1 Corinthians 11:2-16: exegesis case study

Corinthians

Comparison of POD reduced order strategies for the nonlinear 2D Shallow Water Equations

This paper introduces tensorial calculus techniques in the framework of Proper Orthogonal Decomposition (POD) to reduce the computational complexity of the reduced nonlinear terms. The resulting method, named tensorial POD, can be applied to polynomial nonlinearities of any degree $p$. Such nonlinear terms have an on-line complexity of $\mathcal{O}(k^{p+1})$, where $k$ is the dimension of POD basis, and therefore is independent of full space dimension. However it is efficient only for quadratic nonlinear terms since for higher nonlinearities standard POD proves to be less time consuming once the POD basis dimension $k$ is increased. Numerical experiments are carried out with a two dimensional shallow water equation (SWE) test problem to compare the performance of tensorial POD, standard POD, and POD/Discrete Empirical Interpolation Method (DEIM). Numerical results show that tensorial POD decreases by $76\times$ times the computational cost of the on-line stage of standard POD for configurations using more than $300,000$ model variables. The tensorial POD SWE model was only $2-8\times$ slower than the POD/DEIM SWE model but the implementation effort is considerably increased. Tensorial calculus was again employed to construct a new algorithm allowing POD/DEIM shallow water equation model to compute its off-line stage faster than the standard and tensorial POD approaches.Comment: 23 pages, 8 figures, 5 table

Personal Continuity and Instrumental Rationality in Rawls’ Theory of Justice

I want to examine the implications of a metaphysical thesis which is presupposed in various objections to Rawls' theory of justice.Although their criticisms differ in many respects, they concur in employing what I shall refer to as the continuity thesis. This consists of the following claims conjointly: (1) The parties in the original position (henceforth the OP) are, and know themselves to be, fully mature persons who will be among the members of the well-ordered society (henceforth the WOS) which is generated by their choice of principles of justice. (2) The OP is a conscious event among others, integrated (compatibly with the constraints on knowledge and motivation imposed on the parties) into the regular continuity of experience that comprises each of their ongoing constitutes lives. (3) The parties in the OP thus are, and regard themselves as, psychologically continuing persons, partially determined in personality and interests by prior experiences, capable of recollection and regret concerning the past, anticipation and apprehensiveness regarding the future, and so on. Although the continuity thesis as stated above is not at odds with any of the conditions that define the OP, its exegetical validity is a matter for discussion. I shall be concerned to argue that if it is indeed contained in or a consequence of Rawls' theory, then it casts into doubt the capacity of the OP to generate or justify any principles of justice at all. On the other hand, if the continuity thesis is viewed as dispensable and unnecessary to the Rawlsian enterprise, then Rawls is correct in maintaining the irrelevance of the question of personal identity to the construction of his moral theory. In this case, the contract-theoretic, instrumentalist justification for the two principles of justice (henceforth the 2PJ) needs to be supplanted by a modified conception of wide reflective equilibrium. The considerations that form the bulk of this discussion then may be understood as providing a rationale for Rawls' recent revisions in the model of justification on which his theory of justice rests, and for his increasing emphasis on us as moral mediators between the OP and the WOS. Now I want to consider the question of whether or not, given the textual evidence, anything like the continuity thesis is stated or implied by Rawls, and what problems for his theory, if any, turn on a positive or negative answer to this question

Australian Psalms

Prewer, Bruce D. Australian Psalms. Adelaide: Lutheran Publishing House, 1979

Government Support for Unconventional Works of Art

My aim in this discussion is to argue, not only that government should provide funding for the arts, but a fortiori that it should provide funding for unconventional, disruptive works of art

The Enterprise of Socratic Metaethics

That human beings have the potential for rationality and the ability to cultivate it is a fact of human nature. But to value rationality and its subsidiary character dispositions - impartiality, intellectual discrimination, foresight, deliberation, prudence, self-reflection, self-control - is another matter entirely. I am going to take it as a given that if a person's freedom to act on her impulses and gratify her desires is constrained by the existence of others' equal, or more powerful, conflicting impulses and desires, then she will need the character dispositions of rationality to survive. The more circumscribed one's freedom and power, the more essential to survival and flourishing the character dispositions of rationality and the spirit may become