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資本論 CHAPTER 11: RATE AND MASS OF SURPLUS-VALUE

作者:(德)卡爾·馬克思 分類:其他 更新時間:2026-08-10 18:48:22

In

this

chapter,

as

hitherto,

the

value

of

labour

power,

and

therefore

the

part

of

the

working

day

necessary

for

the

reproduction

or

maintenance

of

that

labour-power,

are

supposed

to

be

given,

constant

magnitudes.

This

premised,

with

the

rate,

the

mass

is

at

the

same

time

given

of

the

surplus-value

that

the

individual

labourer

furnishes

to

the

capitalist

in

a

definite

period

of

time.

If,

e.g.,

the

necessary

labour

amounts

to

6

hours

daily,

expressed

in

a

quantum

of

gold

=

3

shillings,

then

3s.

is

the

daily

value

of

one

labour

power

or

the

value

of

the

capital

advanced

in

the

buying

of

one

labour-power.

If,

further,

the

rate

of

surplus-value

be

=

100%,

this

variable

capital

of

3s.

produces

a

mass

of

surplus-value

of

3s.,

or

the

labourer

supplies

daily

a

mass

of

surplus

labour

equal

to

6

hours.

But

the

variable

capital

of

a

capitalist

is

the

expression

in

money

of

the

total

value

of

all

the

labour-powers

that

he

employs

simultaneously.

Its

value

is,

therefore,

equal

to

the

average

value

of

one

labour-power,

multiplied

by

the

number

of

labour

powers

employed.

With

a

given

value

of

labour

power,

therefore,

the

magnitude

of

the

variable

capital

varies

directly

as

the

number

of

labourers

employed

simultaneously.

If

the

daily

value

of

one

labour-power=

3s.,

then

a

capital

of

300s.

must

be

advanced

in

order

to

exploit

daily

100

labour-powers,

of

n

times

3s.,

in

order

to

exploit

daily

n

labour-powers.

In

the

same

way,

if

a

variable

capital

of

3s.,

being

the

daily

value

of

one

labour-power,

produce

a

daily

surplus-value

of

3s.,

a

variable

capital

of

300s.

will

produce

a

daily

surplus-value

of

300s.,

and

one

of

n

times

3s.

a

daily

surplus-value

of

n

×

3s.

The

mass

of

the

surplus-value

produced

is

therefore

equal

to

the

surplus-value

which

the

working

day

of

one

labourer

supplies

multiplied

by

the

number

of

labourers

employed.

But

as

further

the

mass

of

surplus-value

which

a

single

labourer

produces,

the

value

of

labour

power

being

given,

is

determined

by

the

rate

of

the

surplus-value,

this

law

follows:

the

mass

of

the

surplus-value

produced

is

equal

to

the

amount

of

the

variable

capital

advanced,

multiplied

by

the

rate

of

surplus-value,

in

other

words:

it

is

determined

by

the

compound

ratio

between

the

number

of

labour-powers

exploited

simultaneously

by

the

same

capitalist

and

the

degree

of

exploitation

of

each

individual

labour

power.

Let

the

mass

of

the

surplus-value

be

S,

the

surplus

value

supplied

by

the

individual

labourer

in

the

average

day

s

the

variable

capital

daily

advanced

in

the

purchase

of

one

individual

labour-power

v,

the

sum

total

of

the

variable

capital

V,

the

value

of

an

average

labour-power

P,

its

degree

of

exploitation

(a'\/a)

(surplus

labour\/necessary-labour)

and

the

number

of

labourers

employed

n;

we

would

have:

It

is

always

supposed,

not

only

that

the

value

of

an

average

labour-power

is

constant,

but

that

the

labourers

employed

by

a

capitalist

are

reduced

to

average

labourers.

There

are

exceptional

cases

in

which

the

surplus-value

produced

does

not

increase

in

proportion

to

the

number

of

labourers

exploited,

but

then

the

value

of

the

labour-power

does

not

remain

constant.

