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This dissertation includes many theorems which show how to change largecardinal properties with forcing. I consider in detail the degrees ofinaccessible cardinals (an analogue of the classical degrees of Mahlocardinals) and provide new large cardinal definitions for degrees ofinaccessible cardinals extending the hyper-inaccessible hierarchy. I showedthat for every cardinal $\kappa$, and ordinal $\alpha$, if $\kappa$ is$\alpha$-inaccerssible, then there is a $\mathbb{P}$ forcing that $\kappa$which preserves that $\alpha$-inaccessible but destorys that $\kappa$ is$(\alpha+1)$-inaccessible. I also consider Mahlo cardinals and degrees of Mahlocardinals. I showed that for every cardinal $\kappa$, and ordinal $\alpha$,there is a notion of forcing $\mathbb{P}$ such that $\kappa$ is still$\alpha$-Mahlo in the extension, but $\kappa$ is no longer $(\alpha +1)$-Mahlo.I also show that a cardinal $\kappa$ which is Mahlo in the ground model canhave every possible inaccessible degree in the forcing extension, but no longerbe Mahlo there. The thesis includes a collection of results which give forcingnotions which change large cardinal strength from weakly compact to weaklymeasurable, including some earlier work by others that fit this theme. Iconsider in detail measurable cardinals and Mitchell rank. I show how to changea class of measurable cardinals by forcing to an extension where all measurablecardinals above some fixed ordinal $\alpha$ have Mitchell rank below $\alpha.$Finally, I consider supercompact cardinals, and a few theorems about stronglycompact cardinals. Here, I show how to change the Mitchell rank forsupercompactness for a class of cardinals.

Force to change large cardinal strength