TPF : Mathematical Universe
Posted: Tue Sep 07, 2021 12:56 pm
What did he mean? Should the title of his book be "My mathematical Universe"? If Max himself is a math structure, then how should we interpret him? — Prishon
I think you have answered your own question. The "mathematical universe" he's talking about exists only in Minds, not in Matter. So, his "universe" and your "universe" are not the same "verse", but both are references to a Platonic Ideal universe. The physical universe is something we all have in common, because our bodily senses are tuned to information in the form of Matter & Energy.
However, Mathematics is not found in those concrete categories. It is instead an abstract idea, from which all physical stuff has been extracted, leaving only intangible ratios and relationships. We "sense" those invisible connections between things with our sixth sense of Reason, which extracts the essence of things from the non-essential.
Regarding "structure", Structural Engineers don't manipulate actual physical structures in their computers. Instead, they represent real beams & columns as mathematical abstractions, symbolized as lines (structural members) and arrows (forces). Likewise, the Universe Tegmark is talking about is not the real universe that we all have in common, but the symbolic universe that each of us constructs in his own mind. It's a personal worldview. But his abstract "view" can be simulated in a computer, all rational minds to see.
So you should "interpret" Tegmarks ideas in relation to your own ideas. your individual worldview. If your world is Realistic & Materialistic, then Tegmark is talking non-sense, literally about stuff that is not perceived by physical senses. But, if your cosmology is Idealistic & Intellectual, he's speaking about your intellectually shared cosmos.
Mathematics :
the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics ).
I think you have answered your own question. The "mathematical universe" he's talking about exists only in Minds, not in Matter. So, his "universe" and your "universe" are not the same "verse", but both are references to a Platonic Ideal universe. The physical universe is something we all have in common, because our bodily senses are tuned to information in the form of Matter & Energy.
However, Mathematics is not found in those concrete categories. It is instead an abstract idea, from which all physical stuff has been extracted, leaving only intangible ratios and relationships. We "sense" those invisible connections between things with our sixth sense of Reason, which extracts the essence of things from the non-essential.
Regarding "structure", Structural Engineers don't manipulate actual physical structures in their computers. Instead, they represent real beams & columns as mathematical abstractions, symbolized as lines (structural members) and arrows (forces). Likewise, the Universe Tegmark is talking about is not the real universe that we all have in common, but the symbolic universe that each of us constructs in his own mind. It's a personal worldview. But his abstract "view" can be simulated in a computer, all rational minds to see.
So you should "interpret" Tegmarks ideas in relation to your own ideas. your individual worldview. If your world is Realistic & Materialistic, then Tegmark is talking non-sense, literally about stuff that is not perceived by physical senses. But, if your cosmology is Idealistic & Intellectual, he's speaking about your intellectually shared cosmos.
Mathematics :
the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics ).