A sketch of logic without truth
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1. Jøgensen's Dilemma - 2. The Proposed Solution - 3. Short History of a Philosophical Prejudice - 4. The Abstract, Syntactical and Semantic Notion of Consequence - 4.1. The Abstract Notion of Consequence - 4.2. The Syntactical Notion of Consequence - 4.3. The Semantic Notion of Consequence - 4.4. The Meaning Given by Rules of Use in a Context - 4.5. Which Operators does Logic Require? - 5. Deontic Logic - 6. The Consequences for Computer Scientists.
[1] R. Carnap. Foundations of Logic and Mathematics , 1937 .
[2] E. Mally. Grundgesetze des Sollens , .
[3] Arthur N. Prior,et al. The Runabout Inference-Ticket , 1960 .