HPS 2154 Theories of Confirmation Fall 2024

Inference to the Best Explanation

According to Ch 8. "Inference to the Best Explanation: The General Account" and Ch 9. "Inference to the Best Explanation: Examples" in John D. Norton, The Material Theory of Induction. BSPSopoen, 2021.

Two Step Model

(Constructed after an examination of many standard examples of IBE in science.)



Step 1. Preference for the Better Explanation

The favored hypothesis is adequate to the evidence, most commonly in the sense that it deductively entails the evidence.

The foils, that is, the alternatives, are judged inadequate in one of two ways:

Contradiction: The evidence at hand may directly contradict the alternative; or the evidence supplemented by specific background facts may contradict the alternative.

Evidential debt: to accept the alternative requires us to accept further assumptions for which we have no evidence.

The essential point is that the favoring invokes no explanatory notions.



Step 2. From Comparative to Absolute: Better is Best

The safest case arises when background assumptions assure us that the hypotheses or theories we have considered are exhaustive.

The most difficult case is the most common. It is when the inference from better to absolute best is made, even though the scientist have no clear grasp of the full range of hypotheses or theories possible.

Often this step is not taken explicitly.



Major Claims

No distinctively explanatory notions appear. There is no attribution of special inductive powers to some specific notion of explanation. Much of the important inductive work is carried by elimining the foil.

The present literature in IBE is degenerating as far as science is concerned. The examples are overwhelmingly ones concerning human action, where the role of the foil is minimal. They are poor models for abductive inferences in science. (Footprints in the snow vs origin of species)



Catalog of Case Studies

Abduction

Foil

Foil eliminated

Generalization from better to best

Darwin on the origin of species

Independent creation

Refuted by traits without function

Tacit assumption of exhaustive choice

Lyell’s uniformitarian geology

Geologies using presently unknown causes

Novel causes incur an undischarged evidential debt.

Known versus unknown causes is exhaustive

Thomson for cathode rays as charged particles

Cathode rays are processes in the ether.

Contradiction with experiment: Ether waves would not be bent by a uniform field

Tacit assumption of exhaustive choice

Lenard for cathode rays as ether processes

Cathode rays are processes in matter

Contradiction with experiment: cathode rays in evacuated tubes

Choice between matter and ether posed as exhaustive dilemma.

Einstein’s explanation of Mercury’s anomalous motion

Many. Modifications to Newtonian theory. Unobserved masses.

Contradiction with experience. Undischarged evidential debt.

Step not taken.

Cosmic background radiation from the big bang

Alternative cosmologies, especially steady state cosmology

Empirical failure

Taken tacitly

Lavoisier’s oxygen chemistry.

Phlogiston chemistry.

Contradiction. Matter has weight (gravity), but phlogiston has levity.

Fact (matter has weight) is one of many warranting facts.

Wave theory of light.

Newtonian corpuscular theory.

Undischarged evidential debt. Contradiction with experiment.

Complicated.