In

the

production

of

a

definite

mass

of

surplus

value,

therefore

the

decrease

of

one

factor

may

be

compensated

by

the

increase

of

the

other.

If

the

variable

capital

diminishes,

and

at

the

same

time

the

rate

of

surplus-value

increases

in

the

same

ratio,

the

mass

of

surplus-value

produced

remains

unaltered.

If

on

our

earlier

assumption

the

capitalist

must

advance

300s.,

in

order

to

exploit

100

labourers

a

day,

and

if

the

rate

of

surplus-value

amounts

to

50%,

this

variable

capital

of

300s.

yields

a

surplus-value

of

150s.

or

of

100

×

3

working

hours.

If

the

rate

of

surplus

value

doubles,

or

the

working

day,

instead

of

being

extended

from

6

to

9,

is

extended

from

6

to

12

hours

and

at

the

same

time

variable

capital

is

lessened

by

half,

and

reduced

to

150s.,

it

yields

also

a

surplus

value

of

150s.

or

50

×

6

working

hours.

Diminution

of

the

variable

capital

may

therefore

be

compensated

by

a

proportionate

rise

in

the

degree

of

exploitation

of

labour-power,

or

the

decrease

in

the

number

of

the

labourers

employed

by

a

proportionate

extension

of

the

working

day.

Within

certain

limits

therefore

the

supply

of

labour

exploitable

by

capital

is

independent

of

the

supply

of

labourers.1On

the

contrary,

a

fall

in

the

rate

of

surplus-value

leaves

unaltered

the

mass

of

the

surplus-value

produced,

if

the

amount

of

the

variable

capital,

or

number

of

the

labourers

employed,increases

in

the

same

proportion.

Nevertheless,

the

compensation

of

a

decrease

in

the

number

of

labourers

employed,

or

of

the

amount

of

variable

capital

advanced

by

a

rise

in

the

rate

of

surplus-value,

or

by

the

lengthening

of

the

working

day,

has

impassable

limits.

Whatever

the

value

of

labour-power

may

be,

whether

the

working

time

necessary

for

the

maintenance

of

the

labourer

is

2

or

10

hours,

the

total

value

that

a

labourer

can

produce,

day

in,

day

out,

is

always

less

than

the

value

in

which

24

hours

of

labour

are

embodied,

less

than

12s.,

if

12s.

is

the

money

expression

for

24

hours

of

realised

labour.

In

our

former

assumption,

according

to

which

6

working

hours

are

daily

necessary

in

order

to

reproduce

the

labour-power

itself

or

to

replace

the

value

of

the

capital

advanced

in

its

purchase,

a

variable

capital

of

1,500s.,

that

employs

500

labourers

at

a

rate

of

surplus-value

of

100%

with

a

12

hours'working

day,

produces

daily

a

surplus-value

of

1,500s.or

of

6

×

500

working

hours.

A

capital

of

300s.

that

employs

100

labourers

a

day

with

a

rate

of

surplus

value

of

200%

or

with

a

working

day

of

18

hours,produces

only

a

mass

of

surplus-value

of

600s.

or

12×

100

working

hours;

and

its

total

value-product,

the

equivalent

of

the

variable

capital

advanced

plus

the

surplus-value,

can,

day

in,

day

out,

never

reach

the

sum

of

1,200s.

or

24

×

100

working

hours.

The

absolute

limit

of

the

average

working

day

this

being

by

nature

always

less

than

24

hours

sets

an

absolute

limit

to

the

compensation

of

a

reduction

of

variable

capital

by

a

higher

rate

of

surplus-value,

or

of

the

decrease

of

the

number

of

labourers

exploited

by

a

higher

degree

of

exploitation

of

labour-power.

This

palpable

law

is

of

importance

for

the

clearing

up

of

many

phenomena,arising

from

a

tendency

(to

be

worked

out

later

on)

of

capital

to

reduce

as

much

as

possible

the

number

of

labourers

employed

by

it,

or

its

variable

constituent

transformed

into

labour-power,

in

contradiction

to

its

other

tendency

to

produce

the

greatest

possible

mass

of

surplus-value.

