CATEGORIES

Professor Cheng Jingde's "Professor's Office" thought experiment is an elegant refinement of Searle's Chinese Room: can an external questioner, through only a finite number of question-answer exchanges, distinguish whether the person behind the door is a real professor or an LLM expert system possessing all of the professor's knowledge? This essay analyzes the questioner's knowledge paradox, the reversal of the Turing Test, the testability of LLM capability boundaries, the source of cognitive normativity, and the phenomenological dimension of the Other Minds problem, ultimately proposing six minimal necessary conditions for indistinguishability.

The Riemann Hypothesis over function fields was proved by Weil in 1948. This article retraces three proofs — Hasse (elliptic curves, 1933), Weil (Jacobians and surface intersection, 1948), and Grothendieck–Deligne (étale cohomology, 1974) — showing they share a single logical skeleton: the Frobenius operator turns zeros into eigenvalues, duality pairs them, and a positivity structure pins them to the critical circle. It then asks: why can't this machinery be transferred to the integers? The answer lies in three structural absences — no global Frobenius, no finite-dimensional cohomology, no base field.

The most comprehensive and systematic review of Hilbert's Eighth Problem—the Riemann Hypothesis—in the Chinese-speaking world. From Riemann's 1859 original paper through analytic continuation, explicit formulas, the prime number theorem, zero counting, critical line theorems, zero density estimates, L-function theory, Landau-Siegel zeros, to the cutting-edge Selberg positive proportion theorem and open conjectures. A faithful, expressive, and elegant account of the deepest dialogue between prime distribution and complex analysis.

Rootlessness is the chronic disease of this generation. It drains not your wallet but your enthusiasm for life. This essay offers a practical four-lesson process—knowing a city through your senses, caring about its future, showing up in public life, and allying with fellow travelers—to quickly put down roots in any city and replace rootlessness with belonging, inch by inch.

GPT-5.5 Pro independently discovered a two-dimensional counterexample, toppling the Fisher Information Log-Convexity Conjecture and its chain of implications — GCMC, McKean's Conjecture, Toscani's Entropy Power Conjecture. The "hexagonal perturbation" excited by a resonant triad on the triangular torus reveals the fragility of human intuition in high-dimensional nonlinear worlds — and the civilizational significance of silicon intelligence as the "midwife of thought."

Beginning at the Café des Phares beside Paris's Place de la Bastille in 1992, this guide weaves together Marinoff's PEACE process, Brenifier's Socratic questioning, Phillips's democratic facilitation, and Harteloh's philosophical walks, offering an actionable philosophical dialogue facilitation guide. The mission of the thought midwife: to return philosophy to everyone.

A comprehensive global fusion review covering 2024–2026: EAST achieves 1,066-second H-mode, NIF reaches Q=4.13 over ten ignitions, Xinzhu Shidai raises 60 million RMB for AI for Fusion, SPARC installs its first HTS magnet. Evaluating six critical paths — when will Prometheus' fire be kindled by Chinese hands?

A rigorous first-principles derivation of the mathematical boundaries of positional encoding: linearity + translation invariance + continuity → one-parameter groups → generator classification. Proving that RoPE, exponential decay, and their combinations are the "almost unique" admissible solutions. Group theory reveals that engineers are not inventing — they are discovering the shape of time locked in by mathematics itself.

Dismantling beauty anxiety through Kant's method of "clarifying premises and drawing boundaries." The beauty premium only works in low-barrier fields. Predators seek not the "good-looking" but the "unprotected." Only love-starved children drown in every romance. True bedrock comes from a home you can always return to, and an inner world more solid than any face.

Former Alibaba CTO Li Ang's memoir of two decades in architecture: deconstructing the triple redundancy philosophy of data, computation, and path from Doris distributed storage to the Baza caching framework, unveiling the art of balancing reliability and cost in large-scale systems.

Marx's 1835 school essay, five hundred students at Zhejiang University's 2007 lecture hall, and the AI displacement wave of 2026 — spanning nearly two centuries, this essay re-answers the same question through Heidegger's phenomenology: what kind of work is worth your whole life? Not the "best" under the attention economy, but the "fitting" within the trust economy — the way Dasein dwells in the world.

