Literate Scientist

This is a book I bought a few years ago and started reading immediately but put aside and only this summer read it fully from cover to cover. In order to appreciate its content you need some degree of mathematical and computer science maturity. For example, if you have never heard of his theorems and only read Incompleteness: The Proof and Paradox of Kurt Godel or similar popular book then you would have difficulty going through the book and it would appear boring. It is not an entertaining or bedside reading. This is why I put it aside on the first reading although I knew about this theorem since I read “Mathematics: The Loss of Certainty” more than 25 years ago being a schoolboy (in Russian translation). Just before writing this review I ordered “There’s Something About Godel: The Complete Guide to the Incompleteness Theorem” and the latter looks like less heavy reading judged from excerpts from its publisher website. Putting all these reminiscences aside I really enjoyed second reading of “Godel’s Theorem”. It really clarified some points from ¬B->¬A or PA & ¬Con(PA) perspectives and made me curious about fixpoints. I even borrowed the latter term and introduced them for crash dump analysis and debugging: “a dereference fixpoint”. I also liked chapters 4 and 6 about using Godel’s theorems outside mathematics and clarifying misconceptions in Rucker’s and Penrose’s books. However, after a few months I cannot recall anything definite what I read from that book although I felt good that I understood everything while reading so perhaps the book requires the 3rd reading for me I’m going to give it another try after “There’s Something About Godel” and update this review.

Godel’s Theorem: An Incomplete Guide to Its Use and Abuse

- Dmitry Vostokov @ LiterateScientist.com -

This is an encyclopedic work I bought in a local book shop and finally finished reading today. It took me a year to read from cover to cover and pages were falling out of the glue but I continued to read. Highly recommended for education and another view on human history. The review of Freud was enlightening to me because I didn’t know about the recent scholarship criticizing his work. In fact, I so liked this book that just bought it again in a hardcover version from Folio Society and start rereading it again soon.

Ideas: A History of Thought and Invention, from Fire to Freud

The second encyclopedic book seems was written before the previous one but looks like the logical sequel to it. I’m starting reading it next week.

The Modern Mind: An Intellectual History of the 20th Century

- Dmitry Vostokov @ LiterateScientist.com -

I read this book from cover to cover while flying on a plane from Dublin to St. Petersburg and back. That was so wonderful reading experience - I couldn’t put the book down during those flights. I recall that I visited the Department of Mathematics a few times when I studied Chemistry in Moscow State University although at that time I knew next to nothing about Russian mathematicians. The book touched me so deeply that I bought the main work of Florensky: The Pillar and Ground of the Truth, the history of Russian philosophy and several books explaining Orthodox Church. This is the best mathematics history book I have ever read, my feelings perhaps comparable to those that I experienced when I finished reading Mathematics: The Loss of Certainty by Morris Kline but that was more than 20 years ago.

Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity

- Dmitry Vostokov @ LiterateScientist.com -

After I finished A Brief History of Theology I wanted to read more about Religion in general, not from an evolutionary point of view like in Breaking the Spell but more from the cultural perspective. So I bought this book in a local bookshop and read from cover to cover. I like the book, in fact some ideas I encountered there are similar to my own philosophy of Memoidealism and Memorianity (Memory religion) and now I understand better even my own private religion. Recommended for scientists with reductionist background or having narrow views about religion like I had before reading this book.

Religion: The Basics

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I bought this book in Eason book shop in Dublin city center a month ago when I had a large break while waiting for my ticket number in the Visa office. I finished Homework for Grown-ups in that queue and needed to buy something to read next. Now I finished this book and I can say that I like all chapters, especially about politics, ethics, mind and art because these areas of philosophy were missing in my education. Today I was again in Eason book shop in Dublin city center when I had a large break while waiting for my ticket number in the Visa office. And guess what? I bought Religion: The Basics book…

Philosophy: The Basics

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I’m in love with QFT. I noticed this planned monumental 6-volume work some time ago but I bought this book from Amazon UK (I give the link to Amazon US here) after reading Quantum Field Theory Demystified and looking for more thorough ab initio treatment of QFT. Upon its arrival I immersed myself into it and in my opinion the first volume is like The Road to Reality but more mathematically oriented with proofs, numerous examples, historical notes, generous citations and references.

Quantum Field Theory I: Basics in Mathematics and Physics: A Bridge between Mathematicians and Physicists (v. 1)

- Dmitry Vostokov @ LiterateScientist.com -

It is interesting to compare core school subjects in 70-80s USSR with those in UK and Ireland. I certainly missed any religious education and many art-isms. Physical education (games) was also different except football and climbing a rope. So I bought this book in a local bookshop a few months ago to align my basic school education and finished reading yesterday while waiting in a queue in Irish visa office near Dublin O’Connell Bridge:

Homework for Grown-ups: Everything You Learnt at School…and Promptly Forgot

It was also useful for me to learn some English words from basic biology, classics and geography.

- Dmitry Vostokov @ LiterateScientist.com -

I bought this book in a local bookshop yesterday and just started reading it, considering it as a structured idea-centered overview compliment to a history-centered idea development book I’m finishing soon: Ideas and Modern Mind (Modern Mind is still on my reading list):

Ideas That Matter: A Personal Guide for the 21st Century

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This is a book that I noticed in a bookshop 6 years ago. I was curious by its title and front cover because at school I was interested in foundations of mathematics and abstract algebra ideas. I bought this book and from it I first heard of and learnt about category theory.

Conceptual Mathematics: A First Introduction to Categories

Very accessible and highly recommended as the first introduction but it requires probably the second reading if you are not used to mathematical abstractions. Fortunately there is the second edition coming after almost 15 years that seems have extra 50 pages added and I’m looking forward to reading it too.

Conceptual Mathematics: A First Introduction to Categories (Second Edition)

- Dmitry Vostokov @ LiterateScientist.com -

This book I bought a few years ago but only started reading 4 months ago and just finished:

Understanding the Infinite

I must say that it was not a light read and it requires certain mathematical maturity beyond undergraduate courses. The first part deals with Cantor and Zermelo set theories and axioms. It is very dry sometimes and chapters are long which was not good for me because I was only reading 10 - 12 pages per week while commuting. In many places the author assumes that a reader already knows a lot about logic and set theory, for example, at the end, he devotes a page or two about Putman modal logic and uses freely its quantifiers without explaining them. Some glossary at the end would have greatly benefited this book. What I found clarifying is the fact that there are two foundations of set theory: the notions of logical and combinatorial collections. For the latter the Axiom of Choice is self-evident and is no longer controversial. The second part starting from chapter VI is more philosophical and concerns with epistemology and ontology of the infinite. At least at the beginning it clarifies the difference between potential and actual infinity. In the middle we see the use of schemas to avoid quantifiers. At the end of the book the author discusses the theory of indefinite large and small, its extrapolations to infinite and provides examples from mathematical analysis. The main theme of the book, as I understand it, is that our intuition about infinity arises from intuitive understanding of indefinitely large sets, their hierarchies and extrapolations.

- Dmitry Vostokov @ LiterateScientist.com -