Western Philosophy Methodology · The Value Conservation ArgumentY = E × S × T · 7-Layer Depth Model
Econ-Sentiment Twin Think Tank · Dual-Model Argument Series

The history of Western philosophy is not a roll call of great men; it is a 2,500-year history of how meaning and value were conserved

The methodology of Western philosophy is, at its core, the story of a 7-Layer Deep-Thinking Operating System: from the ancient Greeks asking "what the world is made of" (the Material Layer), to the modern turn of "how can I know" (the Information and Awareness Layers), down to the contemporary question "how should I live" (the Subconscious and Mind Layers). Re-read through the Law of Value Conservation, every great philosopher's core thesis can be rendered as an E×S×T multiplication or division operation — and where value comes from and how meaning is conserved is precisely the single question this 2,500-year history of method has been quietly answering all along.

Framework: the Law of Value Conservation (macro Y=E×S×T / micro y=f(m)×f(h)×f(t)) + the 7-Layer Depth Model (Information→Material→Behavioral→Bodily→Awareness→Subconscious→Mind) | Bibliography: 20 classics of Western philosophy, each verified online | By: the Econ-Sentiment Twin Think Tank
Y = E × S × T
The multiplication law: when E, S and T are all greater than 1 at once, total value compounds; when any variable hits zero or turns negative, the total does the same. The division formula: E = Y ÷ (S × T) — sacrificing social value and time value to buy short-term economic value.

Set this law back into the history of philosophy and a striking correspondence appears: the philosophers' "legislation of value" is deeply isomorphic with the multiplication-and-division arithmetic of value conservation. Plato legislates for total value with the "just city" (an S×T multiplication model); Aristotle calibrates the balance of multiplication and division with the "mean"; Kant completes a multiplication-legislation for the Mind Layer by having "reason give nature its laws"; Rousseau enlarges the S-dimension of freedom with the "social contract"; Schopenhauer sounds a division warning that "the stronger the desire, the greater the suffering"; Nietzsche launches a division revolution by "revaluing all values"; and Sartre and Camus carry out a multiplication-rebuilding that "creates meaning out of the void." The history of philosophy is value conservation run again and again through the human mind as multiplication and division.

Why read the history of philosophy through the "twin models"?

Model One · The Law of Value Conservation (the yardstick)

The macro formula Y=E×S×T and the micro formula y=f(m)×f(h)×f(t) give philosophical theses a computable yardstick. They let us answer: which variable did this philosopher enlarge (multiplication), and which did he shrink (division)? Argument about philosophy thereby shifts from "whose view is right" to "how value is conserved."

Model Two · The 7-Layer Depth Model (the coordinate system)

The sequence Information→Material→Behavioral→Bodily→Awareness→Subconscious→Mind supplies the history of philosophy with a coordinate system of depth. The same question runs on different "algorithms" at different layers: epistemology works at the Information Layer, ontology takes root in the Material Layer, ethics legislates at the Behavioral Layer, and existentialism wrestles in the Subconscious and Mind Layers — so the history of philosophy becomes less a "chronological ledger" than a "map of deepening descent."

The methodological thesis: the history of Western philosophy is a 2,500-year history of method in which human beings ask "where does value come from, and how is meaning conserved"; its main line is a descent layer by layer, from ontology (Material) to epistemology (Information/Awareness) to ethics (Behavioral) to existentialism (Subconscious/Mind). The history of philosophy is itself a history of how meaning and value are conserved. — The thesis argued in this article (developed layer by layer over the 16 sections below)
The Law of Value Conservation

Just as the law of conservation of energy pervades the natural world, so too, from the holistic perspective of the economy, society, and the people, economic value, social value, and time value are neither created out of nothing nor vanish into nothing; they merely transform from one form into another or transfer from one subject to another, while the total amount of value remains unchanged.

Core Formula · Macro

Macro: Y = E × S × T = Economic Value × Social Value × Time Value = Aggregate Economic–Social Value (In this article: E = cognition and practice; S = ethics and community; T = history and progress)

Core Formula · Micro

Micro: y = f(m,h,t) = f(m) × f(h) × f(t) = f(m)Monetary Value × f(h)Happiness Experience × f(t)Time Value (In this article: m = cognition, practice and output; h = ethics, freedom and community; t = historical accumulation and progress)

Core Formula · Extended Reading

“The Value Cube · Three Readings of the Formula”—fold the two formulas above back into geometry: every variable is an edge, and the multiplication sign is the volume. Three readings (macro adds, micro multiplies / value never disappears, it only changes shape / 1 is the only watershed in multiplication), 12 isometric plates, and a verbatim script you can read aloud.

2The Seven-Layer Map of Philosophical Method: 7-Layer Depth × Periods of Philosophy

The history of philosophy feels "the deeper you read, the deeper it gets" because over 2,500 years it kept descending into ever deeper recesses of the human mind. Overlay the 7-Layer Depth Model on the standard periodization and you get a "map of the descent": early philosophy answers "what is the world" (shallow information and material), middle philosophy asks "how do I know, and what should I do" (behavior and awareness), and modern philosophy goes straight to "how do I face nothingness and death" (the subconscious and the mind).

