Verification of truth – causal fallacy: "The conclusion drawn is: the presence of calcium in milk makes it white. Rice, too, is white. Therefore rice also contains calcium." Evaluate the truth value of this conclusion.

Difficulty: Easy

Correct Answer: False

Explanation:


Introduction / Context:
This item tests recognition of a common reasoning error: confusing correlation with causation and committing the fallacy of affirming the consequent. Milk is white and contains calcium; the argument jumps to “calcium causes whiteness,” then generalizes to “anything white (e.g., rice) must contain calcium.”



Given Data / Assumptions:

  • Premise A: Milk is white.
  • Premise B: Milk contains calcium.
  • Claimed rule: “Whiteness is caused by calcium.” (not established)
  • Observation: Rice is white.


Concept / Approach:
Even if X has property P and Q, we cannot conclude that P is caused by Q. Many substances are white for varied reasons (particle size, structure, pigments), and many calcium-rich items are not white. The correct logic would require a validated rule like “If (contains calcium) then (white)” and its confirmed causality—neither is given.



Step-by-Step Solution:

1) Observed conjunction in milk: whiteness ∧ calcium.2) Illicit causal leap: calcium → whiteness (not supported).3) Affirming the consequent: rice is white ⇒ rice has calcium (invalid).4) Counterexamples: white sugar, white salt, white chalk (calcium carbonate) vs. white plastics, paper, talc—whiteness arises from scattering/structure, not necessarily calcium content.


Verification / Alternative check:
Ask whether reversing the putative rule holds: Do all calcium-containing things appear white? No (e.g., spinach, almonds). Do all white things contain high calcium? No (e.g., refined sugar).



Why Other Options Are Wrong:
True and Probably true wrongly accept an unproven causal law. Can’t say is too weak: we have sufficient reason to reject the argument's logic, not merely suspend judgment.



Common Pitfalls:
Assuming one feature causes another because they co-occur; generalizing from a single example; mistaking necessary/sufficient conditions.



Final Answer:
False

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