What is the significance of the statement that the children are partakers of flesh and blood? The connection shows clearly, but we have also a hint in 1 Corinthians 15.50
"The offense of the cross is that the cross is a confession of human frailty and sin and of inability to do any good thing. To take the cross of Christ means to depend solely on Him for everything, and this is the abasement of all human pride. Men love to fancy themselves independent. But let the cross be preached, let it be made known that in man dwells no good thing and that all must be received as a gift, and straightway someone is offended."