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.

Reformin implementaatio - Michael Fullanin teoriaan perustuva muutosteoreettisten tekijöiden sisällönanalyyttinen tarkastelu Kelpo-kehittämistoiminnan kunnallisten koordinaattoreiden puheessa

The educational reform, launched in Finland in 2008, concerns the implementation of the Special Education Strategy (Opetusministeriö 2007) under an improvement initiative called Kelpo. One of the main proposed alterations of the Strategy relates to the support system of comprehensive school pupils. The existed two-level model (general and special support) is to be altered by the new three-level model (general, intensified and special support). There are 233 municipalities involved nationwide in the Kelpo initiative, each of which has a municipal coordinator as a national delegate. The Centre for Educational Assessment [the Centre] at the University of Helsinki, led by Professor Jarkko Hautamäki, carries out the developmental assessment of the initiative’s developmental process. As a part of that assessment the Centre interviewed 151 municipal coordinators in November 2008. This thesis considers the Kelpo initiative from Michael Fullan’s change theory’s aspect. The aim is to identify the change theoretical factors in the speech of the municipal coordinators interviewed by the Centre, and to constitute a view of what the crucial factors in the reform implementation process are. The appearance of the change theoretical factors, in the coordinators’ speech, and the meaning of these appearances are being considered from the change process point of view. The Centre collected the data by interviewing the municipal coordinators (n=151) in small groups of 4-11 people. The interview method was based on Vesala and Rantanen’s (2007) qualitative attitude survey method which was adapted and evolved for the Centre’s developmental assessment by Hilasvuori. The method of the analysis was a qualitative theory-based content analysis, processed using the Atlas.ti software. The theoretical frame of reference was grounded on Fullan’s change theory and the analysis was based on three change theoretical categories: implementation, cooperation and perspectives in the change process. The analysis of the interview data revealed spoken expressions in the coordinators’ speech which were either positively or negatively related to the theoretical categories. On the grounds of these change theoretical relations the existence of the change process was observed. The crucial factors of reform implementation were found, and the conclusion is that the encounter of the new reform-based and already existing strategies in school produces interface challenges. These challenges are particularly confronted in the context of the implementation of the new three-level support model. The interface challenges are classified as follows: conceptual, method-based, action-based and belief-based challenges. Keywords: reform, implementation, change process, Michael Fullan, Kelpo, intensified support, special support

Kertooko luonnon järjestys suunnittelusta? : Michael Behe älykkään suunnittelun ajatuksen puolustajana

This study presents a systematical analysis of biochemist Michael Behe's thinking. Behe is a prominent defender of the Intelligent Design Movement which has gaines influence particularly in the United States, but also in elsewhere. At the core of his thinking is the idea of intelligent design, according to which the order of the cosmos and of living things is the handiwork of a non-human intelligence. This "design argument" had previously been popular in the tradition of natural theology. Behe attempts to base his argument on the findings of 20th century biology, however. It has been revealed by biochemistry that cells, formerly thought to be simple, in fact contain complex structures, for instance the bacterial flagellum, which are reminiscent of the machines built by humans. According to Behe these can be believably explained only by referring to intelligent design, not by invoking darwinian natural laws. My analysis aims to understand Behe's thought on intelligent design, to bring forward its connections to intellectual history and worldviews, and to study whether Behe has formulated his argument so as to avoid common criticisms directed against design arguments. I use a large amount literature and refer to diverse writers participating in the intelligent design debate. The results of the analysis are as follows. Behe manages to avoid a large amount of classical criticisms against the design argument, and new criticisms have to be developed to meet his argument. Secondly, positions on intelligent design appear to be linked to larger philosophical and religious worldviews.vaan myös maailmankuvat ja uskonnolliset näkemykset.