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14433 | Mathematically expressed propositions are true of the world, but how to interpret them? [Russell] |
Full Idea: We know that certain scientific propositions - often expressed in mathematical symbols - are more or less true of the world, but we are very much at sea as to the interpretation to be put upon the terms which occur in these propositions. | |
From: Bertrand Russell (Introduction to Mathematical Philosophy [1919], VI) | |
A reaction: Enter essentialism, say I! Russell's remark is pretty understandable in 1919, but I don't think the situation has changed much. The problem of interpretation may be of more interest to philosophers than to physicists. |
11053 | Explanatory reduction is stronger than ontological reduction [Hanna] |
Full Idea: As standardly construed, reduction can be either explanatory or ontological. Explanatory reduction is the strongest sort of reduction. ...Ontological reduction can still have an 'explanatory gap'. | |
From: Robert Hanna (Rationality and Logic [2006], 1.1) |