Is Space a Thing, or an Order of Relations?
Could God have put the whole world at a different spot in space? For Clarke, defending absolute space, the question made sense; for Leibniz it shows that space is only an order among things.
Leibniz answered Clarke with two principles. Nothing happens without a sufficient reason, so God could have had no reason to place the world at one spot in absolute space rather than another; and no two things are exactly alike. If space were a real thing, its places would be indiscernible from one another, and choosing among them would be a choice without a reason. Space and time can therefore only be orders of relations among things. Clarke held his ground for absolute space and time and for empty space and atoms. H. G. Alexander’s 1956 edition traced the question forward to Einstein.
- space
- time
- absolute space
- relationalism
- relations
- principle of sufficient reason
- sufficient reason
- identity of indiscernibles
- vacuum
- matter
- motion
- creation
Enter a dialogue
- God could have created the world a year sooner, someone objects. You answer that this treats time as something apart from events. What is wrong with that?
- Clarke, Newton's ally, says God's will alone explains where the world sits in space. Why do you refuse to call that a sufficient reason?
- Someone feels small against infinite empty space. What changes for them if space is only an order among things?
- As a boy you believed in atoms and empty space until reason brought you back. Why is picturing the void a sign of imagination rather than reason?
- If space is only an order among things, Newton's ally Clarke says, God could speed the whole world along a line unchanged. Is that absurd?