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A formal proof of the Born rule from decision-theoretic assumptions
Everett interpretation Probability in quantum theory
2009/6/19
I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics...
Quantum Probability from Subjective Likelihood: improving onDeutsch's proof of the probability rule
Everett Probability Decision Theory
2008/4/22
I present a proof of the quantum probability rule from decision-theoretic assumptions, in the context of the Everett interpretation. The basic ideas behind the proof are those presented in Deutsch's r...
Counterfactual Logic and the Hardy Paradox: Remarks on Shimony and Stein's Criticism of Stapp's Proof
Counterfactuals possible worlds quantum entanglement
2008/4/10
This is an extended critique of comments made by Abner Shimony and Howard Stein on Henry Stapp’s proof of the non-locality of quantum mechanics. Although I claim that ultimately Stapp’s proof does not...
ASPECTS OF PROOF: SPECIAL ISSUE OF EDUCATIONAL STUDIES IN MATHEMATICS
SPECIAL ISSUE OF EDUCATIONAL MATHEMATICS
2008/4/8
It can be uncomfortable for the mathematician to come to terms with the social and temporal nature of proof standards or, for that matter, the undecidability of formal logical statements: it does, aft...
THE MYTHIC QUEST OF THE HERO: STEPS TOWARDS A SEMIOTIC ANALYSIS OF MATHEMATICAL PROOF
MATHEMATICAL THE MYTHIC QUEST OF THE HERO
2008/4/8
This is a speculative exploration of the semiotics of mathematical text which draws upon diverse sources from philosophy, mythology and literary criticism. It represents an incomplete opening of a lin...
PHILOSOPHICAL PERSPECTIVES ON PROOF IN MATHEMATICS EDUCATION
PHILOSOPHICAL PERSPECTIVES MATHEMATICS EDUCATION
2008/4/8
This research reviewed literature on proof in mathematics education. Several views of proof classified and identified such as psychological approach, (Platonism, empiricism), structural approach, (log...