1 Information Layer
Epistemology · The Input Layer
Locke's empiricism, Descartes' cogito, Kant's synthetic a priori judgments — these decide how we acquire and verify information. Multiplication: calibrate the input, and the output becomes trustworthy.
2 Material Layer
Ontology · The Foundation Layer
Aristotle's "being qua being," Kant's thing-in-itself — inquiries into the ground of the world. Multiplication: a hollow foundation empties everything above it; a solid one allows everything to be built.
3 Behavioral Layer
Virtue and Norms · The Action Layer
Aristotelian eudaimonia through virtue, Kantian practical reason, Rousseau's general will — turning value into executable rules of action. Multiplication: only when conduct is multiplied by principle does happiness compound.
4 Bodily Layer
Will and Desire · The Kinetic Layer
Schopenhauer's will to live, Nietzsche's will to power — value's primal energy comes from the body and its desires. Division warning: unrestrained desire multiplies suffering.
5 Awareness Layer
Doubt and Contemplation · The Calibration Layer
Descartes' methodical doubt, Kant's power of judgment (aesthetics), phenomenological intuition — training the "ability to see" and calibrating the accuracy of perception. Multiplication: the finer the awareness, the lower the noise in decision-making.
6 Subconscious Layer
Existence and Nothingness · The Layer of Final Cards
Heidegger's being-toward-death, Sartre's existence precedes essence, Camus' absurd — touching the bedrock of meaning and rebuilding within nothingness. Multiplication: choosing to create even after the cards are shown.
7 Mind Layer
Ideals and Order · The Layer of Meaning-Legislation
Plato's Republic, Rousseau's social contract, Nietzsche's Overman — legislating for total value from the highest vantage and answering "what order of life is worth living." Multiplication: the building of mental models is the largest multiplier of Y.

Main table: 7-layer depth × 20 works × periods of philosophy

The distribution of twenty Western philosophical classics across the 7-layer coordinate system (indicative grouping, inferred from the central theme of each work)
7-Layer DepthPeriodRepresentative WorksValue-Conservation Thesis
1 Information LayerClassical / ModernA History of Philosophy (9th ed.); The Big Questions; An Essay Concerning Human Understanding; The RepublicEmpirical input and rational verification (multiplication)
2 Material LayerClassical / ModernMetaphysics; Critique of Pure ReasonGround of being and the thing-in-itself (multiplication)
3 Behavioral LayerClassical / ModernNicomachean Ethics; Critique of Practical Reason; The Social ContractVirtuous action and moral legislation (multiplication)
4 Bodily LayerModern (19th century)The World as Will and Representation; The Birth of TragedyKinetic will and the warning of desire (division)
5 Awareness LayerModern / ContemporaryMeditations on First Philosophy; Critique of JudgmentDoubt and aesthetic calibration (multiplication)
6 Subconscious LayerContemporary (19th–20th centuries)Being and Time; Being and Nothingness; The Myth of SisyphusRebuilding meaning in the void (multiplication)
7 Mind LayerClassical / Modern / ContemporaryThe Republic; The Social Contract; Thus Spoke ZarathustraLegislating for total value (multiplication)
Fig. 1 · Depth-by-period distribution of the twenty works (bubble chart)
X-axis = period of philosophy (1 Classical antiquity, 2 Hellenistic/Medieval, 3 Modern, 4 Contemporary); Y-axis = 7-layer depth (1–7); bubble size = reading difficulty (stars, out of 5; indicative). Coordinates are indicative positions based on each work's central theme and its widely acknowledged reading difficulty.
Note on the data: the coordinates are indicative placements derived from each work's central theme and the general consensus on its difficulty; they are not statistical measurements.

3The Methodological Value of Three Introductions: the Systematic, the Question-Based, and the History-of-Ideas Approaches

When reading the history of Western philosophy, choosing the right "way in" often decides how steep the first mountain feels. These three introductions embody three entirely different methodological orientations, which happen to match three "multiplication strategies" in value conservation.

Stumpf / Fieser, A History of Philosophy (9th ed.)
Beijing United Publishing (Houlang), 2019 · trans. Deng Xiaomang and Kuang Hong · a university textbook

The systematic-textbook approach: organized chronologically, it runs from Greek philosophy to twentieth-century thought in five parts, with primary-source excerpts along the way. Methodologically it is "multiplication by systematic integration" — it folds scattered fragments of thought into one chronological frame, giving readers the full coordinate system first and letting them fill it in afterward. Best for readers who want the whole map, not isolated shards.

Conservation reading: Systematicity is a multiplication-integrator of S (completeness of information) × T (depth of time): fix the frame first, then fill it in.
Solomon, The Big Questions: A Short Introduction to Philosophy
trans. Zhang Butian · Guangxi Normal University Press / Tsinghua University Press (10th ed.), 2018

The question-based approach: instead of marching through names and dates, it organizes material around life's big questions — reality, the self, freedom, morality, beauty — and treats the reader as a beginner who knows nothing of philosophy. Methodologically it is "multiplication by participation" — it lets readers walk in with their own questions and generate answers through thinking itself. Difficulty: reader-friendly.

Conservation reading: Question-based learning means making the reader the subject doing the multiplying: questioning (E) × resonance (S) × sustained inquiry (T), all multiplied together.
Russell, A History of Western Philosophy
The Commercial Press · trans. He Zhaowu and Joseph Needham (vol. 1), Ma Yuande (vol. 2)

The history-of-ideas approach: a history of philosophy by a Nobel laureate in literature, it presents the record yet carries sharp personal judgments — "history with a point of view." Methodologically it is "multiplication that adds value through opinion" — it layers the author's understanding and criticism (the E-dimension) on top of objective historical material (the S-dimension), then lets the depth of time (the T-dimension) settle it into "a history of philosophy with an attitude." Difficulty: ★★★.

