What is the meaning of 'two truths' in the Manorathapūraṇī?
I am not sure for this quote's quality because my english is terrible. However, this is the easiest way to answer on mobile phone.




  Realities - There are two realities - apparent and ultimate. Apparent reality is ordinary conventional truth (sammuti-sacca). Ultimate reality is abstract truth (paramattha-sacca).
  
  For instance, the smooth surface of the table we see is apparent reality. In an ultimate sense the apparent surface consists of forces and qualities or in other words, vibrations.
  
  For ordinary purposes a scientist would use the term water, but in the laboratory he would say H2O. In the same way the Buddha in the Sutta Pitaka resorts to conventional usage such as man, woman, being, self, etc., but in the Abhidhamma Pitaka He adopts a different mode of expression. Here He employs the analytical method and uses abstract terms such as aggregates (khandha), elements (dhātu), bases (āyatana), etc.


http://www.palikanon.com/english/sangaha/chapter_1.htm