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Lectures on the Principles of Mathematics

In: David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933

Author

Listed:
  • William Ewald

    (University of Pennsylvania, Law School)

  • Wilfried Sieg

    (Carnegie Mellon University, Department of Philosophy)

Abstract

The following lectures, delivered during the Winter Semester 1917/18, are a pivotal event in the development of mathematical logic and mark the start of Hilbert1#x2019;s long and fruitful collaboration with Paul Bernays. Towards the end of his lectures on set theory in the preceding Summer Semester, Hilbert had stated (p. 146), 1#x2018;I hope to be able to explore a foundation for logic more deeply next semester1#x2019;.1 Those earlier lectures had been concerned with the mathematical articulation of set theory and with the prospects for a settheoretic reduction of mathematics. For Chapter IV of the set theory course, Hilbert had announced an enticing and enigmatic title: 1#x2018;Applications of Set Theory to Mathematical Logic1#x2019;. The lectures, however, did not reach the topic of logic proper, and give no hint of the approach Hilbert began exploring a few months later.

Suggested Citation

  • William Ewald & Wilfried Sieg, 2013. "Lectures on the Principles of Mathematics," Springer Books, in: William Ewald & Wilfried Sieg (ed.), David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933, edition 127, chapter 0, pages 31-272, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69444-1_1
    DOI: 10.1007/978-3-540-69444-1_1
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