Does the Qur'an contain the roots of every science?

This question concerns the reach of the Qur'anic sciences: al-Zarkashi opened al-Burhan with Abu Bakr ibn al-Arabi's words on the number of the Qur'anic sciences; al-Suyuti devoted a type in al-Itqan to the sciences derived from the Qur'an, saying God's Book contains everything; and a modern academic study has criticised that view. ^{1 2 3}

Muhammad Rizq Satur reports that al-Qadi Abu Bakr ibn al-Arabi said in Qanun al-Ta'wil that the Qur'anic sciences number 77,450, the count of the Qur'an's words multiplied by four, because, according to some of the early generations, each word has an outward and an inward sense, a limit and an end-point (maqta') — and that this is before counting its constructions and connections, which only God can number. ¹ He then reduces their roots to three: divine unity, reminder and rulings. ¹

Layla Muhammad Mas'ud's thesis quotes al-Suyuti in al-Itqan: God's mighty Book contains everything; there is no chapter or root question of any science without something in the Qur'an pointing to it; it holds the wonders of creation, the kingdom of the heavens and earth, the beginning of creation, the names of the famous messengers and angels, the chief reports of past nations, the branches of faith and the kinds of major sins; and she notes that he listed in it medicine, dialectic, astronomy, geometry, algebra and crafts such as smithing, carpentry and spinning. ^{2 3}

The researcher judges that al-Suyuti was not well advised here: the Qur'an is law and guidance for Muslims, fit to order this life safely towards the next; its verses hold broad indications, some of which may be read as principles of the sciences, not scientific theories that may hold one day and change the next; a student of medicine, engineering or the crafts cannot rely on reciting the Qur'an instead of studying them with their masters; and any indication of an established scientific fact is evidence of the Qur'an's inimitability, not of its being a book of science from which all sciences are taken. ³