Conservation reading: History of ideas = facts × understanding × criticism; the three factors multiply and the text's value compounds; Division warning: Any view has a standpoint, and if that standpoint eclipses the historical record — argument replacing history — the information value is divided down to nothing; readers must recalibrate on their own.
Methods compared (reading history in stages): the textbook gives the "skeleton" (Information Layer); The Big Questions gives the "doorway" (Behavioral Layer: start from a question); Russell gives the "attitude" (Awareness Layer: read history with judgment). All three roads lead to the same destination — turning the history of philosophy into an operating system you can carry into the present.

4Ancient Greece: From Myth to Logos — Reason as the Enlightenment of the Information Layer

Western philosophy begins with an enlightenment of the Information Layer. In the age of myth, the gods explained the world — "thunder is Zeus' anger"; then the Milesian school began asking whether the origin of all things is water or air. For the first time, human beings tried to interpret the world with testable reason (logos) instead of untestable myth. The essence of this turn was handing the right to explain the world back from "external narrative" to "human reason" — the first multiplicative leap in value conservation's Information-Layer calibration.

The Multiplicative Enlightenment of the Information Layer

The move from "mythic explanation" to "rational explanation" is a Multiplication case: a doubling of the power to decode information. For the same set of phenomena, a rational model (cause → effect) yields more predictable, accumulable and testable information than mythic narrative (will → punishment). Once the "multiplier" of the Information Layer exceeds 1, knowledge compounds — and philosophy, science and logic are born in succession.

Conservation formula: Explanatory power Y = completeness of information E × social consensus S × accumulability T; reason (logos) drives all three above 1 at once.
Socrates: Disenchanting Questioning as Constructive Division

Socrates' maieutic questioning is Division case: a constructive division. First divide unexamined beliefs down to zero, then rebuild true knowledge on the ruins. It reminds us that division is not always destructive; clear out first, rebuild second is the standard route to a higher level of thinking.

Conservation formula: Cognitive upgrade = (total beliefs) ÷ (unexamined assumptions) × rational reconstruction; the more thorough the division, the sturdier the rebuilding.
Fig. 2 · Periods of philosophy: the activity of currents of thought and the evolution of "value-conservation concerns" (area chart, indicative)
X-axis = the four periods; left axis = the relative activity of representative currents of thought (indicative); the curves show philosophy's focus descending from the "external world" into the "depths of the human mind."
The values are indicative indices reflecting, within the mainstream narrative of the history of philosophy, the relative scale of thought across the four periods; they are not precise statistics.

5Plato: The Republic and the Symposium — The Multiplication of a Just City and the Upward Flow of Eros

The Republic = An S×T Multiplication Model of the Just City

Multiplication case: The "just city" designed in The Republic (trans. Guo Binhe and Zhang Zhuming, The Commercial Press) is, in essence, a multiplication model of social value (S) × time value (T): rulers govern with wisdom (the quality of S), guardians protect with courage (the force of S), and producers work with temperance (the base of E); only when each does its own work can the city endure across generations (T). With the philosopher-king — a legislator of the Mind Layer — Plato defines justice as balance of the whole through multiplication rather than the maximum of any single party.

Conservation formula: The value of the city Y = wisdom (E) × justice (S) × generations (T); any class overstepping its role breaks the multiplier structure.
The Symposium = The Cross-Layer Flow of Love (Eros)

The Symposium (trans. Wang Taiqing, The Commercial Press) is short and highly readable, yet it hides Plato's most ingenious method: love is not a single-layer emotion but a "ladder of love" climbing from the Bodily Layer (desire) to the Awareness Layer (beauty) to the Mind Layer (the love of the Forms of the good and the beautiful). Every step love takes across layers is a multiplicative amplification in value conservation — the same energy has a far larger multiplier at the higher layers than at the lower ones.

Conservation formula: The value of love = bodily energy (E) × direction of sublimation (S) × depth in time (T); "the love of wisdom" makes each multiplier grow as you climb.
"Without wisdom, qualities like justice and courage become a positive harm." — Plato, through the mouth of Socrates, warns us: Division warning: without guidance from the Mind Layer (wisdom), the larger the other multipliers, the greater the destructive force This is the first iron law of value conservation: if any dimension goes to zero or falls out of balance, the whole total can collapse to zero. — Paraphrase of the Republic's holistic understanding of the "four cardinal virtues" (wisdom, courage, temperance, justice)

6Aristotle: Ontology and Ethics — The Foundation of the Material Layer and the Multiplication–Division Balance of the Behavioral Layer

Metaphysics = Foundation Work on the Material Layer

Metaphysics (trans. Wu Shoupeng, The Commercial Press) is widely considered one of the most obscure originals in Western philosophy (difficulty: ★★★★★), yet the question it answers could hardly be plainer: "being qua being". Aristotle laid for Western philosophy the foundation of ontology — the inquiry into the "first cause" and "primary substance" behind every thing. In the coordinates of value conservation this is the engineering of the Material Layer (the foundation): if the foundation is solid, the superstructure (knowledge, ethics, politics) can be safely multiplied; if it is hollow — as when "Forms" are severed from "reality" — then however beautiful the upper floors, they hang in mid-air.

Conservation formula: The edifice of philosophy Y = ground of being (E) × categorial structure (S) × test against reality (T); with his substance-and-attribute framework Aristotle set the first stable base under Western knowledge.

Nicomachean Ethics = Eudaimonia Through Virtue, a Balance of Multiplication and Division

The doctrine of virtue: the mean as a balance of multiplication and division

Multiplication case: The Nicomachean Ethics (annotated and trans. Liao Shenbai, The Commercial Press) argues that "virtue is a mean": courage lies midway between cowardice and recklessness, generosity between stinginess and prodigality. This is not spineless fence-sitting but a dynamic balance of multiplication and division — calibrating the two divisors "excess" and "deficiency" in every situation so that the value of action stays reliably in the optimal range.

