The Quotation is not the Referent. Just because the text describing them is different doesn’t mean the assertions themselves are different.
..because exact synonymy is possible. Exact synonymy is also rare, and it gets less probable the longer the text is.
You need to be clear whether you are claiming that two theories are the same because their empirical content is the same, or because their semantic content is the same.
just like describing f(x)=(x+1)2 as g(x)=x2+2x+1 does not make it a different function.
Those are different...computationally. They would take a different amount of time to execute.
Pure maths is exceptional in its lack of semantics.
f=ma
and
P=IV
..are identical mathematically, but have different semantics in physics.
If A≢B, even though they give the same predictions, then something other than the state and laws of the universe is deciding whether a belief is true or false (actually—how much accurate is it)
If two theories are identical empirically and ontologically, then some mysterious third thing would be needed to explain any difference. But that is not what we are talking about. What we are discussing is your claim that empirical difference is the only possible difference , equivalently that the empirical content of a theory is all its content.
Then the answer to “what further difference could there be” is “what the theories say about reality”.
..because exact synonymy is possible. Exact synonymy is also rare, and it gets less probable the longer the text is.
You need to be clear whether you are claiming that two theories are the same because their empirical content is the same, or because their semantic content is the same.
Those are different...computationally. They would take a different amount of time to execute.
Pure maths is exceptional in its lack of semantics.
f=ma
and
P=IV
..are identical mathematically, but have different semantics in physics.
If two theories are identical empirically and ontologically, then some mysterious third thing would be needed to explain any difference. But that is not what we are talking about. What we are discussing is your claim that empirical difference is the only possible difference , equivalently that the empirical content of a theory is all its content.
Then the answer to “what further difference could there be” is “what the theories say about reality”.