When discussing abstract ideas, you often need to make absolute statements referring to "everything." You already know the basic form wszystko for subjects and direct objects. Here is how it changes in the remaining grammatical cases.
The Genitive Case: Wszystkiego
The Genitive form of wszystko is wszystkiego. Use it with verbs that require the Genitive, like dotyczyć (to concern / apply to).
The Dative Case: Wszystkiemu
The Dative form is wszystkiemu. Use it with verbs that require the Dative, such as dziwić się (to be surprised by) and sprzeciwiać się (to oppose).
The Instrumental Case: Wszystkim
The Instrumental form is wszystkim. It is commonly used with descriptive adjectives like rozczarowany (disappointed with) and zachwycony (delighted with / amazed by).
The Locative Case: Wszystkim
Conveniently, the Locative form is also wszystkim. Use it after Locative prepositions, such as o (about).
Applying Cases to Abstract Nouns
These same case rules apply to abstract nouns like wszechświat (universe), pojęcie (concept), and zjawisko (phenomenon). For example, verbs like dziwić się and sprzeciwiać się force these nouns into the Dative case:
With adjectives like zachwycony, the noun takes the Instrumental case:
After the preposition o (about), use the Locative case: