Contents, Sentences, and Possibilities

Overview The Problem Situation The Tentative Solution
Critical Discussion Correspondence Content Logic Class Logic Logic of Arithmetic Logic of Physics
Conclusion Footnotes Bibliography

Critical Discussion

To fathom the problem-solving depth of the philosophical theory introduced above, this section confronts it with additional problems.

Does logic comprise axioms, theorems, and rules of inference? 12 Do arguments apply rules or theorems? If contents, rather than sentences, are true or false, can truth be explained as correspondence between contents and facts? Is there a difference between the use of mathematical and logical theorems? How do physical theories and arguments employ mathematical theorems?

The subsections below discuss problems of the correspondence theory of truth, propositional logic, class logic, and arithmetic. The final part uses ideas of Karl Popper’s The Logic of Scientific Discovery to analyze the role mathematical and logical theorems play in physics.

Overview The Problem Situation The Tentative Solution
Critical Discussion Correspondence Content Logic Class Logic Logic of Arithmetic Logic of Physics
Conclusion Footnotes Bibliography

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