Axiomatic Formal Ontology is a fairly comprehensive systematic treatise on general metaphysics. The axiomatic method is applied throughout the book. Its main theme is the construction of a general non-set-theoretical theory of intensional entities. Other important matters discussed are the metaphysics of modality, the nature of actual existence, mereology and the taxonomy of entities.
This book presents a comprehensive, non-model-theoretic theory of ontic necessity and possibility within a formal (and formalized) ontology consisting of states of affairs, properties, and individuals. Its central thesis is that all modalities are reducible to intrinsic (or "logical") possibility and necessity if reference is made to certain states of affairs, called "bases of necessity." The viability of this Bases-Theory of Modality is shown also in the case of conditionals, including counterfactual conditionals. Besides the ontological aspects of the philosophy of modality, also the epistemology of modality is treated in the book. It is shown that the Bases-Theory of Modality provides a satisfactory solution to the epistemological problem of modality. In addition to developing that theory, the book includes detailed discussions of positions in the philosophy of modality maintained by Alvin Plantinga, David Lewis, Charles Chihara, Graeme Forbes, David Armstrong, and others. Among the themes treated are: possibilism vs. actualism; the theory of essences; conceivability and possibility; the nature of possible worlds; the nature of logical, nomological, and metaphysical possibility and necessity.
Axiomatic Formal Ontology is a fairly comprehensive systematic treatise on general metaphysics. The axiomatic method is applied throughout the book. Its main theme is the construction of a general non-set-theoretical theory of intensional entities. Other important matters discussed are the metaphysics of modality, the nature of actual existence, mereology and the taxonomy of entities.
This book models and simulates metaphysics by presenting the metaphysics of a model. The small size of the model makes it possible to treat metaphysical matters with a more than usual systematicity and comprehensiveness. In the mirror of sustained analogy, simulation-metaphysics offers a wealth of insights on the real thing: on the doctrines, the methods, and the epistemology of metaphysics.
The phenomenological approach to the philosophy of mind, as inaugurated by Brentano and worked out in a very sophisticated way by Husserl, has been severely criticized by philosophers within the Wittgensteinian tradition and, implicitly, by Wittgenstein himself. Their criticism is, in the epistemological regard, directed against introspectionism, and in the ontological regard, against an internalist and qualia-friendly, non-functionalist (or: broadly dualistic/idealistic) conception of the mind. The book examines this criticism in detail, looking at the writings of Wittgenstein, Ryle, Hacker, Dennett, and other authors, reconstructing their arguments, and pointing out where they fall short of their aim. In defending Husserl against his Wittgensteinian critics, the book also offers a comprehensive fresh view of phenomenology as a philosophy of mind. In particular, Husserl’s non-representationalist theory of intentionality is carefully described in its various aspects and elucidated also with respect to its development, taking into account writings from various periods of Husserl’s career. Last but not least, the book shows Wittgensteinianism to be one of the effective roots of the present-day hegemony of physicalism.
This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. In the early chapters, focus is placed on concrete examples of the links between algebraic relations and the moments of probability distributions. The subsequent chapters are more advanced and deal with Wigner densities for non-commutative couples of random variables, non-commutative stochastic processes with independent increments (quantum Lévy processes), and the quantum Malliavin calculus. This book will appeal to advanced undergraduate and graduate students interested in the relations between algebra, probability, and quantum theory. It also addresses a more advanced audience by covering other topics related to non-commutativity in stochastic calculus, Lévy processes, and the Malliavin calculus.
The phenomenological approach to the philosophy of mind, as inaugurated by Brentano and worked out in a very sophisticated way by Husserl, has been severely criticized by philosophers within the Wittgensteinian tradition and, implicitly, by Wittgenstein himself. Their criticism is, in the epistemological regard, directed against introspectionism, and in the ontological regard, against an internalist and qualia-friendly, non-functionalist (or: broadly dualistic/idealistic) conception of the mind. The book examines this criticism in detail, looking at the writings of Wittgenstein, Ryle, Hacker, Dennett, and other authors, reconstructing their arguments, and pointing out where they fall short of their aim. In defending Husserl against his Wittgensteinian critics, the book also offers a comprehensive fresh view of phenomenology as a philosophy of mind. In particular, Husserl’s non-representationalist theory of intentionality is carefully described in its various aspects and elucidated also with respect to its development, taking into account writings from various periods of Husserl’s career. Last but not least, the book shows Wittgensteinianism to be one of the effective roots of the present-day hegemony of physicalism.
This book models and simulates metaphysics by presenting the metaphysics of a model. The small size of the model makes it possible to treat metaphysical matters with a more than usual systematicity and comprehensiveness. In the mirror of sustained analogy, simulation-metaphysics offers a wealth of insights on the real thing: on the doctrines, the methods, and the epistemology of metaphysics.
This book presents a comprehensive, non-model-theoretic theory of ontic necessity and possibility within a formal (and formalized) ontology consisting of states of affairs, properties, and individuals. Its central thesis is that all ontic modalities are reducible to intrinsic (or "logical") possibility and necessity if reference is made to certain states of affairs, called "bases of necessity." The viability of this Bases-Theory of Modality is shown also in the case of conditionals, including counterfactual conditionals. In addition to the ontological aspects of the philosophy of modality, the epistemology of modality is also treated in the book. It is shown that the Bases-Theory of Modality provides a satisfactory solution to the epistemological problem of modality. In addition to developing that theory, the book includes detailed discussions of positions in the philosophy of modality maintained by Alvin Plantinga, David Lewis, Charles Chihara, Graeme Forbes, David Armstrong, and others. Among the themes treated are: possibilism vs. actualism; the theory of essences; conceivability and possibility; the nature of possible worlds; the nature of logical, nomological, and metaphysical possibility and necessity. Uwe Meixner teaches philosophy at the University of the Saarland (Germany).
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