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Note: these tables are presented here roughly in the order in which they become relevant to the text; we begin with the Hegel background.

§1

Table of Correspondences

§2

Hegel’s Science of Logic Categories (in Triads)

§2.1

Hegel’s Science of Logic 1 Being

§2.2

Hegel’s Science of Logic 2 Essence

§2.3

Hegel’s Science of Logic 3 Concept

§3

Hegel’s Encyclopaedia Logic Categories (in Triads)

§3.1

Hegel’s Encyclopaedia of Philosophical Sciences

§3.2

Hegel’s Encyclopaedia Logic 1 Being

§3.3

Hegel’s Encyclopaedia Logic 2 Essence

§3.4

Hegel’s Encyclopaedia Logic 3 Concept

§4

Immanent Logic of the Value Form (in Triads)

§4.1

Immanent Logic of the Value Form 1 Being

§4.2

Immanent Logic of the Value Form 2 Essence

§4.3

Immanent Logic of the Value Form 3 Concept

§5

Systematic-Dialectical Presentation Table

§6

Dialectic of the Value Form (in Triads)

§6.1

Commodity

§6.2

Money

§6.3

Capital

§7

Presentation of Logical Categories of the Value Form

§8

Presentation of the Categories of the Value Form: Capital in Its Notion

§9

Tables of Absence and Presence

§10

The Forms of Value

§11

Price

§12

Metamorphoses of Money

§13

System of Industrial Capital

1 Table of Correspondences

Hegel Encyclopaedia §18

  1. Logic: The Science of the Idea in and for Itself,

  2. The Philosophy of Nature; the Science of the Idea in Its Otherness,

  3. The Philosophy of Spirit; as the Idea Come Back to Itself out of that Otherness.

Arthur

  1. Value Form: as the Science of Capital in Its Notion,

  2. Capital Relation: Capital and Its Other,

  3. Capital as Systemic Unity.

Hegel Encyclopaedia §83

Logic falls into three parts:

  1. The Doctrine of Being,

  2. The Doctrine of Essence,

  3. The Doctrine of the Concept and the Idea.

That is, into the theory of Thought in:

  1. Its Immediacy: The Concept Implicit and in Germ,

  2. Its Reflection and Mediation: The Being-for-Itself and Show of the Concept,

  3. Its Return into Itself and Its Developed Being-by-Itself: The Concept In-and-for-Itself.

Arthur

The dialectic of the value form falls into three parts:

  1. Commodity,

  2. Money,

  3. Capital.

That is, into the theory of Exchange in:

  1. Its Immediacy: Value Implicit and in Germ,

  2. Its Reflection and Mediation: Value for-Itself, the Showing-Forth of Value,

  3. Its Return into Itself, and Its Development of Itself: Self-Valorisation.

Hegel: Logic

Arthur: Dialectic of the Value Form

I. The Doctrine of Being

I.Commodity

A. Quality

A. Exchangeable commodities

B. Quantity

B. Quantity of commodities

C. Measure

C. Exchange-value of commodities

II. The Doctrine of Essence

II. Money

A. Intro-reflection

A. Value-in-itself

B. Appearance

B. Forms of Value

C. Actuality

C. Money

III. The Doctrine of Concept

III. Capital (General Formula)

A. Subjectivity

A. Price

B. Objectivity

B. Metamorphoses of commodities (C–M–C′)

C. The Idea

C. Capital (M–C–M′)

2 Hegel’s Science of Logic Categories (in Triads)

Hegel’s Science of Logic – 1 Being

(Pure) Being

Being

Nothing

Becoming

Determinate Being

Quality

Determinate Being

Finitude

Infinity

Being-for-Itself as such

Being-for-Itself

One & Many

Repulsion/Attraction

(Pure) Quantity

Quantity

Quantum

Quantitative Ratio

Specific Quantum

Specific Quantity

Specifying Measure

Being-for-Itself in Measure

Relation of Stable Measures

Measure

Real Measure

Nodal Line of Measure Relations

The Measureless

The Becoming of Essence (Indifference)

Hegel’s Science of Logic – 2 Essence

Essence as Reflection into Self

Essential/Unessential

Show

Show

Reflection

Determinations of Reflection

Identity

Difference

Contradiction

Absolute Ground (Form)

Ground

Determined Ground

Condition

Existence (The Thing)

