This infinite, unanimous dissonance : a study in mathematical existentialism through the work of Jean-Paul Sartre and Alain Badiou

This thesis seeks to elucidate a motif common to the work both of Jean-Paul Sartre and Alain Badiou (with special attention being given to Being and Nothingness and Being and Event respectively): the thesis that the subject 's existence precedes and determines its essence. To this end, the author aims to explicate the structural invariances, common to both philosophies, that allow this thesis to take shape. Their explication requires the construction of an overarching conceptual framework within which it may be possible to embed both the phenomenological ontology elaborated in Being and Event and the mathematical ontology outlined in Being and Event. Within this framework, whose axial concept is that of multiplicity, the precedence of essence by existence becomes intelligible in terms of a priority of extensional over intensional determination. A series of familiar existentialist concepts are reconstructed on this basis, such as lack and value, and these are set to work in the task of fleshing out the more or less skeletal theory of the subject presented in Being and Event.

Expanding the research horizon in higher education : master's students' perceptions of research assistantships

This study explores how effectively current research assistantships impart research methods, skills, and attitudes; and how well those experiences prepare the next generation of researchers to meet the evolving needs of an ever-expanding, knowledge- based economy and society. Through personal interviews, 7 graduate student research assistants expressed their perceptions regarding their research assistantships. The open- ended interview questions emphasized (a) what research knowledge and skills the graduate students acquired; (b) what other lessons they took away from the experience; and (c) how the research assistantships influenced their graduate studies and future academic plans. After participants were interviewed, the data were transcribed, memberchecked, and then analyzed using a grounded theory research design. The findings show that research assistantships are valuable educational venues that can not only promote research learning but also benefit research assistants' master's studies and stimulate reflection regarding their future educational and research plans. Although data are limited to the responses of 7 students, findings can contribute to the enhancement of research assistantship opportunities as a means of developing skilled future researchers that in tum will benefit Canada as an emerging leader in research and development. The study is meant to serve as an informative source for (a) experienced researchers who have worked with research assistants; (b) researchers who are planning to hire research assistants; and (c) experienced and novice research assistants. Further, the study has the potential to inform future research training initiatives as well as related policies and practices.

