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Why did Rudolf Carnap think ordinary language was insufficient for some problems in science and mathematics?

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Rudolf Carnap believed that ordinary language was insufficient for addressing technical problems in fields like science and mathematics because it is often prone to misunderstanding, misuse, and ambiguity.1

While Carnap agreed with the "ordinary language" school of analytic philosophy that many philosophical perplexities arise from linguistic confusion, he argued that complex scientific and mathematical issues require greater precision than everyday usage can provide. To resolve these problems, Carnap advocated for "logical reconstruction," which involves using artificially constructed languages. These artificial languages are formulated in logical symbolism and have their structures and interpretations precisely defined by explicit syntactic and semantic rules.12

By shifting from ordinary language to these formal systems, Carnap aimed to provide the rigorous clarity necessary to analyze scientific and mathematical concepts, ensuring that their meanings and logical connections are precisely specified.21