I.
adj.
Higher is used with these nouns: ↑ animal , ↑ bracket , ↑ classification , ↑ consciousness , ↑ court , ↑ degree , ↑ diploma , ↑ education , ↑ faculty , ↑ learning , ↑ level , ↑ limit , ↑ mammal , ↑ mathematics , ↑ organism , ↑ plane , ↑ power , ↑ self , ↑ share , ↑ slope , ↑ tribunal
II.
adv.
Higher is used with these verbs: ↑ rise