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Full-Text Articles in Philosophy

Leibniz's More Fundamental Ontology: From Overshadowed Individuals To Metaphysical Atoms, Marin Lucio Mare Apr 2016

Leibniz's More Fundamental Ontology: From Overshadowed Individuals To Metaphysical Atoms, Marin Lucio Mare

Graduate Theses and Dissertations

I aim to offer an innovative interpretation of Leibniz’s philosophy, first by examining how the various views that make up his ontology of individual substance involve a persistent rejection of atomism in natural philosophy and secondly, by exploring the significance of this rejection in the larger context of Seventeenth-century physics. My thesis is structured as a developmental story, each chapter analyzing the discontinuities or changes Leibniz makes to his views on individuation and atomism from his early to late years. The goal is to illuminate underrepresented views on individuals and atoms throughout Leibniz’s works and thus bring a ...


On The Role Of Mathematics In Scientific Representation, Saad Anis Feb 2016

On The Role Of Mathematics In Scientific Representation, Saad Anis

Electronic Thesis and Dissertation Repository

In this dissertation, I consider from a philosophical perspective three related questions concerning the contribution of mathematics to scientific representation. In answering these questions, I propose and defend Carnapian frameworks for examination into the nature and role of mathematics in science.

The first research question concerns the varied ways in which mathematics contributes to scientific representation. In response, I consider in Chapter 2 two recent philosophical proposals claiming to account for the explanatory role of mathematics in science, by Philip Kitcher, and Otavio Bueno and Mark Colyvan. My novel and detailed critique of these accounts shows that they are too ...


Physical Geometry, James P. Binkoski Jan 2016

Physical Geometry, James P. Binkoski

Doctoral Dissertations

All physical theories, from classical Newtonian mechanics to relativistic quantum field theory, entail propositions concerning the geometric structure of spacetime. To give an example, the general theory of relativity entails that spacetime is curved, smooth, and four-dimensional. In this dissertation, I take the structural commitments of our theories seriously and ask: how is such structure instantiated in the physical world? Mathematically, a property like 'being curved' is perfectly well-defined insofar as we know what it means for a mathematical space to be curved. But what could it mean to say that the physical world is curved? Call this the problem ...


Alternative Ontologies Of Number: Rethinking The Quantitative In Computational Culture, Elizabeth De Freitas, Ezekiel J. Dixon-Román, Patti Lather Dec 2015

Alternative Ontologies Of Number: Rethinking The Quantitative In Computational Culture, Elizabeth De Freitas, Ezekiel J. Dixon-Román, Patti Lather

Ezekiel J Dixon-Román

Introduction to special issue.