Dialogues and Criticism
1. Anaximander's Apeiron
The earliest intuition that the ultimate ground is not a "thing" is found in Anaximander of Miletus (6th century BC), who proposed the ápeiron - the Unlimited, the Indeterminate - as arché of all things. THE ápeiron it is not a material element like water or air; it is a principle of indeterminacy, an infinite matrix from which pairs of opposites separate.
"The OCE radicalizes Anaximander's intuition: if the ápeiron it is indeterminate, so it cannot function as an ontological foundation. There is no principle prior to relationships; the real is constituted by the ongoing relationships themselves."
The decisive difference: Anaximander maintains the ápeiron as a transcendent source from which the manifold derives. OCE eliminates this transcendence - the universe does not emanate from a principle; it is the immanent network of interactions without an external soil.
2. Aristotle's Finite Cosmos
Aristotle, we treated Physical e Of Heaven, established the archetype of the object universe that dominated the Western imagination for more than a millennium. The Aristotelian cosmos is a finite and perfect sphere: bounded by the sphere of fixed stars, unified by natural teleology, identical to itself in its eternal cyclical movement.
Contact Points
- Aristotle recognizes that infinity (apeiron) cannot exist "in act".
- Objectivity requires limits - a body, by definition, has a surface.
Fundamental Divergence
The Aristotelian conclusion - that the universe is finite and perfectly bounded - is the opposite of the OCE thesis. Contemporary physics shows that the limit category does not apply to the total field. Limits are properties of things dentro of space-time.
3. As Antinomias de Kant
Immanuel Kant, na Critique of Pure Reason, faced the problem of cosmic totalization through the antinomies of pure reason. The First Antinomy places reason before two contradictory theses: the world is finite (Thesis) or infinite (Antithesis) in space and time - both apparently demonstrable.
The Kantian solution is brilliant: the world-universe is not an object of experience, but a Idea of Reason. It is a regulatory concept that pushes us to always seek previous conditions, without ever reaching totality.
"The OCE agrees with the Kantian diagnosis: the universe cannot be known as a total empirical object. But it disagrees with the transcendental location of the problem. The impossibility does not derive from a limit a priori of our cognitive faculty, but of a constitutive and material characteristic of reality itself."
For OCE, non-totalization is not a defect in our knowledge (a "transcendental illusion"), but a positive property of being. The universe exceeds totalization not because our reason is finite, but because its very relational nature is intrinsically open.
4. Contra o Absoluto Hegeliano
Hegel's absolute idealism represents the most ambitious attempt to restore totalization as a dynamic process. In Science of Logic by you Phenomenology of Spirit, the Absolute is not a static substance, but a Subject-Totality that determines itself through dialectics.
The OCE Refusal
- There is no Absolute: There is no cosmic Subject that is recognized through the historical process.
- There is no teleology: The universe does not follow a dialectic oriented towards the end of self-recognition; it obeys a thermodynamic arrow and an expansive dynamic without purpose.
- There is no final summary: The "contradiction" between the finite (observable) and the infinite (total potential) is not a dialectic to overcome, but a relational fact that characterizes the structure of reality.
The universe of contemporary cosmology is not a "Spirit that alienates and reconciles itself"; is a multiplicity of local configurations whose history does not project telos.
5. The Cosmological Dissolution
Twentieth-century cosmology did not offer a new model of the object universe; described the systematic failure of any attempt at objectification. This dissolution occurred in four fundamental acts:
The Four Acts of Dissolution
- 1917-1929 - Abandonment of the Static Universe: Einstein → Friedmann → Hubble. The universe is not a static container; It is an expanding process.
- Cosmological Principle and FLRW Metric: There is no privileged position, no center or periphery. The Big Bang was not an explosion at one point; it occurred everywhere simultaneously.
- 1981 - Cosmic Inflation (Guth): The observable universe is an infinitesimally small region of an immeasurably larger and, by causal principle, inaccessible total domain.
- 1998 - Accelerated Expansion (Riess, Perlmutter): The universe does not tend towards a static final state. Dark energy (68% of energy content) promotes accelerated dispersion.
Ontological Consequences
- Delimitation is impossible (relative horizons, indeterminate topology).
- Unification is problematic (hierarchy problem, dark matter/energy).
- Stable identity is illusory (irreversible evolution through distinct eras).
Observational Limitations
The question "Is the universe finite or infinite?" may not have a definitive observational answer. This indeterminacy is not a failure of knowledge, but a reflection of the fact that totality is causally inaccessible to us.
6. Reference Bibliography
Philosophical Primary Sources
- Aristotle. On the Heavens (From Caelo). Trad. W. K. C. Guthrie. Harvard University Press , 1939 .
- Aristotle. Physics. Trad. Robin Waterfield. Oxford University Press, 1996.
- Bruno, Giordano. Of the infinite, universe and worlds (1584). Ed. Giovanni Aquilecchia. Einaudi, 1998.
- Kant, Immanuel. Critique of Pure Reason (1781/1787). Trad. Paul Guyer e Allen W. Wood. Cambridge University Press, 1998.
- Hegel, G. W. F. Science of Logic. Trad. A. V. Miller. George Allen & Unwin, 1969.
- Plato. Timaeus. Trad. Donald J. Zeyl. Hackett Publishing, 2000.
Contemporary Cosmology
- Einstein, Albert. "Kosmologische Betrachtungen zur allgemeinen Relativitätstheorie." Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften, 1917.
- Friedmann, Alexander. "Über die Krümmung des Raumes." Zeitschrift für Physik 10, 1922.
- Hubble, Edwin. "A Relation between Distance and Radial Velocity among Extra-Galactic Nebulae." PNAS 15(3), 1929.
- Guth, Alan H. "Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems." Physical Review D 23(2), 1981.
- Riess, Adam G., et al. "Observational Evidence from Supernovae for an Accelerating Universe." The Astronomical Journal 116(3), 1998.
- Perlmutter, Saul, et al. "Measurements of Ω and Λ from 42 High-Redshift Supernovae." The Astrophysical Journal 517(2), 1999.
- Planck Collaboration. "Planck 2018 Results. VI. Cosmological Parameters." Astronomy & Astrophysics 641: A6, 2020.
History of Ideas
- Koyré, Alexandre. From the closed world to the infinite universe. Presses Universitaires de France, 1957.
- Diels, Hermann, e Walther Kranz, eds. Die Fragmente der Vorsokratiker. 6ª ed. Weidmann, 1951 - 1952.