Conservation formula: Virtue = fitting action ÷ (excess + deficiency) × practical wisdom; the mean keeps the value of conduct in the multiplicative zone over the long run.
Happiness (eudaimonia): the compounding of virtuous activity

Aristotle defines happiness as "activity of the soul in accordance with virtue" and insists it run through a whole lifetime ("one swallow does not make a spring"). Happiness is not a one-off pleasure (f(m)); it is the compounding accumulation of virtuous activity (f(h)) × depth in time (f(t)) — which is almost the classical original of the micro conservation formula y=f(m)×f(h)×f(t).

Conservation formula: Happiness y = virtuous action f(m) × inner fulfillment f(h) × the time of a life f(t); multiply all three — none may be neglected.

7The Modern Turn: I Think, Therefore I Am — Descartes' Reconstruction of Certainty and Locke's Empirical Calibration

Descartes' Meditations = The Reconstruction of Certainty as a Multiplicative Foundation

Multiplication case: Modern philosophy opens with a breathtaking reconstruction. The Meditations on First Philosophy (trans. Pang Jingren, The Commercial Press) begins from "methodical doubt": first discard everything doubtable (a thorough division), then find a point that cannot be doubted — "I think, therefore I am" — and on that ground re-derive God, the self and the world. Descartes' greatness lies not in the doubt itself but in using doubt to purchase a sturdier multiplicative foundation: once certainty is secured, the edifice of knowledge can be rebuilt exponentially.

Conservation formula: The certainty of knowledge = (doubt after emptying) × (the indubitable ground of the "cogito") × rational deduction; divide thoroughly, and you can multiply steadily.

Locke's Essay = Empiricism as Information-Layer Calibration

Multiplication case: The Essay Concerning Human Understanding (trans. Guan Wenyun, The Commercial Press) advances the famous "blank slate": the mind holds no innate ideas; all knowledge comes from experience (sensation plus reflection). This is input calibration at the Information Layer — it puts the question "where does information come from" squarely on the table and argues that the value of knowledge depends on the quality and range of empirical input. With this, empiricism and rationalism raise the curtain on modern epistemology.

Conservation formula: The reliability of knowledge = empirical input (Information Layer) × logical organization (reason) × testability (the S-dimension); experience is not only the denominator but the calibrator.
Division warning: The contest of rationalism × empiricism: to trust only reason and dismiss experience — or only experience and dismiss reason — is the risk of single-variable dominance: a division risk. Reduce epistemology to a single multiplier and distortion is inevitable over the long run. Modern philosophy, tugged between these two poles, was moving toward the Kantian synthesis.
Fig. 3 · The value dimensions of three epistemological traditions compared (radar chart, indicative)
Relative orientations of rationalism (continental), empiricism (British) and existentialism (modern) across six dimensions; the scores are an indicative summary.
The scores are indicative generalizations based on each tradition's representative claims, not quantitative measurements.

8Kant: The Three Critiques as Value-Legislation for Cognition, Morality and Aesthetics

Kant's (1724–1804) three Critiques (People's Publishing House, trans. Deng Xiaomang, rev. Yang Zutao) may be the most systematic "project of value-legislation" in the history of philosophy — they answer three questions in turn: What can I know (Critique of Pure Reason)? What ought I to do (Critique of Practical Reason)? What may I hope (Critique of Judgment)? In the 7-layer coordinate system the three correspond neatly to legislation at the Information, Behavioral and Awareness Layers.

Critique of Pure Reason
Legislation at the Information Layer · 1781/1787 · Difficulty ★★★★★

"reason legislates for nature": Multiplication case: Kant holds that knowledge does not passively mirror the world; reason actively organizes experience through a priori forms (space, time, the categories). This "Copernican revolution" swaps epistemology's multiplier from the "external world" to reason's own structure within us — once this multiplication of cognitive power is secured, universality and necessity in knowledge become possible.

Conservation formula: Scientific knowledge = empirical matter × a priori forms (a multiplicative legislation of the Mind Layer); Division case: the unknowability of the thing-in-itself is an honest marker of the boundary of cognition — epistemology here draws its own line of division.
Critique of Practical Reason
Legislation at the Behavioral Layer · 1788

Moral autonomy = the categorical imperative: Multiplication case: "Act only according to that maxim whereby you can at the same time will that it should become a universal law." Kant turns morality from "obedience to an external authority" (division: handing one's value over to others) into autonomy (multiplication: giving the law to oneself). Freedom is not doing whatever one pleases; it is obeying the law one has legislated for oneself.

Conservation formula: Moral value = autonomous action × universalizable maxims (the S-dimension) × freedom of the will (the T-dimension); the autonomous are the most free.
Critique of Judgment
Legislation at the Awareness Layer · 1790

Aesthetic common sense: Multiplication case: Kant explains aesthetic judgment through "purposiveness without purpose" — beauty depends on neither concepts nor utility, yet it demands "universal assent." This is a multiplicative calibration of the Awareness Layer: when cognition (the true) and morality (the good) tear apart, aesthetics (the beautiful) acts as the "keystone" that reconnects them into a complete critical system.

