Mathematical Reasoning and Visualization -- Visualization in Logic and Mathematics -- From Symmetry Perception to Basic Geometry -- Naturalism, Pictures, and Platonic Intuitions -- Mathematical Activity -- Mathematical Explanation and Proof Styles -- Tertium Non Datur: On Reasoning Styles in Early Mathematics -- The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Pr…
1 The Graeco-Roman World -- 2 The Roman world from the end of the republic to the end of the empire -- 3 The Middle Ages -- 4 From the age of the great transoceanic discoveries to the new measurements of the Earth .90 -- 5 The Figure and the size of the Earth in the XVIII Century -- 6 From the French Revolution to the artificial Satellites -- Epilogue -- The concept of Geoid -- The mathematical…
Invited Papers -- Invention and Artificial Intelligence -- Algorithms and Software for Collaborative Discovery from Autonomous, Semantically Heterogeneous, Distributed Information Sources -- Training Support Vector Machines via SMO-Type Decomposition Methods -- The Robot Scientist Project -- The Arrowsmith Project: 2005 Status Report -- Regular Contributions - Long Papers -- Practical Algorithm…
Fresnel’s (Dragging) Coefficient as a Challenge to 19th Century Optics of Moving Bodies -- Poincaré’s Relativistic Theory of Gravitation -- Standing on the Shoulders of a Dwarf: General Relativity—A Triumph of Einstein and Grossmann’s Erroneous Entwurf Theory -- Before the Riemann Tensor: The Emergence of Einstein’s Double Strategy -- A Conjecture on Einstein, the Independent Reality…
The Role of Mathematics in Physical Sciences — Interdisciplinary and Philosophical Aspects -- Mathematics and Physics: Reflecting on the Historical Role of Mathematics -- Oliver Heaviside’s “Dinner” -- Quantum Physics and Mathematical Debates Concerning the Problem of the Ontological Priority between Continuous Quantity and Discrete Quantity -- John von Neumann on Mathematical and Axiom…
On the Impossibility of Detecting Uniform Motion -- Exploring the Internal Logic of Galileo’s Principle of Relativity -- Relativity in Euclidean Space and in Spacetime -- Relativity and the Dimensionality of the World: Spacetime Is Real -- Quantum Mechanics and the Nature of Spacetime -- The Nature of Spacetime and Validity of Scientific Theories -- Propagation of Light in Non-Inertial Refere…
to Wolfgang Pauli’s Dialogue with C.G. Jung -- Wolfgang Pauli, the Copenhagen School and Philosophy -- The Copenhagen School and Psychology -- Pauli and Jung -- Incarnation and Quantum Physics -- Summary and Concluding Remarks."The Innermost Kernel" recounts the physicist and Nobel Laureate Wolfgang Pauli and his interest in Jungian psychology, philosophy and western world-view. It is also an…
Philosophy of Formal and Physical Sciences -- Demarcation of the Logical Constants and Logical Truth in Terms of Analyticity -- General Theory of Relativity and the 5th Test -- Implications of the Geometry of Quantum Mechanical Perfect Correlation Functions Concerning “Bell’s Theorem without Inequalities” -- Introductory Remarks -- Epistemological and Methodological Issues in Science -- Q…
Scientific Cognition in a Sociocultural Context -- Structure of Theoretical Knowledge -- The Foundations of Science -- Genesis of Theoretical Knowledge in Classical Science -- Formation and Development of Theory in Non-Classical Science -- Scientific Revolutions -- Strategies of Theoretical Investigation in the Epoch of Post-Non-Classical Science -- Strategies of Theoretical Investigation in th…
The Onset of the Scientific Revolution -- ‘Waterworld’: Descartes’ Vortical Celestial Mechanics -- Circular Argument -- From Mechanics to Mechanism -- The Autonomy of Natural Philosophy -- Physico-Theology and the Mixed Sciences -- The Saturn Problem -- Experimental Versus Speculative Natural Philosophy.The seventeenth century marked a critical phase in the emergence of modern science. Bu…