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Solution The sentence's intended idea is to express optimism about weak AI systems optimistically contributing to social justice, with algorithms being capable of eliminating bias, achieving fairness beyond human reach. The original words in bold are incorrect because 'hopelessly' implies a lack of hope or effectiveness, which contradicts the optimism expressed; 'unbiased' is contradictory to refer to the errors AI seeks to avoid; and 'just' is awkward and incomplete as an adjective in this context. Option B: 'Ostensibly' (seemingly) introduces doubt and 'impulsive' (acting without thinking) does not fit the logical nature of algorithms, while 'dispassionateness' (lack of emotion) is totally irrelevant. Option C: 'Extensively' (widely) and ‘impartiality' (fairness) could fit, but 'partisan' (showing bias) contradicts the goal of eliminating bias. Option D: 'Vicariously' (indirectly) is irrelevant contextually, 'fallacious' (based on a mistaken belief) contradicts the positive intention, and 'detachment' (lack of involvement) does not capture the fairness AI aims to achieve. Option A: 'Positively' (in a good way) fits the optimism, 'biased' (showing favouritism) reflects what AI seeks to eliminate, and 'objectivity' (neutrality) aligns perfectly with the goal of fairness. Hence, option A is correct.
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