Examkin

Question

Difficulty: Very hardApplying the Negation Technique

Sociologist: A successful democracy requires an informed electorate. However, a populace can be considered truly informed only if a significant majority consumes media from a diverse array of ideological perspectives. Recent studies reveal that, driven by algorithmic curation, over 80 percent of voters in our nation consume news exclusively from sources that mirror their pre-existing political biases. Therefore, our nation's democratic institutions are inevitably headed for collapse.

Which one of the following is an assumption required by the sociologist's argument?

  1. A nation cannot avoid the collapse of its democratic institutions unless it maintains a successful democracy.Answer
  2. B
    If a nation's democratic institutions are inevitably headed for collapse, then its electorate is not truly informed.
  3. C
    A populace cannot be considered truly informed if algorithmic curation plays any role in its news consumption.
  4. D
    A nation that maintains a successful democracy will not experience the collapse of its democratic institutions.
  5. E
    Algorithmic curation that restricts voters to biased news sources is the primary cause of democratic institutional collapse in modern nations.

Answer

The correct answer is the statement that a nation cannot avoid the collapse of its democratic institutions unless it maintains a successful democracy.
The argument deductively proves that our nation is not a successful democracy: a successful democracy requires an informed electorate, which requires a significant majority to consume diverse media (a condition our nation mathematically fails since over 80% consume exclusively biased news). However, the author jumps from 'not a successful democracy' to the extreme conclusion that institutions are 'inevitably headed for collapse.' To bridge this logical gap, the author must assume that failing to be a successful democracy guarantees institutional collapse. The correct answer provides this exact bridge using the 'unless' framework: 'cannot avoid collapse unless successful' translates formally to 'If a nation does not maintain a successful democracy, it will not avoid collapse (i.e., it will collapse).'

Step-by-Step Solution

1
Translate the premises into formal conditional logic to find the intermediate deduction.
Successful Democracy -> Informed Electorate. Informed Electorate -> Significant majority consumes diverse media. Since >80% exclusively consume biased news, our nation lacks a significant majority consuming diverse media. Therefore, by contrapositive, our nation does not have an informed electorate, and thus is not a successful democracy.
Identifying what the premises logically prove is the first step in finding the gap to the final conclusion.
2
Identify the gap between the intermediate deduction and the main conclusion.
The intermediate deduction is that our nation is 'not a successful democracy.' The final conclusion is that our nation is 'inevitably headed for collapse.' The missing link is: 'If not a successful democracy, then inevitably headed for collapse.'
A necessary assumption must bridge the gap between what is proven and what is newly introduced in the conclusion.
3
Evaluate the options using conditional translation and the Negation Technique.
The correct option translates 'cannot avoid collapse unless successful' to 'If not successful, then collapse.' Negating this yields: 'A nation can avoid collapse even if it does not maintain a successful democracy.'
If this negation is true, the fact that our nation is not a successful democracy does not mean it must collapse, completely destroying the author's conclusion.

Key Concept

Applying the Negation Technique to Complex Conditional Chains
Rate this question

Topics

Applying the Negation Technique

More questions from this topic