Philosophical and Methodological Foundations of Post-Godelian Mathematics

Philosophical and Methodological Foundations of Post-Godelian Mathematics

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Russian
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The book "Philosophical and Methodological Foundations of Post-Gdelian Mathematics" by N. In. Mikhailova is a deep and fascinating study in the philosophy and methodology of mathematics. This work will be a real find for everyone who is interested not only in mathematics itself, but also in the philosophical questions it raises. In his work, Mikhailov refers to the legacy of Kurt Gdel, whose incompleteness theorems became a real revolution in mathematical logic and philosophy. The author analyzes how Gdel's ideas influenced the further development of mathematical thought and what new horizons open up for researchers in the light of these discoveries. He explores how post-Gdelian mathematics changes our understanding of the truth, proof, and structure of mathematical theories. The book touches on key questions: what is mathematical truth? What are the boundaries of formal systems? What is the role of intuition in mathematics? This work will be of interest to both professional mathematicians and philosophers, as well as undergraduate and graduate students studying the philosophy of science . Readers who are passionate about topics such as logic, set theory, and the foundation of mathematics will find many valuable ideas and deep reflections in the book. Mikhailov not only offers theoretical concepts, but also asks important questions that encourage the reader to reflect and discuss. The topics raised in the book go beyond purely mathematical questions. Mikhailov explores how philosophical ideas can influence the practical application of mathematics, and how, in turn, mathematical discoveries can change philosophical thinking. This relationship between mathematics and philosophy makes the book particularly relevant in today's world, where the boundaries between disciplines are becoming increasingly blurred. Style N. In. Mikhailova is distinguished by clarity and logical presentation, which makes complex concepts available to a wide audience. His ability to explain abstract ideas in simple language allows the reader not only to understand, but also to feel the beauty of mathematical thought. This quality makes his work unique in its kind. In addition, N. In. Mikhailov is known for his other works, which also deal with the philosophical and methodological aspects of science. His works, such as Logic and the Language of Mathematics and Philosophy of Mathematics: From Antiquity to Modernity, have already won recognition among researchers and students. In the Philosophical and Methodological Foundations of Post-Gdelian Mathematics, the author continues to develop his ideas, offering readers new perspectives and an in-depth understanding of the subject. If you are looking for a book that will not only expand your knowledge of mathematics, but also make you think about its philosophical foundations, the Philosophical and Methodological Foundations of Post-Godelian Mathematics will be a real discovery for you. This work is not just a textbook, but a real intellectual provocation that can inspire further research and reflection. Readers interested in questions of truth, logic and philosophy of science will find in this book a rich source of ideas and inspiration. Do not miss the opportunity to immerse yourself in a world where mathematics and philosophy are intertwined, opening up new horizons for understanding reality.
LF/643678452/R

Data sheet

Name of the Author
Михайлова Н.В.
Language
Russian
ISBN
9789855260425
Release date
2009

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Philosophical and Methodological Foundations of Post-Godelian Mathematics

The book "Philosophical and Methodological Foundations of Post-Gdelian Mathematics" by N. In. Mikhailova is a deep and fascinating study in the philosophy and m...

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