Appearance

Appearance

Whole/Part

(Essential) Relationship

Force/Expression

Outer and Inner

The Absolute

Contigency

Actuality

Actuality

Relative Necessity

Absolute Necessity

Of Substance

Absolute Relation

Of Causality

Reciprocity

Hegel’s Science of Logic – 3 Concept

Universal

Subjectivity

The Concept

Particular

Singular

Judgement of Existence

Judgement

Judgement of Reflection

Judgement of Necessity

Judgement of the Concept

Syllogism

Mechanism

Objectivity

Chemism

Teleology

Living Individual

Life

Life Process

Genus

The Idea of the True

The Idea

The Idea of Cognition

The Idea of the Good

Absolute Idea

3 Hegel’s Encyclopaedia Logic Categories (in Triads)

Hegel’s Encyclopaedia of Philosophical Sciences

Being

Logic

Essence

Concept

Mechanics

Nature

Physics

Organics

Subjective Spirit

Spirit

Objective Spirit

Absolute Spirit

Hegel’s Encyclopaedia Logic – 1 Being

Pure Being

Being

Nothing

Becoming

Quality

Determinate Being

One

Being-for-Itself

Many

Repulsion/Attraction

Pure Quantity

Quantity

Quantum

Degree

Rule

Measure

Measureless

True Infinite of Measure

Hegel’s Encyclopaedia Logic – 2 Essence

Identity

Ground of Existence

Pure Determinations Of Reflection

Difference

Ground

Existence

The Thing

World of Appearance

Appearance

Content and Form

Whole/Part

(Essential) Relationship

Force/Expression

Inner/Outer

Possibility

Actuality

Contingency

Of Substance

Necessity (Absolute Relationship)

Of Causality

Reciprocity

Hegel’s Encyclopaedia Logic – 3 Concept

Universality

Concept as Such

Particularity

Singularity

Subjective Concept

Judgement

Syllogism

Mechanism

The Object

Chemism

Teleology

Living Entity

The Idea

Life

Life Process

Genus

Cognition

Cognition

Willing

Absolute Idea

4 Immanent Logic of the Value Form (in Triads)

The Immanent Logic of the Value-Form – 1 Being

Nothing

Being

Pure Being

Becoming

Something and Other

Quality

Determinate Being

Spurious Infinity

True Infinity

Being-for-Itself

One/Many/Totality

Pure Quantity

Unit

Quantity

Quantum

Number

A Number of Units

Ratio of Quanta

Rule

Measure

Series of Specific Measures

Infinite Unity of Measure-Relations

The Immanent Logic of the Value-Form – 2 Essence

Reflection

Pure Determinations Of Reflection

Identity

Intro-reflection

Difference

Contradiction

Ground

The Thing

Existence

Form (and Content)

Law

Appearance

Worlds of Appearance

Force and Expression

Correlation

Possibility

Actuality

Modality

Contingency

Necessity

Absolute Identity

Absolute Form

Exposition

Reciprocity

Oneness

Substance

Substance in Immediacy

Extension

Finite Modes

Absolute Relation of

Form/Content

Infinite Unity of Substance

The Immanent Logic of the Value-Form – 3 Concept

Universal

The Notion

Particular

Singular

Formal Judgement

Subjectivity

Judgement

Categorical Judgement

Judgement of the Concept

Syllogism

“Mechanism”

Objectivity

“Chemism”

Teleology

The Individual

Living Indvidual

The Idea

“Life”

Life Process

Generation

Absolute Idea

The Idea in Itself

Practical Idea

The Idea of Cognition

Theoretical Idea

Realised Idea

5 Systematic-Dialectical (SD) Presentation Table

Systematic-Dialectical (SD) presentation table

Analytical dialectic

Synthetical dialectic

Starting Point

Commodity: its prevalence is a given to be posited as result

Value: the pervasive totalising form posited as grounded on itself through SD

Movement

Uncovering of necessary conditions of existence (CoE) then posited

Development of grounds sufficient to posit the starting point

Sublation

CoEs are sublated when posited as ‘idealised’ by SD

Presuppositions are sublated through the grounding movement of SD

Positing the Presupposition

CoEs are posited through the SD

Grounds posit sequentially the actuality of what they presuppose

Result

All CoEs are subsumed in the system as it reproduces itself

The whole grounds its moments when developed in a hierarchical system of determinations

6 Dialectic of the Value Form (in Triads)

Dialectic of the Value Form – 1 Commodity

Being Present in Exchange

Quality of Being Exchangeable

Exchangeableness

An Exchangeable

Quantity of Commodities

Infinite Unity of All Exchangeables

Number of Commodities to Be Exchanged in a Transaction

Ratio of Exchange

Pro-rata exchange

Exchange-Value

Series of Exchange-Values

Infinite Unity of Measures

Dialectic of the Value Form – 2 Money

Value as Immanent Exchangeability

Intro-Reflection of Value

Reflex-Determinations of Value

Value Is in the Commodity

Value Is Not in the Commodity

Value Is/Is-Not in the Commodity

Value Grounded in the Value-Form

Value as Appearance

Value as Existent

(Value as Form & as Content. Value as Law)