On

the

other

hand,

if

the

mass

of

labour-power

employed,

or

the

amount

of

variable

capital,

increases,

but

not

in

proportion

to

the

fall

in

the

rate

of

surplus-value,

the

mass

of

the

surplus-value

produced,

falls.

A

third

law

results

from

the

determination,

of

the

mass

of

the

surplus-value

produced,

by

the

two

factors:

rate

of

surplus-value

and

amount

of

variable

capital

advanced.

The

rate

of

surplus-value,

or

the

degree

of

exploitation

of

labour-power,

and

the

value

of

labour-power,

or

the

amount

of

necessary

working

time

being

given,

it

is

self

evident

that

the

greater

the

variable

capital,

the

greater

would

be

the

mass

of

the

value

produced

and

of

the

surplus-value.

If

the

limit

of

the

working

day

is

given,

and

also

the

limit

of

its

necessary

constituent,

the

mass

of

value

and

surplus

value

that

an

individual

capitalist

produces,

is

clearly

exclusively

dependent

on

the

mass

of

labour

that

he

sets

in

motion.

But

this,

under

the

conditions

supposed

above,

depends

on

the

mass

of

labour-power,

or

the

number

of

labourers

whom

he

exploits,

and

this

number

in

its

turn

is

determined

by

the

amount

of

the

variable

capital

advanced.

With

a

given

rate

of

surplus-value,

and

a

given

value

of

labour-power,therefore,

the

masses

of

surplus-value

produced

vary

directly

as

the

amounts

of

the

variable

capitals

advanced.

Now

we

know

that

the

capitalist

divides

his

capital

into

two

parts.

One

part

he

lays

out

in

means

of

production.

This

is

the

constant

part

of

his

capital.

The

other

part

he

lays

out

in

living

labour-power.

This

part

forms

his

variable

capital.

On

the

basis

of

the

same

mode

of

social

production,

the

division

of

capital

into

constant

and

variable

differs

in

different

branches

of

production,

and

within

the

same

branch

of

production,too,

this

relation

changes

with

changes

in

the

technical

conditions

and

in

the

social

combinations

of

the

processes

of

production.

But

in

whatever

proportion

a

given

capital

breaks

up

into

a

constant

and

a

variable

part,

whether

the

latter

is

to

the

former

as

1:2

or

1:10

or

1:x,

the

law

just

laid

down

is

not

affected

by

this.For,

according

to

our

previous

analysis,

the

value

of

the

constant

capital

reappears

in

the

value

of

the

product,

but

does

not

enter

into

the

newly

produced

value,

the

newly

created

value

product.

To

employ

1,000

spinners,

more

raw

material,

spindles,

&c.,

are,of

course,

required,

than

to

employ

100.

The

value

of

these

additional

means

of

production

however

may

rise,

fall,

remain

unaltered,

be

large

or

small;it

has

no

influence

on

the

process

of

creation

of

surplus-value

by

means

of

the

labour-powers

that

put

them

in

motion.

The

law

demonstrated

above

now,therefore,

takes

this

form:

the

masses

of

value

and

of

surplus-value

produced

by

different

capitals

the

value

of

labour-power

being

given

and

its

degree

of

exploitation

being

equal

vary

directly

as

the

amounts

of

the

variable

constituents

of

these

capitals,

i.e.,as

their

constituents

transformed

into

living

labour

power.

This

law

clearly

contradicts

all

experience

based

on

appearance.

Everyone

knows

that

a

cotton

spinner,who,

reckoning

the

percentage

on

the

whole

of

his

applied

capital,

employs

much

constant

and

little

variable

capital,

does

not,

on

account

of

this,

pocket

less

profit

or

surplus-value

than

a

baker,

who

relatively

sets

in

motion

much

variable

and

little

constant

capital.For

the

solution

of

this

apparent

contradiction,

many

intermediate

terms

are

as

yet

wanted,

as

from

the

standpoint

of

elementary

algebra

many

intermediate

terms

are

wanted

to

understand

that

0\/0

may

represent

an

actual

magnitude.

