The document discusses research on the philosophy for children (P4C) education program. It analyzes video recordings of P4C workshops with children ages 6-14 in France to describe the collective construction of children's reasoning. The analysis uses theories of speech acts, interlocutory logic, and pragmatism. It identifies different types of "philosophemes" that emerge from the children's discussions, which collectively build conceptual understanding around a shared referent through the exchange of ideas. The description of these philosophemes provides new insights into children's early abstract thinking abilities.