In the history of philosophy, the problem of the simple and the complex, as it pertains to the universe, presents itself as the problem of the substance of the world, from which the concrete diversity of things comes into being. Two fundamental conceptions are to be seen in investigation of this latter problem in the history of materialism and natural science. The first of them, which essentially presupposes a dialectical understanding of development, regards the world as one, for all the (...) variety of its naturally developing matter. The second, which in its completed form comprises the line of development of mechanical materialism, recognizes only a coming together and separation of permanent principles on which the universe is based. (shrink)

Whatever the attitude one takes to the review in Physics Today , the fact remains that a prominent American journal in physics has voiced an opinion on a book devoted to philosophical problems of fundamental theory - at the front line of contemporary physics - written jointly by natural scientists and Marxist philosophers. The appearance of a review is a commonplace event in the life of science, but in the case before us the matter is not so simple. Suffice it (...) to remember the existence of a curtain in the scientific literature of the West, the function of which, some say, is to separate "pure" science from Marxism. (shrink)

Contemporary physicists, in creating theories adequate to nature's patterns of movement and development, speak the language of dialectics whether willingly or unwillingly. Even those whose personal outlook is at variance with dialectical philosophy acknowledge this in their own way. Thus Heisenberg states that inquiry into the foundations of the quantum theory, especially as carried out by Bohr, has features reminiscent of Hegelian philosophy. And, to quote Pauli, "dialectics is that mutual game of two opponents which is typical of the Copenhagen (...) interpretation of quantum mechanics." Bohr himself, while discussing the quantum theory, speaks of "profoundly true statements the opposites of which likewise contain deep verities.". (shrink)

Natural science, and physics as a branch of it, poses the goal of depicting nature as it is, without arbitrary additions by the intelligence cognizing it. This basic spirit of natural science explains why its outstanding representatives, subjectively remote from conscious dialectics, unconsciously apply its principles and postulates as they discover laws of nature and create new theories. One need only recall Engels' words on the discovery of the periodic table by Mendeleyev, who "by unconsciously employing Hegel's law of transition (...) from quantity into quality, performed a major feat in science." The same may be said, mutatis mutandis, about the creation of the theories of relativity and quantum mechanics. (shrink)

Synaesthesia is a condition in which one type of stimulation evokes the sensation of another, as when the hearing of a sound produces photisms, i.e. mental percepts of colours. R is a 20 year old colour blind subject who, in addition to the relatively common grapheme-colour synaesthesia, presents a rarely reported cross modal perception in which a variety of visual stimuli elicit aura-like percepts of colour. In R, photisms seem to be closely related to the affective valence of stimuli and (...) typically bring out a consistent pattern of emotional responses. The present case study suggests that colours might be an intrinsic category of the human brain. We developed an empirical methodology that allowed us to study the subject's otherwise inaccessible phenomenological experience. First, we found that R shows a Stroop effect elicited by photisms despite the fact that he does not show a regular Stroop with real colours. Secondly, by manipulating the colour context we confirmed that colours can alter R's emotional evaluation of the stimuli. Furthermore, we demonstrated that R's auras may actually lead to a partially inverted emotional spectrum where certain stimuli bring out emotional reactions opposite to the normal ones. These findings can only be accounted for by considering R's subjective colour experience or qualia. Therefore the present paper defends the view that qualia are a useful scientific concept that can be approached and studied by experimental methods. (shrink)

The Birkhoff-Maltsev problem asks for a characterization of those lattices each of which is isomorphic to the lattice L(K) of all subquasivarieties for some quasivariety K of algebraic systems. The current status of this problem, which is still open, is discussed. Various unsolved questions that are related to the Birkhoff-Maltsev problem are also considered, including ones that stem from the theory of propositional logics.

We assume, in the first place, that two kinds of processes occur in nature: the strictly continuous and causal ones, which are governed by the Schrödinger equation and those implying discontinuities, which are ruled by probability laws. In the second place, we adopt a postulate ensuring the statistical sense of conservation laws. These hypotheses allow us to state a rule telling, in principle, in which situations and to which vectors the system's state can collapse, and which are the corresponding probabilities. (...) The way our proposed approach works is illustrated with some examples and with the analysis of the measurement problem. We obtain the exponential decay law. A comparison with other attempts to solve the measurement problem is performed. (shrink)

LetL(K) denote the lattice (ordered by inclusion) of quasivarieties contained in a quasivarietyK and letD 2 denote the variety of distributive (0, 1)-lattices with 2 additional nullary operations. In the present paperL(D 2) is described. As a consequence, ifM+N stands for the lattice join of the quasivarietiesM andN, then minimal quasivarietiesV 0,V 1, andV 2 are given each of which is generated by a 2-element algebra and such that the latticeL(V 0+V1), though infinite, still admits an easy and nice description (...) (see Figure 2) while the latticeL(V 0+V1+V2), because of its intricate inner structure, does not. In particular, it is shown thatL(V 0+V1+V2) contains as a sublattice the ideal lattice of a free lattice with free generators. Each of the quasivarietiesV 0,V 1, andV 2 is generated by a 2-element algebra inD 2. (shrink)

How ought Christians to approach moral problems? This is a question of method in moral theology. It is also a question of who is in authority to speak on matters of morality. In this essay, the moral methodology of Richard McCormick, S.J., one of the most powerful voices in contemporary Roman Catholic theology, is explored in depth. Attention is focused on its critical details, its development over time, and in particular McCormick's use of authorities in Roman Catholicism. It is argued (...) that his ethical theory is built around one central insight: that the human person in all its facets and dimensions is the criterion of the rightness and wrongness of human actions. (shrink)