Space of Mathematics : Philosophical, Epistemological, and Historical Explorations, The
Mathematics Conference papers and proceedings History sähkökirjat Geschichte Kongress Mathematik Philosophie San Sebastian <1990>
De Gruyter
1992
EISBN 9783110870299
""Table of Contents""; ""Acknowledgments""; ""Introductory afterthoughts""; ""1. Structural Dimensions""; ""The Protean Character of Mathematics""; ""Categories of Space and of Quantity""; ""Structural Analogies Between Mathematical and Empirical Theories""; ""Reduction and Explanation: Science vs. Mathematics""; ""Reality, Truth, and Confirmation in Mathematics � Reflections on the Quasi-empiricist Programme""; ""Tacit Knowledge in Mathematical Theory""; ""Structure-similarity as a Cornerstone of the Philosophy of Mathematics""; ""2. Dimensions of Applicability""
""A Structuralist View of Lagrange�s Algebraic Analysis and the German Combinatorial School""""Constructivism and Objects of Mathematical Theory""; ""Turing�s “Oracle�: From Absolute to Relative Computability � And Back""; ""Computers and Mathematics: The Search for a Discipline of Computer Science""; ""4. Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations""; ""Theories and the Flow of Information""; ""Structuralism and Scientific Discovery""; ""Towards a Typology of Intertheoretical Relations""; ""Index of Names""
""Applying Mathematics and the Indispensibility Argument""""Mathematical Structures and Physical Necessity""; ""The Role of Mathematics in Physical Science""; ""The Status of Set-theoretic Axioms in Empirical Theories""; ""Suppes Predicates for Classical Physics""; ""Mathematics in Philosophy""; ""3. Historical Dimensions""; ""Are There Revolutions in Mathematics?""; ""Observations, Problems, and Conjectures in Number Theory � The History of the Prime Number Theorem""; ""Historical Aspects of the Foundations of Error Theory""
""A Structuralist View of Lagrange�s Algebraic Analysis and the German Combinatorial School""""Constructivism and Objects of Mathematical Theory""; ""Turing�s “Oracle�: From Absolute to Relative Computability � And Back""; ""Computers and Mathematics: The Search for a Discipline of Computer Science""; ""4. Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations""; ""Theories and the Flow of Information""; ""Structuralism and Scientific Discovery""; ""Towards a Typology of Intertheoretical Relations""; ""Index of Names""
""Applying Mathematics and the Indispensibility Argument""""Mathematical Structures and Physical Necessity""; ""The Role of Mathematics in Physical Science""; ""The Status of Set-theoretic Axioms in Empirical Theories""; ""Suppes Predicates for Classical Physics""; ""Mathematics in Philosophy""; ""3. Historical Dimensions""; ""Are There Revolutions in Mathematics?""; ""Observations, Problems, and Conjectures in Number Theory � The History of the Prime Number Theorem""; ""Historical Aspects of the Foundations of Error Theory""
