If exegesis raised a hermeneutic problem, that is, a problem of interpretation, it is because every reading of a text always takes place within a community, a tradition, or a living current of thought, all of which display presuppositions and exigencies — regardless of how closely a reading may be tied to the quid, to “that in view of which” the text was written.
If a picture is worth a thousand words, here’s my 48,000 words worth on the recurring question of logical graphs, their iconicity, and their interpretation, at least as concerns Peirce’s alpha graphs interpreted for propositional logic. A few more actual words, literally speaking, may be called for. I’ll return to that anon.
Referring to the Table —
- Column 1 shows a conventional name and a venn diagram for each of the sixteen boolean functions on two variables.
- Column 2 shows the logical graph canonically representing the boolean function in Column 1 under the entitative interpretation. This is the interpretation C.S. Peirce used in his earlier work on entitative graphs and the one Spencer Brown used in his book Laws of Form.
- Column 3 shows the logical graph canonically representing the boolean function in Column 1 under the existential interpretation. This is the interpretation C.S. Peirce used in his later work on existential graphs.
- Logic Syllabus
- Logical Graphs
- Cactus Language
- Duality Indicating Unity
- Futures Of Logical Graphs
- Minimal Negation Operators
- Survey of Theme One Program
- Survey of Animated Logical Graphs
- Propositional Equation Reasoning Systems
- Applications • Constraint Satisfaction Problems