The Critique from Experimental Philosophy: Can Philosophical Intuitions Be Externally Corroborated?

Jonathan Weinberg (2007) criticizes so called armchair philosophers’ appeals to intuitions. Faulty intuitions, so the argument, cannot be detected and corrected since (among other reasons) intuitions cannot be corroborated by external evidence. I press a dilemma against Weinberg. On a broad reading of ‘corroboration’, Weinberg has not established that intuitions lack external corroboration. On a narrow reading, his critique is self-undermining and issues into general skepticism

The New B-Word

I get all of my career advice from Cosmopolitan magazine. Okay, maybe not all of it. But sitting in the airport this past weekend, I breezed through articles about Khloé Kardashian and confessions about why guys cheat, and, somewhere in the middle, stumbled on an article called “Like a Boss.” It was written by Sheryl Sandberg, COO of Facebook and author of Lean In, and described an issue I had never really given much thought to: why female leaders are, seemingly more often than male leaders, described as bossy. As a woman with a leadership position on campus, the topic stewed in my mind for a bit. Yeah, I’ve been called bossy, but it hasn’t really bothered me. Should it

International accounting standards (IAS): implications for financial institutions

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Problems on averages and lacunary maximal functions

We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First, we obtain an $H^1$ to $L^{1,\infty}$ bound for lacunary maximal operators under a dimensional assumption on the underlying measure and an assumption on an $L^p$ regularity bound for some $p>1$. Secondly, we obtain a necessary and sufficient condition for $L^2$ boundedness of lacunary maximal operator associated to averages over convex curves in the plane. Finally we prove an $L^p$ regularity result for such averages. We formulate various open problems.Comment: To appear in the Marcinkiewicz Centenary Volume (Banach Center Publications 95

Haar projection numbers and failure of unconditional convergence in Sobolev spaces

For $1<p<\infty$ we determine the precise range of $L_p$ Sobolev spaces for which the Haar system is an unconditional basis. We also consider the natural extensions to Triebel-Lizorkin spaces and prove upper and lower bounds for norms of projection operators depending on properties of the Haar frequency set

Characterizations of Hankel multipliers

We give characterizations of radial Fourier multipliers as acting on radial L^p-functions, 1<p<2d/(d+1), in terms of Lebesgue space norms for Fourier localized pieces of the convolution kernel. This is a special case of corresponding results for general Hankel multipliers. Besides L^p-L^q bounds we also characterize weak type inequalities and intermediate inequalities involving Lorentz spaces. Applications include results on interpolation of multiplier spaces.Comment: Final revised version to appear in Mathematische Annale