cavilar bedeutet auf Englisch

muse [mused, musing, muses]▼(to think on; to meditate on)
verb
[UK: mjuːz] [US: ˈmjuːz]

ponder [pondered, pondering, ponders]▼(to think deeply)
verb
[UK: ˈpɒn.də(r)] [US: ˈpɑːn.dər]

reflect [reflected, reflecting, reflects]▼(to think seriously; to ponder or consider)
verb
[UK: rɪ.ˈflekt] [US: rə.ˈflekt]

think through▼(to fully consider)
verb
[UK: ˈθɪŋk θruː] [US: ˈθɪŋk θruː]