Background. The importance of physical activity (PA) for maintaining and improving health status increases with each passing day. Objectives. The present study aimed to examine the effects of PA and nutritional education programs applied to 12th-grade students on body mass index (BMI), PA level, and eating habits during the COVID-19 pandemic. Methods. One hundred fifty-nine 12th grade student...

Abstract Justin Clarke-Doane offers what purports to be a stand-alone argument, relying on Gödel’s second incompleteness theorem, that if we hold PA + Con(PA) and ~ are equally true of their intended subjects, then there is no objective fact as whether consistent. It shown the argument fallacious, although illuminating: The fallaciousness arises from 20 th -century shift in our understanding in...

‎let $pa$ be a commutative banach algebra and $ex$ be a left banach $pa$-module‎. ‎we study the set‎ ‎$dec_{pa}(ex)$ of all elements in $pa$ which induce a decomposable multiplication operator on $ex$‎. ‎in the case $ex=pa$‎, ‎$dec_{pa}(pa)$ is the well-known apostol algebra of $pa$‎. ‎we show that $dec_{pa}(ex)$ is intimately related with the largest spectrally separable subalgebra of $pa$ and...

For a provably recursive function f : N→ N of PA one can consider the notion of f -consistency for PA, Conf (PA) := ∀xCon(PA f(x)), where PA k denotes the fragment of PA with induction restricted to Σk formulae. It was shown in [8] that for a certain slow growing function f the strength of PA + Conf (PA) lies strictly between PA and PA + Con(PA). Letting τBH be the Bachmann-Howard ordinal, this...