Kierkegaard : the temporality of becoming a self

Introduction In Difference and Repetition, Deleuze compares and contrasts Kierkegaard's and Nietzsche's ideas of repetition. He argues that neither of them really give a representation of repetition. Repetition for them is a sort of selective task: the way in which they determine what is ethical and eternal. With Nietzsche, it is a theater of un belie f. ..... Nietzsche's leading idea is to found the repetition in the etemal return at once on the death of God and the dissolution of the self But it is a quite different alliance in the theater of faith: Kierkegaard dreams of alliance between a God and a self rediscovered. I Repetition plays a theatrical role in their thinking. It allows them to dramatically stage the interplay of various personnae. Deleuze does give a positive account ofKierkegaard's "repetition"; however, he does not think that Kierkegaard works out a philosophical model, or a representation of what repetition is. It is true that in the book Repetition, Constantin Constantius does not clearly and fully work out the concept of repetition, but in Sickness Unto Death, Kierkegaard gives a full explanation of the self and its temporality which can be connected with repetition. When Sickness Unto Death is interpreted according to key passages from Repetition and The Concept of Anxiety, a clear philosophical concept of repetition can be established. In my opinion, Kierkegaard's philosophy is about the task of becoming a self, and I will be attempting to show that he does have a model of the temporality of self-becoming. In Sickness Unto Death, Kierkegaard explains his notions of despair with reference to sin, self, self-becoming, faith, and repetition. Despair is a sickness of the spirit, of the self, and accordingly can take three forms: in despair not to be conscious of having a self (not despair in the strict sense); in despair not to will to be oneself; in despair to will to be oneself2 In relation to this definition, he defines a self as "a relation that relates itself to itself and in relating itself to itself relates to another.''3 Thus, a person is a threefold relationship, and any break in that relationship is despair. Despair takes three forms corresponding to the three aspects of a self s relation to itself Kierkegaard says that a selfis like a house with a basement, a first floor, and a second floor.4 This model of the house, and the concept of the stages on life's way that it illustrates, is central to Kierkegaard's philosophy. This thesis will show how he unpacks this model in many of his writings with different concepts being developed in different texts. His method is to work with the same model in different ways throughout his authorship. He assigns many of the texts to different pseudonyms, but in this thesis we will treat the model and the related concepts as being Kierkegaard's and not only the pseudonyms. This is justified as our thesis will show this modelremains the same throughout Kierkegaard's work, though it is treated in different ways by different pseudonyms. According to Kierkegaard, many people live in only the basement for their entire lives, that is, as aesthetes ("in despair not to be conscious of having a self'). They live in despair of not being conscious of having a self They live in a merely horizontal relation. They want to get what they desire. When they go to the first floor, so to speak, they reflect on themselves and only then do they begin to get a self In this stage, one acquires an ideology of the required and overcomes the strict commands of the desired. The ethical is primarily an obedience to the required whereas the aesthetic is an obedience to desire. In his work Fear and Trembling (Copenhagen: 1843), Johannes de Silentio makes several observations concerning this point. In this book, the author several times allows the desired ideality of esthetics to be shipwrecked on the required ideality of ethics, in order through these collisions to bring to light the religious ideality as the ideality that precisely is the ideality of actuality, and therefore just as desirable as that of esthetics and not as impossible as the ideality of ethics. This is accomplished in such a way that the religious ideality breaks forth in the dialectical leap and in the positive mood - "Behold all things have become new" as well as in the negative mood that is the passion of the absurd to which the concept "repetition" corresponds.s Here one begins to become responsible because one seeks the required ideality; however, the required ideality and the desired ideality become inadequate to the ethical individual. Neither of them satisfy him ("in despair not to will to be oneself'). Then he moves up to the second floor: that is, the mystical region, or the sphere of religiousness (A) ("despair to will to be oneself). Kiericegaard's model of a house, which is connected with the above definition ofdespair, shows us how the self arises through these various stages, and shows the stages of despair as well. On the second floor, we become mystics, or Knights of Infinite Resignation. We are still in despair because we despair ofthe basement and the first floor, however, we can be fiill, free persons only ifwe live on all the floors at the same time. This is a sort of paradoxical fourth stage consisting of all three floors; this is the sphere of true religiousness (religiousness (B)). It is distinguished from religiousness (A) because we can go back and live on all the floors. It is not that there are four floors, but in the fourth stage, we live paradoxically on three at once. Kierkegaard uses this house analogy in order to explain how we become a self through these stages, and to show the various stages of despair. Consequently, I will be explaining self-becoming in relation to despair. It will also be necessary to explain it in relation to faith, for faith is precisely the overcoming of despair. After explaining the becoming of the self in relation to despair and faith, I will then explain its temporality and thereby its repetition. What Kierkegaard calls a formula, Deleuze calls a representation. Unfortunately, Deleuze does not acknowledge Kierkegaard's formula for repetition. As we shall see, Kierkegaard clearly gives a formula for despair, faith, and selfbecoming. When viewed properly, these formulae yield a formula for repetition because when one hasfaith, the basement, firstfloor, and secondfloor become new as one becomes oneself The self is not bound in the eternity ofthe first floor (ethical) or the temporality of the basement (aesthete). I shall now examine the two forms of conscious despair in such a way as to point out also a rise in the consciousness of the nature of despair and in the consciousness that one's state is despair, or, what amounts to the same thing and is the salient point, a rise in the consciousness of the self The opposite to being in despair is to have faith. Therefore, the formula set forth above, which describes a state in which there is not despair at all, is entirely correct, and this formula is also the formula for faMi in ^elating itself to itself and in willing to be itself, the self rests transparently in the power that established it.

An investigation of the nature and role of historicality in the thought of Dilthey and Heidegger

