Stewart Shapiro is O'Donnell Professor of Philosophy at The Ohio State University and Professorial Fellow at the Arché Centre, University of St. Andrews.

The Oxford Handbook of the Philosophy of Mathematics and Logic is a very accessible, wide ranging work that serves not only to indicate the 'state of the art' in the given area, but, remarkably, also serves as a very fine introduction to the field. I recommend it highly, both to workers in the given field and, equally, to the 'general philosopher,' regardless of one's main area.

• 1. Philosophy of Mathematics and Its Logic: Introductory Overview ; 2. Philosophy of Mathematics in the Modern Period ; 3. Later Empiricism and Logical Positivism ; 4. The Logicism of Frege, Dedekind and Russell ; 5. Logicism in the 21st Century ; 6. Logicism Reconsidered ; 7. Formalism ; 8. Intuitionism ; 9. Intuitionism and Mathematics ; 10. Intuitionism Reconsidered ; 11. Quine and the Web of Belief ; 12. Three Forms of Naturalism ; 13. Naturalism Reconsidered ; 14. Nominalism ; 15. Nominalism Reconsidered ; 16. Structuralism ; 17. Structuralism Reconsidered ; 18. Predicativity ; 19. Mathematics - Application and Applicability ; 20. Logical Consequence, Proof Theory, and Model Theory ; 21. Logical Consequence From a Constructivist Point of View ; 22. Relevance in Reasoning ; 23. No Requirement of Relevance ; 24. Higher-order Logic ; 25. Higher-order Logic Reconsidered

Stewart Shapiro is O'Donnell Professor of Philosophy at The Ohio State University and Professorial Fellow at the Arché Centre, University of St. Andrews.

The Oxford Handbook of the Philosophy of Mathematics and Logic is a very accessible, wide ranging work that serves not only to indicate the 'state of the art' in the given area, but, remarkably, also serves as a very fine introduction to the field. I recommend it highly, both to workers in the given field and, equally, to the 'general philosopher,' regardless of one's main area.

• 1. Philosophy of Mathematics and Its Logic: Introductory Overview ; 2. Philosophy of Mathematics in the Modern Period ; 3. Later Empiricism and Logical Positivism ; 4. The Logicism of Frege, Dedekind and Russell ; 5. Logicism in the 21st Century ; 6. Logicism Reconsidered ; 7. Formalism ; 8. Intuitionism ; 9. Intuitionism and Mathematics ; 10. Intuitionism Reconsidered ; 11. Quine and the Web of Belief ; 12. Three Forms of Naturalism ; 13. Naturalism Reconsidered ; 14. Nominalism ; 15. Nominalism Reconsidered ; 16. Structuralism ; 17. Structuralism Reconsidered ; 18. Predicativity ; 19. Mathematics - Application and Applicability ; 20. Logical Consequence, Proof Theory, and Model Theory ; 21. Logical Consequence From a Constructivist Point of View ; 22. Relevance in Reasoning ; 23. No Requirement of Relevance ; 24. Higher-order Logic ; 25. Higher-order Logic Reconsidered

Stewart Shapiro is O'Donnell Professor of Philosophy at The Ohio State University and Professorial Fellow at the Arché Centre, University of St. Andrews.

The Oxford Handbook of the Philosophy of Mathematics and Logic is a very accessible, wide ranging work that serves not only to indicate the 'state of the art' in the given area, but, remarkably, also serves as a very fine introduction to the field. I recommend it highly, both to workers in the given field and, equally, to the 'general philosopher,' regardless of one's main area.

• 1. Philosophy of Mathematics and Its Logic: Introductory Overview ; 2. Philosophy of Mathematics in the Modern Period ; 3. Later Empiricism and Logical Positivism ; 4. The Logicism of Frege, Dedekind and Russell ; 5. Logicism in the 21st Century ; 6. Logicism Reconsidered ; 7. Formalism ; 8. Intuitionism ; 9. Intuitionism and Mathematics ; 10. Intuitionism Reconsidered ; 11. Quine and the Web of Belief ; 12. Three Forms of Naturalism ; 13. Naturalism Reconsidered ; 14. Nominalism ; 15. Nominalism Reconsidered ; 16. Structuralism ; 17. Structuralism Reconsidered ; 18. Predicativity ; 19. Mathematics - Application and Applicability ; 20. Logical Consequence, Proof Theory, and Model Theory ; 21. Logical Consequence From a Constructivist Point of View ; 22. Relevance in Reasoning ; 23. No Requirement of Relevance ; 24. Higher-order Logic ; 25. Higher-order Logic Reconsidered