Philosophy of Science Commons^™

Reformulating Bell's Theorem: The Search For A Truly Local Quantum Theory, Mordecai Waegell, Kelvin J. Mcqueen

Philosophy Faculty Articles and Research

The apparent nonlocality of quantum theory has been a persistent concern. Einstein et al. (1935) and Bell (1964) emphasized the apparent nonlocality arising from entanglement correlations. While some interpretations embrace this nonlocality, modern variations of the Everett-inspired many worlds interpretation try to circumvent it. In this paper, we review Bell's “no-go” theorem and explain how it rests on three axioms, local causality, no superdeterminism, and one world. Although Bell is often taken to have shown that local causality is ruled out by the experimentally confirmed entanglement correlations, we make clear that it is the conjunction of the …

Frege's Constraint And The Nature Of Frege's Foundational Program, Marco Panza, Andrea Sereni

Philosophy Faculty Articles and Research

Recent discussions on Fregean and neo-Fregean foundations for arithmetic and real analysis pay much attention to what is called either ‘Application Constraint’ ( ) or ‘Frege Constraint’ ( ), the requirement that a mathematical theory be so outlined that it immediately allows explaining for its applicability. We distinguish between two constraints, which we, respectively, denote by the latter of these two names, by showing how generalizes Frege’s views while comes closer to his original conceptions. Different authors diverge on the interpretation of and on whether it applies to definitions of both natural and real numbers. Our aim is to trace …

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 …

Tests For Intrinsicness Tested, Kelvin J. Mcqueen, René Van Woudenberg

Philosophy Faculty Articles and Research

Various tests have been proposed as helps to identify intrinsic properties. This paper compares three prominent tests (we call them Perfect Duplication, Real Change, and Lonely) and shows that they fail to pass adequate verdicts on a set of three properties. The paper examines whether improved versions of the tests can reduce or remove these negative outcomes. We reach the sceptical conclusion that whereas some of the tests must be discarded as inadequate because they don’t yield definite results, the remaining tests depend for their application on the details of fundamental particle physics so much so that they cannot be …

Four Tails Problems For Dynamical Collapse Theories, Kelvin J. Mcqueen

Philosophy Faculty Articles and Research

The primary quantum mechanical equation of motion entails that measurements typically do not have determinate outcomes, but result in superpositions of all possible outcomes. Dynamical collapse theories (e.g. GRW) supplement this equation with a stochastic Gaussian collapse function, intended to collapse the superposition of outcomes into one outcome. But the Gaussian collapses are imperfect in a way that leaves the superpositions intact. This is the tails problem. There are several ways of making this problem more precise. But many authors dismiss the problem without considering the more severe formulations. Here I distinguish four distinct tails problems. The first (bare tails …

Mass Additivity And A Priori Entailment, Kelvin J. Mcqueen

Philosophy Faculty Articles and Research

The principle of mass additivity states that the mass of a composite object is the sum of the masses of its elementary components. Mass additivity is true in Newtonian mechanics but false in special relativity. Physicists have explained why mass additivity is true in Newtonian mechanics by reducing it to Newton’s microphysical laws. This reductive explanation does not fit well with deducibility theories of reductive explanation such as the modern Nagelian theory of reduction, and the a priori entailment theory of reduction that is prominent in the philosophy of mind. Nonetheless, I argue that a reconstruction of the explanation that …

Rethinking Reverence For Life, Mike W. Martin

Philosophy Faculty Articles and Research

Albert Schweitzer’s ethics of reverence for life is more complex and interesting than first appears. It contains themes relevant to contemporary environmental ethics, including a virtue-ethics approach that emphasizes personal responsibility and tolerance, empathy for living organisms, and the fundamental unity of life. Not surprising, then, Schweitzer has recently been acknowledged for pioneering a biocentric (life-centered) ethical theory.

At the same time, Schweitzer’s ethic has four unpalatable features: pantheism, anthropomorphism, excessive subjectivity, and guilt mongering. I trace these features to the metaphysical framework in which Schweitzer develops his ideal of reverence for life. I also show how the framework can …