Wittgenstein's rule-following considerations entail that no finite symbolic procedure fixes a unique interpretation of 'algorithm,' undermining the determinacy of 'always returns an answer.'
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fixes a unique interpretation(describing what a symbolic procedure should do but may fail to do)
Establishes or pins down one single, definite meaning—prevents multiple different understandings from being valid.
rule-following considerations(in philosophy of language)
Wittgenstein's famous puzzle about how we know what rule to follow next: if you learn a rule by seeing examples, how do you know you're applying it correctly to new cases you've never seen before?
symbolic procedure(as a method for specifying what something means)
A step-by-step process written out using symbols or formal notation (like mathematical or computer code) that's meant to give exact instructions.