10/17/2022, 06:03 PM
Thank you, very interesting,
I hope also other forum user can share their mind. I need these info in finalizing my research. Since I'll have to explain it, and the audience of potential audience I'd like to reach is people made of people with experience in this topic, aka the tetration forum users too, I'm really interested in every opinion.
@daniel
can you expand on your point 2)? This seems an interesting philosophical position, I'd like to have more details.
About answer 3) I agree that a civilization able to master rank 4, 5, 6... would need incredible computational power available and/or a major conceptual and theoretical advance in how to manage functions of high complexity. Anyways, do you see, Daniel, the problem of fractional or even complex ranks to pose an even bigger obstacle, of do you see both big integers and non-integer ranks as having comparable difficulties for such an advanced civilization?
I hope also other forum user can share their mind. I need these info in finalizing my research. Since I'll have to explain it, and the audience of potential audience I'd like to reach is people made of people with experience in this topic, aka the tetration forum users too, I'm really interested in every opinion.
@daniel
can you expand on your point 2)? This seems an interesting philosophical position, I'd like to have more details.
About answer 3) I agree that a civilization able to master rank 4, 5, 6... would need incredible computational power available and/or a major conceptual and theoretical advance in how to manage functions of high complexity. Anyways, do you see, Daniel, the problem of fractional or even complex ranks to pose an even bigger obstacle, of do you see both big integers and non-integer ranks as having comparable difficulties for such an advanced civilization?
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)