Simple Form ‘Form I

Expression of Value

Expanded Form ‘Form II’

General Form ‘Form III

Correlative Totalities of Value

Value as Actuality Is Money

Modality of Equivalent Form: Total Form ‘Form IV

Possible Any Commodity May Be Money

Contingency of Money Commodity

Actuality of Money Is Necessary

Money as Absolute Form of Value

Exchangeability in Immediacy Money

Form of Value ‘Form V

Immediate Exchangeability Laying Out of

Money ‘Form VI

Reciprocity of Form-Determinations

Value as Substance

Value as Substance in Immediacy

– Oneness of Money

– Dimensionality of Value

– Money as Measure

Value as substance of commodities,

Money as their Real measure

Infinite Unity of Value Substance ‘Form VII

Dialectic of the Value Form – 3 Capital

Capital

Universality of Value

The Notion

Amount

An Amount

Price

Judgement of Worth

Transitivity of Price

Exchange and Circulation

Immediate Exchange

Sale and Purchase

Metamorphoses of Commodities and Money

End of Exchange

Capital

Money as Money

Means of Payment

Fund

Money as Capital

General Formula

Capital as Idea

Accumulation

Formal Determination (Subsumption/Valuation)

Capital Realised in Contradiction

7 Presentation of Logical Categories of the Value Form

These categories are drawn from Hegel’s two Logics, but selected, and ordered, with a view to the presentation of the value-form dialectic; the numbering system is my own.

1

Being

11

Quality

11.1

Being

11.11

Nothing 11.12 Pure Being 11.13 Becoming

11.2

Being (Qualitatively) Determinate Is in Being-for-Other

11.21

Something and Other

11.22

Spurious Infinity

11.23

True Infinity

11.3

Being-for-Itself

11.31

One

11.32

Many

11.33

(Relative) Totality (Attraction / Repulsion)

12

Quantity

12.1

Pure Quantity (Infinite Unity)

12.2

Quantum:

12.21

Unit, 12.22 Number, 12.23 A Number of Units

12.3

Ratio of Quanta

13

(Specifying) Measure

13.1

Rule

13.2

Series of Specific Measures

13.3

Infinite Unity of Measure Relations

2

Essence

21

Intro-Reflection

21.1

Reflection (and ‘Show’)

21.2

Determinations of Reflection

21.21

Identity

21.22

Difference

21.23

Contradiction

21.3

Ground

22

Appearance

22.1

Existence

22.11

Thing (and Property)

22.12

Form (and Content)

22.13

Law

22.2

Worlds of Appearance

22.3

Correlation

23

Actuality

23.1

Modality

23.11

Possibility

23.12

Contingency

23.13

Necessity

23.2

Absolute Form

23.21

Absolute Identity

23.22

Exposition

23.23

Reciprocity of Form-Determinations

23.3

Substance

23.31

Substance in Immediacy

23.31/1

Oneness

23.31/2

Extension

23.31/3

Finite Modes

23.32

Absolute Relation of Substance as Form and Content

23.33

Infinite Unity of Substance

3

Concept

31

Subjectivity

31.1

Notion (31.11 Universality, 31.12 Particularity, 31.13 Singularity)

31.2

Judgement

31.3

Syllogism

32

Objectivity

32.1

‘Mechanism’

32.2

‘Chemism’

32.3

Teleology

33

Idea

33.1

The Individual

33.2

‘Life’:

33.21

Living Individual

33.22

Life Process

33.23

Generation

33.3

Absolute Idea

33.31

Idea in Itself

33.32

Cognition

33.33/1

Practical Idea

33.33/2

Theoretical Idea

33.33

Realised Idea

8 Presentation of the Categories of the Value Form: Capital in Its Notion

1

Commodity

11

Quality of Being Exchangeable

11.1

Being Present in Exchange

Nothing; Being; Nothingness (the Presence of Nothing)

11.2

Exchangeableness: Something and Other; Spurious Infinity; True Infinity

11.3

An Exchangeable

One; Many; (Relative) Totality (Attraction / Repulsion)

12

Quantity of Commodities Exchanged

12.1

Pure Quantity (Infinite Unity of All Exchangeables)

