Cuprins
Frontmatter – Table of Contents – Acknowledgments – Introductory afterthoughts – 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 – Dimensions of Applicability – Applying Mathematics and the Indispensability 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 – 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 – 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 – 423-424
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