Игра в бисер? Конвенциональные количественные методы в свете тезиса Дюэма-Куайна
The paper applies the Duhem-Quine thesis to conventional quantitative methods in political science. As a result, the discussion of methodological problems associated with these methods is implanted into the epistemological issues highlighted by the Duhem-Quine thesis. Special attention is devoted to the widespread research practices, such as 1) null hypothesis significance testing, 2) large-N analysis and 3) dealing with phenomena with a very broad and general character. The paper argues that, partly due to these practices, some epistomological problems are aggravated: a) structural underdetermination of theories is exacerbated; b) the value of new theories tested via old data becomes unclear and doubtful; c) the convention about the boundary between theories and facts is harder to achieve. Some questions about the conditions of the progress in political science are posed.
This article examines critical discourse analysis usage for political investigations. Special survey of literature, schedules and articles brings out strong methodological deficiency. Some argumentation on issues, means and limits of critical discourse analysis emphasize its prospects for political science development.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.