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Logic [Symbolic and mathematical ] --- Logica [Symbolische en wiskundige ] --- Logique symbolique et mathémathique --- Mathematics --- Logic, symbolic and mathematical --- Philosophy --- Foundations --- Logic, Symbolic and mathematical --- -Mathematics --- -Math --- Science --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic, Symbolic and mathematical. --- Foundations. --- Philosophy. --- -Foundations --- Logic of mathematics --- Mathematics, Logic of --- Math --- Mathématiques --- Philosophie --- Frege, gottlob (1848-1925)
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The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in the twentieth century. This volume of classic, revised and newly written essays by William Demopoulos examines logicism's principal legacy for philosophy: its elaboration of notions of analysis and reconstruction. The essays reflect on the deployment of these ideas by the principal figures in the history of the subject - Frege, Russell, Ramsey and Carnap - and in doing so illuminate current concerns about the nature of mathematical and theoretical knowledge. Issues addressed include the nature of arithmetical knowledge in the light of Frege's theorem; the status of realism about the theoretical entities of physics; and the proper interpretation of empirical theories that postulate abstract structural constraints.
Logic, Symbolic and mathematical. --- Mathematics --- Philosophy. --- Mathematische Logik --- Mathematik. --- Philosophie. --- Mathematische Logik. --- Logic, Symbolic and mathematical --- Logic of mathematics --- Mathematics, Logic of --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Philosophy --- Arts and Humanities
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A renowned philosopher’s final work, illuminating how the logical empiricist tradition has failed to appreciate the role of actual experiments in forming its philosophy of science. The logical empiricist treatment of physics dominated twentieth-century philosophy of science. But the logical empiricist tradition, for all it accomplished, does not do justice to the way in which empirical evidence functions in modern physics. In his final work, the late philosopher of science William Demopoulos contends that philosophers have failed to provide an adequate epistemology of science because they have failed to appreciate the tightly woven character of theory and evidence. As a consequence, theory comes apart from evidence. This trouble is nowhere more evident than in theorizing about particle and quantum physics. Arguing that we must consider actual experiments as they have unfolded across history, Demopoulos provides a new epistemology of theories and evidence, albeit one that stands on the shoulders of giants. On Theories finds clarity in Isaac Newton’s suspicion of mere “hypotheses.” Newton’s methodology lies in the background of Jean Perrin’s experimental investigations of molecular reality and of the subatomic investigations of J. J. Thomson and Robert Millikan. Demopoulos extends this account to offer novel insights into the distinctive nature of quantum reality, where a logico-mathematical reconstruction of Bohrian complementarity meets John Stewart Bell’s empirical analysis of Einstein’s “local realism.” On Theories ultimately provides a new interpretation of quantum probabilities as themselves objectively representing empirical reality.
Empiricism. --- Physics --- Quantum theory. --- Science --- SCIENCE / Physics / Quantum Theory. --- Normal science --- Philosophy of science --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Experience --- Knowledge, Theory of --- Rationalism --- Philosophy. --- Avogadro’s constant. --- Bell’s theorem. --- Bohr. --- Brownian motion. --- Gleason’s theorem. --- Gödel. --- Hilbertian axiomatics. --- Maxwell-Boltzmann statistics. --- Poincaré. --- Putnam. --- Ramsey sentences. --- constructive empiricism. --- quantum logic. --- second law of thermodynamics.
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Psycholinguistics --- Language acquisition. --- Concepts. --- Langage --- Concepts --- Acquisition --- Concept Formation. --- Language Development. --- Language acquisition --- Acquisition of language --- Developmental linguistics --- Developmental psycholinguistics --- Language and languages --- Language development in children --- Psycholinguistics, Developmental --- Interpersonal communication in children --- Concept formation --- Abstraction --- Knowledge, Theory of --- Perception --- Psychology --- Development, Language --- Developments, Language --- Language Developments --- Concept Formations --- Formation, Concept --- Formations, Concept --- Concept Formation --- Language Development --- Language Acquisition --- Acquisition, Language --- Concept Learning --- Conceptualization --- Learning, Concept --- Concept Acquisition --- Acquisition, Concept --- Acquisitions, Concept --- Concept Acquisitions
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The logical empiricist treatment of physics dominated twentieth-century philosophy of science. But the logical empiricist tradition, for all it accomplished, does not do justice to the way in which empirical evidence functions in modern physics.In his final work, the late philosopher of science William Demopoulos contends that philosophers have failed to provide an adequate epistemology of science because they have failed to appreciate the tightly woven character of theory and evidence. As a consequence, theory comes apart from evidence. This trouble is nowhere more evident than in theorizing about particle and quantum physics. Arguing that we must consider actual experiments as they have unfolded across history, Demopoulos provides a new epistemology of theories and evidence, albeit one that stands on the shoulders of giants. On Theories finds clarity in Isaac Newton's suspicion of mere "hypotheses." Newton's methodology lies in the background of Jean Perrin's experimental investigations of molecular reality and of the subatomic investigations of J. J. Thomson and Robert Millikan. Demopoulos extends this account to offer novel insights into the distinctive nature of quantum reality, where a logico-mathematical reconstruction of Bohrian complementarity meets John Stewart Bell's empirical analysis of Einstein's "local realism." On Theories ultimately provides a new interpretation of quantum probabilities as themselves objectively representing empirical reality.
Empiricism. --- Physics --- Quantum theory. --- Science --- Empirisme --- Physique --- Philosophie des sciences --- Philosophy. --- Philosophie
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Theory of knowledge --- Philosophy of science --- Quantum mechanics. Quantumfield theory --- Computer. Automation --- computergestuurd meten --- quantumfysica --- epistomologie
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Cognitive psychology --- Artificial intelligence. Robotics. Simulation. Graphics --- Cognitive science --- Knowledge, Theory of --- Meaning (Philosophy) --- Semantics --- -Formal semantics --- Semasiology --- Semiology (Semantics) --- Comparative linguistics --- Information theory --- Language and languages --- Lexicology --- Meaning (Psychology) --- Philosophy --- Semantics (Philosophy) --- Epistemology --- Theory of knowledge --- Psychology --- Science --- Philosophy of mind --- Cognitive science. --- Knowledge, Theory of. --- Philosophy. --- -Philosophy --- Meaning (Philosophy). --- Formal semantics
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Language acquisition --- Learning ability --- Grammar, Comparative and general --- Psycholinguistics
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Mathematical physics. --- Quantum theory. --- Relativity (Physics). --- Mathematical physics --- Quantum theory --- Relativity (Physics) --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Physical mathematics --- Mathematics
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