Cf: Peirce’s 1870 “Logic of Relatives” • Comment 11.6
https://inquiryintoinquiry.com/2014/05/04/peirces-1870-logic-of-relatives-c…
Peirce’s 1870 “Logic of Relatives” • Comment 11.6
https://oeis.org/wiki/Peirce%27s_1870_Logic_Of_Relatives_%E2%80%A2_Part_2#C…
All,
Let’s continue working our way through the above definitions,
constructing appropriate examples as we go.
1. Relation E₁ ⊆ X × Y exemplifies the quality of “totality at X”.
••
https://inquiryintoinquiry.files.wordpress.com/2014/05/lor-1870-figure-31.j…
2. Relation E₂ ⊆ X × Y exemplifies the quality of “totality at Y”.
••
https://inquiryintoinquiry.files.wordpress.com/2014/05/lor-1870-figure-32.j…
3. Relation E₃ ⊆ X × Y exemplifies the quality of “tubularity at X”.
••
https://inquiryintoinquiry.files.wordpress.com/2014/05/lor-1870-figure-33.j…
4. Relation E₄ ⊆ X × Y exemplifies the quality of “tubularity at Y”.
••
https://inquiryintoinquiry.files.wordpress.com/2014/05/lor-1870-figure-34.j…
So E₃ is a pre-function e₃ : X ⇀ Y and E₄ is a pre-function e₄ : X ↼ Y.
Resources
=========
Logic Syllabus
https://oeis.org/wiki/Logic_Syllabus
Relational Concepts
https://oeis.org/wiki/Logic_Syllabus#Relational_concepts
Relation Theory
https://oeis.org/wiki/Relation_theory
Relative Term, Rhema, Rheme
https://oeis.org/wiki/Relative_term
Regards,
Jon