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Mathematical analysis --- Calculus --- Calcul infinitésimal --- 517.97 --- Calculus of variations. Mathematical theory of control --- 517.97 Calculus of variations. Mathematical theory of control --- Calcul infinitésimal

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Infinite --- Knowledge, Theory of --- Science --- Mathematics --- Philosophy --- Philosophy, Modern --- Infini --- Théorie de la connaissance --- Sciences --- Mathématiques --- Philosophie --- Philosophie moderne --- History --- Histoire --- Théorie de la connaissance --- Mathématiques --- History. --- Infinity --- Finite, The

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Geometry, Algebraic --- Noncommutative rings --- 512.73 --- 517.986 --- Non-commutative rings --- Associative rings --- Algebraic geometry --- Geometry --- Cohomology theory of algebraic varieties and schemes --- Topological algebras. Theory of infinite-dimensional representations --- 517.986 Topological algebras. Theory of infinite-dimensional representations --- 512.73 Cohomology theory of algebraic varieties and schemes --- Noncommutative rings. --- Géométrie algébrique --- Anneaux non commutatifs --- Géométrie algébrique --- Geometry, Algebraic. --- Géométrie différentielle non commutative --- Géométrie différentielle non commutative --- C etoile-algebres

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Graham Nerlich is one of the most distinguished of contemporary philosophers of space and time. Eleven of his essays are here brought together in a carefully structured volume, which deal with ontology and methodology in relativity, variable curvature and general relativity, and time and causation. The author has provided a new general introduction and also introductions to each part to bring the discussion more up to date and draw out the general themes. The book will be welcomed by all philosophers of physics, and of science in general.

Space and time. --- Relativity (Physics) --- Space and time --- Gravitation --- Nonrelativistic quantum mechanics --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics). --- Arts and Humanities

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This is a revised and updated edition of Graham Nerlich's classic book The Shape of Space. It develops a metaphysical account of space which treats it as a real and concrete entity. In particular, it shows that the shape of space plays a key explanatory role in space and spacetime theories. Arguing that geometrical explanation is very like causal explanation, Professor Nerlich prepares the ground for philosophical argument, and, using a number of novel examples, investigates how different spaces would affect perception differently. This leads naturally to conventionalism as a non-realist metaphysics of space, an account which Professor Nerlich criticises, rejecting its Kantian and positivistic roots along with Reichenbach's famous claim that even the topology of space is conventional. He concludes that there is, in fact, no problem of underdetermination for this aspect of spacetime theories, and offers an extensive discussion of the relativity of motion.

Relation (Philosophy) --- Science --- Space and time --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Normal science --- Philosophy of science --- Logic --- Ontology --- Arts and Humanities --- Space and time. --- Philosophy.