Petitionary Prayer

I was raised in a culture of petition, inculcated from an early age with a repertoire of formulaic prayers addressed to God, his angels, or his saints. All of the prayers assumed a response: Here I am, Lord, deserving of your attention, favor, heating, forgiveness. Never did it pass my mind that my prayers were not heard. My education was hemmed about with a huge body of stories affirming God's intervention in human affairs. Had not every religious person experienced firsthand the power of pr...

 Electrons Cannot Simultaneously Have Position and Velocity

On careful examination the physicist finds that in the sense in which he uses language no meaning at all can be attached to a physical concept which cannot ultimately be described in terms of some sort of measurement. A body has position only in so far as its position can be measured; if a position cannot in principle be measured, the concept of position applied to the body is meaningless, or in other words, a position of the body does not exist. Hence if both the position and velocity of ele...