D'Alembert's Dream

Diderot's 1769 work containing the hypothesis that sensitivity is a common property of matter.

Extracted from this book

Claims (33)

A center becomes precious because it is helping some larger center to exist and have life. This preciousness is the vital core of every center.
Defines the qualitative shift from neutral space to living center.
Each center gets its life, always, from the fact that it is helping to support and enliven some larger center.
The fundamental recursive rule of living centers.
Function is simply the dynamic aspect of wholeness.
Reinterprets function not as a list of goals but as the harmony of moving centers.
Good and functional structures achieve their quality from a conscious effort by the maker to make the geometric field of centers.
Challenges the 'form follows function' dogma; asserts that creators aimed at beauty first.
If we start with a geometrical attitude in which we try to make a field of centers everywhere, this establishes a kind of seed-bed for practical functions.
Generalisation that geometric life creates the best conditions for functional success.
In a well-made chisel, the geometric centers correspond exactly to the centers of action, and they help each other.
Illustrates how functional excellence is achieved through mutual intensification of centers.
In hundreds of examples, our ability to see the field of centers and to produce the centers indicated geometrically tends to produce an object which works better.
Empirical generalisation from built examples, with no counterexample found.
It is the space which comes to life. All that we do, as architects, is then to arrange and rearrange this living space, in such a way as to intensify its life.
Synthetic statement that architecture is the art of awakening space.
Life is really the primary thing, and the properties are really secondary.
Epistemological priority: the felt life of a center is more basic than the geometric properties that support it.
Life itself is a recursive effect which occurs in space. It can only be understood recursively as the mutual intensification of life by life.
Attempts to define life-in-space without external reference.
Most educated people do not see the wholeness of the world around them; words and learning distort perception.
Generalisation from the Radcliffe experiment, linking education to loss of holistic perception.
No building has real life unless it is deeply and robustly functional.
Opening assertion setting the stage for unified ornament-function.
Ornament and function are simply two versions of one more general phenomenon.
The conclusion of the argument that no real separation exists.
The beauty and force of any building arises always, and in its entirety, from the deep functional nature of the centers that have been created.
Core principle tying beauty directly to deeply functional centers.
The Cartesian dogma is violated by the idea that every part of space has some life, but experience itself is not violated by it.
Defends the life-of-space concept against the mechanistic worldview by appealing to direct experience.
The characteristic which most makes the community work, in human terms, is the presence of the beady-ring structure and the density of these beady-ring structures.
Interpretation of Hillier and Hanson's finding, asserting that social function is spatial center-configuration.
The compelling and driving force behind the Shakers' idea of the hanging chairs was the creation of the crown structure of centers with a pure spiritual light.
Rejects the purely mechanistic explanation of Shaker practicality; centers came first.
The electron's behavior is directly influenced by the wholeness of the experimental configuration.
Interpretation of the two-slit experiment using the framework of wholeness.
The fifteen properties, the field of centers, and the wholeness thoroughly and completely determine the way that buildings work.
Universality claim that the same geometric properties govern both beauty and function.
The life of any given center depends on the whole field of centers in which this center exists.
Key global property of the field of centers, making it non-local and unlike classical fields.
The life which appears is an attribute of space itself.
The final distillation of the chapter's argument, making life a fundamental property of matter/space.
The living room will work well, only when it is so shaped that the centers (core resting place, window place, etc.) are really strong and have life in themselves.
Practical design rule: comfort arises from the geometry of strong centers.
The mechanistic functional analysis is all a myth anyway, since there is no stopping in the endless regression of reasons for why something works.
Declares that traditional functional reasoning is ultimately arbitrary and groundless.
The people who built Tofuku-ji had made that place knowing that the blue dragonfly would come; there was a level of skill beyond anything I had experienced.
Personal experience affirming that the makers deliberately created a field of centers that integrated nature and building.
The pin-jointed base mainly deals with one function and nearly ignores the other seven; it gives 100% weight to restraint of horizontal forces and zero to leaning or forming a place.
Critique of narrow functionalism, showing that true life balances all functions through centers.
The relative degree of life is already there, in the computable, mathematical, structure of the space.
Affirmation that life is not merely subjective but an objective, calculable feature of space.
The Shaker box finger joint started as a formal intuition about the field of centers, and then gradually fitted itself to the functional problem at hand.
Example supporting the thesis that beauty precedes and leads to function.
The wholeness W is a feature of physical space which appears everywhere and is susceptible to a clear mathematical definition.
Asserts the formal tractability of wholeness.
There is nothing except the living structure of the world, and this living structure is all we need to reason with.
Radical assertion that function reduces to living structure, eliminating the need for external goals.
We can best assess function by assessing the degree of life in various centers.
Practical prescription for design: evaluate life instead of checking functional lists.
We do not currently possess any convenient mathematical representation of a recursive field like the field of centers.
Acknowledges that the bootstrap field is beyond current physics and mathematics.
We need to understand space as a material which is capable of awakening. This is what I shall later refer to as 'the ground'.
Introduces the concept of the ground as the innately alive substrate of reality.
When something works, or is functional, its space is awakened to a very high degree. It becomes alive. The space itself becomes alive.
Core thesis of the chapter: function is an awakening of the spatial medium.

Findings (7)

80% of Radcliffe students grouped black-and-white patterns by left-right reading, not by overall wholeness.
Experimental result showing that highly educated adults tend to ignore the wholeness of simple patterns.
c_symm fails to identify certain perceived centers (e.g., segment BWBB in pattern BWB...) and overestimates others.
Limitation of the symmetry measure, showing it is only an approximation to the true wholeness.
c_symm measure predicts the experimentally determined rank order of coherence for 35 patterns with high accuracy.
Quantitative result supporting the idea that local symmetry counting approximates perceived life in visual patterns.
Density of beady-ring structures correlates with higher human communication quality in Hillier & Hanson's study of village G.
Empirical finding from The Social Logic of Space showing that beady-ring structures are a key variable for community cohesion.
In the two-slit experiment, opening slit 2 changes the arrival pattern of electrons going through slit 1.
The canonical quantum mechanics result demonstrating that particle behaviour is governed by the entire experimental configuration, not just local interactions.
More than half of subjects shifted to holistic grouping after high-speed search training.
Experimental result demonstrating that unfocused perception can be trained and restores the ability to see wholeness.
Salingaros's L measure yields approximate life scores: Alhambra 90, Hagia Sophia 80, TWA terminal 6, Fallingwater 20, Seagram 8, Sydney Opera House 20.
Empirical computation showing that a simple arithmetic function roughly captures the perceived life of famous buildings.

Hypotheses (3)

Certain configurations of centers have such organizing force that they create entirely new levels of intensity within the centers themselves and utterly transmute the material character of space.
Suggests that sufficiently intense fields of centers transcend ordinary matter.
Sensitivity as a property common to all matter or as a result of the organization of matter (Diderot's hypothesis).
A simple hypothesis that explains everything, contrasted with the mechanistic view that creates mysteries.
There exists a new type of physical field (the field of centers) whose intensity at each point is a function of the intensities at other points, making it self-dependent and recursive.
Proposed to explain how life can emerge from space itself.

Neighborhood — ranked by edge-count

Chapters (1)

chapter

Chapter 11: The Awakening of Space
cites
The chapter presents the unity of ornament and function, arguing that all function is derived from living centers in space, and introduces the idea of space itself having varying degrees of life.