What it means to “explain” something in science often comes down to the application of mathematics.
Passage Summary
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Topic
The relationship between mathematical language and scientific explanation; how language shapes scientific knowledge.
Framework
Present Debate (with some Highlight Noteworthy)
Main Point
The way science “explains” the world through mathematics depends on ongoing debates about whether language (including math) truly reflects reality or is simply a matter of convention, and though many in science accept useful mathematical statements as true, it's unclear what function these statements really serve if they don't inherently correspond to the world. ( - Paragraph 2. Also see final lines of P4.)
P1: Introducing Math as Scientific Explanation
Some people think that mathematics, like language, is just a tool with internal rules, and when science "explains" something, it’s about finding accurate mathematical descriptions.
P2: The Language vs. Reality Debate
There's a big debate among linguists: does language (and by extension math in science) truly match up with real things, making knowledge solid? Or is it merely a set of conventions, making knowledge uncertain?