The book is a collection of the author's selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered.
This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.
Jan Wolenski: Foreword Philosophy of Mathematics Cantor's Philosophy of Set Theory Leibniz's and Kant's Philosophical Ideas vs. Hilbert's Program Truth vs. Provability. Philosophical and Historical Remarks Philosophy of Mathematics in the 20th Century. Main Trends and Doctrines On New Trends in the Philosophy of Mathematics Remarks on the Structuralistic Epistemology of Mathematics (with Izabela Bondecka-Krzykowska) From the History of the Concept of Number (with Thomas Bedurftig) Church's Thesis and Its Epistemological Status Phenomenology and Philosophy of Mathematics History of Logic and Mathematics Hoene-Wronski - Genius or Madman? Grassmann's Contribution to Mathematics Giuseppe Peano and Symbolic Logic E.L. Post and the Development of Logic John von Neumann and Hilbert's School Contribution of Polish Logicians to Decidability Theory Contribution of Polish Logicians to Predicate Calculus The English Algebra of Logic in the 19th Century The Development of Symbolism in Logic and Its Philosophical Background (with Thomas Bedurftig) References Acknowledgments Name Index