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Fall 2023
The aim of this thesis is to provide an exposition to Mochizuki and Hoshi's approach to birational anabelian geometry of mixed characteristic local fields. In the introductory chapter, we begin by recalling the relevant backgrounds on the Grothendieck conjectures on the étale fundamental groups...
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The role of geometric and non-geometric environmental cues in reorientation: Pigeons’ and humans’ use of relative wall lengths, angular information, and features
DownloadFall 2012
The purpose of the following studies was to explore how humans and pigeons encode and use the geometric and featural information of their environments to orient and navigate. Chapters 1 and 2 examine the use of angular amplitude and relative wall length information in parallelogram-shaped...
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What We Make for Ourselves: Interconnections of Geometry, Science, and Politics in Hobbes’ System of Ideas
DownloadFall 2019
This thesis is an attempt to locate Hobbes’ civil philosophy in the context of his theory of science, which is a theory primarily about how to acquire the knowledge of causes and effects. By working through the reasons why Hobbes praises geometry, this thesis will explain why he believes that...