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Relations between Dennis J. Darland's Philosophy & Principia Mathematica Appendix C
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I The primary places I have written on this are:
  1. [A]Analysis of Telling, Believing and Truth [2013]
    Within My Philosophy [A]
  2. And [B] common facts [2017]
    Within Darland's Philosophy [B]
These are the correspondences between my terms and material from Appendix C [C]. I'm changing particular examples from mine to match those used by Russell.
  1. (from [C] p. 404) in [A] in m_symbol_0r(S1, t, socrates_m, socrates) socrates_m is a thought of socrates -- m_symbol_0r being the meaning relation (we only need its structure) - to being Socrates. (For a person S1 at time t)
  2. or in {B] in internal_symbol(tom, now, 0, tom_socrates_int, socrates). tom_socrates_int is tom's internal symbol of socrates. internal_symbol being the meaning relation - which we again only need the structure of.
  3. in [A] in m_symbol_1r(S1, t, being_greek_m, being_greek) being_greek_m is thought of being_greek.
  4. in [B] internal_relation_symbol(tom, now, 1, 2, tom_being_greek_int, being_greek). is the same
  5. What R calls the relation of predication in our thoughts for me is:
  6. in [A] belief_r(S1, t, being_greek_m, socrates_m)
  7. and in [B] believes_internal(tom, now, pos_pos, 0, 2, tom_being_greek_int, tom_socrates_int).
  8. Russell also talks of propositions as facts - geographical or acoustic. (p. 402).
  9. These I call external symbols:.
  10. in [A] p_symbol_0r(S1, t, socrates_m, socrates_p)
  11. and p_symbol_1r(S1, t, being_greek_m, being_greek_p)
  12. in [B] external_symbol(tom, now, 2, socrates_ext, tom_socrates_int) - spoken or written word for thought
  13. external_relation_symbol(tom, now, 3, 2, being_greek_ext, tom_being_greek_int) - ditto.
  14. Generally, different people will have different internal symbols for the same objects, but will in the same language have the same external symbols.
  15. These are the main "primitive relations" of my philosophy. - My philosophy derives consequences of the existence of these relations.
  16. I define many other relations in their terms - and consequences about transparency and opacity.
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