This paper seeks to delineate some of the significant modes of philosophical resistance to, and subversion of, British Idealism already operational in Russell’s earliest work. One key tactic employed in An Essay On the Foundations of Geometry (1897) is to reorient the findings of the ‘modern logic’ of Bradley and Bosanquet by employing some ‘transcendental’ or neo-Kantian strategies. Russell th...

This contribution outlines the broad historical implications of scientific research on the Transcendental Meditation program for developing enlightened individuals, an enlightened society, cultural integrity, and world peace. This address, presented in October 1974, includes Maharishi's projection that one percent of a population participating in the Transcendental Meditation program will cause...

Applied metaphysics, which contains the knowledge of objects a priori, makes a system out of pure reason, and that system of pure rational knowledge is called metaphysics in the strict sense. Transcendental philosophy is the propaedeutic of metaphysics proper. Reason determines nothing [in metaphysics proper] but rather speaks always of only its own ability, and in metaphysics proper it makes u...

Given an analytic function of one complex variable f , we investigate the arithmetic nature of the values of f at algebraic points. A typical question is whether f(α) is a transcendental number for each algebraic number α. Since there exist transcendental entire functions f such that f (t)(α) ∈ Q[α] for any t ≥ 0 and any algebraic number α, one needs to restrict the situation by adding hypothes...

Recently, we have presented ‘fully’ complex multi-layer perceptrons (MLPs) using a subset of complex elementary transcendental functions as the nonlinear activation functions. These functions jointly process the inphase (I) and quadrature (Q) components of data while taking full advantage of well-defined gradients in the error back-propagation. In this paper, the characteristics of these elemen...

This paper presents a regularization method for program complexity control of linear genetic programming tuned for transcendental elementary functions. Our goal is to improve the performance of evolutionary methods when solving symbolic regression tasks involving Pfaffian functions such as polynomials, analytic algebraic and transcendental operations like sigmoid, inverse trigonometric and radi...

Segundo uma leitura bem estabelecida da história filosofia, a “revolução copernicana” ou “virada transcendental” que ocorre na filosofia moderna, atingindo maturidade no pensamento de Immanuel Kant, teria abolido possibilidade metafísica como ciência. Vemos, entanto, imediatamente em seguida à crítica kantiana o florescimento um novo modo pensar disciplina filosófica chave transcendental, já pu...

In this paper, we deal with value distribution for q-shift polynomials of transcendental meromorphic functions with zero order and obtain some results which improve the previous theorems given by Liu and Qi [18]. In addition, we investigate value sharing for q-shift polynomials of transcendental entire functions with zero order and obtain some results which extend the recent theorem given by Li...

We develop the Ercolani-Sinha construction of SU (2) monopoles and make this effective for (a five parameter family of centred) charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number theoretic problem and a recently proven identity of Ramanujan provides a ...

We prove the following result: If G is a nite irreducible reeection group deened over a base eld k, then the invariant eld of G is purely transcendental over k, even if jGj is divisible by the characteristic of k. It is well known that in the above situation the invariant ring is in general not a polynomial ring. So the question whether at least the invariant eld is purely transcendental (Noeth...