Can one still be a Muslim if he/she denies some verses that he/she found outdated or illogical?

To address the question of whether someone can still be a Muslim if they deny certain verses of the Qur'an as outdated or illogical, we can consider relevant teachings from the Qur'an and hadith.

The Qur'an emphasizes the importance of belief in all its revelations. For instance, it states: Hast thou not seen how those who have received a portion of the Scripture invoke the Scripture of Allah (in their disputes) that it may judge between them; then a faction of them turn away, being opposed (to it)? 3:23. This verse suggests that turning away from the guidance provided in the Qur'an is a serious matter.

Furthermore, the hadith literature reinforces this perspective. In Sahih al-Bukhari, it is reported that the Prophet Muhammad ﷺ said: The reward of deeds depends upon the intentions and every person will get the reward according to what he has intended. So whoever emigrated for worldly benefits or for a woman to marry, his emigration was for what he emigrated for. Sahih al-Bukhari 1:1. This highlights the significance of intentions in one's faith and actions.

From a theological standpoint, both Sunni and Shia scholars emphasize that rejecting any part of the Qur'an can lead to a deviation from Islam. Ibn Kathir explains that disbelief in any part of the divine revelation can result in a person's faith being questioned. Similarly, Al-Mizan notes that the acceptance of all verses is essential to maintaining one's belief in Allah and His Messenger.

Thus, rejecting certain verses of the Qur'an as outdated or illogical is seen as a serious issue that can jeopardize one's status as a Muslim. The core belief in the Qur'an as the final revelation is fundamental to Islamic faith, and scholars across both traditions agree on the necessity of embracing the entirety of its teachings.