An Irish philosopher and an English philosopher had what issue between them? 
John Gay (philosopher):  The greatest happiness principle, Gay supposed, represented a middle ground between the egoism of Hobbes and Hutcheson's moral sense theory. Francis Hutcheson (philosopher): The Rev. Francis Hutcheson (8 August 1694 – 8 August 1746) was an Irish philosopher born in Ulster to a family of Scottish Presbyterians who became known as founding fathers of the Scottish Enlightenment.
egoism