(… وَتِلْكَ حُجَّتُنَا آتَيْنَاهَا إِبْرَاهِيمَ عَلَىٰ قَوْمِهِ) (And that was Our [conclusive] argument which We gave Abraham against his people. …): Even the Messengers came with proofs, in order to convince minds. This is because, Allah (swt) is the Creator of the human mind, which is the focal point for being tasked with responsibilities (in religion). Due to this great honour given to the human mind, we witness what Allah (swt) says when He created Adam (PBUH): 

 وَإِذْ قَالَ رَبُّكَ لِلْمَلاَئِكَةِ إِنِّي جَاعِلٌ فِي الأَرْضِ خَلِيفَةً قَالُواْ أَتَجْعَلُ فِيهَا مَن يُفْسِدُ فِيهَا وَيَسْفِكُ الدِّمَاء وَنَحْنُ نُسَبِّحُ بِحَمْدِكَ وَنُقَدِّسُ لَكَ قَالَ إِنِّي أَعْلَمُ مَا لاَ تَعْلَمُونَ

(Remember) when your Lord said to the angels, “I am going to place a successive (human) authority on earth.” They asked, “Will You place in it someone who will spread corruption there and shed blood while we glorify Your praises and proclaim Your holiness?” Allah responded, “I know what you do not know.”) (Al-Baqara: 30)

Here, Allah (swt) used knowledge as a reason, and the mind is the center for knowledge and the reason for being tasked with responsibilities. This is Islam, which speaks of knowledge. So let no one outbid us in the topic of knowledge, faith and the human mind, for these are clearly among the main things which have been given importance in the Islamic Law. 

In summary, when Allah (swt) says: {This was Our own decisive proof}, it shows that He willed that people believe through the mind, knowledge, arguments and proofs. As such, He gave evidence and proofs to the Prophets (PBUT).

(  إِنَّ رَبَّكَ حَكِيمٌ عَلِيمٌ… ) (…Indeed, your Lord is Wise and Knowing.): Here, Allah (swt) uses the Attributes of Knowledge and Wisdom, as the topic of the verse is connected to proofs, the mind and evidence. For wisdom is placing something in the proper order at its correct place.