Walking represents living, and usually means living according to the true things taught to us by the Lord -- to "walk in His ways." When the Lord is pictured walking, it means life itself.

8799. 'For he will surely be stoned' means that [as a result] the truths of faith which they possess will be destroyed. This is clear from the meaning of 'being stoned' as the punishment for falsity and for the violation of truth, dealt with in 5156, 7456, 8575. The reason why that is the punishment suffered by those who in arrogant self-confidence ascend to the Divine in a heaven above is that when they do this all the intelligence they possessed previously is destroyed; for they are seized then by blindness, see just above in 8797.