Is equivalence analytic?


  1. The above proposition states of an equivalence relation. Is 4=2+2?
  2. Is 4 definitionally 2+2=4?
  3. Furthermore, is 4 definitionally any arbitrary true proposition that sums up to it?
  4. Can we know, by analysis, an infinite set of propositions in order to fully understand a single term 4?
  5. Or, is it the case, that by 4, we construct, rather than take apart, a concept? (synthesis)

We need to understand these primitives in a truly naturalist way if we are to construct the ‘big theory’ of everything. 


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