Naturalizing Badiou [electronic resource] : Mathematical Ontology and Structural Realism /
Gironi, Fabio.author.
Crossing the boundaries between 'continental' and 'analytic' philosophical approaches, this book proposes a naturalistic revision of the mathematical ontology of Alain Badiou, establishing links with structuralist projects in the philosophy of science and mathematics.
Description based upon print version of record.
Cover; Half-Title; Title; Copyright; Dedication; Contents; Acknowledgements; Note about Citations; Introduction; 1 Badiou's Mathematical Ontology; 1.1 Death(s) of God: for axiomatic immanence; 1.2 Subtractive ontology; 1.3 Set theory; 1.4 The Void; 1.5 Secularising infinity; 2 The Ontological and the Empirical: Naturalist Objections; 2.1 Pythagoreanism and materialism; 2.2 Philosophy of mathematics to the rescue; 2.3 The applicability of mathematics; 2.4 Naturalist explanations of mathematics; 2.5 Two naturalising strategies; 2.6 The matherialist option
3 Taking a Stance on Realism and Naturalism3.1 Scientific realism; 3.2 The realist stance; 3.3 Transgressive naturalism; 3.4 Historicist excursus: Collingwood and Bachelard; 3.5 The realist's task; 4 Structural Realisms; 4.1 Scientific realism, its adbuctive defence ... and its discontents; 4.2 Epistemic structural realism; 4.3 Ontic structural realism; 4.4 Mathematical structuralism; 4.5 Structures of what?; 5 Truth and Randomness; 5.1 Against fundamental ontology; 5.2 Idealism and rationality; 5.3 Truth as abductive process; 5.4 Metamathematics and randomness; Conclusion; Notes
BibliographyIndex
Includes bibliographical references and index.
Crossing the boundaries between 'continental' and 'analytic' philosophical approaches, this book proposes a naturalistic revision of the mathematical ontology of Alain Badiou, establishing links with structuralist projects in the philosophy of science and mathematics.
Badiou, Alain.
Philosophy.
Mathematics-Philosophy.
Philosophy and science.
Metaphysics.
History of Philosophy.
Philosophy of Mathematics.
Philosophy of Science.
Metaphysics.