Contradiction with Hebrews 4:3
While Psalms 95:11 speaks of God swearing that certain people would not enter His rest, Hebrews 4:3 states that believers do enter God's rest, suggesting an inclusive aspect for those who have faith.
Hebrews 4:3: For we which have believed do enter into rest, as he said, As I have sworn in my wrath, if they shall enter into my rest: although the works were finished from the foundation of the world.
Contradiction with Matthew 11:28
Psalms 95:11 indicates denial of rest, whereas Matthew 11:28 is an invitation from Jesus for all who are weary to come to Him for rest, which contradicts the idea that rest is denied.
Matthew 11:28: Come unto me, all [ye] that labour and are heavy laden, and I will give you rest.
Contradiction with Revelation 14:13
Psalms 95:11 implies exclusion from rest, contradicting Revelation 14:13, which promises rest to those who die in the Lord, indicating an assurance of rest for believers after death.
Revelation 14:13: And I heard a voice from heaven saying unto me, Write, Blessed [are] the dead which die in the Lord from henceforth: Yea, saith the Spirit, that they may rest from their labours; and their works do follow them. [from henceforth...: or, from henceforth saith the Spirit, Yea]
Paradox #1
The contradiction in Psalms 95:11 could be seen in the idea of divine punishment or denial of rest to a group of people despite their efforts or actions for redemption. This might conflict with the notions of forgiveness and second chances that are also present in other parts of religious teachings.