Classical

economy,

although

not

formulating

the

law,

holds

instinctively

to

it,

because

it

is

a

necessary

consequence

of

the

general

law

of

value.

It

tries

to

rescue

the

law

from

collision

with

contradictory

phenomena

by

a

violent

abstraction.

It

will

be

seen

later2how

the

school

of

Ricardo

has

come

to

grief

over

this

stumbling

block.

Vulgar

economy

which,

indeed,

\"has

really

learnt

nothing,\"

here

as

everywhere

sticks

to

appearances

in

opposition

to

the

law

which

regulates

and

explains

them.

In

opposition

to

Spinoza,

it

believes

that

\"ignorance

is

a

sufficient

reason.\"

The

labour

which

is

set

in

motion

by

the

total

capital

of

a

society,

day

in,

day

out,

may

be

regarded

as

a

single

collective

working

day.

If,

e.g.,

the

number

of

labourers

is

a

million,

and

the

average

working

day

of

a

labourer

is

10

hours,

the

social

working

day

consists

of

ten

million

hours.

With

a

given

length

of

this

working

day,

whether

its

limits

are

fixed

physically

or

socially,

the

mass

of

surplus-value

can

only

be

increased

by

increasing

the

number

of

labourers,

i.e.,of

the

labouring

population.

The

growth

of

population

here

forms

the

mathematical

limit

to

the

production

of

surplus-value

by

the

total

social

capital.

On

the

contrary,

with

a

given

amount

of

population,

this

limit

is

formed

by

the

possible

lengthening

of

the

workingday.3It

will,

however,

be

seen

in

the

followingchapter

that

this

law

only

holds

for

the

form

of

surplus-value

dealt

with

up

to

the

present.

From

the

treatment

of

the

production

of

surplus

value,

so

far,

it

follows

that

not

every

sum

of

money,or

of

value,

is

at

pleasure

transformable

into

capital.To

effect

this

transformation,

in

fact,

a

certain

minimum

of

money

or

of

exchange-value

must

be

presupposed

in

the

hands

of

the

individual

possessor

of

money

or

commodities.

The

minimum

of

variable

capital

is

the

cost

price

of

a

single

labour-power,employed

the

whole

year

through,

day

in,

day

out,for

the

production

of

surplus-value.

If

this

labourer

were

in

possession

of

his

own

means

of

production,and

were

satisfied

to

live

as

a

labourer,

he

need

not

work

beyond

the

time

necessary

for

the

reproduction

of

his

means

of

subsistence,

say

8

hours

a

day.

He

would,

besides,

only

require

the

means

of

production

sufficient

for

8

working

hours.

The

capitalist,

on

the

other

hand,

who

makes

him

do,

besides

these

8

hours,say

4

hours'

surplus

labour,

requires

an

additional

sum

of

money

for

furnishing

the

additional

means

of

production.

On

our

supposition,

however,

he

would

have

to

employ

two

labourers

in

order

to

live,

on

the

surplus-value

appropriated

daily,

as

well

as,

and

no

better

than

a

labourer,

i.e.,

to

be

able

to

satisfy

his

necessary

wants.

In

this

case

the

mere

maintenance

of

life

would

be

the

end

of

his

production,

not

the

increase

of

wealth;

but

this

latter

is

implied

in

capitalist

production.

That

he

may

live

only

twice

as

well

as

an

ordinary

labourer,

and

besides

turn

half

of

the

surplus-value

produced

into

capital,

he

would

have

to

raise,

with

the

number

of

labourers,

the

minimum

of

the

capital

advanced

8

times.

Of

course

he

can,

like

his

labourer,

take

to

work

himself,

participate

directly

in

the

process

of

production,

but

he

is

then

only

a

hybrid

between

capitalist

and

labourer,

a

\"small

master.\"A

certain

stage

of

capitalist

production

necessitates

that

the

capitalist

be

able

to

devote

the

whole

of

the

time

during

which

he

functions

as

a

capitalist,

i.e.,

as

personified

capital,

to

the

appropriation

and

therefore

control

of

the

labour

of

others,

and

to

the

selling

of

the

products

of

this

labour.4The

guilds

of

the

middle

ages

therefore

tried

to

prevent

by

force

the

transformation

of

the

master

of

a

trade

into

a

capitalist,

by

limiting

the

number

of

labourers

that

could

be

employed

by

one

master

within

a

very

small

maximum.

