Key Arguments

Central Thesis: Refines earlier agreement with Deutsch/Hall’s critique—they’re right that theories don’t have objective probabilities, but wrong to dismiss credences to theories entirely.

Earlier Position (Part 2):

  • Agreed with Hall/Deutsch: explanatory theories don’t have intrinsic probabilities
  • Theories are binary (correct or incorrect), not probabilistic
  • Can’t assign partial truth to theories

Revised Position (Part 7): Recent clarifications (Logical Induction from Part 6, credence distinctions from Part 5) prompted reassessment.

The Refinement:

  • Deutsch/Hall are right: Theories don’t possess objective probabilities
  • But they overlook: Theories exist in contexts of rational uncertainty
  • Key distinction: Credences = epistemic uncertainty about whether theory correctly describes reality, not partial truth of theory itself

Logical Induction’s Role:

  • Demonstrates rational credences can/must be assigned to logical/explanatory statements
  • Credences are coherent epistemic tools for managing incomplete knowledge
  • Used precisely because we lack direct empirical/logical certainty

Core Resolution:

  • Reject: Assigning objective probabilities to theories
  • Accept: Assigning epistemic credences to theories
  • Credences enable coherent uncertainty management without implying partial truth

Connection to Framework

Defending Bayes Sequence Continuation:

  • Part 2 (Batch 2): Initial agreement with Deutsch/Hall
  • Part 5 (Batch 2): Empirical vs logical vs conceptual credences
  • Part 6 (this batch): Logical Induction formalism
  • Part 7 (this post): Synthesis and refinement

Epistemic Framework:

  • Credence = subjective epistemic tool, not objective property
  • Theories remain binary (correct/incorrect)
  • But agents assign credences to manage uncertainty
  • Consistent with Conditionalism (agent-relative truth)

Philosophical Positioning:

  • Deutsch/Hall (critical rationalism): Reject induction, emphasize conjecture/falsification
  • Framework’s position: Accept their metaphysics, but add rigorous epistemic layer (credences)

Evolution Tracking

Conceptual Development:

  • Shows willingness to revise prior positions based on new insights
  • “Recent clarifications…prompted a subtler reassessment”
  • Not abandoning Deutsch/Hall entirely—refining the critique

Integration of New Tools:

  • Logical Induction (Part 6) provides formal justification
  • Credence distinctions (Part 5) provide conceptual clarity
  • Part 7 synthesizes these into refined position

Methodological Maturity:

  • Explicitly acknowledges changing position
  • Identifies what triggered reassessment
  • Preserves valid insights while correcting overreach

Cross-References

Notes

Significance: Demonstrates intellectual honesty—willing to revise positions when new tools (Logical Induction) reveal subtler distinctions.

Philosophical Nuance: The distinction between “theories have probabilities” (rejected) vs “we assign credences to theories” (accepted) is subtle but crucial.

Framework Coherence: Maintains both:

  • Objective theory status (binary correct/incorrect)
  • Subjective epistemic uncertainty (credences)

Style: Short, direct, surgical correction of prior position.