12.2

Number of Commodities Exchanged in a Transaction

12.3

Ratio of Exchange

13

Exchange-Value as the (Specifying) Measure

13.1

Rule of Pro-rata Exchange

13.2

Series of Exchange-Values (i.e. of Specific Measures)

13.3

Infinite Unity of Measure Relations

2

Money

21

Value as Immanent Exchangeability

21.1

Exchange-Value Reflected into the Commodity

21.11

Positing Reflection; 21.12 External Reflection; 21.13 Determining Reflection

21.2

Reflex-Determinations of Value

21.21

Identity (Value Is in the Commodity)

21.22

Difference (Value Is Not in the Commodity but Different from It)

21.23

Contradiction (Value Is and Is Not in the Commodity)

21.3

Value Grounded in the Value Form

22

Value as Appearance

22.1

Value as Existent

22.11

Value as (Relational) Property of a ‘Thing’

22.12

Form and Content

22.13

Value as Law-like in Its Appearance

22.2

Forms of Appearance of Value:

22.21

Form I Simple Form

22.22

Form II Expanded Form

22.23

Form III General Form

22.3

Correlation of Immediate and Reflected Totalities of Value

23

Value as Actuality: Money

23.1

The Modalities of Equivalent Form: Possibility; Contingency; Necessity;

Form IV: Total Form of Value

23.2

Money as Absolute Form of Value

23.21

Exchangeability-in-Immediacy; Form V: Money Form of Value

23.22

Immediate Exchangeability; Form VI: Laying-Out of Money

23.23

Reciprocity of Form-Determinations of Money

23.3

Value as Substance (the Substantiality of Value Exists in Money)

23.31

Value as Substance in Immediacy

23.31/1

Substance-in-Itself; Its Oneness (Its Self-Identity)

23.31/2

Substance-for-Itself as a Dimensionally Extended Body of Value

23.31/3

Money as Finite Mode of Value:

23.31/31

Immanent Magnitude

23.31/32

Monetary Medium

23.31/33

Measure Proper Is Given in Units of Money

23.32

Value-Substance Actualised in a Realm of Finitude: Commodities

23.32/1

Money is the Real Measure of Value of Commodities

23.32/2

Commodities as ‘Values’

23.32/21

Value as the Substance of Commodities

23.32/22

The Transubstantiation of the Commodity

23.32/23

The Commodity Posited as ‘a Value’

23.32/3

Value as Absolute Relation of Form and Content

23.33

Infinite Unity of Value Substance: Form VII: Substantial Form

23.33/1

Interchangeability of Commodities as Values Predicated by Money

23.33/2

Money as Comparator (Unitary Measure of Value)

23.33/3

Merging of Values in a Mass of Value Measured in One Sum

3

Capital

31

Price (Subjectivity of Value)

31.1

Value as Notion

31.11

Infinite Value Notion

31.11/1

Universality of Value

31.11/2

Particularity as ‘Amount’

31.11/3

Singularity as ‘an Amount’

31.12

Finite Value Notion (Schematised in Money as ‘Measure-Making’)

31.13

Value Brought Back to the Infinite: Fungibility of Money

31.2

The Value Judgement (Money Assumes the Role of Measure-Taking)

31.21

The Judgement of Worth, ‘This Commodity is Worth $x’

31.22

Standard of Price; Money of Account;

31.23

The Unfolding of the Judgement of Worth

31.23/1

The Formal Judgement (Qualitative and Quantitative)

31.23/2

The Categorical Judgement;

31.23/3

The Judgement of the Concept

31.3

Transitivity of Price

31.31

Syllogism of Abstraction: If A Is Worth $x, and B Is Worth $x, Then A = B

31.32

Syllogism of Equality: If A = B, and B = C, Then A = C

31.33

Syllogism of Syllogisms:

If A = B & B = C Then A = C;

If C = A & A = B Then C = B;

If B = C & C = A Then B = A (the System Is Closed).