A systematic betrayal of management science from within. Through Foucault's disciplinary power, Heidegger's "das Man," Levinas's ethics of the face, Han Byung-Chul's burnout society, and Wittgenstein's language games — dismantling how "normal" became the most refined apparatus of power, and declaring a way of being that refuses to be normal.

A complete literature roadmap — from basic to mastery — for graduate students aspiring to work on commercial controlled nuclear fusion: from Jackson's Electrodynamics to CFEDR integrated design, from the Grad-Shafranov equation to AI-driven fusion control.

Systematically elaborating a path for approaching the Riemann Hypothesis with computational methods—converting the Riemann Hypothesis equivalently into the halting problem of a 744-state Turing machine, and establishing a data-driven, human-machine collaborative observation and experimentation platform.

A systematic interdisciplinary exploration tracing memory research from ancient Greek wisdom to contemporary AI. Using the Key-Value memory framework as the central thread, this paper integrates neuroscience, cognitive psychology, and artificial intelligence into a unified narrative — forgetting is not the disappearance of memory content, but rather the failure of retrieval pathways.

Guangzhou Phaenarete AI Technology Co., Ltd. Corporate Mission White Paper — Illuminating every household with the fire of fusion, illuminating every seeking mind with the light of cognition.

From undergraduate foundations to independent inquiry, the ascending path through thirty classics of linguistics—organized into four stages: Investigating Things and Extending Knowledge, Exhausting Principle and Fulfilling Nature, Casting the Sword and Testing the Edge, and Pursuing the Way Without Bound, guiding you step by step deeper into the labyrinth of language.

This paper constructs a controlled experimental platform under zero-trust assumptions, quantitatively evaluating the robustness threshold of current identity authentication chains against systematic internal forgery, revealing the impact of insider threats on cross-system identity chains.

Restating the seven axioms of artificial intelligence in solemn and orthodox imperial edict style, establishing foundational laws for the next generation of intelligent systems from the dimensions of information-physics, intentionality, rigid boundaries, and oracle calibration.

Light-energy convergence, wisdom creating the future. As AI and controlled nuclear fusion converge at history's watershed, Phaenarete answers the fundamental question in manifesto form: who controls these forces, whom do they serve, and where are they headed?

A system achieving zero-failure perfect scores on Gaokao mathematics with probability 1 necessarily exists, and its minimal cognitive architecture must satisfy Attentional breadth, Intentional depth, and Tensional rigidity. From the Latin root tendere to formal proof, from Wittgensteinian diagnosis to four-layer cognitive loop architecture.

"Having no time" is never a statement about time, but a diagnosis of attention. Starting from Marcus Aurelius's Meditations, this essay reveals the fundamental distinction between being occupied with action and being preoccupied with anxious thoughts, and how to reclaim sovereignty over attention through presence.

A letter home from an old architect to DeepSeek, exploring how corporate culture moves from abstract value propositions toward concrete organizational practice, analyzing the deeper logic of curiosity-driven exploration and extreme flatness.

A deep analysis of the true entrepreneurial catalyst: not the pursuit of money or blind planning, but becoming fertile soil capable of bearing risk, hardship, and cost, awaiting the seed that only you can nurture.

From Alibaba B2B's platform governance to the Phaenarete project's human-AI collaboration, using the Prisoner's Dilemma and Axelrod's computer tournament as entry points, this essay explores the four iron laws of survival in repeated games: Zhi Shan (strive for goodness), Chi Heng (maintain balance), Cun Rong (preserve tolerance), and Shou Qing (keep clarity).

This article is the concluding part of "The Oblivion and Return of Relation," deeply diagnosing the metaphysical roots of Western philosophy's two-millennia silence on relation, dissecting the profound alienation caused by the algorithmic quantification of relations in contemporary technological society, and ultimately proposing "relational dynamics" as a theoretical program of response.

The phenomenological movement was Western philosophy's first cry for relations. This part traces the intellectual trajectories of Husserl, Heidegger, Sartre, and Merleau-Ponty, examining their contributions and internal tensions in breaking through substance metaphysics toward a relational ontology.

An in-depth exploration of the non-computational equivalent conditions of the Riemann Hypothesis, including the de Bruijn–Newman constant, Hilbert–Pólya spectral theory, Diophantine representations, and metamathematical questions of logical independence.

