Rationally Speaking Podcast
Rationally Speaking #72 - Graham Priest on Paradoxes and Paraconsistent Logic
Oct 21, 2012
Explore the world of paradoxes and paraconsistent logic with a philosopher and logician as they discuss how statements can be both true and false, unravel the mysteries of the barber paradox, and delve into the evolution of thoughts on infinitude in mathematics. Discover how paraconsistent logic can navigate contradictions in mathematics, and get book recommendations for philosophical insights and logic.
46:43
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Quick takeaways
- Paraconsistent logic allows controlled consequences from contradictions without leading to logical chaos.
- Dialetheism challenges traditional views by accepting some contradictions as true, requiring paraconsistent logic for consistency.
Deep dives
Exploring Paraconsistent Logic
Paraconsistent logic challenges the traditional view that contradictions lead to everything being true. The principle of inference called explosion, where an inconsistency makes everything follow, is a recent piece of logical technology. It ensures that contradictions are contained like singularities, not causing havoc. This logic, unlike explosion-prone systems, allows controlled consequences from contradictions, making it vital for information processing where corrupt data must not lead to a complete breakdown.
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