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Christian Tractatus

(Text as at 12/08/2007 10:17:46)

One cannot be said to believe meaningfully in doctrines of which one is ignorant or which are as yet merely implicit consequences of initial premises.

  1. For example, the axioms of the mathematical theory of Groups, or of number theory, are very simple. However, because of our limited intelligence, their consequences are often astonishing in their depth and subtlety. We would not say we believed a theorem to be true until it had been discovered and we had worked through the proof, even though its truth had always been implicit in the axioms.
  2. This raises the issue of the distinction between knowledge and understanding1.
  3. In any sufficiently rich model of some sub-system of the world, the recursive2 application of the rules of the model may take us into areas of the model that do not mirror the world.

Note last updated Reference for this Topic Parent Topic
12/08/2007 10:17:46 238 (Implicit Beliefs) Belief

Summary of Note Links from this Page

Implicit Beliefs - Knowledge + Understanding Implicit Beliefs - Recursion      

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Summary of Note Links to this Page


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