Two Versions of Hume's Law

Two Versions of Millianism

Two alternative versions of strangeness

The concept of strangeness emerged from the low energy phenomenology before the entry of quarks in particle physics. The connection between strangeness and isospin is rather accidental and loose and we recognize later that the definition of strangeness is model-dependent. Indeed, in Gell-Mann's triplet quark model we realize that there is a simple alternative representation of strangeness. When...

Game-theoretic versions of Kolmogorov’s strong law of large numbers

We prove two variants of Kolmogorov’s strong law of large numbers in a completely worst-case framework, eschewing any probabilistic assumptions. The first variant is an assertion about a game involving the Bookmaker predicting the values of unprobabilized random variables; in an intuitive sense it is much stronger than the usual strong law of large numbers for martingales. The second variant is...

two versions of jāmiʻ al-tamthīl

jāmiʻ al-tamthīlwas written in 11th century ah. by muḥammad ʻalī hablehrūdī. this book is a collection of proverbs, insights and anecdotes and some sermons associated with them. there are a lot of manuscripts of this book in different libraries all over the world. the authors have found two different forms of writing through their critical corrections. although both forms are generally similar,...

Causal inference with two versions of treatment

Raiden B. Hasegawa, Sameer K. Deshpande, Dylan S. Small and Paul R. Rosenbaum1 University of Pennsylvania, Philadelphia Abstract. Causal effects are commonly defined as comparisons of the potential outcomes under treatment and control, but this definition is threatened by the possibility that either the treatment or the control condition is not well-defined, existing instead in more than one ve...