Lucretius' arguments on the swerve and free-action

In his version of atomism, Lucretius made explicit reference to the concept of an intrinsic declination of the atom, the atomic swerve (clinamen in Latin), stressing that the time and space of the infinitesimal atomic vibration is uncertain. The topic of this article is the Epicurean and Lucretian arguments in favour of the swerve. Our exposition of the Lucretian model of the atomic clinamen will present and elucidate the respective considerations on the alleged role of the swerve in the generation of free-action

Reason, causation and compatibility with the phenomena

'Reason, Causation and Compatibility with the Phenomena' strives to give answers to the philosophical problem of the interplay between realism, explanation and experience. This book is a compilation of essays that recollect significant conceptions of rival terms such as determinism and freedom, reason and appearance, power and knowledge. This title discusses the progress made in epistemology and natural philosophy, especially the steps that led from the ancient theory of atomism to the modern quantum theory, and from mathematization to analytic philosophy. Moreover, it provides possible gateways from modern deadlocks of theory either through approaches to consciousness or through historical critique of intellectual authorities. This work will be of interest to those either researching or studying in colleges and universities, especially in the departments of philosophy, history of science, philosophy of science, philosophy of physics and quantum mechanics, history of ideas and culture. Greek and Latin Literature students and instructors may also find this book to be both a fascinating and valuable point of reference

The Logical Relation of Consequence

The present endeavour aims at the clarification of the concept of the logical consequence. Initially we investigate the question: How was the concept of logical consequence discovered by the medieval philosophers? Which ancient philosophical foundations were necessary for the discovery of the logical relation of consequence and which explicit medieval contributions, such as the notion of the formality (formal validity), led to its discovery. Secondly we discuss which developments of modern philosophy effected the turn from the medieval concept of logical consequence to its most recent conceptions, such as the semantic, syntactic, axiomatic and natural deductive approaches? Thirdly we examine which are the similarities and the differences between the logical concepts of consequence, inference, implication and entailment? Furthermore, we ask what kind of relation signifies the concept of the logical consequence? That is to say, which is the analytic definition of the consequence relation R between the premises p1, p2...pn and the conclusion c of a formally valid argument? Finally, we focus on the respective answers given through the developments in proof theory by David Hilbert and Gerhard Gentzen.

Impacts, symmetries and decisions: the quest for habitable worlds

There is a vast amount of research data from space exploration on the topics of impacts, symmetries, habitable zone, chemical compositions, atmosphere, climate and geology. The related facts, sayings and relations need to be evaluated by a theory of decision based on strategies of reflection on empirical research and cooperation. Hundreds of technological applications, appropriate inventions and innovations are being introduced for the implementation of the objective to find habitable worlds. A logic of space science and technology is being, therefore, continuously tested through focusing on efficiency, computability, polyvalence, feedback control etc. This effort needs also to be assisted by a reevaluation of conceptual and mathematical frameworks, with the adoption of new physical definitions and new units of measurement. An example of the requirement for conceptual reevaluation is the increasing significance of astrobiology, on account of the quest for water, life and habitable planets. Hereby philosophy of physics meets the philosophy of biology, so far as the concepts of life and non-life could plausibly be reconsidered by space exploration, while ethical problems on the value of space medicine, health and information arise, as well. An example of the requirement for reflection on mathematical frameworks is the task for an efficient motion of spacecraft to the interstellar medium, to Proxima Centauri b and other exoplanets. Such a task should require the adoption of new units of measurement, for instance, of the magnitude of ~6.000 km/s (30 times faster than the Parker Solar Probe), being thus better comparable to the speed of light (since ~6.000 km/s equals to 1/50 or 2% of the speed of light). Moreover, a crucial challenge to reflection is the role of the magnetosphere, the magnetic fields and dynamos for the development and the motion of the planets of our solar system and exoplanets. A successful procedure to explaining the contribution of the magnetic field to planetary dynamics may help us answer serious scientific questions and probably may contribute to the discovery of a new unified physical theory of everything

Space and Time as Relations: The Theoretical Approach of Leibniz

The epistemological rupture of Copernicus, the laws of planetary motions of Kepler, the comprehensive physical observations of Galileo and Huygens, the conception of relativity, and the physical theory of Newton were components of an extremely fertile and influential cognitive environment that prompted the restless Leibniz to shape an innovative theory of space and time. This theory expressed some of the concerns and intuitions of the scientific community of the seventeenth century, in particular the scientific group of the Academy of Sciences of Paris, but remained relatively unknown until the twentieth century. After Einstein, however, the relational theory of Leibniz gained wider respect and fame. The aim of this article is to explain how Leibniz foresaw relativity, through his critique of contemporary mechanistic philosophy