The Universal & Atomic Elements of Organization
A falsifiable scientific theory proposing that the same irreducible structures organize both thought and reality — from the quantum to the social scale.
O-Theory proposes that four irreducible structures — Distinctions, Systems, Relationships and Perspectives (DSRP) — form the universal grammar of organization. Rather than being merely useful ways of thinking, these structures are hypothesized to be the atomic elements from which every organized phenomenon emerges, whether in cognition, biology, physics, mathematics, society, or the cosmos.
| D | S | R | P |
| Distinctions | Systems | Relationships | Perspectives |
| Identity ↔ Other | Part ↔ Whole | Action ↔ Reaction | Point ↔ View |
| D := (i ↔ o) | S := (p ↔ w) | R := (a ↔ r) | P := (ṗ ↔ v) |
This is a living scientific evidence compendium: an open, continually evolving collection of independent empirical research, formal theory, mathematical proofs, cross-disciplinary analyses, applications, critiques, and proposed falsifications. Every entry is included because it supports, refines, challenges, or attempts to falsify the theory.
Scientific theories are strengthened not only by evidence that confirms their predictions, but also by surviving attempts to falsify them. This compendium brings both together: independent evidence from researchers who were not testing DSRP and proposed counterexamples evaluated against the formal theory.
One counterexample is enough to falsify O-Theory. Until then, the question remains: do the same four structures organize everything from quantum systems to human thought?
Independent convergence is one of the strongest forms of scientific evidence because researchers arrive at the same conclusion while investigating different questions for different reasons.
The number is not the point. Researchers in different fields, studying different questions with different methods, repeatedly arrived at the same structural predictions—almost always without testing DSRP or using its language.
Try a different term or clear the filters.
This compendium began as the peer-reviewed literature review “A Literature Review of the Universal and Atomic Elements of Complex Cognition,” published in the Journal of Systems Thinking with 109 studies. That paper is the peer-reviewed foundation. What you see here is its living, continuously updated version . New studies are checked before they are added, and the collection now holds and keeps growing. Open any card to see what the researchers found, why it bears on DSRP, and where the original review discusses it, the fuller account.
The collection is updated continuously, so the citation carries the date you consulted it rather than a study count — the count changes weekly, and putting it in the reference would make the same collection look like a different work to everyone who cites it. To cite a single claim or study, use its own address: every one has a permanent link.
This is the adversarial half of the compendium. Where the evidence track asks what converges on DSRP, this one asks what would end it: a single organized phenomenon whose structure needs a fifth pattern, a ninth element, or a fifth structural dynamic. It holds written up from candidates across territories, and resolutions — the general answers those cases settle against. Every case is published whether it held or failed, including the ones still open.
Cite this rather than the evidence collection when the point is what survived attack. The two are separate works with separate addresses: one asks what converges on the theory, the other asks what would end it, and a reference to the first does not support a claim about the second. Case and resolution numbers change when the record is revised, so cite a case by its own permanent link rather than by number.
This collection is meant to keep growing. Send us a study, paper, book or critique that bears on DSRP, whether it supports the theory or cuts against it, and we will read it and decide whether it belongs.
Authors Leonhard Euler
Year 1736
Publisher Commentarii academiae scientiarum Petropolitanae
Discipline Mathematics
Seven Bridges Problem
Created network theory.
Nodes in network theory are representative of identities.
Leonhard Euler incidentally discovered graph theory and spawned modern day network theory during his effort to solve one of the perplexing problems of 18th century Prussian society. In the “Seven Bridges of Königsberg” problem, there are two islands connected to the mainland by seven bridges. The problem was to determine if it was possible to go on a walk through the city that crossed each of the seven bridges once and only once. Euler, using the power of abstraction, discovered that the Königsberg problem had no solution but in doing so he launched modern network theory.
Today networks are a ubiquitous modeling tool that crosses the physical, natural, and social sciences, as well as business and commerce. Networks are both ubiquitous structures in nature and powerful tools of the mind for understanding nature better. Figure 2 illustrates a sampling of such networks: (left to right, top to bottom) abstract, political, food web, corruption, ecological, computer, corporate, disease,
conceptual, terrorism, social, and human trafficking. Taking Euler’s cue on the value of abstraction, what we see across all of these networks is simply that there are things, which are called nodes in network theory. Nodes represent things (identities) of all shapes and sizes, from abstract ideas, to people, to groups of people, animals, corporations, words, computers, terrorists, senators, and so on. If it’s a thing, it can be a node. In short, networks—both in the real world and in our mind are made up of things (identities) represented as nodes in the network. The nodes exist with other nodes, which they are differentiated from by virtue of their own nodeness. Those other nodes provide the backdrop or context for any individual node (identity). Indeed, in any given network, in order to fully define any given node, one must not only identify that node’s (label, name, status, etc) but also that of the other nodes it is with. Thus, the other nodes provide context for the node itself, and this occurs simultaneously for all nodes in the network.
DSRP Theory advances modern day network theory by offering a complete definition of any given node: what the node is (it’s distinguishing characteristics, ID, label, position, etc.) and also what the node isn’t (i.e., the other nodes it is with). This is critically important, because, as you will see, the mind does not merely form concepts based only on positive affirmations of a thing, but also on the negation of a thing. A car is not-a-duck and also not-a-refrigerator, but closer to its definition, it is also not-a-truck. The concepts we form exist within a network of similar and different concepts and are heavily dependent on the affirmation of identity but also the negation of it.
Patterns it shows D
How to cite this Leonhard Euler (1736). The solution of a problem relating to the geometry of position. Commentarii academiae scientiarum Petropolitanae.