With respect to knowledge, what is the difference between the information of the concept and the actual phenomena?
Imagination is more important than knowledge. Knowledge is limited. Imagination encircles the world. — Albert Einstein (In Cosmic Religion: With Other Opinions and Aphorisms (1931))
How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality? — Albert Einstein (From the lecture, 'Geometry and Experience').
How else could philosophy have existed this long? — BrianW
You conflate imagination and mental conception.My faculty of mental conception (imagination) allows me to create events that are not a part of my 'normal' experience. — BrianW
Knowledge extracted solely from experiential and practical information is much deficient than that which has been imbued with creativity. Higher human intelligence constantly endeavours more towards creative processes of knowledge (through insight and intuition) than mere translation of experiences. And as Einstein puts it, it's because the creative processes are not as limited as those dependent on experience or empiricism.
Mathematics is indeed a product of human thought, hence independent of human experience for its rules, but is nonetheless always dependent exclusively on human experience for its proofs. Depending on where one stands between the extremes of empiricism and rationalism, the case can be made that math isn’t appropriate to the objects of reality so much as the objects of reality are appropriate to math. Especially nowadays, when the theoretical predictions are strictly mathematically grounded, which requires our experimentation to be set up in accordance to that which the math determines we should discover. — Mww
The axiomatic structure (A, Systems of Axioms) of a theory is built psychologically on the experiences (E, Totality of Sense Experiences) of the world of perceptions. Inductive logic cannot lead from the (E) to the (A). The (E) need not be restricted to experimental data, nor to perceptions; rather, the (E) may include the data of Gendanken experiments. Pure reason (i.e., mathematics) connects (A) to theorems (S, Deduced Laws). But pure reason can grasp neither the world of perceptions nor the ultimate physical reality because there is no procedure that can be reduced to the rules of logic to connect the (A) to the (E). — Einstein, A. (7 May 1952). Letter to Maurice Solovine
Less certain, continued Einstein, is the connection between the (S) and the (E). If at least one correspondence cannot be made between the (A) and (S) and the (E), then the scientific theory is only a mathematical exercise. Einstein referred to the demarcation between concepts or axioms and perceptions or data as the 'metaphysical original sin' (1949); and his defense of it was its usefulness. For whereas the problem of the relation between perceptions and mental images or concepts may well be interesting physiologically (e.g., How do neural firings lead to images?) or philosophically (e.g., philosophy of mind or metaphysics), it is of no concern to the working scientist - at least not to Einstein, who also displayed a good nose for philosophical problems. — Miller, Arthur I. 1984. Imagery in Scientific Thought Creating 20th Century Physics. Boston. Birkhauser, pp. 45-46.
Physical reality can be grasped not by pure reason (as Kant has asserted), but by pure thought. — Einstein, A. (1933). On the Method of Theoretical Physics. Lecture delivered on 10 June 1933 at Oxford University.
Cognitive researcher Donald Hoffman, in his recent book, The Case Against Reality, offers an interesting metaphor that may shed some light on your question. He calls it "the interface theory of perception (ITP)". By analogy to the display screen (interface) of your computer or phone, he notes that the icons you see are not the "actual phenomena", but merely symbols that you interpret as-if they are the hidden mechanisms inside the computer that do the actual work, and the ideas that are encoded in the original document.After such considerations of concepts and actual phenomena, only one question remained to be answered. That is...
"With respect to knowledge, what is the difference between the information of the concept and the actual phenomena?" — BrianW
How else could philosophy have existed this long? — BrianW
Hence, you never see the ding an sich with your eyes, but merely a collection of photons that are converted to chemical and electrical codes that in turn remind your brain of a similar "object" that you have experienced before. — Gnomon
Mathematics is indeed a product of human thought, hence independent of human experience for its rules... — Mww
Information is meaningful difference — Gnomon
2) Wouldn't conflate imagination (faculty which entails insight or creativity) and conceptualisation, because while imagination entails insight (metacognitive comprehension), it doesn't entail understanding (experiential comprehension). Reflection (examination of experience) entails understanding. — Galuchat
For example, when you imagine you can fly, you are simply conceptualizing yourself ‘as is’ except with the ability to fly like birds or planes. No insight there, just less constrained by the ‘reality’ of gravity, as if you were in space. — Sir Philo Sophia
but to me it seems that as you describe the limits, you have given your mind a way to think beyond them. — ZhouBoTong
I can imaging the concept of infinity, but can never enable my mind/imagination to in any way experience it. — Sir Philo Sophia
I'd be very interested if anyone as even one example of anything imagined that is not some analogical morphing/variant/extension of (combination) something(s) known/experienced. — Sir Philo Sophia
Well as we are talking about what can be imagined, not experienced, it seems you can imagine infinity. — ZhouBoTong
To me, this is just saying that we can't describe something that can't be described. — ZhouBoTong
So, you think 'imagination' is about math formulas and recursive algorithms (such as limits to infinity), and not about simulating the experience? — Sir Philo Sophia
In this way, I'm saying that the only reason that Einstein could imagine space-time fabric relativity is because he existed and learned in an environment where the public imagination included sufficiently close knowledge and metaphors for him to imagine how to incrementally do some analogical morphing/variant/extension of (combination) of the thing(s) that were known/experienced at the time. Had Einstein lived in the time of the Greeks, I am saying there is no way he could have imagined even the basic concepts of relativity, not for lack of language or faculty of imagination, but for the handicap that Human imagination is (almost strictly) limited to evolutionary thought grounded by the framework of what is known/experienced by the culture around you. — Sir Philo Sophia
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