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Arts and Humanities

2018

Chapman University

Articles 1 - 8 of 8

Full-Text Articles in Physical Sciences and Mathematics

In Defence Of The Self-Location Uncertainty Account Of Probability In The Many-Worlds Interpretation, Kelvin J. Mcqueen, Lev Vaidman Nov 2018

In Defence Of The Self-Location Uncertainty Account Of Probability In The Many-Worlds Interpretation, Kelvin J. Mcqueen, Lev Vaidman

Philosophy Faculty Articles and Research

We defend the many-worlds interpretation of quantum mechanics (MWI) against the objection that it cannot explain why measurement outcomes are predicted by the Born probability rule. We understand quantum probabilities in terms of an observer's self-location probabilities. We formulate a probability postulate for the MWI: the probability of self-location in a world with a given set of outcomes is the absolute square of that world's amplitude. We provide a proof of this postulate, which assumes the quantum formalism and two principles concerning symmetry and locality. We also show how a structurally similar proof of the Born rule is available for …

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Asymptotic Quasi-Completeness And Zfc, Mirna Džamonja, Marco Panza Oct 2018

Asymptotic Quasi-Completeness And Zfc, Mirna Džamonja, Marco Panza

MPP Published Research

The axioms ZFC of first order set theory are one of the best and most widely accepted, if not perfect, foundations used in mathematics. Just as the axioms of first order Peano Arithmetic, ZFC axioms form a recursively enumerable list of axioms, and are, then, subject to Gödel’s Incompleteness Theorems. Hence, if they are assumed to be consistent, they are necessarily incomplete. This can be witnessed by various concrete statements, including the celebrated Continuum Hypothesis CH. The independence results about the infinite cardinals are so abundant that it often appears that ZFC can basically prove very little about such cardinals. …

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Was Frege A Logicist For Arithmetic?, Marco Panza Sep 2018

Was Frege A Logicist For Arithmetic?, Marco Panza

MPP Published Research

The paper argues that Frege’s primary foundational purpose concerning arithmetic was neither that of making natural numbers logical objects, nor that of making arithmetic a part of logic, but rather that of assigning to it an appropriate place in the architectonics of mathematics and knowledge, by immersing it in a theory of numbers of concepts and making truths about natural numbers, and/or knowledge of them transparent to reason without the medium of senses and intuition.

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Enthymemathical Proofs And Canonical Proofs In Euclid’S Plane Geometry, Abel Lassalle, Marco Panza Aug 2018

Enthymemathical Proofs And Canonical Proofs In Euclid’S Plane Geometry, Abel Lassalle, Marco Panza

MPP Published Research

Since the application of Postulate I.2 in Euclid’s Elements is not uniform, one could wonder in what way should it be applied in Euclid’s plane geometry. Besides legitimizing questions like this from the perspective of a philosophy of mathematical practice, we sketch a general perspective of conceptual analysis of mathematical texts, which involves an extended notion of mathematical theory as system of authorizations, and an audience-dependent notion of proof.

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Player-Response: On The Nature Of Interactive Narratives As Literature, Lee Feldman May 2018

Player-Response: On The Nature Of Interactive Narratives As Literature, Lee Feldman

English (MA) Theses

In recent years, having evolved beyond solely play-based interactions, it is now possible to analyze video games alongside other narrative forms, such as novels and films. Video games now involve rich stories that require input and interaction on behalf of the player. This level of agency likens video games to a kind of modern hypertext, networking and weaving various narrative threads together, something which traditional modes of media lack. When examined from the lens of reader-response criticism, this interaction deepens even further, acknowledging the player’s experience as a valid interpretation of a video game’s plot. The wide freedom of choice …

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Review Of G. Israel, Meccanicismo. Trionfi E Miserie Della Visione Meccanica Del Mondo, Marco Panza Mar 2018

Review Of G. Israel, Meccanicismo. Trionfi E Miserie Della Visione Meccanica Del Mondo, Marco Panza

MPP Published Research

"This is Giorgio's Israel last book, which appeared only a few weeks after his untimely death, in September 2015. For many reasons, it can be considered as his intellectual legacy, since it comes back, in a new and organic way, to many of the research topics to which he devoted his life and his many publications, which include several papers in Historia Mathematica. One of these papers, co-authored with M. Menghini, appeared in vol. 25/4, 1998 and was devoted to Poincaré's and Enriques's opposite views on qualitative analysis, which is a theme also dealt with in this book (pp. 117–122)."

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The Participating Mind In The Quantum Universe, Menas Kafatos, Keun-Hang Susan Yang Jan 2018

The Participating Mind In The Quantum Universe, Menas Kafatos, Keun-Hang Susan Yang

Mathematics, Physics, and Computer Science Faculty Articles and Research

The Orthodox interpretation of quantum mechanics, which followed the Copenhagen Interpretation but was enhanced by primarily Werner Heisenberg and John von Neumann into a fully developed theory, brought in, among others, the role of measurement, available choices and response of the quantum system. It is, more consistent and clear than other interpretations of quantum mechanics as it provides account of the interactions of observers with the external world. As such, the Orthodox interpretation does a lot more than just account for physical interactions in the atomic world, which was the original goal of quantum mechanics in the early part of …

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Bibliography For Interstices 2018: Beyond Human: Emotion And Ai, Kristin Laughtin-Dunker Jan 2018

Bibliography For Interstices 2018: Beyond Human: Emotion And Ai, Kristin Laughtin-Dunker

Library Displays and Bibliographies

An annotated list of materials in the Leatherby Libraries to accompany the Interstices 2018: Beyond Human: Emotion and AI event held at Chapman University in February 2018. The event featured Lisa Joy, co-creator and executive producer of HBO’s Emmy winning hit series Westworld, Jon Gratch, Director for Virtual Human Research at the University of Southern California’s (USC) Institute for Creative Technologies and Caroline Bainbridge, a Professor of Psychoanalysis and Culture in the Department of Media, Culture and Language at the University of Roehampton London. The Leatherby Libraries also hosted two book club discussions of The Positronic …

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