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Full-Text Articles in Logic and Foundations of Mathematics

Why Are They Called Real Numbers If They Aren’T Real, And Other Such Questions?, Rahmat Rashid Jan 2022

Why Are They Called Real Numbers If They Aren’T Real, And Other Such Questions?, Rahmat Rashid

Honors Program Theses

This thesis studies the position of mathematical realism (the position that mathematical objects have ontological status) through history, starting with Pythagoras up until W.V.O Quine, and examining how these positions originate from each other. I hope to see how the position has changed and why, and provide an argument against the strongest of the realist positions, drawing on this extensive background. Finally, I advance my own argument against the strongest arguments for mathematical realism, and propose alternatives to a view of mathematical realism.


The Quantum Dialectic, Logan Kelley May 2011

The Quantum Dialectic, Logan Kelley

Pitzer Senior Theses

A philosophic account of quantum physics. The thesis is divided into two parts. Part I is dedicated to laying the groundwork of quantum physics, and explaining some of the primary difficulties. Subjects of interest will include the principle of locality, the quantum uncertainty principle, and Einstein's criterion for reality. Quantum dilemmas discussed include the double-slit experiment, observations of spin and polarization, EPR, and Bell's theorem. The first part will argue that mathematical-physical descriptions of the world fall short of explaining the experimental observations of quantum phenomenon. The problem, as will be argued, is framework of the physical descriptive schema. Part …


The Biopolitical Unconscious: Not-All Persons Are Political, Ross G. Shields Apr 2010

The Biopolitical Unconscious: Not-All Persons Are Political, Ross G. Shields

Media and Cultural Studies Honors Projects

It is a tenet of post-structuralist theory that discursive series fail in their attempts to constitute themselves as totalities. A system can fail in two distinct ways—from Kant’s dynamic and mathematic failures of reason, to Jacques Lacan’s equation of the two failures of language with the two failures (male and female) of sex. Biopolitical theory offers the most recent account of failure and collapse, now on the geopolitical scale. Given that the biopolitical subject too is sexed, this thesis asks the question: How does biopolitics fail? Franz Kafka’s aborted novels offer a premonition to a possible answer.


Prolegomenon To A Neo-Kantian Student Heuristic, John W. Nageley Iii Jan 1970

Prolegomenon To A Neo-Kantian Student Heuristic, John W. Nageley Iii

All Master's Theses

The author attempts an in-depth study of Immanuel Kant's Critique of Pure Reason in order to prepare a text for college students in composition courses. It was to be a text designed to help students come to terms with some of the more perplexing problems of man's intellectual life by providing them with the means for understanding the structure of thought. As it stands now, though, this is a prolegomen to that text. It contains the essential theory for the text, but lacks sufficient examples to make it readily accessible to the student, and it lacks the exercises needed to …