From The Principle Of Least Action To The Conservation Of Quantum Information In Chemistry: Can One Generalize The Periodic Table?

The success of a few theories in statistical thermodynamics can be correlated with their selectivity to reality. These are the theories of Boltzmann, Gibbs, end Einstein. The starting point is Carnot’s theory, which defines implicitly the general selection of reality relevant to thermodynamics. The three other theories share this selection, but specify it further in detail. Each of them separates a few main aspects within the scope of the implicit thermodynamic reality. Their success grounds on that selection. Those aspects can be represented by corresponding oppositions. These are: macroscopic – microscopic; elements – states; relational – non-relational; and observable – theoretical. They can be interpreted as axes of independent qualities constituting a common qualitative reference frame shared by those theories. Each of them can be situated in this reference frame occupying a different place. This reference frame can be interpreted as an additional selection of reality within Carnot’s initial selection describable as macroscopic and both observable and theoretical. The deduced reference frame refers implicitly to many scientific theories independent of their subject therefore defining a general and common space or subspace for scientific theories (not for all). The immediate conclusion is: The examples of a few statistical thermodynamic theories demonstrate that the concept of “reality” is changed or generalized, or even exemplified (i.e. “de-generalized”) from a theory to another. Still a few more general suggestions referring the scientific realism debate can be added: One can admit that reality in scientific theories is some partially shared common qualitative space or subspace describable by relevant oppositions and rather independent of their subject quite different in general. Many or maybe all theories can be situated in that space of reality, which should develop adding new dimensions in it for still newer and newer theories. Its division of independent subspaces can represent the many-realities conception. The subject of a theory determines some relevant subspace of reality. This represents a selection within reality, relevant to the theory in question. The success of that theory correlates essentially with the selection within reality, relevant to its subjec

The Completeness: From Henkin's Proposition to Quantum Computer

The paper addresses Leon Hen.kin's proposition as a " lighthouse", which can elucidate a vast territory of knowledge uniformly: logic, set theory, information theory, and quantum mechanics: Two strategies to infinity are equally relevant for it is as universal and t hus complete as open and thus incomplete. Henkin's, Godel's, Robert Jeroslow's, and Hartley Rogers' proposition are reformulated so that both completeness and incompleteness to be unified and thus reduced as a joint property of infinity and of all infinite sets. However, only Henkin's proposition equivalent to an internal position to infinity is consistent . This can be retraced back to set theory and its axioms, where that of choice is a key. Quantum mechanics is forced to introduce infinity implicitly by Hilbert space, on which is founded its formalism. One can demonstrate that some essential properties of quantum information, entanglement, and quantum computer originate directly from infinity once it is involved in quantum mechanics. Thus, these phenomena can be elucidated as both complete and incomplete, after which choice is the border between them. A special kind of invariance to the axiom of choice shared by quantum mechanics is discussed to be involved that border between the completeness and incompleteness of infinity in a consistent way. The so-called paradox of Albert Einstein, Boris Podolsky, and Nathan Rosen is interpreted entirely in the same terms only of set theory. Quantum computer can demonstrate especially clearly the privilege of the internal position, or " observer'' , or "user" to infinity implied by Henkin's proposition as the only consistent ones as to infinity. An essential area of contemporary knowledge may be synthesized from a single viewpoint

Kant and Consequentialism (Reflections on Cummiskey’s Kantian Consequentialism)

In his article, the author considers possible forms of relationship between Kant’s ethics and consequentialism. In this context, he analyses David Cummiskey’s views which are expressed in his book, Kantian Consequentialism (1996). He demonstrates the possibility of justifying the consequentialism on the basis of Kant’s ethics and its values. Likewise, several other authors (such as Scott Forschler, Philipp Stratton-Lake, Michael Ridge) are of the opinion of the possible compatibility of Kant’s ethics and consequentialism. On the other hand, however, Christine M. Korsgaard is an example of a strict rejection of the similarity between Kant and the consequentialist ethics. The author based on the ethics of social consequences as a form of non-utilitarian consequentialism claims (like Cummiskey), that there are similarities between Kant’s ethics and consequentialism. Unlike Cummiskey, however, he sees similarity in the Kant’s formula of humanity and the understanding of humanity in ethics of social consequences, especially in the form of additional moral value

