You asked

what was the pharisees' primary concern in these sabbath debates with jesus?

The passage, plainly, with room to sit with it.

Mark 2:27-28

“He said to them, “The Sabbath was made for man, and not man for the Sabbath; therefore the Son of Man is lord even of the Sabbath.””

Jesus and his disciples are walking through grain fields on the Sabbath, plucking heads of grain to eat. The Pharisees accuse them of breaking the Sabbath law, and Jesus responds by citing Old Testament examples and then offering this explanation.

What does it mean for a practice or tradition to serve humanity rather than humanity serving it?

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Read alongside it

Matthew 12:1-8
This parallel account includes an additional quote from Hosea about mercy over sacrifice.
Luke 13:10-17
Jesus heals a woman on the Sabbath, challenging the Pharisees' strict interpretation of what is permissible.
Exodus 20:8-11
The foundational commandment for keeping the Sabbath, emphasizing rest and remembrance of creation.

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