Notes on set theory
by Yiannis N. Moschovakis · first published 1994
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3HN commenters
2016–2020first – last mentioned
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The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects of the subject: it gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets (including the basic results that have applications to compu
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Moschovakis, "Notes on Set Theory". Fast paced introduction to axiomatic set theory without too many prerequisites. The 'NAND to Tetris' of mathematics if you will.
on “Ask HN: Books you read in 2016?” ↗…once). that our current understanding of math is really "all there is". Nobody says this, indeed this is an immediate consequence of Goedel's incompleteness results. [1] Yiannis Moschovakis, Notes on Set Theory (https://www.amazon.com/Notes-Theory-Undergraduate-Texts-Math...)
on “A Taste of Linear Logic (1993) [pdf]” ↗…shallow goal in the beginning: to be able to solve the previous years' math GRE papers. Off the top of my head, these were some of the books that I worked through: 1. Spivak's Calculus. 2. Johnstone's Notes on Set Theory and Logic. 3. Gamelin's Complex Analysis. 4. Hoffman & Kunz' Linear Algebra. 5. Dummit & Foote's Abstract Algebra; just the group theory. 6. Munkres' Topology; just the general topology. Once I was…
on “Ask HN: Is there a website specialized in mathematics courses?” ↗