The purpose of this platform study is to evaluate the effect of anti-inflammatory agents on cognition in early Alzheimer's disease. Additionally, the safety and tolerability of these anti-inflammatory agents and the effects on central and peripheral inflammation will be evaluated. This is a randomized, placebo-controlled, participant- and investigator-blinded study in participants with either mild cognitive impairment or mild Alzheimer's disease with evidence of peripheral inflammation. This study is using a platform design to be able to investigate different agents (therapies) in a perpetual manner. Each unique investigational agent will have a unique cohort of participants assigned. New cohorts of participants may be enrolled to investigate additional agents at unspecified timepoints throughout the study. There are three periods in the study: screening period of 60 days that includes a baseline period of 5 days, a treatment period (20 weeks) and a follow-up period (28 days) and an additional follow-up visit for therapies with a longer washout.