The logo used by the Methodist Church is the red & white orb:

It depicts two of our four central beliefs, which are often expressed as "the four alls":

        All need to be saved
        All can be saved
        All can know that they are saved
        All can be saved to the uttermost.
The red orb stands for the world, which is red to stand for sin. Christians believe that the world has been spoiled by human sin - our tendency to do, and say, the wrong thing and to be selfish.
Over the red orb is a white cross. White is the colour of purity, and it represents the salvation offered to everyone by Jesus Christ. "Salvation" means that we are set free of our sinful impulses and habits. Sometimes this happens quickly, sometimes it takes many years. Being saved "to the uttermost" is to be completely free of all sinful, selfish impulses, which few people reach in their lifetime.
But we do change, when Jesus works in us, and we can be aware of the changes that take place, as we become more loving and patient. We can know that we belong to Jesus, and that he is working in us.