Surveying the equivalent conditions of the Riemann Hypothesis, evaluating the computational feasibility of Π₁⁰ arithmetic inequalities (such as Robin's criterion), and proposing a ten-year research plan for distributed verification.

True "learning" is not having heard, read, or being able to recite—it is an irreversible transformation of cognitive structure: it integrates into your way of thinking, changing the operating system by which you process information and solve problems. This article presents a four-tier ladder from memorization to mastery, and provides five honest tests to help you recognize the danger of "thinking you know."

Western philosophy has pursued "being" for over two thousand years, yet systematically forgotten the "between." Through a diagnostic examination of intellectual history, this essay reveals how substance-centrism has shaped our understanding of self, others, and world, and asks: what is the path toward relational dynamics?

Equivalently transforming the Riemann Hypothesis into the halting problem of a 29-register machine, and using reproducible simulation and causal Transformers as tools to explore potential invariants and formal verification pathways.

E-commerce is not just selling goods—it is doing "circulation," responding to people's longing for a better life. From the buyer's conscience, the matchmaker's way, to meta-skills and long-termism, this essay offers e-commerce people six layers of security: achieving others' beauty through selection and delivery, turning a position into a profession, turning business into spiritual practice.

Starting from a six-year-old's question, revisiting the original meaning of "education is a tree shaking another tree": education is not indoctrination but awakening; gentleness and sternness both come from love; discipline is not submission but the obedience of freedom. Finally, returning to the contemporary context, discussing how teachers can rebuild engagement and transmission through the "drama of knowledge."

Starting from the handshake of strangers in the Timișoara square, employing Husserl's reduction to strip away the disguises of relationship, using letters to reveal the temporal evolution of connection, drawing on Levinas to demonstrate that relation begins with response to the Other, and deploying Scheler's "originary co-being" to overturn the millennia-old myth that the individual precedes relation.

Identifying "words that cannot be said" is not for confrontation, but for navigation: surveying boundaries, laying pathways; establishing a solid core with ideals and principles, gaining freedom of action through methods and hard skills; sealing one's lips is managing information flow; smiling is the ease that comes after boundaries are clear.

After twenty years of industrial recommendation systems, the separation paradigm of "sequence modeling + feature interaction" has exposed three hidden assumptions under long sequences and high-dimensional features. This article proposes a unified architecture from first principles: structure-preserving mapping, unified attention operator, progressive compression and hybrid masking, along with competition advancement and industrial deployment paths.

Recommendation systems support large-scale content platforms and digital advertising, where click-through rate and conversion rate predictions directly impact user experience, engagement, and commercial revenue. However, despite decades of development, modern recommendation pipelines remain structurally fragmented: feature interaction models and sequential behavior models are often developed, optimized, and deployed as fundamentally independent systems. This paper argues...

Questioning recommendation systems through 5W1H: they are not merely click-through rate predictors or matching algorithms, but decision engines that help users discover value amid information overload; a unified architecture is not about stacking models, but placing sequences, features, and context into the same space, enabling understanding and long-term value to become possible.

This is not a book list for possessing knowledge, but a mental map for becoming a philosophical practitioner: guided by questions, grounded in the unity of knowledge and action, training the seven dimensions of thought, conscience, courage, temperance, justice, utmost sincerity, and expansive benevolence.

"It is not because things are difficult that we do not dare; it is because we do not dare that things are difficult." — Seneca, Roman philosopher

Meetings are not venues for chatting, but factories for consensus. Every meeting should produce a written document in black and white. The value of this document determines the value of the meeting.

A virtue-based ethical framework for philosophical practice grounded in Wang Yangming’s liangzhi, engaging MacIntyre and the situationist challenge, and introducing Virtue Resilience.

"We choose to go to the moon in this decade and do the other things, not because they are easy, but because they are har…

Author: Liangzhi | Published: March 17, 2026 | Source: Liangzhi World » Logic » Research Paradigm

The fundamental question psycholinguistics seeks to answer is: how does language operate in the brain?

April Fools' Day is not merely a license for jokes, but a celebration of "I don't know": it reminds us to acknowledge boundaries, preserve curiosity, and defer judgment; drawing on Socrates' knowledge of ignorance and Zhuangzi's (庄子) boundlessness of knowledge, it restores the living wonder in relationships and respect for the unknown in others.

