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Prediction Markets and Undecidable Sentences: A Theoretical Exploration

This article explores the theoretical implications of prediction markets when dealing with undecidable sentences. It questions whether the prices of outcomes related to such sentences should adhere to the standard expectation that probabilities sum to one. The discussion delves into the mathematical and logical frameworks governing these markets and how they might adapt to propositions that cannot be definitively proven true or false. AI

RANK_REASON The item is a theoretical discussion on a niche topic within rationality and mathematics, not a release or significant industry event.

Read on LessWrong (AI tag) →

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Prediction Markets and Undecidable Sentences: A Theoretical Exploration

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The item is a theoretical discussion on a niche topic within rationality and mathematics, not a release or significant industry event.
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  1. LessWrong (AI tag) TIER_1 Português(PT) · DaemonicSigil ·

    Should prices sum to $1 for undecidable sentences?

    <p>Previously: <a href="https://www.lesswrong.com/posts/uDXRxF9tGqGX5bGT4/logical-share-splitting">Logical Share Splitting</a>, <a href="https://www.lesswrong.com/posts/M3DwMcsad2aQQc5jJ/logical-share-splitting-for-intuitionists">Logical Share Splitting for Intuitionists</a></p> …