More Questions from Verification of Truth

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.

Verbal Reasoning Verification of Truth Difficulty: Easy
Choose an option
  • A
    False
  • B
    Probably true
  • C
    True
  • D
    Can't say
  • E
    None of these

Answer

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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