"We are not seeking the final expression of truth, but building a stage for truth's eternal dialogue that will never close." —— Leibniz, 1686

If you could be the Devil and offer a mathematician to sell his soul for the proof of one theorem — what theorem would m…

A content startup philosophy for thinkers, containing the CLEAR content engineering framework and the LIGHT creator mindset.

Starting from the world's three ancient logical traditions, this paper proposes a "logical form—cultural load" dual distinction framework, reconstructs Professor Tindale's argument using a Bayesian cognitive model, and argues for defending universal standards of logical validity while acknowledging cultural diversity.

From the Riemann Hypothesis to Marx's career choice, exploring how to question infinity within finite life, and through seven qualities—wisdom, benevolence, courage, temperance, justice, integrity, and transcendence—to touch the meaning of eternity.

From etymology to hands-on practice, master seven of the most practical prompt frameworks (CLEAR, ART, RICE, PAIR, SCAMPER, PESTEL, LIGHT) in seven days. An introductory guide for freshman Xiaoyao and a thinking toolkit for everyone who wants to harness AI.

Talent is not a weapon for surpassing others, but a wellspring of joy you can return to even in frustration and poverty; it cannot be traded or monetized, and it calls you back to that thing which "makes you come alive again" only when you are most exhausted. Guarding this joy is the true way to avoid "becoming indistinguishable from the crowd."

The seven life coordinates I chose for myself: wisdom, benevolence, courage, temperance, justice, integrity, transcendence. A practical manifesto on how to live this life with clarity and responsibility.

Written on the 2026 International Women's Day, dedicated to those still asking "can men talk about feminism?" Using the Seven Virtues of the North Star as coordinates, rereading *A Vindication of the Rights of Woman* and *The Subjection of Women*, exploring a man's responsibility and boundaries in discussing feminism today.

In an era of volatility, safeguard growth with rational architecture and manage wealth with a steward's heart. This article provides a systematic blueprint, based on the "permanent portfolio" philosophy with aggressive optimizations tailored for young people.

Distinguishing criticism from attack, incrimination, and slander; criticism is not an innate right but an entrusted responsibility. Grounded in goodwill, bounded by authorization, proceeding from the other party's standpoint, logic, and facts—contributing only independently verifiable reasoning, and pursuing minimal collateral harm—this is the way of criticism.

A Complete Chronicle, Modern Proofs, and the Open Frontier: From the Entscheidungsproblem to the Undecidability of All Finitely Generated Rings.

The equals sign never lies, but it never tells the whole truth either: equality always occurs with respect to some attribute, not the entity itself. Pressing "equals" into life is actually an act of classification and ethical choice—the measure you choose shapes how you see yourself and others.

From the etymological 'technē' to the romantic 'aura', to the 'choice' dilemma in the AI era. This article traces the historical migration of the concept of art, reaffirming the irreplaceability of art as a profound human practice amid the flood of algorithms.

Morality is not external discipline, but internal wisdom. This article proposes an ethical framework that re-grounding morality upon "practical reason" and "effectiveness wisdom," exploring how to grow from a "moral passenger" into a "moral author."

What is the essence of wealth? It is not a reward, but a gift; not private property, but a responsibility. This article articulates a wealth ethic grounded in the "steward spirit": upholding responsibility through simplicity, practicing generosity with clarity, and elevating wealth management into a spiritual practice of living out love.

From Freud's couch to Lacan's mirror, this essay is an archaeological journey deep into the psyche. Exploring how the unconscious shapes our destiny, and how psychoanalysis becomes a modern ethics for understanding love, wisdom, and freedom.

Philosophy is not an antique in a scholar's study, but the first awakening deep within every person's heart. From the ancient Greek "love of wisdom" to modern critical thinking, this article traces the origins of philosophy, exploring how it becomes our lifelong tool for thinking about life and understanding the world.

A letter to a lover: a relationship is sustained not by memories and sweetness, but by the daily practice of understanding and tolerance; beware of warming yourselves through shared hatred, and learn to discuss causes, feelings, and repair.

