Question:hard

Read the following passage and answer the question that follows.

Attempting to understand science and scientific reasoning in terms of the subjective beliefs of scientists would seem to be a disappointing departure for those who seek an objective account of science. Howson and Urbach have an answer to that charge. They insist that the Bayesian theory constitutes an objective theory of scientific inference. That is, given a set of prior probabilities and some new evidence, Bayes' theorem dictates in an objective way what the new, posterior, probabilities must be in the light of that evidence. There is no difference in this respect between Bayesianism and deductive logic, because logic has nothing to say about the source of the propositions that constitute the premises of a deduction either. It simply dictates what follows from those propositions once they are given. The Bayesian defence can be taken a stage further. It can be argued that the beliefs of individual scientists, however much they might differ at the outset, can be made to converge given the appropriate input of evidence. It is easy to see in an informal way how this can come about. Suppose two scientists start out by disagreeing greatly about the probable truth of hypothesis h which predicts otherwise unexpected experimental outcome e. The one who attributes a high probability to h will regard e as less unlikely than the one who attributes a low probability to h. So P(e) will be high for the former and low for the latter. Suppose now that e is experimentally confirmed. Each scientist will have to adjust the probabilities for h by the factor P(e/h)/P(e). However, since we are assuming that e follows from h, P(e/h) is 1 and the scaling factor is 1/P(e). Consequently, the scientist who started with a low probability for h will scale up that probability by a larger factor than the scientist who started with a higher probability for h. As more positive evidence comes in, the original doubter is forced to scale up the probability in such a way that it eventually approaches that of the already convinced scientist. In this way, argue the Bayesians, widely differing subjective opinions can be brought into conformity in response to evidence in an objective way.



Scientists' beliefs which differ at the outset are related to:

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A 'belief' in the passage always pairs a hypothesis with the outcome it predicts; think about what differs between two such pairs.
Updated On: Jul 13, 2026
  • Different outcomes only.
  • Different hypotheses only.
  • Different hypotheses about different outcomes.
  • Differences in explanatory power of competing hypotheses.
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Understanding the Question:
The passage says scientists' beliefs can differ greatly at the outset, before any evidence comes in. The question asks what exactly this initial disagreement is about.

Step 2: Key Approach:
Go back to how the passage defines a belief in the first place. It is not a bare number floating on its own; it is always a probability that a scientist assigns to a particular hypothesis h, and that hypothesis is defined by the outcome e it predicts. So any answer describing the disagreement has to keep both the hypothesis and its predicted outcome in view.

Step 3: Detailed Explanation:
Look at the two scientists example the passage gives: they disagree about the probable truth of hypothesis h which predicts otherwise unexpected experimental outcome e. The disagreement is a probability judgment on a hypothesis-outcome pair, not a judgment on the outcome in isolation, and not a judgment on the hypothesis with no outcome attached. If we only said the outcomes differ, we would be ignoring that the whole disagreement is about how likely a hypothesis is. If we only said the hypotheses differ, we would be ignoring that a hypothesis only matters here through what it predicts. So the only description that captures the full structure of a belief, as the passage builds it, is that differing beliefs at the outset are about different hypotheses tied to different outcomes.

Step 4: Final Answer:
The answer is option 3: different hypotheses about different outcomes. This keeps both parts of what a belief means in the passage, the hypothesis and the outcome it predicts, together in the answer.
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