核心逻辑: 用数学结构(集合论、拓扑、域、概率)去解构文学与哲学。

“The universe is written in the language of mathematics.” — Galileo Galilei


📚 Reading List (10 Books)

#BookAuthorCore Idea
1Gödel, Escher, Bach (GEB)Douglas HofstadterSelf-reference, recursion, and the nature of intelligence
2The Structure of Scientific RevolutionsThomas KuhnParadigm shifts in science
3The Name of the RoseUmberto EcoSemiotics meets medieval mystery
4Labyrinths / The Garden of Forking PathsJorge Luis BorgesInfinity, randomness, and narrative structure
5The Infinite GameSimon SinekGame theory applied to life and organizations
6ErtaItalo CalvinoLightness, quickness, exactitude — literature as algorithm
7If on a Winter’s Night a TravelerItalo CalvinoMetafiction and structural literary experiments
8The World as Will and RepresentationArthur SchopenhauerPhilosophy of consciousness and perception
9The Great ExperimentYuval Noah HarariHumanity’s grand experiments
10Western PhilosophyBertrand RussellA logician’s perspective on philosophy

✍️ Essay Topics (15 Blog Posts)

#TitleCore Question
1Recursive LiteratureFrom GEB’s strange loops to the recursive structure of modern fiction
2The Topology of PlotCan we classify narrative structures using topological “genus” invariants?
3Paradigm Shift as OptimizationReframing Kuhn’s revolutions as gradient descent escaping local minima
4Entropy of LanguageMeasuring the information content of Shakespeare’s works via NLP
5Bayesian HistoryWhy do historians unconsciously update beliefs like Bayesian agents?
6The Game Theory of LifeGame theory and real-world strategic dilemmas in The Name of the Rose
7High-Dimensional PhilosophyCan philosophy’s opposing camps be separated in PCA-reduced space?
8Logic vs. EmotionCan Freud’s psyche be formalized as a non-convex optimization problem?
9Chaos in HistorySensitivity to initial conditions and the butterfly effect in historical events
10Vector Space of MeaningWhat if we mapped words to vectors — the “semantic geometry” of language
11Overfitting PhilosophyWhy do philosophical systems “overfit” — losing predictive power over time?
12Monte Carlo EthicsCan we simulate moral dilemmas with random sampling methods?
13Fractal AestheticsWhy do self-similar patterns appear in both art and nature?
14The Halting Problem of ScienceWill science ever reach a “final theory” — or is it undecidable?
15Quantifying “Beauty”Can a computer learn to recognize beauty? A computational aesthetics inquiry

This is Series 1 of 5. Each essay will be published as a standalone blog post as it is completed.

→ Series II: Global History & Political Economy