The book explores the mathematical analysis of straight lines, challenging traditional views that treat them as mere collections of discrete points, which compromises their inherent continuity. It delves into the concept of mathematical objects that can evolve over time, inviting readers to reconsider foundational principles in mathematics and how they relate to continuity and change.
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The book explores Gödel's ambitious project of integrating Husserl's transcendental phenomenology with Leibniz's monadology, aiming to establish a metaphysical foundation for classical mathematics. It delves into both the historical context and systematic implications of this endeavor, providing a thorough analysis and evaluation, particularly focusing on the project's second stage. The work highlights the intricate relationship between philosophy and mathematics through Gödel's innovative approach.
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Large variety of facets studied: biographical, contextual, philosophical, logical, and mathematical Significant progress on problems central to current foundational studies Brings together 21 contributions of today's leading authors on intuitionism Rich introduction to those new to research in the field Includes supplementary material: sn. pub/extras