the present Master´s thesis. The bones were compared to the burial contexts, when possible. Based on the comparisons I have made interpretations which might explain the existence of animal bones in the graves. The interpretations are among others sacrifice, commemoration meals and animal burials. The site could also have been a settlement site prior to the graves, thus the bones in the graves would belong to the settlement phase. When comparing the date of the studied sites, the town burials are later and the animal bones are probably related to previous or contemporary use of the sites as graveyards. On top of this there does not seem to be much difference in burial tradition between Eastern and Western Finland, although at least from the hamlet burials of Finno there are aspects that could be linked to Eastern burials. In making the interpretations I have taken into consideration the aspects of belief during different time periods when they could be accounted as relevant. Also the problems with bone preservation were relevant and challenging for the study. Often only the hardest substance of the skeleton, namely teeth, has been preserved. For this reason the quality of the archaeological documentation was a key issue in this study. In producing quality interpretations of the animal bones in graves, the bones, contexts and their relationship to the surrounding site should be documented with care.