In 4th century BC Athens all of these could more or less have bumped into each other: Pericles Alcibiades Aristophanes Aeschylus Sophocles Euripides Socrates Plato Xenophon Diogenes the Cynic Anaxagoras Hippocrates Democritus Empedocles Herodotus Thucydides
I'm not at all certain that these things happened by chance. When it comes to your example, for instance, the political situation in Florence and the practices of the powerful Medici family had a big impact on the flourishing of 'renaissance' art.