Against Totalitarianism -- Introduction to Tractatus Quanticum

Technical Summary: Introduction to Tractatus Quanticum

Problem
The paper addresses the philosophical and structural limitations of classical descriptions of reality, specifically the assumption that there exists a single, absolute, perspective-independent world "stocked with intrinsic properties" waiting to be discovered. This "totalitarian" view of reality—where the world is a fixed totality of facts independent of any observer—persists in both classical physics and traditional metaphysics. The authors identify a dual problem:

1. The Classical Illusion: The belief in a "god's-eye view" or an Archimedean point outside the world from which a complete, non-relational description of reality can be constructed.
2. The Quantum Challenge: While classical physics allowed for a "middle ground" where a shared public landscape of objects with intrinsic properties (mass, charge, position) existed despite varying observer perspectives, quantum mechanics (QM) dismantles this. QM suggests that facts are not perspective-independent but are relative to interactions between physical systems.

Methodology
The authors (Ismael and Price) act as commentators on a hypothetical text, Tractatus Quanticum (Covoni and Rovelli 2026), which they describe as a "re-editing" of Wittgenstein's Tractatus Logico-Philosophicus that incorporates quantum mechanics. Their methodology involves:

• Structural Parody: Adopting the numbered, austere proposition style of the original Tractatus to mirror the logical progression of the new text.
• Conceptual Mapping: Drawing parallels between Wittgenstein's "vanishing act" (the simultaneous disappearance of the world-as-totality and the self-as-subject) and the implications of QM.
• Philosophical Synthesis: Integrating the "perspectival" nature of QM with Wittgenstein's later views on language games (from Philosophical Investigations) to argue against the existence of a single, fixed totality of facts.
• Metaphorical Analysis: Utilizing parables (e.g., the spiders and the castle) and analogies (e.g., locomotive handles) to illustrate how the "web" of classical absolute reality is unnecessary for the structure of the world to stand.

Key Contributions
The paper outlines three primary arguments derived from Tractatus Quanticum:

1. The Collapse of the Non-Relational Core:
   Unlike classical physics, where different perspectives are variations on a single underlying reality, QM posits that there is no "view outside of a perspective." There is no triangulation possible to extract a public world of objects and properties. Reality is described as "perspectives on perspectives on perspectives." Facts are strictly relative to a physical system (a perspective) and its correlations with other systems.

2. The Dissolution of the Public/Private Distinction:
   The classical separation between a "private" inner world of experience and a "public" outer world of intrinsic properties is abolished. In this framework, a "perspective" is not a conscious mind but a physical system (e.g., a detector, a thermometer, a brain) standing in relations of correlation with other systems. Knowledge of another perspective is simply the physical coupling to it. Consequently, the distinction between "inner" and "outer" vanishes because both sides relied on the assumption of a perspective-independent reality.

3. Pluralism Against Totalitarianism via Language Games:
   The authors extend the critique to the nature of "facts" themselves. Drawing on Wittgenstein's later work, they argue that language is not limited to asserting facts (describing states of affairs) but includes diverse "language games" (questions, commands, warnings). If the world is defined as "everything that is the case," and if language games can generate new "facts" (e.g., "Tigers are dangerous" as a warning), then the world cannot be a fixed totality independent of human linguistic activity. The attempt to restrict "genuine facts" to physics fails because even physics (via probability and QM) relies on agent-relative perspectives.

Results
The paper concludes that Tractatus Quanticum successfully extends Wittgenstein's "self-immolatory" ambition. Just as the original Tractatus showed that the "Self" and the "World as Totality" are limits of language that cannot be spoken of, Tractatus Quanticum demonstrates that the "Absolute World" (a world of intrinsic properties independent of interaction) is a mirage.

• No Absolute Standpoint: There is no standpoint from which the world appears in non-relational form.
• No Intrinsic Properties: Variables like position, momentum, and spin do not possess values independent of interaction.
• No Common Object: There is no shared object behind the window that all perspectives look through; the "common object" is a mirage.

Significance
The paper claims that Tractatus Quanticum represents a "consequential move in the understanding of modern physics" by settling a philosophical question Wittgenstein could only approach obliquely. Its significance lies in:

• Dismantling Idols: It argues that philosophy's role is to show that certain questions (e.g., "What is the world like absolutely?") are meaningless because they rest on assumptions (the existence of a perspective-independent reality) that the structure of reality does not support.
• The End of the Galilean Dream: It suggests that quantum mechanics delivers the "final egg" of the Galilean distinction between primary (objective) and secondary (subjective) qualities. By showing that even the "primary" qualities of physics are perspective-relative, the theory ends the possibility of a "God's-eye view" of nature.
• Orientation: Like the original Tractatus, the work aims not to provide a doctrine but to orient the reader toward a way of being that recognizes the limits of propositional language and the reality of a world composed entirely of relative, transparent perspectives.

The authors emphasize that this is not a mystical claim but a physical and philosophical one: there are "perspectives – physical, partial, relative, transparent to each other because they are facts – all the way down."