Almost everything positive ascribed to Arabic medieval science and civilization is first and foremostly stolen/emulated/absorbed pre-islamic Persian-Zoroastrian civilzation (especially art, architecture, administration and technology), closely followed by Christian, Jewish, Indian, Chinese achievements in the fields of science and medicine.
Many "Arabic Islamic" scholars were actually converted Jews, Christians and Zoroastrians.
Genuinly Arabic-Islamic culture is close to nothing. They were either nomadic robbers, desert warriors or small urbanite tradesman who subjugated superior civilizations which were weakened by internal strife and centuries of war (Persian-Byzantine wars).
With the end of the Middle Ages any significant activity of "Arabic Islamic" science ended.
Sarkozy's remarks are IMO over the top pandering and fly in the face of facts.