How much will be the gravity force between two weights each of which with 1 kg at zero distance? If you ask Newton the answer will unconditionally be infinity but Archimedes would say extreme for sure but not necessary infinite. Here is why: The force in Archimedes’s physics is more like geometrical potential the body has. Geometrical potential is sort of storage for the geometrical distance form the center yet to be achieved. Now lets begin from the end i.e. let the weights be on zero distance (in the center of the lever). Now if you arm each weight with 1 N in opposite direction the weights wont end in infinity but their extreme distance i.e. the distance when all the force is exhausted will be finite. Now arm them with 2 N per each. When they combust that force they’ll achieve twice longer distance than before. So, the only case of having infinite force at zero distance is when they were released from infinite distance with zero force.