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Copyright Notice
Dedication
Acknowledgements
Preface
Abbreviations
Introduction
Chapter 1:  On The Nature of Formal Science
    1.1 - Quine's Rejection of Analytic and Synthetic Distinction:  A Challenge for Platonists
    1.2 - Taking Up the Challenge
        1.2.1 - Who Does Quine Criticize?
        1.2.2 - A Reply to Quine's Criticism
    1.3 - Formal Science:  A Neglected Platonist Perspective on Mathesis Universalis
Chapter 2:  Reply to usual Objections to Platonism
    2.1 - Causal Knowledge for Legitimate Epistemology?
    2.2 - Semantic Fictionalism
    2.3 - Non-Twilight Zone View of Formal Knowledge:  Platonist Epistemological Theories
        2.3.1 - The Mind's Eye
        2.3.2 - Realistic Rationalism
        2.3.3 - Husserlian Epistemology of Mathematics
    2.4 - Scientific Evidence for Mathematical Intuition
    2.5 - Platonism and the Fallibility of Knowledge
    2.6 - Where and Why Do Mistakes Occur?
Chapter 3:  Formal Science and Natural Science
    3.1 - The Quine-Putnam Theses
    3.2 - Quantum Logic
    3.3 - Refutation of the First Quine-Putnam Thesis
        3.3.1 - About the Problem of Quantum Logic
        3.3.2 - General Theory of Relativity and Non-Euclidean Geometry
        3.3.3 - Chaos Theory and Mathematics
        3.3.4 - The Paradox of Revisability
    3.4 - Reply to the Second Quine-Putnam Thesis
Conclusion
Applendix A:  Demystifying the Fregean and Psychological Husserl
    A.1 - Biographical Misconceptions
    A.2 - Frege's Semantic Theory Compared to Husserl's
    A.3 - Frege's and Husserl's Philosophies of Mathematics
Appendix B:  Creative Commons Legal Code
Appendix C:  GNU General Public License
References


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