Zeno: I heard you read a blog post about infinity written in the future. How was it?
Archimedes: The post was informative, but I found it lacked originality.
Zeno: Really? I’ve always found infinity to be a fascinating concept.
Archimedes: It is a fascinating subject, but the author simply regurgitated what we already know.
“Hilbert introduced the Hilbert Hotel paradox in a 1924 lecture. The tale of Hilbert’s Hotel was a profoundly creative way of exploring the concept of infinity in that era. It challenged the minds of mathematicians and laymen alike, and showed them that infinity was not just a number, but a never-ending story waiting to be told.”
“There are even bigger problems within mathematics and its relationship with reality. The vast majority of modern physics is now based on mathematical models. But when neither light, nor atoms, can escape a black box in reality, how do we take a look?”
“For example, to determine if the number 13 is prime, we would need to check if it’s divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12. As you can imagine, this becomes increasingly time-consuming and complex as the number gets larger.”
“Our knowledge in the field of computing is extremely limited. We currently employ bits (0/1) at the core of our computers. Dealing with concurrency related issues is a major challenge while representing algorithms. Coming to think of it, the Turing machine itself is a deterministic, single-threaded machine. Can such algorithms ever account for, represent and eventually take the place of the human mind?”
“I believe that the real test of a theory of consciousness is to create artificial consciousness. I am not sure whether a simple Turing test would suffice for this, but it does seems inadequate. So is our mind simply an extremely complex computer running a complex bit of software?”
“But either way, it is you who is looking at your computer, moving your eye across this sentence trying to make any sense of it. You do exist. It would be unfair to exclude YOU from the theory of everything. Eventually, you sense this world. Shouldn’t YOU be of greater importance in it?”