The rational zero point and reinforcement

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.

Axioms for Rational Reinforcement Learning

We provide a formal, simple and intuitive theory of rational decision making including sequential decisions that affect the environment. The theory has a geometric flavor, which makes the arguments easy to visualize and understand. Our theory is for complete decision makers, which means that they have a complete set of preferences. Our main result shows that a complete rational decision maker i...

Reviewing the Zero Point Energy

A review of recent developments in the study of the Zero Point Energy (ZPE) is made. The origin and behavior of the electromagnetic fields making up the vacuum ZPE is elucidated. From this it is deduced that the ZPE should increase with time even in a static universe such as Narliker and Arp propose. The small oscillations that a static cosmos undergoes will add a variable component to the over...

Zero-One Law and Rational Quantifiers

We study extensions of finite variable logic Lω ∞ω by generalized quantifiers. We use strong version of so-called extension axioms and pebble games to show the zero-one law for the obtained logic. In some cases we show that the zero-one law does not hold by constructing a sentence with no limit probability. We construct these sentences with as few variables as possible and thus find the exact n...

The Zero - Point Field and Inertia