Physicalism in Mathematics

1. Epistemology & Nominalism.- 2. What Is Abstraction & What Is It Good For?.- 3. Beliefs About Mathematical Objects.- 5. Field & Fregean Platonism.- 5. ? in The Sky.- 6. Nominalism.- 7. The Logic of Physical Theory.- 8. Knowledge of Mathematical Objects.- 9. Physicalism, Reductionism & Hilbert.- 10. Physicalistic Platonism.- 11. Sets are Universals.- 12. Modal-Structural Mathematics.- 13. Logical & Philosophical Foundations for Arithmetical Logic.- 14. Criticisms of the Usual Rationale for Validity in Mathematics.- Contributors.- Index of Proper Names.

[1]  C. Wright Field & Fregean Platonism , 1990 .

[2]  Hartry Field Realism and Anti-Realism about Mathematics , 1982 .

[3]  P. Simons What is abstraction & what is it good for? , 1990 .

[4]  Jaegwon Kim,et al.  The role of perception in a priori knowledge: Some remarks , 1981 .

[5]  John P. Burgess,et al.  Why I am not a nominalist , 1983, Notre Dame J. Formal Log..

[6]  Alvin I. Goldman,et al.  A Causal Theory of Knowing , 1967 .

[7]  P. Maddy Perception and mathematical intuition , 1980 .

[8]  P. Kitcher The Plight of the Platonist , 1978 .

[9]  Chandler Davis Criticisms of the Usual Rationale for Validity in Mathematics , 1990 .

[10]  Michael Hallett Physicalism, Reductionism & Hilbert , 1990 .

[11]  D. Papineau Knowledge of Mathematical Objects , 1990 .

[12]  Geoffrey Hellman,et al.  Modal-Structural Mathematics , 1990 .

[13]  Hartry Field Quine and the Correspondence Theory , 1974 .

[14]  Penelope Maddy Mathematical Epistemology: What is the Question? , 1984 .

[15]  Arthur Pap Nominalism, Empiricism and Universals—I , 1959 .

[16]  Hans Hahn The Significance of the Scientific World View, Especially for Mathematics and Physics , 1980 .

[17]  Hartry Field,et al.  Is Mathematical Knowledge Just Logical Knowledge , 1984 .

[18]  Patrick Suppes,et al.  Sets and Numbers , 2021, Elementary Topology and Applications.

[19]  Paul Benacerraf,et al.  Philosophy of mathematics: What numbers could not be , 1965 .

[20]  Sets are Universals , 1990 .

[21]  M. Resnik Beliefs About Mathematical Objects , 1990 .

[22]  Michael D. Resnik Mathematics as a Science of Patterns: Epistemology , 1982 .