Introduction The question of the meaning, methods and philosophical manifestations of history is currently rife with contention. The problem that I will address in an exposition of the thought of Wilhelm Dilthey and Martin Heidegger, centers around the intersubjectivity of an historical world. Specifically, there are two interconnected issues. First, since all knowledge occurs to a person from within his or her historical age how can any person in any age make truth claims? In order to answer this concern we must understand the essence and role of history. Yet how can we come to an individual understanding ofwhat history is when the meanings that we use are themselves historically enveloped? But can we, we who are well aware of the knowledge that archaeology has dredged up from old texts or even from 'living' monuments of past ages, really neglect to notice these artifacts that exist within and enrich our world? Charges of wilful blindness would arise if any attempt were made to suggest that certain things of our world did not come down to us from the past. Thus it appears more important 2 to determine what this 'past' is and therefore how history operates than to simply derail the possibility for historical understanding. Wilhelm Dilthey, the great German historicist from the 19th century, did not question the existence of historical artifacts as from the past, but in treating knowledge as one such artifact placed the onus on knowledge to show itself as true, or meaningful, in light ofthe fact that other historical periods relied on different facts and generated different truths or meanings. The problem for him was not just determining what the role of history is, but moreover to discover how knowledge could make any claim as true knowledge. As he stated, there is a problem of "historical anarchy"!' Martin Heidegger picked up these two strands of Dilthey's thought and wanted to answer the problem of truth and meaning in order to solve the problem of historicism. This problem underscored, perhaps for the first time, that societal presuppositions about the past and present oftheir era are not immutable. Penetrating to the core of the raison d'etre of the age was an historical reflection about the past which was now conceived as separated both temporally and attitudinally from the present. But further than this, Heidegger's focus on asking the question of the meaning of Being meant that history must be ontologically explicated not merely ontically treated. Heidegger hopes to remove barriers to a genuine ontology by II 1 3 including history into an assessment ofprevious philosophical systems. He does this in order that the question of Being be more fully explicated, which necessarily for him includes the question of the Being of history. One approach to the question ofwhat history is, given the information that we get from historical knowledge, is whether such knowledge can be formalized into a science. Additionally, we can approach the question of what the essence and role of history is by revealing its underlying characteristics, that is, by focussing on historicality. Thus we will begin with an expository look at Dilthey's conception of history and historicality. We will then explore these issues first in Heidegger's Being and Time, then in the third chapter his middle and later works. Finally, we shall examine how Heidegger's conception may reflect a development in the conception of historicality over Dilthey's historicism, and what such a conception means for a contemporary historical understanding. The problem of existing in a common world which is perceived only individually has been philosophically addressed in many forms. Escaping a pure subjectivist interpretation of 'reality' has occupied Western thinkers not only in order to discover metaphysical truths, but also to provide a foundation for politics and ethics. Many thinkers accept a solipsistic view as inevitable and reject attempts at justifying truth in an intersubjective world. The problem ofhistoricality raises similar problems. We 4 -. - - - - exist in a common historical age, presumably, yet are only aware ofthe historicity of the age through our own individual thoughts. Thus the question arises, do we actually exist within a common history or do we merely individually interpret this as communal? What is the reality of history, individual or communal? Dilthey answers this question by asserting a 'reality' to the historical age thus overcoming solipsism by encasing individual human experience within the historical horizon of the age. This however does nothing to address the epistemological concern over the discoverablity of truth. Heidegger, on the other hand, rejects a metaphysical construel of history and seeks to ground history first within the ontology ofDasein, and second, within the so called "sending" of Being. Thus there can be no solipsism for Heidegger because Dasein's Being is necessarily "cohistorical", Being-with-Others, and furthermore, this historical-Being-in-the-worldwith- Others is the horizon of Being over which truth can appear. Heidegger's solution to the problem of solipsism appears to satisfy that the world is not just a subjective idealist creation and also that one need not appeal to any universal measures of truth or presumed eternal verities. Thus in elucidating Heidegger's notion of history I will also confront the issues ofDasein's Being-alongside-things as well as the Being of Dasein as Being-in-the-world so that Dasein's historicality is explicated vis-a-vis the "sending of Being" (die Schicken des S eins).

Sedimentology of the Sixteen Mile Creek Lagoon, Niagara Peninsula, Ontario, Canada

The effec s of relative water level changes in Lake Ontario were detected in the ysical, chemical and biological characteristics of the sediments of the Fifteen, Sixteen and Twenty Mile Creek lagoonal complexes. Regional environmental changes have occurred resulting in the following sequence of sediments in the three lagoons and marsh. From the base up they are; (I) Till,(2) Pink Clay, (3) Bottom Sand, (4) Gyttja, (5) Orange Sandy Silt, (6) Brown Clay and (7) Gray Clay. The till was only encountered in the marsh and channel; however, it is presumed to occur throughout the entire area. The presence of diatoms and sponge spicules, the vertical and ongitudinal uniformity of the sediment and the stratigr ic position of the Pink Clay indicate that it has a glacial or post-glacial lacustrine origin. Overl ng the Pink Clay or Till is a clayey, silty sand to gravel. The downstream fining and unsorted nature of this material indicate that it has a fluvial/deltaic origin. Water levels began rising in the lagoon 3,250 years ago resulting in the deposition of the Gyttja, a brown, organic-rich silty clay probably deposited in a shallow, stagnant environment as shown by the presence of pyrite in the organic material and relatively high proportions of benthic diatoms and grass pollen. Increase in the rate of deposition of the Gyttja on Twenty Mile Creek and a decrease in the same unit on Sixteen Mile Creek is possibly the result of a capture of the Sixteen Mile Creek by the Twenty Mile Creek. The rise in lake level responsible for the onset and transgression of this III unit may have been produced by isostatic rebound; however, the deposition also corresponds closely to a drop in the level of Lake Huron and increased flow through the lower lakes. The o ange Sandy Silt, present only in the marsh, appears to be a buried soil horizon as shown by oxidized roots, and may be the upland equivalant to the Gyttja. Additional deepening resulted in the deposition of Brown Clay, a unit which only occurs at the lakeward end of the three lagoons. The decrease in grass pollen and the relatively high proportion of pelagic diatoms are evidence for this. The deepening may be the result of isostatic rebound; however, the onset of its deposition at 1640 years B.P. is synchronous in the three lagoons and corresponds to the end of the subAtlantic climatic episode. The effects of the climatic change in southern Ontario is uncertain. Average deposition rates of the Brown Clay are similar to those in the upper Gyttja on Sixteen Mile Creek; however, Twenty Mile Creek shows lower rates of the Brown Clay than those in the upper Gyttja. The Gray Clay covers the present bottom of the three lagoons and also occurs in the marsh It is inter1aminated wi sand in the channels. Increases in the rates of deposi ion, high concentrations of Ca and Zn, an Ambrosia rise, and an increase in bioturbation possibly due to the activities of the carp, indicate th this unit is a recent deposit resulting from the activities of man.

