Incarnate Subjectivity : The Constitutive Significance of Embodiment in Husserlian Phenomenology

This work offers a systematic phenomenological investigation of the constitutive significance of embodiment. It provides detailed analyses of subjectivity in relation to itself, to others, and to objective reality, and it argues that these basic structures cannot be made intelligible unless one takes into account how they are correlated with an embodied subject. The methodological and conceptual starting point of the treatise is the philosophy of Edmund Husserl. The investigation employs the phenomenological method and uses the descriptions and analyses provided by Husserl and his successors. The treatise is motivated and outlined systematically, and textual exegesis serves as a means for the systematic phenomenological investigation. The structure of the work conforms to the basic relations of subjectivity. The first part of the thesis explores the intimate relation between lived-body and selfhood, analyzes the phenomena of localization, and argues that self-awareness is necessarily and fundamentally embodied self-awareness. The second part examines the intersubjective dimensions of embodiment, investigates the corporal foundations of empathy, and unravels the bodily aspects of transcendental intersubjectivity. The third part scrutinizes the role of embodiment in the constitution of the surrounding objective reality: it focuses on the complex relationship between transcendental subjectivity and transcendental intersubjectivity, carefully examines the normative aspects of genetic and generative self-constitution, and argues eventually that what Husserl calls the paradox of subjectivity originates in a tension between primordial and intersubjective normativity. The work thus reinterprets the paradox of subjectivity in terms of a normative tension, and claims that the paradox is ultimately rooted in the structures of embodiment. In this manner, as a whole, the work discloses the constitutive significance of embodiment, and argues that transcendental subjectivity must be fundamentally embodied.

Inverse problem for the wave equation : partial data and novel boundary sources

An inverse problem for the wave equation is a mathematical formulation of the problem to convert measurements of sound waves to information about the wave speed governing the propagation of the waves. This doctoral thesis extends the theory on the inverse problems for the wave equation in cases with partial measurement data and also considers detection of discontinuous interfaces in the wave speed. A possible application of the theory is obstetric sonography in which ultrasound measurements are transformed into an image of the fetus in its mother's uterus. The wave speed inside the body can not be directly observed but sound waves can be produced outside the body and their echoes from the body can be recorded. The present work contains five research articles. In the first and the fifth articles we show that it is possible to determine the wave speed uniquely by using far apart sound sources and receivers. This extends a previously known result which requires the sound waves to be produced and recorded in the same place. Our result is motivated by a possible application to reflection seismology which seeks to create an image of the Earth s crust from recording of echoes stimulated for example by explosions. For this purpose, the receivers can not typically lie near the powerful sound sources. In the second article we present a sound source that allows us to recover many essential features of the wave speed from the echo produced by the source. Moreover, these features are known to determine the wave speed under certain geometric assumptions. Previously known results permitted the same features to be recovered only by sequential measurement of echoes produced by multiple different sources. The reduced number of measurements could increase the number possible applications of acoustic probing. In the third and fourth articles we develop an acoustic probing method to locate discontinuous interfaces in the wave speed. These interfaces typically correspond to interfaces between different materials and their locations are of interest in many applications. There are many previous approaches to this problem but none of them exploits sound sources varying freely in time. Our use of more variable sources could allow more robust implementation of the probing.