We investigate invariant random subgroups in groups acting on rooted trees. Let $\mathrm{Alt}_f(T)$ be the group of finitary even automorphisms $d$-ary tree $T$. prove that a nontrivial ergodic IRS acts without fixed points boundary $T$ contains level stabilizer, particular it is conjugate finite index subgroup. Applying technique to branch we an regular derived subgroup generalized rigid sta...

Vague language is observed in elements that make the meaning unclear. In this pragma-linguistic paper, authors aim to review different proposed theories and definitions of vague were suggested middle past century. Through discourse analysis usage, justify politeness communication, gender, culture, press releases, education. Authors found there dissatisfaction among speakers with describing term...

In 1978, Gareth Evans published a short and somewhat cryptic
 article purporting to establish that there are no vague objects. This
 paper is commentary on this. Prima facie, the claim there
 objects clearly false. Mt Everest, for example, has no
 precise boundaries. And if this so, must be something wrong
 with Evans' argument. paper, I discuss what is, giving a
 ...