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.

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Hintikka proposes a new logic and uses it to explore the foundations of mathematics.

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'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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