The only sort of statements I care about are mathematical statements: any property of our environment can be expressed as a purely mathematical statement.
I believe it’s not just a practical difficulty that we can’t really specify which mathematical statements environment signifies. We can indeed learn something about certain mathematical statements as a result of observing environment (in a somewhat confusing sense), but that doesn’t tell us that real world is exactly the same kind of business as math.
I believe it’s not just a practical difficulty that we can’t really specify which mathematical statements environment signifies. We can indeed learn something about certain mathematical statements as a result of observing environment (in a somewhat confusing sense), but that doesn’t tell us that real world is exactly the same kind of business as math.
Consider such a simplified world in the interest of making the point clearer. Do you think this problem goes away when the world is not just math?