The

possessor

of

money

or

commodities

actually

turns

into

a

capitalist

in

such

cases

only

where

the

minimum

sum

advanced

for

production

greatly

exceeds

the

maximum

of

the

middle

ages.

Here,

as

in

natural

science,

is

shown

the

correctness

of

the

law

discovered

by

Hegel(in

his

\"Logic\"),

that

merely

quantitative

differences

beyond

a

certain

point

pass

into

qualitative

changes.5

The

minimum

of

the

sum

of

value

that

the

individual

possessor

of

money

or

commodities

must

command,in

order

to

metamorphose

himself

into

a

capitalist,changes

with

the

different

stages

of

development

of

capitalist

production,

and

is

at

given

stages

different

in

different

spheres

of

production,

according

to

their

special

and

technical

conditions.

Certain

spheres

of

production

demand,

even

at

the

very

outset

of

capitalist

production,

a

minimum

of

capital

that

is

not

as

yet

found

in

the

hands

of

single

individuals.This

gives

rise

partly

to

state

subsidies

to

private

persons,

as

in

France

in

the

time

of

Clobber,

and

as

in

many

German

states

up

to

our

own

epoch,

partly

to

the

formation

of

societies

with

legal

monopoly

for

the

exploitation

of

certain

branches

of

industry

and

commerce,

the

forerunners

of

our

modern

joint

stock

companies.6

Within

the

process

of

production,

as

we

have

seen,capital

acquired

the

command

over

labour,

i.e.,

over

functioning

labour-power

or

the

labourer

himself.Personified

capital,

the

capitalist

takes

care

that

the

labourer

does

his

work

regularly

and

with

the

proper

degree

of

intensity.

Capital

further

developed

into

a

coercive

relation,which

compels

the

working

class

to

do

more

work

than

the

narrow

round

of

its

own

life-wants

prescribes.As

a

producer

of

the

activity

of

others,

as

a

pumper

out

of

surplus

labour

and

exploiter

of

labour-power,

it

surpasses

in

energy,

disregard

of

bounds,

recklessness

and

efficiency,

all

earlier

systems

of

production

based

on

directly

compulsory

labour.

At

first,

capital

subordinates

labour

on

the

basis

of

the

technical

conditions

in

which

it

historically

finds

it.

It

does

not,

therefore,

change

immediately

the

mode

of

production.

The

production

of

surplus-value

in

the

form

hitherto

considered

by

us

by

means

of

simple

extension

of

the

working

day,

proved,

therefore,

to

be

independent

of

any

change

in

the

mode

of

production

itself.

It

was

not

less

active

in

the

old-fashioned

bakeries

than

in

the

modern

cotton

factories.

If

we

consider

the

process

of

production

from

the

point

of

view

of

the

simple

labour

process,

the

labourer

stands

in

relation

to

the

means

of

production,not

in

their

quality

as

capital,

but

as

the

mere

means

and

material

of

his

own

intelligent

productive

activity.In

tanning,

e.g.,

he

deals

with

the

skins

as

his

simple

object

of

labour.

It

is

not

the

capitalist

whose

skin

he

tans.

But

it

is

different

as

soon

as

we

deal

with

the

process

of

production

from

the

point

of

view

of

the

process

of

creation

of

surplus-value.

The

means

of

production

are

at

once

changed

into

means

for

the

absorption

of

the

labour

of

others.

It

is

now

no

longer

the

labourer

that

employs

the

means

of

production,

but

the

means

of

production

that

employ

the

labourer.