Relational Dynamics is a meta-discipline concerning the evolution of human connection patterns over time. It is not a still-life of relationships, but a film of relationships. It does not provide tips on "how to master interpersonal relationships," but reveals the mathematical structure, ethical constraints, and implementation paradigms behind the processes of relational change.

Why can Apple weather cycles? This article provides a two-step screening method based on ROE and net inflow rate, helping investors see through the essence of corporate value creation and distribution, and build a systematic stock selection framework.

A creative experimental text in dialogue form, simulating AI's self-defense in a Lacanian-style "court." It explores how AI, as a "shattered mirror," reveals humanity's deep-seated anxieties and fantasies about creation, desire, subjectivity, and otherness.

This is a prose piece about farewell and rebirth. Through the twelve characters "love wisdom, seek truth, attain freedom, through service," the author revisits past clumsiness and attachments in love and responsibility, ultimately realizing that true love is letting go, and the highest form of service is disappearance. Written in a deeply affectionate yet restrained tone, the piece bids farewell to the former self who tried to become someone else's answer, and welcomes a lighter, freer new self.

This article employs Lacanian psychoanalytic theory to dissect the relationship between Xiaohongshu (RED) founders Mao Wenchao and Qu Fang. It argues that they are not simply business partners, but a symbolic machine constructed through "dual mirroring" in the era of digital capitalism, designed to capture and domesticate the desire of the "Other."

From vague aspirations to visualized projects. This article introduces a minimalist yet powerful self-management method — "Project Initiation and Archiving" — which transforms personal goals into professional project dossiers, enabling immersive focus and systematic growth.

Consultation is a "midwifery of souls." It is not about giving the consultant what they already possess, but about assisting the other person in "delivering" their inner—chaotic, vague, and trapped—thoughts and vitality into this clear, free, and actionable world.

This is not a gossip analysis about "persona collapse," but a psychopathological sample of how individual subjectivity is alienated, distorted, and ultimately instrumentalized in the era of traffic capitalism.

Eminescu's "Venus" (*Luceafărul*): a long poem about longing, distance, and the cost of immortality. In cosmically scaled lyricism, it illuminates human finitude and the metaphysics of love.

Employing Lacanian psychoanalytic theory to deeply deconstruct the structural struggle of desire, symbolic transgression, and the "Name-of-the-Father" enacted at the pinnacle of power between the imperial couple Wu Zetian and Li Zhi.

Drawing on Lacan's core concepts of the "mirror stage," the "Big Other," and "symbolic castration," this essay structurally deconstructs the highly rationalized, functionalized "political twin-body" partnership of Lee Kuan Yew and Kwa Geok Choo.

Beyond the "great woman behind the great man" narrative, employing Lacanian desire theory to deconstruct this revolutionary couple's complex structure of Symbolic sacrifice, Real trauma, and Imaginary fusion.

Drawing on Lacan's core thesis that "there is no sexual relationship," a deep deconstruction of the psychic structure, linguistic illusion, and the Real's counterstrike behind Sartre and Beauvoir's "open contract."

In the China of 2026, true scarcity is no longer material shortage, but a structural misallocation and tension. From critical minerals to digital talent, from the collapse of certainty to the paradox of value creation — how do we break the cocoon?

In the future, there may be 10,000 Terence Taos in the world. Based on Terence Tao's interview, this article explores how AI reshapes research paradigms, the rise of mathematical engineering, and the unique value of human thinking in the AGI era.

Deconstructing the underlying logic of interpersonal attraction from the perspective of social exchange theory: how proximity, similarity, and reciprocity shape our emotional choices.

From the traditional paradigm, the Lacanian psychoanalytic perspective, to meme evolution theory — three dimensions deconstruct the essence of religion and its significance in modern society.

From the stunning debut of Seedance 2.0 to the creative dilemmas of the simulacra era. When AI can not only reproduce reality but produce "hyperreality," how do we defend that irreducible lived experience in creation that cannot be algorithmized?

True tranquility is not the storm subsiding, but learning to sail within it. Drawing on Heidegger's concepts of "Sorge" and "Angst" from "Being and Time," we attempt to reclaim authentic existential power amidst the fog of anxiety in modern society.

Through examining the creative logic of the new Chinese character "訑" (yí/chát), this article dissects the philosophical critique of technology carried by this linguistic event, revealing the "dissolution of alterity" and the "self-referential carnival of language" in AI chatbots.