Landscape geochemical investigations in the vicinity of a lead deposit near Snertingdal, southern Norway

Landscape geochemical investigations were conducted upon portions of a natural uniform landscape in southern Norway. This consisted of sampling both soil profile samples and spruce tree twigs for the analysis of twelve chemical elements. These elements were cobalt, copper, nickel, lead, zinc, manganese, magnesium, iron, calcium, sodium, potassium and aluminum which were determined by atomic absorption analysis on standardized extraction techniques for both organic and inorganic materials. Two "landscape traverses" were chosen for a comparative study of the effects of varying landscape parameters upon the trace element distribution patterns throughout the landscape traverses. The object of this study was to test this method of investigation and the concept of an ideal uniform landscape under Norwegian conditions. A "control traverse" was established to represent uniform landscape conditions typical of the study area and was used to determine "normal" or average trace element distribution patterns. A "signal traverse" was selected nearby over an area of lead mineralization where the depth to bedrock is very small. The signal traverse provided an area of similar landscape conditions to those of the control traverse with significant differences in the bedrock configuration and composition. This study was also to determine the effect of the bedrock mineralization upon the distribution patterns of the twelve chemical elements within the major components of the two landscape traverses (i.e. soil profiles and tree branches). The lead distribution within the soils of the signal traverse showed localized accumulations of lead within the overburden with maximum values occurring within the organic A horizon of soil profile #10. Above average concentrations of lead were common within the signal traverse, however, the other elements studied were not significantly different from those averages determined throughout the soils of the control traverse. The spruce twig samples did not have corresponding accumulations of lead near the soil lead anomaly. This is attributable to the very localized nature of the lead dispersion pattern within the soils. This approach to the study of the geochemistry of a natural landscape was effective in establishing: a) average or "normal" trace element distribution patterns b) local variations in the landscape morphology and c) the effect of unusually high lead concentrations upon the geochemistry of the landscape (i.e. within the soil profiles and tree branches). This type of study provides the basis for further more intensive studies and serves only as a first approximation of the behaviour of elements within a natural landscape.

Generating Aesthetically Pleasing Images in a Virtual Environment using Particle Swarm Optimization

This research focuses on generating aesthetically pleasing images in virtual environments using the particle swarm optimization (PSO) algorithm. The PSO is a stochastic population based search algorithm that is inspired by the flocking behavior of birds. In this research, we implement swarms of cameras flying through a virtual world in search of an image that is aesthetically pleasing. Virtual world exploration using particle swarm optimization is considered to be a new research area and is of interest to both the scientific and artistic communities. Aesthetic rules such as rule of thirds, subject matter, colour similarity and horizon line are all analyzed together as a multi-objective problem to analyze and solve with rendered images. A new multi-objective PSO algorithm, the sum of ranks PSO, is introduced. It is empirically compared to other single-objective and multi-objective swarm algorithms. An advantage of the sum of ranks PSO is that it is useful for solving high-dimensional problems within the context of this research. Throughout many experiments, we show that our approach is capable of automatically producing images satisfying a variety of supplied aesthetic criteria.

Forecasting the Yield Curve of Government Bonds: A Comparative Study

For the past 20 years, researchers have applied the Kalman filter to the modeling and forecasting the term structure of interest rates. Despite its impressive performance in in-sample fitting yield curves, little research has focused on the out-of-sample forecast of yield curves using the Kalman filter. The goal of this thesis is to develop a unified dynamic model based on Diebold and Li (2006) and Nelson and Siegel’s (1987) three-factor model, and estimate this dynamic model using the Kalman filter. We compare both in-sample and out-of-sample performance of our dynamic methods with various other models in the literature. We find that our dynamic model dominates existing models in medium- and long-horizon yield curve predictions. However, the dynamic model should be used with caution when forecasting short maturity yields