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What you're saying is more or less equivalent to “two C implementations targeting different [architectures / operating systems / whatever] are actually implemen
by catnaroek 11y ago
What you're saying is more or less equivalent to “two C implementations targeting different [architectures / operating systems / whatever] are actually implementations of two different programming languages”.
- plutooo 11y agoNo, I'm saying the meaning behind statements are different. On some architectures, an int is 16-bit, on others 32-bit. Anyway, this analogy was pushed too far a long time ago.
- catnaroek 11y agoAh, lovely! You just arrived exactly where I was trying to get. > I'm saying the meaning behind statements are different. Yes, exactly! And, just like a single C program can have two different meanings under two different implementations, the same axiomatic system can have two different meanings when deducing its consequences (proving theorems) using different rules of inference.