Personal Recommendation Library

Jul 21 2022 · LastMod: Jul 21 2022

I am currently working on elliptic cohomology (Cobordism representation of quantum field theory, geometric quantization of Chern-Simons theory, CS-WZW correspondence) and twisted K-theory (T-duality and higher background gauge fields), flavored with Connes-style noncommutative geometry, Poisson geometry, quantum group and higher category in general. It turns out that these fields intersect with physics, logic and theoretical computer science heavily, and in fact provides profound insight for the foundations of mathematics and philosophy. Hence the interest in linear (“quantum”, quote and unquote since “quantum logic” name space is occupied already) logic and the foundation of mathematics (category-topos theoretic approach, i.e. synthetic) and its intersection with philosophy of cognition, and in turn with “phenomenological” metaphysics, which is further related to action theory, ethics (Wittgensteinian and Scotist), “theological” anthropology (in the sense of Teilhard de Chardin), jurisprudence and theology (in the sense of Schmitt, Kantorowicz and Heer), and finally theology-mythology (in the sense of Traditionalists and Mircea Eliade). With the motivation comming from these connections and insights thus germinating, I hold reconciling St. Augustine and Origen, Scotist voluntarism and intellectualism, the individual and the collective, theology and occultism, as the final telos, so all the recommendations with spirits of theorizing will be made from this perspective. Another perspective is that of music, history of music theory (which in fact should be regarded as some sort of full intellectual history, since it is a condensation of all the human yearning for form, harmony and order), art history and cultural history in general. These recommendations will present the splendor of civilizations, the depth of human psyche, and the unfathomable sublimity and magnificence of human religions, which will effectively provide insights for the above mentioned inquiry.


Ancient Religion, Gnosticism, Iconography

Hermeticism, Perennial Philosophy, etc

For history and heresies see the intellectual & cultural history category.

General Theology: Christian, Islamic, Judaic, etc.

Historical and Political “theology” are not included here.

Of course you should have read


Scholarly works

Analytic (also see philosophy. Note that some philosophical works on mathematics and logic are actually theology)


History of Religion, Mythology (Theory), Comparative Religion, etc

The field overlaps heavily with psychology, anthropology and sociology. Also sometimes art history and psychoanalysis can be seen as a branch.

Art, Music, Architecture

Aesthetics, Criticism


Music History, Improvisation, Thoughts, Theory

Art History, Iconography, Theory



I focus on Plato, Duns Scotus, Franz Brentano, Soren Kierkegaard, Charles Sanders Peirce, Gottlob Frege and Michael Dummett. No history of philosophy. Original works, modern commentaries and expositions are all included.


Philosophy of Mathematics and Logic

Jean Yves-Girard, Frege, Dummett, Brouwer, Martin-Lof, Brentano, Bolzano, Lawvere, Husserl, Gerald Gentzen, etc.

I focus on topos-theoretic notion of logical truth. This is a brand new subject. See Category and Topos for the time being, and also


Philosophy of Science

Scientific Methods and Representations

Philosophy of Science


Psychoanalysis, Psychology, Cognitive Science

Cognitive science and modern metaphysics overlap in that both of them studies how the categorization of percepted object is realized. Cognitive science is a derived form of philosophical phenomenology.

Of course no Freud.

Jungian. Peter Kingsley’s Catafalque would be helpful in understanding Jung’s works.

More cognitive leaning.

Equipped with the knowledge gained reading Jungian and cognitive science, in cognitive archaeology one explores the deep history of human past.


Works of Tacitus, Thucydides, etc. and ordinary textbooks are not included.


Intellectual & Cultural History

General, Technical, etc.

There are surely intersections with theology, philosophy, etc.

Romanticism, Traditionalism, Heresies, Hermeticism

Works on Joachim of Fiore is not included here.

Historical Philosophy and Theology

Anthropology, Geography, Sociology


Of course no Hayek, Arendt, and junk(excuse me) like that.

Jurisprudence, Sovereignty, Natural Law

History of Political Thoughts, Political Philosophy & Theology, etc

Biography, Journals



Classics of Classics, though Homer, Dante, Goethe, Tolstoy, even Doestoevsky and so on are not included.

Theory, Criticism and History

Computer Science, Chemistry, Other Natural Sciences, Linguistics, etc.


Of course no standard textbooks and (ordinary) GTMs.

“Classical” Mathematics

Category and Topos

Theoretical Computer Science



Of course no Polchinski, Weinberg, etc.