Time Has A Start
Posted: July 4th, 2020, 6:11 am
A Little Puzzle - the Counting god
Imagine time has no start. Then imagine this immortal god. This god has been immortally counting the natural numbers. What number is he on at the present moment?
The answer is a the bottom of the post.
The Length of the Past Must Be Finite
I’ve demonstrated here that actual infinity is impossible:
viewtopic.php?f=2&t=16795
What this implies is that all numbers are finite. That makes prefect sense: all natural numbers are finite by mathematical induction: 1 is finite, if n is finite, n+1 is finite so all naturals are finite.
So now when we consider the length of the past, it is either a finite or non-finite number of days long, and the second is impossible.
Again, this should make perfect sense, time passing is just adding 1 to the count of days elapsed - there is no way addition of 1 can ever produce a non-finite number, so time must have a start.
Past Time Requires A Start
All systems require an initial state, else there are no subsequent states. The universe is a system, it requires an initial state… the start of time. That sounds self-evidently true, but I’ll prove it too:
1. Assume a system has no initial state (state 0)
2. Then it has no state 1 because state 1 is determined by the initial state (state 0)
3. If it has no nth state, it has no nth+1 state
4. So the system cannot exist at all
5. But we said it did - contradiction - All systems require an initial state
Physical Evidence
All we have to go on is the Big Bang, but that is consistent with a start of time. For example BGV Theorem shows that all expanding universes/multiverses require an initial spacetime boundary - IE a start of time.
Puzzle Answer - the Counting god
- He cannot be on a finite number, as then he would not be immortal
- He cannot be on a infinite number, as its impossible to count an reach a non-finite number
- So by process of exclusion, he must be on UNDEFINED
Why? Because he never started counting - there is no start of time to start counting from. All systems require an initial state, else there are no subsequent states - there was no initial state - The god never even started existing and in fact nor did the universe - the universe requires a start of time else it can’t exist.
Imagine time has no start. Then imagine this immortal god. This god has been immortally counting the natural numbers. What number is he on at the present moment?
The answer is a the bottom of the post.
The Length of the Past Must Be Finite
I’ve demonstrated here that actual infinity is impossible:
viewtopic.php?f=2&t=16795
What this implies is that all numbers are finite. That makes prefect sense: all natural numbers are finite by mathematical induction: 1 is finite, if n is finite, n+1 is finite so all naturals are finite.
So now when we consider the length of the past, it is either a finite or non-finite number of days long, and the second is impossible.
Again, this should make perfect sense, time passing is just adding 1 to the count of days elapsed - there is no way addition of 1 can ever produce a non-finite number, so time must have a start.
Past Time Requires A Start
All systems require an initial state, else there are no subsequent states. The universe is a system, it requires an initial state… the start of time. That sounds self-evidently true, but I’ll prove it too:
1. Assume a system has no initial state (state 0)
2. Then it has no state 1 because state 1 is determined by the initial state (state 0)
3. If it has no nth state, it has no nth+1 state
4. So the system cannot exist at all
5. But we said it did - contradiction - All systems require an initial state
Physical Evidence
All we have to go on is the Big Bang, but that is consistent with a start of time. For example BGV Theorem shows that all expanding universes/multiverses require an initial spacetime boundary - IE a start of time.
Puzzle Answer - the Counting god
- He cannot be on a finite number, as then he would not be immortal
- He cannot be on a infinite number, as its impossible to count an reach a non-finite number
- So by process of exclusion, he must be on UNDEFINED
Why? Because he never started counting - there is no start of time to start counting from. All systems require an initial state, else there are no subsequent states - there was no initial state - The god never even started existing and in fact nor did the universe - the universe requires a start of time else it can’t exist.