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Full-Text Articles in Logic and Foundations of Mathematics
Ante Rem Structuralism And The No-Naming Constraint, Teresa Kouri
Ante Rem Structuralism And The No-Naming Constraint, Teresa Kouri
Philosophy Faculty Publications
Tim Räz has presented what he takes to be a new objection to Stewart Shapiro's ante rem structuralism (ARS). Räz claims that ARS conflicts with mathematical practice. I will explain why this is similar to an old problem, posed originally by John Burgess in 1999 and Jukka Keränen in 2001, and show that Shapiro can use the solution to the original problem in Räz's case. Additionally, I will suggest that Räz's proposed treatment of the situation does not provide an argument for the in re over the ante rem approach.
Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit
Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit
Williams Honors College, Honors Research Projects
In this paper I discuss six philosophical theories of mathematics including logicism, intuitionism, formalism, platonism, structuralism, and moderate realism. I also discuss problems that arise within these theories and attempts to solve them. Finally, I attempt to harmonize the best features of moderate realism and structuralism, presenting a theory that I take to best describe current mathematical practice.
Philosophy Of Mathematics In The Twentieth Century: Selected Essays, Stewart Shapiro, Teresa Kouri Kissel
Philosophy Of Mathematics In The Twentieth Century: Selected Essays, Stewart Shapiro, Teresa Kouri Kissel
Philosophy Faculty Publications
No abstract provided.
The Biopolitical Unconscious: Not-All Persons Are Political, Ross G. Shields
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.