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We introduce a new and natural stationary set preserving forcing $\mathbbP^{c-c}({\lambda},{\mu})$ that (under ${\rm NS}$ precipitous + existence of$H_{\theta}^#$ for a sufficiently large regular ${\theta}$) increases thesecond uniform indiscernible $u_2$ beyond some given ordinal ${\lambda}$. Theforcing $\mathbb P^{c-c}$ shares this property with forcings defined in [9] and[2]. As a main tool we use certain natural open two player games which are ofindependent interest, viz. the capturing games $G^{cap}(X)$ and thecatching-capturing games $G^{c-c}(X)$. In particular, these games are used toisolate a special family of countable elementary submodels $M \prec H_{\theta}$that occur as side conditions in $\mathbb P^{c-c}$ and thus allow to controlthe forcing in a strong way.

Increasing the second uniform indiscernible by strongly ssp forcing