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No Free Lunch Theorem, Inductive Skepticism, and the Optimality of Meta-induction

Bibliographic Data

ID10706300
AuthorsGerhard Schurz (0000-0002-4107-9240, corresponding author)
Year2017
Volume84
Issue5
Pages825-839
Publication date2017-12-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePhilosophy of Science (JOURNAL)
Journal identifiersISSN: 0031-8248 • E-ISSN: 1539-767X
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1086/693929
OpenAlexW2548389436
LanguageEN
Citations received7
References cited4

The no free lunch theorem is a radicalized version of Hume’s induction skepticism. It asserts that relative to a uniform probability distribution over all possible worlds, all computable prediction algorithms—whether ‘clever’ inductive or ‘stupid’ guessing methods (etc.)—have the same expected predictive success. This theorem seems to be in conflict with results about meta-induction. According to these results, certain meta-inductive prediction strategies may dominate other (non-meta-inductive) methods in their predictive success (in the long run). In this article this conflict is analyzed and dissolved, by means of probabilistic analysis and computer simulation

Discrete mathematics · Economics · Epistemology · Inductive bias · Inductive method · Inductive reasoning · Mathematical economics · Mathematics education · Meta-analysis · Probabilistic logic · Skepticism · Advanced Bandit Algorithms Research · Adversarial Robustness in Machine Learning · Artificial Intelligence · Computability, Logic, AI Algorithms · Computer Science · Mathematics · Medicine · Philosophy

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    Open Access•J Brian Pitts•Journal for General Philosophy of…•2023

  • Non-epistemic Values and the Automation of Science

    Open Access•Marek Sikorski, Dilectiss Liu•Journal for General Philosophy of…•2025

  • Explaining the Success of Induction

    Igor Douven•The British Journal for the…•2021

  • Metainduction over Unboundedly Many Prediction Methods

    Open Access•Gerhard Schurz•Philosophy of Science•2021

  • The no-free-lunch theorems of supervised learning

    Open Access•Tom F Sterkenburg, Peter D Grünwald•Synthese•2021

  • No free theory choice from machine learning

    Open Access•Beth Rushing•Synthese•2022

  • The material theory of object-induction and the universal optimality of meta-induction

    Open Access•Gerhard Schurz, Paul Thorn•Studies in History and Philosophy…•2020

  • The Meta-inductivist's Winning Strategy in the Prediction Game

    Open Access•Gerhard Schurz•Philosophy of Science•2008

Unique citing works7
Citations per year1.17
Citation span2020 - 2025 (6)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 7

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