Category Archives: Metaphysics

fourfolds, linear logic, Metaphysics, Philosophy

Monism = Pluralism

November 5, 2010 Martin K. Jones Leave a comment

PLURALISM = MONISM

– From A Thousand Plateaus by Deleuze and Guattari

Jeffrey Bell’s blog entry about William James’ radical empiricism reveals relations between Hjelmslev’s Net and Linear Logic. To begin with, Hume was concerned with disjunctive relations (of expression) to the exclusion of conjunctive relations (of content). In addition, James sought the solution to the problem that consciousness (here content) has between the “one and the many”, one consciousness in relation to many consciousnesses. Unable to resolve this problem, James did not realize that conjunction can come in two modes, an additive one and a multiplicative one, a substance and a form.

The substance of content (here consciousness, agency, …) is constituted incrementally from choices between actions, either thoughts (thoughts-as-action) or actual actions (actions-as-action). This is additive AND. The form of content (essence, existence) is assembled by the ordering of those choices, a multiple choice of choices. This is multiplicative AND. These are the powers of AND.

However, Hume’s disjunction (expression) also comes in two flavors: additive and multiplicative (substance and form). It also has a problem with the “one and the many”. The substance of expression is either identity or generation (accident, substance). This is additive OR. The form of expression doesn’t seem like much in Linear Logic, but it is the very form of the logic, invertible with the connective tissue of the calculus (the comma). This is multiplicative OR. These are the powers of OR.

Content and expression are dual to each other, as conjunction is logically dual to disjunction. Is content the “subjective” and expression the “objective”? Is substance the “one” and form the “many”? Each is dual to the other, not distinguishable except by perspective. Perhaps these double duals are like a Mobius Strip, which only has one side, weaving in and out and forming a unity out of multiplicity.

Note that the elements of the double dual shown here are taken from the Protreptikos page “Monism and Pluralism”. The fourfold is made up of different “compositions in being”, each in two parts. There are many echoes to other double duals in these compositions, such as potency/actuality (existence) and substance/form.

References:

Gilles Deleuze and Felix Guattari / A Thousand Plateaus: capitalism and schizophrenia

http://schizosoph.wordpress.com/2010/08/11/monism-pluralism/

The Here and the Now

August 11, 2010 Martin K. Jones 4 Comments

Whosoever speculated on these four things, it were better for him if he had not come into the world —

what is above?
what is beneath?
what was beforetime?
and what will be hereafter?

— From the Mishnah (Hagigah 2:1)

All things have a root and a top; all events an end and a beginning. Whoever understands correctly what comes first and what follows draws nearer the Dao.

— From T’ai Hioh by Confucius

As above, so below.

— From The Emerald Tablet

I like these quotes because they show that Above, Below, Before and After are linked together. The first quote gives a warning about thinking about these concepts, but the second, encouragement. Above and below, or higher and lower, can be thought of as directions in space, but also as terms of hierarchy. Before and after can be thought of as directions in time, but also as beginnings and endings, causes and results.

Every individual is situated in space and time (see SpaceTime). Every perspective is due to expression and content (see Hjelmslev’s Net). Here is space, now is time.

References:

http://en.wikipedia.org/wiki/Emerald_Tablet

[*5.160, *6.30]

alchemy, fourfolds, Metaphysics, ontology, Philosophy

The Four Elements of Empedocles

July 21, 2010 Martin K. Jones 27 Comments

Into this wilde Abyss,
The Womb of nature and perhaps her Grave,
Of neither Sea, nor Shore, nor Air, nor Fire,
But all these in their pregnant causes mixt
Confus’dly, and which thus must ever fight,
Unless th’ Almighty Maker them ordain
His dark materials to create more Worlds,
Into this wilde Abyss the warie fiend
Stood on the brink of Hell and look’d a while,
Pondering his Voyage; for no narrow frith
He had to cross.

— From Paradise Lost by John Milton

The Four Elements of Empedocles is one of the earliest ontologies. While not of special interest in itself (except of course to alchemy), other double duals are comparable to it, such as the The Here and the Now and Heidegger’s Fourfold. Additionally, it is interesting to remember that it was thought that the four elements were the primitives of which everything is composed; for example bone was fire, air, water, and earth blended in a certain proportion. I am unsure of the origin of the choice of the elements: why these four and not others?

Also, note that with respect to light transmission, the four elements can be arranged in the sequence of bright, light, dim, and dark. This is not to say that fire is “good” and earth “bad”, or that fire and earth are the most different from each other. Perhaps this distinction will have some meaning later.

[*5.188, *6.32, *6.56, *7.194]

fourfolds, Metaphysics, Philosophy

Ken Wilber’s AQAL

June 10, 2010 Martin K. Jones 5 Comments

References:

http://en.wikipedia.org/wiki/Ken_Wilber

https://malankazlev.com/kheper/topics/Wilber/Wilber_IV.html

http://tetrast4.blogspot.com/2008/12/wilber.html

[*5.190-*5.192, *6.58]

fourfolds, linear logic, Metaphysics, Philosophy

Whitehead’s Criteria for Metaphysical Theories

May 21, 2010 Martin K. Jones 5 Comments

Note that consistency and coherency are considered rational, and that applicability and adequacy are considered empirical. This has importance for Heideggar’s Fourfold since the rational is revealed, and the empirical is concealed. For Linear Logic, additive conjunction and multiplicative disjunction are reversible, yet additive disjunction and multiplicative conjunction are irreversible.

References:

Alfred North Whitehead / Process and Reality

Frederick Ferre / Being and Value: toward a constructive postmodern metaphysics

Mark Graves / Mind, Brain, and Elusive Soul: human systems of cognitive science and religion

Paul Reid-Bowen / Goddess as Nature: towards a philosophical theology

[*6.12, *6.70]

fourfolds, Metaphysics, object oriented philosophy, ontology, Philosophy

Heidegger’s Fourfold (das Geviert)

May 4, 2010 Martin K. Jones 9 Comments

We are too late for the gods and too early for Being. Being’s poem, just begun, is man.

— From Thinker as Poet by Martin Heidegger

“Every man makes a god of his own desire.”

— Virgil

Note that Heidegger’s Fourfold is a perfect schema for the Tower of Babel: while mortals strive to join the earth and sky, the gods undo their efforts by turning their unity into multiplicity.

References:

Graham Harman / Tool-Being: Heidegger and the Metaphysics of Objects

http://en.wikipedia.org/wiki/Speculative_realism

http://culturalstudiesnow.blogspot.com/2011/05/martin-heidegger-building-dwelling.html

http://avoidingthevoid.wordpress.com/2009/10/28/heating-up-the-transmutations-of-media-beings-part-1/

Also:

Andrew J. Mitchell / The Fourfold: Reading the Late Heidegger (Studies in Phenomenology and Existential Philosophy)

https://jeanpaulmartinon.net/martin-heideggers-gods/

[*6.2, *6.3, *6.56, *6.62, *9.163]