TPF : Numbers and Information
Posted: Tue Sep 10, 2024 11:06 am
https://thephilosophyforum.com/discussi ... rmation/p1
"Information, at least the information we might be familiar with in computers, certainly seems number-like."
____hypericin
At the time I had this epiphany, the insight arose, 'so this is why ancient philosophy held arithmetic in high esteem. It was certain, immutable and apodictic.' These are attributes of a higher cognitive functionality, namely rational insight. Of course, I was to discover that this is Platonism 101, and I'm still drawn to the Platonist view of the matter. The philosophical point about it is that through rational thought we have insight into a kind of transcendental realm. — Wayfarer
I'm not qualified to engage in this profound thread, but your "epiphany" suggested a relationship between Numbers and Information that is not covered by Shannon's engineering theory, yet may be implicit in Plato's broader philosophical worldview.
Shannon's digital Information is defined in terms of pragmatic, physical, immutable, apodictic distinctions. But Plato's ideal Numbers*1 were non-physical, non-sensible things in a realm beyond time and space (transcendent). Ironically, the latter may be more applicable to mundane human use of Information with analog values, personal meanings, and perhaps even fractal dimensions, that don't lend themselves to yes/no digitization.
Quantum Physics has analyzed reality down, not to atoms of value & meaning, but to oceans of value (the Quantum Field) that lie, not on a simplistic linear number line, but in a "transcendent" state-of-being where "real" particles of Matter are temporary, conditional, and statistically probable. Could Plato's ideal non-sensible mathematical realm correspond to that hypothetical abstract mathematical sphere-of-Influence that physicists call "the universal quantum field"*2?
In Plato's Cave allegory, material things in the sensible world are merely shadows of an illuminated-but-unreal domain. Likewise, our social meanings and linguistic information consist of imperfect analog values that are close enough to absolute True/False to be useful for communication. Not Identical, but relative.
Conservative Physicists probably don't think of the Quantum Field as "transcendent", so exploring that possibility is left to Liberal (new-agey ; mystical energy) Metaphysicians*3. Personally, I doubt that there are any practical real-world applications of transcendental preternatural information, such as access to "unlimited knowledge". But the theoretical philosophical implications of perfection may be of interest to those who like to reason beyond immanent Materialism and utilitarian Mechanism.
*1. Mathematical Platonism :
the doctrine that there exist abstract objects—objects that are wholly nonspatiotemporal, nonphysical, and nonmental . . . . based on the postulation of unchanging and eternal realities known as forms.
https://www.britannica.com/topic/mathematical-Platonism
*2. The Universal Field Theory is not a physics theory in a classical sense. It is rather a philosophical theory explaining Why and How physical phenomena appear.
https://theuniversalfieldtheory.com/
*3. What is Quantum Transcendence? :
I just googled QT and got this hit.
https://www.1to1coachingschool.com/QEC_ ... aching.htm
"Information, at least the information we might be familiar with in computers, certainly seems number-like."
____hypericin
At the time I had this epiphany, the insight arose, 'so this is why ancient philosophy held arithmetic in high esteem. It was certain, immutable and apodictic.' These are attributes of a higher cognitive functionality, namely rational insight. Of course, I was to discover that this is Platonism 101, and I'm still drawn to the Platonist view of the matter. The philosophical point about it is that through rational thought we have insight into a kind of transcendental realm. — Wayfarer
I'm not qualified to engage in this profound thread, but your "epiphany" suggested a relationship between Numbers and Information that is not covered by Shannon's engineering theory, yet may be implicit in Plato's broader philosophical worldview.
Shannon's digital Information is defined in terms of pragmatic, physical, immutable, apodictic distinctions. But Plato's ideal Numbers*1 were non-physical, non-sensible things in a realm beyond time and space (transcendent). Ironically, the latter may be more applicable to mundane human use of Information with analog values, personal meanings, and perhaps even fractal dimensions, that don't lend themselves to yes/no digitization.
Quantum Physics has analyzed reality down, not to atoms of value & meaning, but to oceans of value (the Quantum Field) that lie, not on a simplistic linear number line, but in a "transcendent" state-of-being where "real" particles of Matter are temporary, conditional, and statistically probable. Could Plato's ideal non-sensible mathematical realm correspond to that hypothetical abstract mathematical sphere-of-Influence that physicists call "the universal quantum field"*2?
In Plato's Cave allegory, material things in the sensible world are merely shadows of an illuminated-but-unreal domain. Likewise, our social meanings and linguistic information consist of imperfect analog values that are close enough to absolute True/False to be useful for communication. Not Identical, but relative.
Conservative Physicists probably don't think of the Quantum Field as "transcendent", so exploring that possibility is left to Liberal (new-agey ; mystical energy) Metaphysicians*3. Personally, I doubt that there are any practical real-world applications of transcendental preternatural information, such as access to "unlimited knowledge". But the theoretical philosophical implications of perfection may be of interest to those who like to reason beyond immanent Materialism and utilitarian Mechanism.
*1. Mathematical Platonism :
the doctrine that there exist abstract objects—objects that are wholly nonspatiotemporal, nonphysical, and nonmental . . . . based on the postulation of unchanging and eternal realities known as forms.
https://www.britannica.com/topic/mathematical-Platonism
*2. The Universal Field Theory is not a physics theory in a classical sense. It is rather a philosophical theory explaining Why and How physical phenomena appear.
https://theuniversalfieldtheory.com/
*3. What is Quantum Transcendence? :
I just googled QT and got this hit.
https://www.1to1coachingschool.com/QEC_ ... aching.htm