32

Exchange and Circulation (Objectivity of Value)

32.1

Immediate Exchange (Money as Ideal Measure) C–C′

32.2

Sale Is Purchase (C–M) ≡ (M–C)

32.3

Metamorphoses of Commodities and Money

32.31

Sale and Purchase (C–M) + (M–C′)

32.32

Metamorphoses of Commodities C–M–C′ (Finite Teleology)

32.33

Metamorphoses of Money (Monetary Circulation: Infinite Teleology)

33

Capital as Concept and Idea

33.1

Money as Money (Value as ‘Individuated’)

33.11

Money as End of Exchange

33.12

Money as Means of Payment

33.13

Money as Funds

33.2

Money as Capital

33.21

Money as Its Own End

33.22

‘Life Process’ of Capital: General Formula for Capital

33.23

‘Generation’ of Increment of Money

33.3

Capital as Idea

33.31

Accumulation

33.31/1

Transformation of the Monetary Increment into Capital

33.31/2

Rate of Accumulation as a Measure of Capital by Itself for Itself

33.31/3

The Infinity of Capital

33.32

The Formal Determination by Capital of Its Real World Existence

33.32/1

Subsumption

33.32/2

Valuation

33.33

Idea of Capital Realised in Contradiction

9 Tables of Absence and Presence

Absence and presence in exchange

‘production’

exchange

‘consumption’

A: real being (use-value)

present

absented

present

B: ideal being (in exchange)

absent

present

absent

Being-in-exchange and its other

‘production’

exchange

‘consumption’

(use-value) non-being

Being (‘in exchange’)

non-being (use-value)

Dialectic of Being-in-Exchange

as Absence

as Presence

as Presence of Absence

Nothing

Being

Nothingness

10 The Forms of Value

Form I The Simple Form of Value

z of commodity A expresses its value in y of commodity B

Form II The Expanded Form of Expression of Value

z of commodity A expresses its value in

y of commodity B

or x of commodity C

or w of commodity D

or so on and so forth

Form III The General Form of Value

y of commodity B

express their value in z of commodity A

and x of commodity C

and w of commodity D

and so on and so forth

Form IV The Total Form of Expression of Value

1)

The total expanded form

The value of zA is yB or xC or wD etc.

or

The value of yB is zA or xC or wD etc.

or

The value of xC is zA or yB or wD etc.

or

etc.

2)

The total general form

The value of yB and xC and wD etc. is zA

or

The value of zA and xC and wD etc. is yB

or

The value of zA and yB and wD etc. is xC

or

etc.

Form V The Money Form of Value: Exchangeability in Immediacy

20 yard of linen

express their value in an ounce of gold

1 coat

40 lbs. of coffee

10 lbs. of tea

Half a ton of iron

etc.

Form VI: The Form of Immediate Exchangeability or the Laying-Out of Money

an ounce of gold is immediately exchangeable for

20 yards of linen

and 1 coat

and 40 lbs of coffee

and half a ton of iron

and so on

Form VII: The Substantial Form of Value

a units of A

is worth

z of money

b units of B

is worth

y of money

c units of C

is worth

x of money

d units of D

is worth

w of money

etc.

is worth

A & B & C & D … together

are worth

the sum of z + y + x + w …

NB Thus, A & B & C & D together are worth n, a single sum of money, where n is the sum of z + y + x + w …

11 Price

1. Value in Its Notion

Universality

(value all pervasive)

Particularity

(= amount)

Singularity

(= an amount)

2. Judgement of Worth: This commodity A is worth $x

  1. Formal Judgement

    a) of Quality b) of Quantity

  2. Categorical Judgement

  3. Judgement of the Concept

3. Transitivity of Price

  1. Syllogism of Abstraction

    if A is worth $x

    & B is worth $x

    then A is worth what B is worth

    so A = B i.e. equal in price

  2. Syllogism of Equality (of Price)

    if A = B, & B = C, then A = C

  3. Syllogism of Syllogisms

    if A = B & B = C then A = C

    if C = A & A = B then C = B

    if B = C & C = A then B = A

12 The Metamorphoses of Money

I

circulation

Exchanges of agent W:

C–M–C′

Exchanges of agent X:

C′–M–C″

consumption

production

Exchanges of agent Y:

C″–M–C‴

circulation

II

circulation

Exchanges of agent W:

C–M–C′

Exchanges of agent X:

C′–M–C″

consumption

production

Exchanges of agent Y:

C″–M–C

Exchanges of agent W:

C–M–C′

circulation

13 The System of Industrial Capital

Reflection into self

Universality

Particularity

Singularity

Reflection into other

(self-identity)

(difference ‘within’ capital)

(self-relation)

Universality (capital as such reflected into itself)

The Rate of Surplus Value

The metamorphoses of capital

Simple price =

Cost price plus profit.

Rate of profit

Particularity (difference between capitals)

Capitals in competition

absolute & relative surplus value

Organic composition of capital

Production price =

Cost price plus uniform rate of profit

Singularity (systemic unity of social capital)

General law of capital accumulation

Reproduction of total social capital via Departments of Reproduction

Reproduction price

General Rate of Profit

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