A Geometry Book Copied Forever
Could a world that had always existed explain itself? Leibniz imagines an endlessly copied geometry book to show why it could not.
Suppose a book on the elements of geometry had always existed, each copy made from an earlier one. Every copy is explained by the one before, and still nothing explains why there is such a book at all, or why it says what it says. Go back through the states of the world as far as you like and the same gap remains: none of them gives the reason why there is a world, or why it is this one. That reason must lie outside the series, in a being whose existence needs no further reason.
- sufficient reason
- cosmological argument
- contingency
- necessity
- existence
- causation
- eternity
- god
Enter a dialogue
- Every copy of the geometry book is explained by the one before. Why isn’t an endless chain of explanations enough?
- Someone explains each thing in their life by the thing before it and feels no further question. What are they missing?
- The world might have had no beginning and always existed. Would that remove the need for a reason outside it?
- You say God must be a being whose very nature includes existing. Why could the world itself not be that being, needing no further reason?
- Once the world is as it is, its later states follow by laws. Does that make the whole world necessary?