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The logic of explanatory power
 Philosophy of Science
, 2011
"... This paper introduces and defends a probabilistic measure of the explanatory power that a particular explanans has over its explanandum. To this end, we propose several intuitive, formal conditions of adequacy for an account of explanatory power. Then, we show that these conditions are uniquely sat ..."
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This paper introduces and defends a probabilistic measure of the explanatory power that a particular explanans has over its explanandum. To this end, we propose several intuitive, formal conditions of adequacy for an account of explanatory power. Then, we show that these conditions are uniquely
The Explanatory Power of Phase Spaces
"... David Malament argued that Hartry Field’s nominalisation program is unlikely to be able to deal with nonspacetime theories such as phasespace theories. We give a specific example of such a phasespace theory and argue that this presentation of the theory delivers explanations that are not availabl ..."
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that are not available in the classical presentation of the theory. This suggests that even if phasespace theories can be nominalised, the resulting theory will not have the explanatory power of the original. Phasespace theories thus raise problems for nominalists that go beyond Malament’s initial concerns.
Quantitative Parsimony and Explanatory Power
, 2003
"... The desire to minimize the number of individual new entities postulated is often referred to as quantitative parsimony. Its influence on the default hypotheses formulated by scientists seems undeniable. I argue that there is a wide class of cases for which the preference for quantitatively parsimoni ..."
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parsimonious hypotheses is demonstrably rational. The justification, in a nutshell, is that such hypotheses have greater explanatory power than less parsimonious alternatives. My analysis is restricted to a class of cases I shall refer to as additive. Such cases involve the postulation of a collection
On the Explanatory Power of Indeterminate Probabilities
"... Building on work that we reported in [1] we revisit the claims made by Fox and Tversky in [3] concerning their comparative ignorance hypothesis for decision making under uncertainty. Keywords. rationality. ..."
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Building on work that we reported in [1] we revisit the claims made by Fox and Tversky in [3] concerning their comparative ignorance hypothesis for decision making under uncertainty. Keywords. rationality.
Color, Error, and Explanatory Power *
"... Error theorists about color argue that our ordinary judgments ascribing color to material object are all false. The error theorist proposes that everything that is so, including the fact that material objects appear to us to have color, can best be explained without ever attributing color to objects ..."
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Error theorists about color argue that our ordinary judgments ascribing color to material object are all false. The error theorist proposes that everything that is so, including the fact that material objects appear to us to have color, can best be explained without ever attributing color to objects (for instance, by appealing to surface reflectance properties, the nature of light, the neurophysiology of perceivers, etc.). The appeal of this view stems in significant part from the prevalent thought that such explanations are strongly suggested by our present scientific conception of the world. Recently, however, Barry Stroud has argued that error theorists cannot successfully even acknowledge, let alone explain, all of the facts that error theorists must acknowledge. In this paper, I shall raise an objection to Stroud’s argument. I shall conclude by mentioning one way in which we might develop Stroud’s general strategy with more success. At least since Democritus, philosophers have been fond of the idea that objects do not “really” have color. One such view is the error theory, according to which our ordinary judgments ascribing color to material objects are all false, erroneous; no material object has color. 1 The error theorist proposes that everything that is so, including the fact that material objects appear to us to have color, can best be explained without ever attributing color to objects (for instance, There may be minor variations between this draft and the version published in
On the explanatory power of principal components
, 2014
"... We show that if we have an orthogonal base (u1,..., up) in a pdimensional vector space, and select p + 1 vectors v1,..., vp and w such that the vectors traverse the origin, then the probability of w being to closer to all the vectors in the base than to v1,..., vp is at least 1/2 and converges as p ..."
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We show that if we have an orthogonal base (u1,..., up) in a pdimensional vector space, and select p + 1 vectors v1,..., vp and w such that the vectors traverse the origin, then the probability of w being to closer to all the vectors in the base than to v1,..., vp is at least 1/2 and converges as p increases to infinity to a normal distribution on the interval [1,1]; i.e., Φ(1) − Φ(−1) ≈ 0.6826. This result has relevant consequences for Principal Components Analysis in the context of regression and other learning settings, if we take the orthogonal base as the direction of the principal components. 1
Comparing Probabilistic Measures of Explanatory Power.
 Philosophy of Science,
, 2011
"... Abstract Recently, in attempting to account for explanatory reasoning in probabilistic terms, Bayesians have proposed several measures of the degree to which a hypothesis explains a given set of facts. These candidate measures of "explanatory power" are shown to have interesting normative ..."
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Abstract Recently, in attempting to account for explanatory reasoning in probabilistic terms, Bayesians have proposed several measures of the degree to which a hypothesis explains a given set of facts. These candidate measures of "explanatory power" are shown to have interesting
Extracting Factors with Maximum Explanatory Power
, 2007
"... Security returns are heteroscedastic both crosssectionally and over time, which affects the accuracy of standard factor extraction methods. In order to reduce the impact of such heterogeneity and to preserve the true factor structure, this paper studies the performance of a factor extracting method ..."
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method based on maximizing the explanatory power of the extracted factors. The implementation of the methodology is largely based on the principal components analysis on a correlation structure of asset returns. However, such a simple extension allows us to improve the finite sample performance over
Conditions for the Explanatory Power of Life Styles
"... Life style research has become an independent branch of social structural analysis that systematically complements the role of classical research on social inequality in explaining social action. However, there are important gaps in life style research. First, theoretical bases for explaining the st ..."
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conceptual shift from life styles to cultural preferences. In a second step it develops three hypotheses that set out the conditions for a high or low explanatory power of cultural preferences. They are empirically tested by way of a data analysis that supports the applicability of the theoretical ideas
Explanatory power of extended cognition Forthcoming in Philosophical Psychology
"... Abstract I argue that examining the explanatory power of the hypothesis of extended cognition (HEC) offers a fruitful approach to the problem of cognitive system demarcation. Although in the discussions on HEC it has become common to refer to considerations of explanatory power as a means for as Ke ..."
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Abstract I argue that examining the explanatory power of the hypothesis of extended cognition (HEC) offers a fruitful approach to the problem of cognitive system demarcation. Although in the discussions on HEC it has become common to refer to considerations of explanatory power as a means
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