1. The functions of logic and the problem of truth definition; 2. The game of logic; 3. Frege's fallacy foiled: Independence-friendly logic; 4. The joys of independence: Some uses of IF logic; 5. The complexities of completeness; 6. Who's afraid of Alfred Tarski? Truth-definitions for IF first-order languages; 7. The liar belied: negation in IF logic; 8. Axiomatic set theory: Frankenstein's monster?; 9. IF logic as a framework for mathematical theorizing; 10. Constructivism reconstructed; 11. The epistemology of mathematical objects.
Hintikka proposes a new logic and uses it to explore the foundations of mathematics.
'Hintikka's new logic is highly original and will prove appealing to logicians, philosophers of mathematics, and mathematicians concerned with the foundations of the discipline.' Studia Logica
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