Conservation formula: The full value of a person = legislation of cognition × legislation of morality × legislation of aesthetics; only when the three Critiques are multiplied together do we get the complete defense of "man as an end."
Fig. 4 · The three Critiques decomposed along E/S/T (grouped bar chart, indicative)
An indicative comparison of the three Critiques' "legislative intensity" on the three dimensions of value conservation: the first Critique stresses "cognitive validity (E)," the second "moral order (S)," and the third "purposiveness in time (T)."
Legislative intensity is an indicative rating, not a measurable objective index.
"Two things fill the mind with ever new and increasing admiration and awe: the starry heavens above me and the moral law within me." — Kant. — Paraphrase of the conclusion of the Critique of Practical Reason, widely regarded as the signature of Kant's philosophy

9Rousseau: The Social Contract as a Multiplication of Freedom Along the S-Dimension

"Man is born free, and everywhere he is in chains." This opening of The Social Contract (trans. He Zhaowu, The Commercial Press) is one of the most quoted aphorisms in the history of political philosophy. Rousseau's answer is not a return to the state of nature but, through the social contract, to carry out a multiplication of freedom along the S-dimension.

The general will: multiplying freedom by community

Multiplication case: Rousseau argues that when individuals surrender some rights to the "general will" by contract, they do not lose freedom; rather, they amplify freedom through social cooperation — the freedom of going it alone (E) is hemmed in everywhere by nature, whereas inside a community welded together by contract (the S-dimension) each member remains "as free as before" and gains far stronger protection. The value of freedom multiplies through the social dimension.

Conservation formula: Political freedom Y = individual rights E × the alliance of the general will S × the legislator's wisdom T; the contract lifts the S-dimension from 1 to >1, and the total leaps.
Equality: the precondition of multiplicative growth

Division warning: Rousseau also warns that when society lurches into extreme inequality of wealth and force replaces contract, the "general will" degenerates into the "will of all," the S-dimension of social value shrinks, and total freedom contracts — this is degeneration through division. He urges law to curb the extreme concentration of wealth so that the multiplier structure stays intact.

Conservation formula: If the contract fails and the S-dimension approaches 0, then Y = E × S × T → 0; this is the conservation-theoretic reading of "everywhere he is in chains."

10Schopenhauer: Will and Suffering as a Division Warning

The World as Will and Representation (trans. Shi Chongbai, rev. Yang Yizhi, The Commercial Press) was a nineteenth-century philosophy book that broke out of the ivory tower. Schopenhauer reduces the essence of the world to a blind will to live — not rational, but an endless surge of desire; and the nature of desire is lack, lack is suffering, and satisfaction breeds new desire at once. Life therefore swings like a pendulum: oscillating between pain and boredom.

The division formula of desire: the stronger the will, the greater the suffering

Division case: Rewriting Schopenhauer in the micro formula: monetary/desire satisfaction f(m) keeps rising, while happiness experience f(h) and time value f(t) keep shrinking — as the denominator shrinks, suffering must swell. Schopenhauer's pessimism is no mere mood; it is a sober division warning: when a person bets all of his value on satisfying the will, total value y instead tends toward zero or even below it.

Conservation formula: y = f(m) × f(h) × f(t); when the will is boundless, f(h) and f(t) tend to 0, and suffering = desire ÷ capacity for satisfaction, amplified exponentially.
The remedy: the temporary transcendence of aesthetics and the self-negation of the will

Schopenhauer offers two paths that reduce division risk: aesthetic contemplation (briefly escaping the will's servitude in art) and compassion / ascetic renunciation (denying the will to live). The lesson: when the division warning sounds, the right move is not to keep enlarging the numerator of desire but to nourish the denominator (f(h) happiness experience and f(t) time value) — to restore the multiplication.

Conservation formula: Release = aesthetic experience f(h)↑ × contemplative time f(t)↑ ÷ the rational restraint of desire f(m); the danger is division, and the cure is multiplication.
Schopenhauer's mirror for our time: the modern cycle of "rat race, then lie flat" is precisely the social edition of the "division formula of desire": the monetary number climbs (f(m)↑) while happiness experience and time value fall (f(h)×f(t)↓), so the total value of life drops even as it seems to rise. Understanding Schopenhauer is getting, in advance, a warning chart of "desire inflation."

11Nietzsche: The Revaluation of All Values as a Division Revolution

Nietzsche (1844–1900) is among the philosophers best known to the general public. Thus Spoke Zarathustra proclaims "God is dead" in prose-poetry, while The Birth of Tragedy re-examines Greek art through the duality of the Apollonian and the Dionysian. In the coordinates of value conservation, Nietzsche launched a division revolution.

Division case: "God is dead" = the division of the old value system

"God is dead" is not a cheer; it is the collapse of an old system of values: once the transcendent absolute (God) loses its hold, the whole edifice of morality, meaning and order it supported is divided down to zero.Division warning: Nietzsche saw it clearly in advance: once the divisor (the old order) is divided to nothing, modern man plunges into the abyss of "nihilism" — that is the price of the division revolution.

Conservation formula: Total old value Y → 0 (the divine order as denominator vanishes); nihilism is the vacuum left once meaning has been divided away.
Multiplication case: "The revaluation of all values" = rebuilding multiplication

After division comes not an end but the rebuilding of multiplication: Nietzsche calls for all values to be re-assessed by the "will to power" (life's own power of creation), with the "Overman" as the ideal — moving the anchor of value from the "beyond" back down to "earth." Zarathustra descending the mountain to "give away wisdom" is precisely multiplication-rebuilding in action.

Conservation formula: New value Y' = life's creativity E × self-legislation S × eternal recurrence T; Nietzsche hands the value multipliers back to individual life itself.
Multiplication case: The Birth of Tragedy = the Apollonian × the Dionysian

Nietzsche holds that the greatness of Greek tragedy comes from the fusion of two forces: the Apollonian (form, dream, order) and the Dionysian (music, intoxication, frenzy). This is not an either/or but a multiplication of the two: order without passion is dead, and passion without form is chaos; tragic art multiplies the two together, and only so does it produce an aesthetic value that shakes the soul.