Ethics and politics of Great Moravia of the 9th century

The author studies the role of Christianity in two forms of 9th century political ethics in the history of Great Moravia, represented by the Great Moravian rulers Rastislav and Svatopluk. Rastislav’s conception predominantly uses the pre-Erasmian model of political ethics based on the pursuit of welfare for the country and its inhabitants by achieving the clerical-political independence of Great Moravia from the Frankish kingdom and, moreover, by utilising Christianity for the advancement of culture, education, literature, law and legality, as well as by spreading Christian ethics and morality in the form of the Christian code of ethics expressed in ethicallegal documents. Svatopluk’s political conception was a prototype of Machiavellian political ethics, according to which one is, in the interest of the country and its power and fame, allowed to be a lion and/or a fox. Svatopluk abused Christianity in the name of achieving his power-oriented goals. Great Moravia outlived Rastislav; it did not, however, outlive Svatopluk, as, shortly after his death, it broke up and ceased to exist. The author came to the conclusion that Rastislav’s conception was more viable, as its cultural heritage lives on in the form of works by Constantine and Methodius

A Formal Model of Metaphor in Frame Semantics

A formal model of metaphor is introduced. It models metaphor, first, as an interaction of “frames” according to the frame semantics, and then, as a wave function in Hilbert space. The practical way for a probability distribution and a corresponding wave function to be assigned to a given metaphor in a given language is considered. A series of formal definitions is deduced from this for: “representation”, “reality”, “language”, “ontology”, etc. All are based on Hilbert space. A few statements about a quantum computer are implied: The sodefined reality is inherent and internal to it. It can report a result only “metaphorically”. It will demolish transmitting the result “literally”, i.e. absolutely exactly. A new and different formal definition of metaphor is introduced as a few entangled wave functions corresponding to different “signs” in different language formally defined as above. The change of frames as the change from the one to the other formal definition of metaphor is interpreted as a formal definition of thought. Four areas of cognition are unified as different but isomorphic interpretations of the mathematical model based on Hilbert space. These are: quantum mechanics, frame semantics, formal semantics by means of quantum computer, and the theory of metaphor in linguistics

The new view to whole and part in post-metaphysical context

My departed point is the assessment that plurality in broadest sense characterizing any post- (for example: post-modernity, post-metaphysical, etc.) context is first of all plurality of whole. We may speak about wholes, movement of whole, and lack of any universal whole. Part do not already belongs to whole implicitly granted and common of all other parts. Now we may speak of parts in another relation: non of parts as parts of some common of all parts whole, but parts of difference wholes, and at the same time without any universal whole common of all the wholes. The paper is devoted concretely to the influence of such a comprehension of whole upon some basic notion of physics (especially quantum mechanics and information, relativity) and mathematics, namely probability, set, movement,time. Their changes exert influence upon the fundamental pbilosophical concepts of being and time, knowledge and being-in-the-world. The new conception of fractal, and its meaning in philosophy points out, too. Constancy and always existing of whole is equivalent to Newton time, energy conservation law, local realism and ''hidden parameters" of any correlations, a union of sets exists always if the two sets are granted

Reflections on morality in Renaissance thought

We can read about the morality of that time in works by authors who describe or criticize the conduct and activity of the members of those classes taking the lead in the morality of that time. Thus, we can find a lot of information about ancient Greece and its morality in Plato’s presentation of Socrates, Peter Abelard presenting the Middle Ages, Erasmus of Rotterdam, Niccolo Machiavelli, Baldesar Castiglione, but even also Slovak authors such as Martin Rakovský and Juraj Koppay presenting very interesting contemporary facts about the Renaissance

G. E. Moore and theory of moral/right action in ethics of social consequences

G. E. Moore’s critical analysis of right action in utilitarian ethics and his consequentialist concept of right action is a starting point for a theory of moral/right action in ethics of social consequences. The terms right and wrong have different meanings in these theories. The author explores different aspects of right and wrong actions in ethics of social consequences and compares them with Moore’s ideas. He positively evaluates Moore’s contributions to the development his theory of moral/right action

Why anything rather than nothing? The answer of quantum mechanics

Many researchers determine the question “Why anything rather than nothing?” as the most ancient and fundamental philosophical problem. Furthermore, it is very close to the idea of Creation shared by religion, science, and philosophy, e.g. as the “Big Bang”, the doctrine of “first cause” or “causa sui”, the Creation in six days in the Bible, etc. Thus, the solution of quantum mechanics, being scientific in fact, can be interpreted also philosophically, and even religiously. However, only the philosophical interpretation is the topic of the text. The essence of the answer of quantum mechanics is: 1. The creation is necessary in a rigorous mathematical sense. Thus, it does not need any choice, free will, subject, God, etc. to appear. The world exists in virtue of mathematical necessity, e.g. as any mathematical truth such as 2+2=4. 2. The being is less than nothing rather than more than nothing. So, the creation is not an increase of nothing, but the decrease of nothing: it is a deficiency in relation of nothing. Time and its “arrow” are the way of that diminishing or incompleteness to nothing