Monday, 16 March 2026

The No Miracles Argument Fails: Why Empirical Success Does Not Require Ontological Independence

Abstract

The No Miracles Argument (NMA) is one of the central motivations for scientific realism. It claims that the empirical success of scientific theories would be miraculous unless those theories are (approximately) true descriptions of a mind-independent reality. This paper argues that the inference from empirical success to ontological independence is invalid. Empirical success does not entail that theoretical entities exist independently of observation, measurement, or conceptual framework. Alternative explanations of scientific success are logically coherent and, in light of modern physics—particularly quantum theory—philosophically more stable. The No Miracles Argument therefore fails to establish ontological independence as a requirement of scientific realism.


1. The Structure of the No Miracles Argument

The No Miracles Argument is typically presented as follows:

  1. Scientific theories are extraordinarily empirically successful.

  2. The best explanation of this success is that the theories are (approximately) true.

  3. Therefore, scientific theories are approximately true descriptions of a mind-independent reality.

The core intuition is straightforward: if our best scientific theories were not at least roughly true, their predictive success would be inexplicable. Their success would be a miracle.

Scientific realism is therefore often defended as the only non-miraculous explanation of scientific achievement.

However, this argument depends on substantive assumptions about explanation and ontology that require scrutiny.


2. What Empirical Success Actually Establishes

Empirical success means that:

  • A theory yields accurate predictions.

  • Its predictions are confirmed by observation and experiment.

  • It systematises and integrates observed data.

Importantly, empirical success concerns the alignment between theoretical structure and observational outcomes.

It does not, by itself, concern:

  • The independent existence of theoretical entities.

  • The metaphysical status of unobserved structures.

  • The ontology of reality beyond empirical access.

Thus, empirical success is an epistemic property of theory–observation relations.

Ontological independence is a metaphysical claim about reality itself.

The two are distinct.


3. Underdetermination of Ontology

For any empirically successful theory, there may exist multiple incompatible ontological interpretations that reproduce the same empirical predictions.

This is not merely hypothetical. It is structurally evident in modern physics, especially quantum mechanics, where distinct interpretations yield identical experimental predictions.

If multiple ontologies are compatible with the same empirical success, then empirical success alone cannot determine which ontology is correct.

Therefore:

Empirical success underdetermines ontological independence.

The No Miracles Argument requires more than success; it requires that independence be the uniquely best explanation. But underdetermination shows that this uniqueness claim is unfounded.


4. Alternative Explanations of Success

The No Miracles Argument assumes that realism provides the best explanation of scientific success.

However, alternative accounts exist, including:

  • Instrumental adequacy: theories are tools that organize and predict observations without describing independent entities.

  • Structural correspondence: theories capture stable relational patterns without committing to intrinsic independence.

  • Pragmatic convergence: scientific methods select for models that cohere, predict, and remain stable across contexts.

  • Contextual or relational interpretations of theory.

These alternatives explain empirical success without requiring ontological independence.

Since plausible non-realist explanations exist, the No Miracles Argument cannot claim exclusivity.

A non-miraculous explanation does not uniquely entail realism.


5. Quantum Theory as a Stress Test

Quantum mechanics intensifies the difficulty for the No Miracles Argument.

The theory exhibits:

  • Contextuality of measurement outcomes.

  • Non-commuting observables.

  • Entanglement and non-classical correlations.

  • Structural resistance to global non-contextual property assignment.

These features challenge the classical assumption that systems possess fully definite, observer-independent properties.

If empirical success required ontological independence, then quantum theory would compel us toward a classical intrinsic-property ontology.

Yet no such ontology emerges uniquely from the formalism.

Instead, multiple interpretations coexist, all empirically equivalent.

Thus quantum theory demonstrates that empirical success does not fix ontology.


6. The Hidden Premise of the No Miracles Argument

The NMA depends on an additional premise:

The best explanation of predictive success is that theories correspond to observer-independent reality.

But this premise is philosophical, not scientific.

It assumes that explanation must proceed by positing independently existing entities.

However, explanation in science often proceeds via:

  • formal structure,

  • invariance relations,

  • symmetry principles,

  • mathematical coherence,

  • and predictive constraints.

These explanatory resources do not require ontological independence.

Therefore, the explanatory framework underlying the No Miracles Argument is not mandated by science itself.

It is a metaphysical preference.


7. The Failure of the Inference

The core inference of the No Miracles Argument is:

Empirical success → Ontological independence.

This inference fails because:

  1. Empirical success concerns predictive alignment.

  2. Ontological independence concerns metaphysical status.

  3. Predictive alignment does not logically entail metaphysical independence.

  4. Multiple ontologies can account for the same empirical success.

  5. Quantum theory exemplifies this underdetermination.

Therefore, empirical success does not require ontological independence.

The No Miracles Argument does not establish realism.


8. Conclusion

The No Miracles Argument is often presented as the strongest defence of scientific realism. It appeals to the extraordinary success of science and argues that this success would be miraculous unless theories described a mind-independent reality.

However, this argument relies on an unwarranted inference. Empirical success does not logically entail ontological independence. The existence of alternative explanations, combined with the underdetermination revealed by modern physics, demonstrates that success alone cannot ground realist metaphysics.

Quantum theory, in particular, shows that empirical adequacy does not uniquely determine a classical picture of intrinsic, observer-independent properties.

The No Miracles Argument therefore fails to justify ontological independence. Scientific realism requires additional philosophical commitments beyond empirical success — commitments that must be defended on independent grounds.

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