Conservation formula: Artistic value = Apollonian form (E) × Dionysian force (S) × affirmation of life (T); multiply the two poles, and tragedy is transfigured.
Methodological lesson: Nietzsche teaches a two-stage revolution: "divide first, then multiply." Divide what must be divided, but never stop in the void — new multipliers must be rebuilt on the ruins. The same applies to personal growth and organizational change: after breaking the old framework (division), you must immediately supply a new one (multiplication) — otherwise nothing remains but destruction.

12Existentialism: Multiplication-Rebuilding in the Void

Existentialism was one of the most influential philosophical movements of the twentieth century. It confronts the situation "after value has been divided to nothing": no God, no pre-assigned essence, no ready-made meaning — human beings must create meaning for themselves out of the void. The three thinkers treated here offer three paths of "multiplication-rebuilding."

Multiplication case: Heidegger, Being and Time: Being-Toward-Death as a Multiplication of the T-Dimension

Being and Time (trans. Chen Jiaying and Wang Qingjie, SDX Joint Publishing) is famously hard to read, yet its heart is "being-toward-death": man is a being who exists toward death, and only by facing death — the most extreme boundary of time — can he wake from the fallenness of the "they-self" and live his authentic self.Being-toward-death turns time value T from something vague into something vivid — knowing you will die is what multiplies urgency into every present moment.

Conservation formula: Authentic existence = Dasein (E) × being-with-others (S) × being-toward-death (an awakening of the T-dimension); death turns T from a denominator into a multiplier.
Multiplication case: Sartre, Being and Nothingness: Existence Precedes Essence as a Multiplication of Self-Determination

Being and Nothingness (trans. Chen Xuanliang et al., rev. Du Xiaozhen, SDX Joint Publishing) holds that "existence precedes essence": man first exists, then shapes his essence through free choice. There is no a priori "ought"; value is created by the person himself — this hands the multiplier of meaning-making entirely back to the individual. Sartre also admits that freedom is a "burden": to choose is to be responsible, and there is no escape.

Conservation formula: Self-value = free choice (E) × bearing the consequences of action (S) × sustained creation (T); the "being-for-itself" realizes itself in action.
Multiplication case: Camus, The Myth of Sisyphus: Rolling the Stone On in the Absurd as the Self-Creation of Meaning

The Myth of Sisyphus (trans. Du Xiaozhen, The Commercial Press) is slim and readable (difficulty: ★★★): the gods condemn Sisyphus to roll a boulder uphill forever, and the boulder always rolls back down. Camus says: the absurd is not despair but lucidity — "one must imagine Sisyphus happy," because in his futility he still chooses to love and still rolls the stone, creating meaning through the very act. This is the model of multiplication-rebuilding in the void.

Conservation formula: Value in the absurd = lucidity (E) × the act of defiance (S) × day-after-day persistence (T); the rolling of the stone is itself the meaning.
"There is but one truly serious philosophical problem, and that is suicide." With this extreme question Camus presses the point: when meaning has been divided away, why should a person go on living? His answer does not rest on any external promise; it is "to live decently even without God" — handing the multiplier of life's meaning back to every Sisyphus pushing his stone up the hill. — Paraphrase of the absurdist position in the opening and closing of The Myth of Sisyphus

13Stromberg and Conflict of Ideals: A Methodological Map of Modern Western Thought

The twentieth title on the list, Conflict of Ideals, was verified online: its author is a professor of philosophy at Franklin & Marshall College in the United States, L. J. Binkley (Luther J. Binkley), translated by Ma Yuande, Chen Baicheng, Wang Taiqing, Wu Yongquan and others, The Commercial Press, 1983 (original 1969). The "L. Stromberg" on the list appears to be a slip of memory: Stromberg (Roland N. Stromberg) is the author of a different work, An Intellectual History of Modern Europe. Following the verified facts, this article discusses Binkley's Conflict of Ideals.

Conflict of Ideals: Changing Value Perspectives in Western Society is a methodological map of modern Western currents of thought: it sets Marxism, the humanism of psychoanalysis, existentialism and its humanism, and neo-Christian theology side by side within the coordinate system of "changing value perspectives," exploring the clash of rival ideals of life in the capitalist world. Seen through value conservation, the essence of the book is: to let plural values find their own defensible boundaries amid the clash along the S-dimension (society) and the T-dimension (time) — it offers no single answer; instead it teaches readers to navigate value conflicts methodologically.

Conservation reading: The map of thought = each school's value claims (E) × social context (S) × historical change (T); reading them side by side is a calibration tool that keeps any single school from "kidnapping you by division."

14Applying Philosophical Method: From Reading Philosophy to Decision-Making — A 7-Layer Operating System of Thought

The value of philosophical method lies not in memorizing conclusions but in training a portable operating system of thought. Just as history is read in four ascending stages, so is philosophy: the Information Layer (read what) → the Material Layer (read the essence) → the Behavioral Layer (read action) → the Mind Layer (read yourself). Go deeper still, and philosophical method can act directly on personal decisions, investing and life itself.

The four ascending stages of reading philosophy

1. The Information Layer: read "the claims"

First gather accurate information — who wrote this text, what is its core thesis, and how does its chain of evidence run? This corresponds to Locke's empirical calibration and Descartes' doubt: verify the source first, then believe the claim.

2. The Material Layer: read "the essence"

Next ask "why" — what assumptions about the world and the human being stand behind this claim? This corresponds to Aristotle's ontological questioning and Kant's sense of the boundary of the thing-in-itself: distinguish appearance from foundation.

