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If I attempt to slide a block across the table, according to Newton's 3rd Law no matter how hard I push on that block there will be an equal and opposite force to cancel out the force I exert.

Obviously, this is not true, since frictional force is completely dependent upon normal force. Once the maximum value of the frictional force is exceeded, the block moves. However, this seems to contradict that there would be an equal and opposite reaction for every action.

In other words, there exists a very large chasm in my understanding of the most fundamental laws of physics, and it requires filling.