Instead

of

being

consumed

by

him

as

material

elements

of

his

productive

activity,

they

consume

him

as

the

ferment

necessary

to

their

own

life-process,

and

the

life-process

of

capital

consists

only

in

its

movement

as

value

constantly

expanding,constantly

multiplying

itself.

Furnaces

and

workshops

that

stand

idle

by

night,

and

absorb

no

living

labour,are

\"a

mere

loss\"

to

the

capitalist.

Hence,

furnaces

and

workshops

constitute

lawful

claims

upon

the

night

labour

of

the

work-people.

The

simple

transformation

of

money

into

the

material

factors

of

the

process

of

production,

into

means

of

production,

transforms

the

latter

into

a

title

and

a

right

to

the

labour

and

surplus

labour

of

others.

An

example

will

show,

in

conclusion,how

this

sophistication,

peculiar

to

and

characteristic

of

capitalist

production,

this

complete

inversion

of

the

relation

between

dead

and

living

labour,

between

value

and

the

force

that

creates

value,

mirrors

itself

in

the

consciousness

of

capitalists.

During

the

revolt

of

the

English

factory

lords

between

1848

and

1850,\"the

head

of

one

of

the

oldest

and

most

respectable

houses

in

the

West

of

Scotland,

Messrs.

Carlile

Sons

&

Co.,

of

the

linen

and

cotton

thread

factory

at

Paisley,

a

company

which

has

now

existed

for

about

a

century,

which

was

in

operation

in

1752,

and

four

generations

of

the

same

family

have

conducted

it\"

...this

\"very

intelligent

gentleman\"

then

wrote

a

letter7in

the

Glasgow

Daily

Mail

of

April

25th,

1849,

with

the

title,

\"The

relay

system,\"

in

which

among

other

things

the

following

grotesquely

nave

passage

occurs:

\"Let

us

now

...

see

what

evils

will

attend

the

limiting

to

10

hours

the

working

of

the

factory....

They

amount

to

the

most

serious

damage

to

the

millowner's

prospects

and

property.

If

he

(i.e.,

his

\"hands\")

worked

12

hours

before,

and

is

limited

to

10,

then

every

12

machines

or

spindles

in

his

establishment

shrink

to

10,

and

should

the

works

be

disposed

of,

they

will

be

valued

only

as

10,

so

that

a

sixth

part

would

thus

be

deducted

from

the

value

of

every

factory

in

the

country.\"8

To

this

West

of

Scotland

bourgeois

brain,

inheriting

the

accumulated

capitalistic

qualities

of

\"four

generations,\"

the

value

of

the

means

of

production,spindles,

&c.,

is

so

inseparably

mixed

up

with

their

property,

as

capital,

to

expand

their

own

value,

and

to

swallow

up

daily

a

definite

quantity

of

the

unpaid

labour

of

others,

that

the

head

of

the

firm

of

Carlile&

Co.

actually

imagines

that

if

he

sells

his

factory,not

only

will

the

value

of

the

spindles

be

paid

to

him,but,

in

addition,

their

power

of

annexing

surplus

value,

not

only

the

labour

which

is

embodied

in

them,and

is

necessary

to

the

production

of

spindles

of

this

kind,

but

also

the

surplus

labour

which

they

help

to

pump

out

daily

from

the

brave

Scots

of

Paisley,

and

for

that

very

reason

he

thinks

that

with

the

shortening

of

the

working

day

by

2

hours,

the

selling-price

of

12

spinning

machines

dwindles

to

that

of

10!

NOTES:

1This

elementary

law

appears

to

be

unknown

to

the

vulgar

economists,

who,

upside-down

Archimedes,

in

the

determination

of

the

market-price

of

labour

by

supply

and

demand,

imagine

they

have

found

the

fulcrum

by

means

of

which,

not

to

move

the

world,

but

to

stop

its

motion.

2Further

particulars

will

be

given

in

Book

IV.

3\"The

Labour,

that

is

the

economic

time,

of

society,

is

a

given

portion,

say

ten

hours

a

day

of

a

million

of

people,or

ten

million

hours....