3. The Behavioral Layer: read "the action"

Then move to "what should I do" — how does this body of thought guide my choices? This corresponds to Aristotle's ethics of virtue and Kant's practical reason: translate ideas into executable rules.

4. The Mind Layer: read "yourself"

Finally turn to "who am I" — what values do I identify with, and for what am I willing to take responsibility? This corresponds to existentialist self-determination and Nietzschean self-legislation: complete the multiplication of the self through the very act of reading philosophy.

Seven-layer applications of philosophical method to decisions, investing and life

Philosophical method × 7-layer depth × real-world application
7-Layer DepthPhilosophical ToolApplication to Decisions / Investing / Life
1 Information LayerLocke's "empirical calibration," Kant's "synthetic a priori"Cross-verify sources and organize information logically, filtering noise down to signal
2 Material LayerAristotle's "being qua being"Return to fundamentals and the ground of value; do not be fooled by appearances and narratives
3 Behavioral LayerKant's "categorical imperative," Aristotle's "mean"Behavioral rules for investment decisions: universalizable, executable over the long run, avoiding excess and deficiency
4 Bodily LayerSchopenhauer's "will," Nietzsche's "will to power"Recognize the drive of desire and impulse; guard against FOMO-driven chasing and panic selling (a division warning)
5 Awareness LayerDescartes' "methodical doubt," aesthetic judgmentVerify at the Information Layer before deciding: doubt first, then gather evidence, then commit — calibrating the noise of intuition
6 Subconscious LayerExistentialist "self-determination," being-toward-deathAwareness of bearing risk yourself: acknowledge uncertainty, own the consequences of decisions, refuse the blame-shifting mindset
7 Mind LayerKant's "reason legislates for nature," Nietzsche's "revaluation of all values"Build personal value principles and a long-term vision; do not be led around by short-term market sentiment
The application mantra in one sentence: Before a decision, use Cartesian doubt to verify at the Information Layer (dividing away the noise); during it, apply Kantian maxims as the Behavioral-Layer gatekeeper (legislating by multiplication); after it, take responsibility for the outcome with existentialist self-determination (the Awareness Layer owning it); and keep recalibrating with the Aristotelian mean (the balance of multiplication and division).

15East and West Compared: The Eastern Echo of Value Conservation

Place the West's "multiplication–division playbook" beside Eastern wisdom and you will be struck by how the two converge on the same end by different roads: both are working on the same problem — where value comes from and how meaning is conserved. The West uses concepts and logic; the East uses cultivation and felt imagery; yet the underlying structure of multiplication and division is astonishingly alike.

Daoism · Subtraction

Division case: "In the pursuit of learning, every day something is acquired. In the pursuit of the Way, every day something is dropped. Less and less is done until non-action is achieved." Daoism follows the route of subtraction (division): cut desire, cut artificial contrivance, and let what is genuinely natural show itself. This echoes Schopenhauer's "denial of the will to live" — in both cases, after the division warning sounds, the chosen move is to subtract from desire.

Conservation formula: The value of the Way = natural authenticity ÷ human contrivance; carry the division to its extreme and you circle back to multiplication (wu wei er wu bu wei — non-action, yet nothing is left undone).
Buddhism · Multiplication

Multiplication case: Buddhism teaches "dependent origination and emptiness" and "all dharmas are consciousness-only," yet its practice rests on "loving-kindness, compassion, joy and equanimity" and "the six perfections in ten thousand deeds" — having seen through "emptiness," it still accumulates merit multiplicatively through altruistic action. This is the same tune as existentialism's "creating meaning in the void": recognize the void, and still choose the multiplication that moves toward the good.

Conservation formula: The value of awakening = prajna wisdom (E) × compassionate altruism (S) × unflagging diligence (T); emptiness divides, compassion multiplies.
Confucianism · Multiplication

Multiplication case: With the five constants of "benevolence, righteousness, propriety, wisdom and trustworthiness," Confucianism builds a multiplicative system of social value: cultivating the self (E) × regulating the family (S) × governing the state and bringing peace to all under heaven (T); "to establish oneself, establish others; to enlarge oneself, enlarge others" — extending oneself to others is precisely a multiplicative expansion of the S-dimension, kin in spirit to Plato's just city and Rousseau's social contract.

Conservation formula: The value of a life Y = self-cultivation (E) × benevolence and righteousness (S) × family, state and world (T); extend yourself to others, and the multipliers grow layer by layer.
Fig. 5 · Four mindsets compared under value conservation (radar chart, indicative)
Relative orientations of pessimism (Schopenhauer), Overman philosophy (Nietzsche), absurdism (Camus) and the way of the mean (Aristotle/Confucianism) across six dimensions; the scores are an indicative summary.
The scores are indicative generalizations of four representative stances; they are not quantitative measurements.
Philosophical method is the multiplication–division playbook of value conservation. Western philosophy spent 2,500 years proving one path, and Eastern wisdom spent two millennia verifying the same path: genuine growth is always multiplicative — E, S and T rising above 1 together; and any short-term gain bought by sacrificing social value and time value will eventually be settled by division. — The East–West consensus on conservation

16Conclusion: The Methodology of Western Philosophy Is a Multiplication–Division Playbook of Value Conservation

The method of philosophical history = a 2,500-year conservation history of meaning and value = a seven-layer descent × multiplication–division deduction × legislation for each age
Information (epistemology) → Material (ontology) → Behavioral (ethics) → Bodily (will) → Awareness (doubt and aesthetics) → Subconscious (existence) → Mind (ideals and order)

Looking back over the whole journey, the value of Western philosophy's methodology can be condensed into three propositions:

  • It is the evolution of a 7-layer deep-thinking operating system. From the Greeks' question at the Material Layer, to the modern turn of the Information Layer, to the contemporary struggle in the Subconscious and Mind Layers, the history of philosophy has spent 2,500 years descending into the depths of the person — to read philosophy is to install a seven-layer deep-thinking operating system in the mind.
  • It is a history of multiplication–division deduction under value conservation. Plato, Kant and Rousseau multiply; Schopenhauer and Nietzsche divide; existentialism divides first and multiplies after — every great philosopher's core thesis can be rendered as an E×S×T operation of multiplication or division, from which his answer to "where value comes from and how meaning is conserved" can be read.
  • It is a thinking tool that can be carried into the present. Descartes' doubt verifies before decisions, Kant's maxims gatekeep conduct, existentialist self-determination owns the risk, and Aristotle's mean recalibrates over the long run — philosophical method is no archive of dead pages but an operating system for navigating uncertainty.
Fig. 6 · Distribution of multiplication and division cases across the article (doughnut chart)
This article marks 26 cases in all: 16 of multiplication (rebuilding) and 10 of division (warning) — and the ratio is itself the conclusion: the history of philosophy teaches both "how to multiply" and "when to beware of division."
Case counts are based on the Multiplication / Division tags marked in the text.
A final note (advertising-law compliance and neutrality of thought): This article presents the philosophical schools named here in an objective, neutral, methodological way: it ranks no religion or school of thought above another and claims no single method is "universally applicable." Philosophy offers no standard answer but a constantly recalibrated multiplication–division playbook — one that reminds us: value is neither created from nothing nor lost to nothing; it only transforms between multiplication and division.

17Sources and Verification of the Bibliography

All twenty titles below were verified against multiple online sources (official websites, established publishers, Douban, authoritative media, etc.); titles, authors, translators, publishers and years follow the verification results. Any discrepancy with the original list is noted as is, and nothing has been fabricated. Objective historical statements are marked "paraphrase," and ratings/indices are marked "indicative."

Verification results for the twenty classics of Western philosophy (in list order)
#TitleAuthor (verified)Translator / Edition (verified)Verification
1A History of Philosophy (9th ed.)Samuel Enoch Stumpf, James FieserTrans. Deng Xiaomang and Kuang Hong, Beijing United Publishing (Houlang), 2019Verified (the list's "Stumpf" spelling was corrected)
2The Big Questions: A Short Introduction to PhilosophyRobert C. Solomon, Kathleen M. HigginsTrans. Zhang Butian, Guangxi Normal University Press / Tsinghua University Press (10th ed.), 2018Verified
3A History of Western PhilosophyBertrand RussellTrans. He Zhaowu and Joseph Needham (vol. 1), Ma Yuande (vol. 2), The Commercial PressVerified
4The RepublicPlatoTrans. Guo Binhe and Zhang Zhuming, The Commercial PressVerified
5The SymposiumPlatoTrans. Wang Taiqing, The Commercial Press, 2013 and other editionsVerified
6MetaphysicsAristotleTrans. Wu Shoupeng, The Commercial PressVerified
7Nicomachean EthicsAristotleTrans. and annotated by Liao Shenbai, The Commercial PressVerified
8Meditations on First PhilosophyDescartesTrans. Pang Jingren, The Commercial PressVerified
9An Essay Concerning Human UnderstandingJohn LockeTrans. Guan Wenyun, The Commercial Press, 1959Verified
10Critique of Pure ReasonImmanuel KantTrans. Deng Xiaomang, rev. Yang Zutao, People's Publishing HouseVerified
11Critique of Practical ReasonImmanuel KantTrans. Deng Xiaomang, rev. Yang Zutao, People's Publishing HouseVerified
12Critique of JudgmentImmanuel KantTrans. Deng Xiaomang, rev. Yang Zutao, People's Publishing HouseVerified
13The Social ContractJean-Jacques RousseauTrans. He Zhaowu, The Commercial Press (revised 3rd ed., 2003)Verified
14The World as Will and RepresentationArthur SchopenhauerTrans. Shi Chongbai, rev. Yang Yizhi, The Commercial PressVerified
15Thus Spoke ZarathustraFriedrich NietzscheTrans. Qian Chunqi, SDX Joint Publishing (annotated edition) and othersVerified
16The Birth of TragedyFriedrich NietzscheTrans. Zhou Guoping (Yilin / SDX, etc.) or Sun Zhouxing (The Commercial Press)Verified
17Being and TimeMartin HeideggerTrans. Chen Jiaying and Wang Qingjie, SDX Joint PublishingVerified
18Being and NothingnessJean-Paul SartreTrans. Chen Xuanliang et al., rev. Du Xiaozhen, SDX Joint PublishingVerified
19The Myth of SisyphusAlbert CamusTrans. Du Xiaozhen, The Commercial Press / People's Literature Publishing House, etc.Verified
20Conflict of Ideals: Changing Value Perspectives in Western SocietyL. J. Binkley (professor of philosophy at Franklin & Marshall College)Trans. Ma Yuande, Chen Baicheng, Wang Taiqing, Wu Yongquan and others, The Commercial Press, 1983 (original 1969)Verified (the list's "L. Stromberg" was an error and has been corrected)

Clickable source links

A note on verifying the bibliography: The twentieth title was checked against multiple sources: its author is L. J. Binkley (Conflict of Ideals: Changing Value Perspectives in Western Society, The Commercial Press, 1983). The "L. Stromberg" on the list does not match that author (Stromberg wrote a different intellectual history of modern Europe), and this article follows the verified correction; the other nineteen titles all check out, with at most minor supplementary notes on editions or translators.