0008 The intersection is a technical term describing a single actuality constituted by two seemingly independent actualities.

Now I collect two nested forms from prior works by Razie Mah.

0009 For Peirce, I consider A Primer on Sensible and Social Construction.  Point 0062 presents a three level interscope, depicting Peirce’s social construction.  Here is a diagram of the virtual nested form in the realm of actuality.

0010 The content-level actuality_2a is the discovery that signs are triadic relations_2a.  Triadic relations are luminous_2a and Peirce cannot situate that luminosity_2b within the modern philosophies of his day.  This difficulty_2b situates the content-level actuality_2a and demands social construction_3c. Peirce realizes that three categories contextualize all experience_2c(because all experience utilizes signs_2a).  The categories of firstness, secondness and thirdness are discussed in detail in chapter four of Kemple’s book.

0011 For Heidegger, I turn to Comments on Alexander Dugin’s Book (2012) The Fourth Political Theory.  Point 0037 presents a three-level interscope for Heidegger’s construction of Being (Sein).  Once again, the virtual nested form in the realm of actuality captures my attention.

Here is a diagram.

The normal context of inzwischen_2c (in between-ness) brings the actuality of Dasein_2b (the realization that Being is there (da-)) into relation with the possibilities inherent in Sein_2a (Being Itself).

0012 For these two virtual nested forms to serve as the nested forms for an intersection, the perspective-level actualities_2c, must take on the character of thirdness (over and above their location in secondness).  This makes sense in so far as the perspective_c level corresponds to thirdness, the realm of normal contexts.

The same “taking on” applies to the content-level actualities_2a.  They take on the character of firstness (over and beyond their location in secondness).  This makes sense because the content_a level corresponds to firstness, the realm of possibility.

0013 Here is the resulting intersection.