Capital

has

its

boundary

of

increase.This

boundary

may,

at

any

given

period,

be

attained

in

the

actual

extent

of

economic

time

employed.\"

(\"An

Essay

on

the

Political

Economy

of

Nations.\"

London,

1821,

pp.

47,

49.)

4\"The

farmer

cannot

rely

on

his

own

labour,

and

if

he

does,

I

will

maintain

that

he

is

a

loser

by

it.

His

employment

should

be

a

general

attention

to

the

whole:

his

thresher

must

be

watched,

or

he

will

soon

lose

his

wages

in

corn

not

threshed

out,

his

mowers,

reapers,

&c.,

must

be

looked

after;

he

must

constantly

go

round

his

fences;

he

must

see

there

is

no

neglect;which

would

be

the

case

if

he

was

confined

to

any

one

spot.\"(\"An

Inquiry

into

the

Connexion

between

the

Present

Price

of

Provisions

and

the

Size

of

Farms,

&c.

By

a

Farmer.\"

London,1773,

p.

12.)

This

book

is

very

interesting.

In

it

the

genesis

of

the

\"capitalist

farmer\"

or

\"merchant

farmer,\"

as

he

is

explicitly

called,

may

be

studied,

and

his

self-glorification

at

the

expense

of

the

small

farmer

who

has

only

to

do

with

bare

subsistence,be

noted.

\"The

class

of

capitalists

are

from

the

first

partially,and

they

become

ultimately

completely,

discharged

from

the

necessity

of

the

manual

labour.\"

(\"Textbook

of

Lectures

on

the

Political

Economy

of

Nations.

By

the

Rev.

Richard

Jones.\"Hertford

1852.

Lecture

III.,

p.

39.)

5The

molecular

theory

of

modern

chemistry

first

scientifically

worked

out

by

Laurent

and

Gerhardt

rests

on

no

other

law.

(Addition

to

3rd

Edition.)

For

the

explanation

of

this

statement,

which

is

not

very

clear

to

non-chemists,

we

remark

that

the

author

speaks

here

of

the

homologous

series

of

carbon

compounds,

first

so

named

by

C.

Gerhardt

in

1843,each

series

of

which

has

its

own

general

algebraic

formula.Thus

the

series

of

paraffins:

CnH2n 2,

that

of

the

normal

alcohols:

CnH2n 2O;

of

the

normal

fatty

acids:

CnH2nO2

and

many

others.

In

the

above

examples,

by

the

simply

quantitative

addition

of

CH2

to

the

molecular

formula,

a

qualitatively

different

body

is

each

time

formed.

On

the

share

(overestimated

by

Marx)

of

Laurent

and

Gerhardt

in

the

determination

of

this

important

fact

see

Kopp,

\"Entwicklung

der

Chemie.\"Munchen,

1873,

pp.

709,

716,

and

Schorkmmer,

\"The

Rise

and

Development

of

Organic

Chemistry.\"

London,

1879,

p.

54.

F.

E..

See

Letter

from

Marx

to

Engels,

22

June

1867

For

Hegel's

formulation

of

the

idea

in

the

Logic,

see

Remark:Examples

of

Such

Nodal

Lines;

the

Maxim,

'Nature

Does

Not

Make

Leaps'.

6Martin

Luther

calls

these

kinds

of

institutions:

\"The

Company

Monopolia.\"

7Reports

of

Insp.

of

Fact.,

April

30th,

1849,

p.

59.

8l.c.,

p.

60.

Factory

Inspector

Stuart,

himself

a

Scotchman,and

in

contrast

to

the

English

Factory

Inspectors,

quite

taken

captive

by

the

capitalistic

method

of

thinking,

remarks

expressly

on

this

letter

which

he

incorporates

in

his

report

that

it

is

\"the

most

useful

of

the

communications

which

any

of

the

factory-owners

working

with

relays

have

given

to

those

engaged

in

the

same

trade,

and

which

is

the

most

calculated

to

remove

the

prejudices

of

such

of

them

as

have

scruples

respecting

any

change

of

the

arrangement

of

the

hours

of

work.\"

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