On reflexivity and summability

Kant and Hegel on Aesthetic Reflexivity

The paper aims at reevaluating a conception of the aesthetic that was developed by Kant and Hegel but that has been widely neglected due to the fact that their positions in aesthetics have been wrongly considered to be antagonistic to one another. The conception states that the aesthetic is a practice of reflecting on other human practices. Kant was the first to articulate this conception, but ...

On statistical A-summability

Let A = (ank)∞n,k=1 be an infinite matrix and x = (xk) ∞ k=1 a sequence of real or complex numbers. Then the A-transform of x is a sequence Ax = (An(x))where An(x) = ∑ ∞ k=1 ankxk provided that the series converges for each n; and the sequence x is said to be A-summable if Ax is convergent. In this paper we define statistical A-summability of x, that is, x is said to be statistically A-summable...

On summability domains

On Absolute Cesàro Summability

Reflections on Reflexivity: Sociological Issues and Perspectives

Reflexivity is actually a key term in the dramatic and rapid changes confronted by the human sciences (especially sociology) during the last four decades and “yet the word is used in so many different senses that it often sustains confusion rather than clarifying any underlying issues” (Holland, 1999: 463). In general, reflexivity was comprehensively defined by George Herbert Mead as “the turni...