komponisto comments on A Sketch of an Anti-Realist Metaethics - Less Wrong

16 Post author: Jack 22 August 2011 05:32AM

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Comment author: komponisto 23 August 2011 03:24:38PM *  0 points [-]

What's the distinction between the two? (Useful for deriving propositions about smth vs. referring.)

The derived "propositions about" are distinct from the mathematical statements per se. For example:

  • Mathematical statement: "2+2 = 4" (nothing more than a theorem in a formal system; no inherent reference to the external world).

  • Statement about the world: "by the correspondence between mathematical statements and statements about the world given by the particular model we are using, the mathematical statement '2+2=4' predicts that combining two apples with two apples will yield four apples".