Bibliographic record
Abstract
Incommensurability is often introduced with the small improvement argument. Options A and B are shown to be incommensurable when it is neither the case that A is preferred to (or better than) B nor that B is preferred to (or better than) A, but a slightly improved version of A (A+) is still not preferred to B. Since A+ is preferred to A, but not to B, we must also conclude that it is also true that A and B are not indifferent (or equally good). Such incommensurable options seem incompatible with orthodox decision theory (and various forms of value theory) but options that obey the pattern described by this argument seem ubiquitous: my choice between lemon tarts and eclairs at my favourite pastry shop might exhibit this pattern, but so could my choice between jobs or careers. In trying to accommodate incommensurable options within various frameworks, philosophers have argued that we must preserve certain central features of the phenomenon. Among them is the supposed “hardness” of at least some incommensurable options: even if perhaps one would need to be a rather anxious gourmet to describe the choice between lemon tarts and eclairs as hard, the choice among careers could potentially be agonizing. However, it is not clear in which way choices among incommensurable options are “hard,” nor how and whether such hardness poses problems for the various accounts of incommensurable choices. To complicate matters, the deontic verdicts for choices between incommensurable options seem to be relatively straightforward: one appealing view is that in such circumstances I am rationally permitted to choose any option that is not worse than another option. This paper aims to provide a sharper formulation of at least a version of the hardness problem, to argue that various theories of incommensurability fail to account for the hardness of some incommensurable choices, and to propose that the theory of instrumental rationality I develop in Rational Powers in Action, aided by a Kantian insight, promises to provide an adequate explanation of the hardness of choice among incommensurable options.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".