A while back, before ChessTalk was split into chess forum and non-chess forum, I started a thread about infinity. I can't remember what prompted me to do so. But it was well responded to, and I particularly remember Fred Harvey saying it was the most interesting thread he had seen on ChessTalk in a long time.

I think that thread has disappeared here, along with many other non-chess topic threads. So what the hey, let's get it started again! For the sake of those who love chess AND love philosophy!

So here are my newest thoughts on infinity....

Trying to concisely (lol) define it ..... (concise being almost the opposite of infinity) ....

Here's what I now think of as concisely defining infinity:

Note that this definition of infinity is infinitely recursive. There is no termination condition. In (6), we define infinity in TERMS OF INFINITY.

I thought of (3) to (6) because if infinity was only increasing at some constant rate R, then that rate could be at some instant of time 1/R measured and quantized into a specific rate .... meaning that when you add 1 to that time period T, infinity increases by exactly some measureable, quantizable amount. No matter how small time T is, it is not infinitely small because it is 1/R and R is quantizable, meaning time T could be POTENTIALLY realizable as a "snapshot" and ... that would mean infinity COULD POTENTIALLY BE MEASURED OR QUANTIZED. In other words, a "snapshot" of infinity could be taken, hypothetically speaking.

Thus (3) to (6) are necessary to correctly define infinity, so that any snapshot time T can never be measured or quantized.

Which perhaps means something many people who have had a Near Death Experience (NDE) have tried to tell us .....

Time does not exist.

The concept of "everything" does not exist.

There is always MORE than EVERYTHING.

By this definition, I believe infinity is self-proving. By this definition, infinity proves that infinity exists.

If it is imaginable, it exists. Infinity is imaginable in the human mind. Not measurable, not quantifiable, but imaginable.

Our universe has been observed by latest measurements to be increasing in size AT AN INCREASING RATE. A microcosm of infinity???

I think that thread has disappeared here, along with many other non-chess topic threads. So what the hey, let's get it started again! For the sake of those who love chess AND love philosophy!

So here are my newest thoughts on infinity....

Trying to concisely (lol) define it ..... (concise being almost the opposite of infinity) ....

Here's what I now think of as concisely defining infinity:

**INFINITY IS....**

(1) not able to be measured or quantified

(2) ever-increasing

and the newest thoughts....

(3) ever-increasing at an ever-increasing rate R(1)

(4) R(1) is ever-increasing at an infinite rate R(2)

(5) R(2) is ever-increasing at an infinite rate R(3)

(6) infinitely repeating, such that R(N) is ever-increasing at an ever-increasing rate R(N+1) and N goes on to infinity(1) not able to be measured or quantified

(2) ever-increasing

and the newest thoughts....

(3) ever-increasing at an ever-increasing rate R(1)

(4) R(1) is ever-increasing at an infinite rate R(2)

(5) R(2) is ever-increasing at an infinite rate R(3)

(6) infinitely repeating, such that R(N) is ever-increasing at an ever-increasing rate R(N+1) and N goes on to infinity

Note that this definition of infinity is infinitely recursive. There is no termination condition. In (6), we define infinity in TERMS OF INFINITY.

I thought of (3) to (6) because if infinity was only increasing at some constant rate R, then that rate could be at some instant of time 1/R measured and quantized into a specific rate .... meaning that when you add 1 to that time period T, infinity increases by exactly some measureable, quantizable amount. No matter how small time T is, it is not infinitely small because it is 1/R and R is quantizable, meaning time T could be POTENTIALLY realizable as a "snapshot" and ... that would mean infinity COULD POTENTIALLY BE MEASURED OR QUANTIZED. In other words, a "snapshot" of infinity could be taken, hypothetically speaking.

Thus (3) to (6) are necessary to correctly define infinity, so that any snapshot time T can never be measured or quantized.

Which perhaps means something many people who have had a Near Death Experience (NDE) have tried to tell us .....

Time does not exist.

The concept of "everything" does not exist.

There is always MORE than EVERYTHING.

By this definition, I believe infinity is self-proving. By this definition, infinity proves that infinity exists.

If it is imaginable, it exists. Infinity is imaginable in the human mind. Not measurable, not quantifiable, but imaginable.

Our universe has been observed by latest measurements to be increasing in size AT AN INCREASING RATE. A microcosm of infinity???

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