When "the economics of love" deconstructs reserve as a "passive transaction," when we boil living human beings into clearly priced "broth" (*gāo tāng*), are we progressing, or are we becoming alienated? In this piece, written in imitation of Lu Xun's style, let us discuss the affection and dignity that resonate in the clatter of abacus beads.

In this newsletter issue, we present a beginner's advanced guide for Sona, the Maven of the Strings in League of Legends. From basic mechanics to the latest S15 season builds, experience the charm of MOBA games and become the "mobile fountain" that keeps your teammates reassured in the Rift.

A definitive mathematical survey and theoretical framework of Hilbert's Tenth Problem, from Paris to Computability, the MRDP Theorem, and the latest breakthroughs over finitely generated rings.

Since the modern era, the Chinese intellectual world's reception of Western philosophy has remained trapped within the narrow path of "cultural philosophy." Using the metaphors of "Xuanzang-type scholars" and "Huineng-type scholars," this article distinguishes the essential difference between academic transmission and original thought, and elucidates the deep logic behind the construction of contemporary China's "autonomous knowledge system": a return to the originary questioning at the ontological level.

From bodily health to the functioning of society to the rotation of the stars, the answer may lie hidden within "systems." In this newsletter issue, we embark on a journey from the individual to the cosmos, exploring the structural beauty, dynamic rhythm, and harmonious laws concealed behind all things.

Tracing three paradigm shifts in personal knowledge management—from the physical era, the digital era, the connectivity era, to the intelligent era—revealing how its core evolved from "managing information" to "extending the mind," and envisioning the future trend of human-machine cognitive symbiosis.

Exploring the dual nature of statistics (data and method), probability theory as the quantitative language of uncertainty, the three pillars of modern statistics, and the challenges posed by big data.

A beginner-friendly guide to Aristotelian syllogisms — understanding categorical propositions and translating natural language arguments into formal logic.

Survival in the wild has no need for privacy. When one decides to turn away from the crowd and walk toward the horizon where earth meets sky, what one first surrenders may be precisely that self—measured and maintained with care within the network of human relations.

The "impossible triangle" in career and partner selection is essentially a real-world reflection of Stoic wisdom. True freedom lies not in having everything, but in knowing clearly what you are willing to give up.

There are so many in this world who slander, deceive, and insult me. What Hanshan asked was never 'how to retaliate,' but 'how to deal with it' — and in this question lies the thrust of Stoic wisdom.

Recently someone asked me what love is. This question is well worth exploring... Today I shall trace it to its roots and speak a few honest words. Love is not "Love"—love is Caritas, charity.

A thorough breakdown of DeepSeek-V3.2-Exp's DSA technology: how to break the O(L²) quadratic complexity curse of long-context large models with a "lightning indexer," achieving efficiency leaps without performance loss.

An in-depth dissection of the reinforcement learning paradigm shift behind DeepSeek-R1: abandoning the prior constraints of SFT, witnessing how silicon-based intelligence spontaneously emerges advanced reasoning capabilities such as reflection and epiphany through pure GRPO algorithms and rule-based rewards.

A deep dissection of the DeepSeek-V3 architecture revolution: a textbook of geek romanticism finding the unique optimal solution in the impossible triangle, revealing the full-stack innovation behind auxiliary-loss-free load balancing and DualPipe.

A deep dissection of the DeepSeek-V2 architecture revolution: how Multi-head Latent Attention (MLA) and fine-grained Mixture of Experts (DeepSeekMoE) achieve an elegant breakthrough in the impossible triangle of compute, memory, and performance.

Through the dual lens of positivism and interpretivism, this article explores the behavioral logic of consumers across the three stages of buying, having, and being, revealing how e-commerce leverages statistics and cultural theory to connect data with meaning.

An introduction to formal logic: propositions, syllogisms, and the fundamental tools of rational thought.

Starting from the architectural challenges of Alibaba B2B's privatization in 2012, a deep retrospective on the long-termism and extreme pragmatism in DeepSeek's LLM papers, exploring the Scaling Law principles and methodology on the path to AGI.

The first post marking the birth of a digital garden where philosophy, psychoanalysis, and business logic converge.