Overview
The Problem Situation
The Tentative Solution
Critical Discussion
Correspondence
Content Logic
Class Logic
Logic of Arithmetic
Logic of Physics
Conclusion
Footnotes
Bibliography
The proposed philosophy of content logic provides a tentative solution to the hitherto unsolved problems posed at the beginning of this essay. Therefore, it succeeds in a field of study in which its competitors have failed. Identifying contents with immaterial possibilities created by sentences leads to the introduction of variable names of contents into logic and thus paves the way to consistent use of variables and constants in logic and mathematics. On this foundation, logic became the theory of contents and their logical forms, levels, and relations. Logical forms were analyzed in the contexts of propositional or sentential logic, in class logic, and arithmetic. The analyses of proofs and applications of theorems rendered rules of inference redundant, replacing them with logical theorems on higher content levels and thus providing a new tentative solution to problems covered by predecessors. Finally, the assumption that contents utilize functions to describe the physical world in ways determined by their logical forms shed light on the relationship between mathematics and physics.
Placed in a broader context, the philosophy of content logic points to a problem philosophy has yet to solve. The problem of the relationship between contents and sentences resembles the intricacies of the mind-body problem. Are minds identical to certain possibilities that materialize while the brain is active? Are minds immaterial? Do the mind and the brain interact? Since this essay does not provide a general theory of causality, understanding this relationship is at this point hopeless.
Overview
The Problem Situation
The Tentative Solution
Critical Discussion
Correspondence
Content Logic
Class Logic
Logic of Arithmetic
Logic of Physics
Conclusion
Footnotes
Bibliography
[Download a pdf version: Contents, Sentences, and Possibilities]