The Greek verb dialegomai means to reason through something, to hold a discussion, to dispute or debate. It is the root of the English word 'dialogue' and describes intellectual engagement — reasoning back and forth with others.
In Acts, dialegomai is the characteristic method of Paul's evangelism. He 'reasoned from the Scriptures' in synagogues and marketplaces, engaging the intellect of his hearers rather than simply proclaiming. This reflects the Greek tradition of philosophical dialogue — but Paul's 'dialegomai' aimed at persuasion about Jesus.
Theologically, dialegomai shows that Christianity is a reasoning faith. Paul did not avoid hard questions but engaged them. The gospel can withstand scrutiny — believers are called to love God with their minds as well as their hearts.