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- THEREFORE I CAN, Peter B. M. Vranas, +7 authors Jonathan Jenkins Ichikawa
- 2005

I defend the following version of the ought-implies-can principle: (OIC) by virtue of conceptual necessity, an agent at a given time has an (objective, pro tanto) obligation to do only what the agent at that time has the ability and opportunity to do. In short, obligations correspond to ability plus opportunity. My argument has three premises: (1)… (More)

- David Brink
- 2005

Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views… (More)

- David Brink
- 2008

The historical development of Hensel’s lemma is briefly discussed (section 1). Using Newton polygons, a simple proof of a general Hensel’s lemma for separable polynomials over Henselian fields is given (section 3). For polynomials over algebraically closed, valued fields, best possible results on continuity of roots (section 4) and continuity of factors… (More)

- David Brink
- Combinatorica
- 2011

- David Brink
- 2008

It is investigated when a cyclic p-class field of an imaginary quadratic number field can be embedded in an infinite pro-cyclic p-extension. Résumé. On donne des conditions pour qu’un p-corps de classes cyclique d’un corps de nombres quadratique imaginaire soit plongeable dans une p-extension pro-cyclique infinie. Consider an imaginary quadratic number… (More)

- David Brink
- 2009

It is a theorem of Kaplansky that a prime p ≡ 1 (mod 16) is representable by both or none of x2 + 32y2 and x2 + 64y2, whereas a prime p ≡ 9 (mod 16) is representable by exactly one of these binary quadratic forms. In this paper five similar theorems are proved. As an example, one theorem states that a prime p ≡ 1 (mod 20) is representable by both or none of… (More)

- Dale Dorsey, David Brink, +6 authors Susan D. Wolf
- 2009

The demandingness of act consequentialism (AC) is well-known and has received much sophisticated treatment.1 Few have been content to defend AC’s demands. Much of the response has been to jettison AC in favor of a similar, though significantly less demanding view.2 The popularity of this response is easy to understand. Excessive demandingness appears to be… (More)

- David Brink
- 2009

The minimal number of spheres (without “interior”) of radius n required to cover the finite set {0, . . . , q−1} equipped with the Hamming distance is denoted by T (n, q). The only hitherto known values of T (n, q) are T (n, 3) for n = 1, . . . , 6. These were all given in the 1950s in the Finnish football pool magazine Veikkaaja along with upper and lower… (More)

- David Brink
- 2007

Previous work done in collaboration with David Brink is reviewed in the light of the recent observation of new charmonium-like resonances which can be interpreted as tetraquarks. In the framework of a schematic quark model the spectrum of cc̄qq̄ tetraquarks is presented. Based on a talk given at the 11th International Conference on Nuclear Reaction… (More)

with coefficients aij in O. Write the degree as k = pm with p m. A solution x = (x1, . . . , xN) ∈ K is called non-trivial if at least one xj is non-zero. It is a special case of a conjecture of Emil Artin that (∗) has a non-trivial solution whenever N > Rk. This conjecture has been verified by Davenport and Lewis for a single diagonal equation over Qp and… (More)