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Difficulty: Very hardAssumptions in Conditional Logic

Political scientist: A representative democracy is fully insulated from autocratic capture only if its judiciary is strictly impartial and its electorate remains highly informed. However, maintaining a highly informed electorate invariably requires a decentralized media apparatus. Therefore, because any nation that establishes comprehensive algorithmic speech filters inherently dismantles its decentralized media apparatus, it follows that if a representative democracy establishes such filters, its judiciary will inevitably forfeit its strict impartiality.

Which one of the following is an assumption on which the political scientist's argument depends?

  1. A
    Any representative democracy that forfeits its strict judicial impartiality has dismantled its decentralized media apparatus.
  2. A representative democracy cannot maintain a strictly impartial judiciary without a highly informed electorate.Answer
  3. C
    If a representative democracy does not establish comprehensive algorithmic speech filters, its judiciary will retain strict impartiality.
  4. D
    Any policy that inherently dismantles a decentralized media apparatus will simultaneously compromise all institutions necessary to insulate a democracy from autocratic capture.
  5. E
    Authoritarian regimes typically establish comprehensive algorithmic speech filters specifically to undermine the strict impartiality of the judiciary.

Answer

The argument assumes that a representative democracy cannot maintain a strictly impartial judiciary without a highly informed electorate.
The correct answer bridges the precise logical gap in the argument. The premises establish that algorithmic speech filters destroy a decentralized media, which in turn destroys a highly informed electorate. From this proven chain, the author leaps to the conclusion that the judiciary will forfeit its impartiality. This leap is only valid if losing an informed electorate guarantees losing an impartial judiciary (If NOT Informed Electorate -> NOT Impartial Judiciary). The correct answer states this exact relationship: an impartial judiciary cannot be maintained without an informed electorate.

Step-by-Step Solution

1
Map the conditional premises provided in the stimulus.
Insulated -> (Impartial Judiciary AND Informed Electorate). Informed Electorate -> Decentralized Media. Speech Filters -> ~Decentralized Media.
Visualizing the conditional chains reveals the exact boundaries of the stated evidence.
2
Determine the downstream logical effects of the trigger condition found in the conclusion.
The trigger is 'Speech Filters'. Based on the premises: Speech Filters -> ~Decentralized Media -> ~Informed Electorate. Therefore, establishing speech filters guarantees the loss of an informed electorate.
Tracing the conditional chain shows what can be validly inferred directly from the author's evidence.
3
Identify the author's conclusion and isolate the logical gap.
The author concludes: Speech Filters -> ~Impartial Judiciary. However, the premises only prove Speech Filters -> ~Informed Electorate.
To draw this specific conclusion about the judiciary, the author must be relying on an unstated link connecting the loss of an informed electorate to the loss of an impartial judiciary.
4
Formulate the required assumption and apply the Negation Test to confirm.
The required link is ~Informed Electorate -> ~Impartial Judiciary (or equivalently, Impartial Judiciary -> Informed Electorate). Negating this yields: 'A democracy CAN maintain an impartial judiciary even without an informed electorate.' If true, the author's conclusion falls apart.
A necessary assumption must definitively destroy the argument when negated.

Key Concept

Identifying unstated conditional bridges between necessary conditions
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Topics

Assumptions in Conditional Logic

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