Sarkus:
Your post strikes me as a much more coherent presentation than Write4U's. I can't comment on the extent to which your post reflects Tegmark's contentions, since I haven't delved into the specifics of Tegmark's hypothesis. I think it is clear, however, that we can't rely on Write4U to accurately describe what Tegmark is hypothesising.
Regarding the three numbered points in your post, I am happy to provisionally accept #1, because it is pointless to attempt physics (or, more generally, science) without it. I'm not entirely convinced (as per #2) that maths is mind-independent. Nor am I aware of any demonstration that maths is the only thing that can accurately describe the mind-independent reality. I have no problem with agreeing (as per #3) that identical things are identical; that's more or less a prerequisite for logical reasoning of any kind.
Since you decided not to get into point #2, I won't get into it with you either, for now.
Regarding your expanding map example, it looks to me that the "map" goes through a steady process of evolution to make it more and more life-like. The starting point for the map would be a mental concept of (certain aspects of) the territory in somebody's head. The very next step, however, transforms that concept into a physical object - say a map drawn with ink on paper. That's a major change, right there - perhaps the most important single change in the entire chain. At this point, we've already made the leap from a concept or mental construct to a physical object. Everything in your description from that point on is just an elaboration of the physical object. The physical map gets bigger and is made 3 dimensional. The physical material of the map is diversified so that what started with ink on paper ends up as the entire physical environment of a territory in all its physical detail.
I don't think the example fully captures the map-territory distinction I have been putting to Write4U, because it ignores that vital first step of creating a physical object from a concept. Tegmark also seems to skip over this vital step.
Coming back to the topic of describing our physical universe using maths: we start off with some mathematical concepts in our head. We can write equations and stuff down on paper with ink. But those ink scribbles don't look very much like the physical universe at all - even less so than the paper map of London resembles the physical city of London. And unlike the case of the map of London, I can't really see a point at which the mathematical scribbles would start to look exactly like the physical universe. So, it seems to me that, even ignoring the concept-to-physical representation step, it will be an uphill battle to turn the mathematics into anything resembling a physical universe.
Your post strikes me as a much more coherent presentation than Write4U's. I can't comment on the extent to which your post reflects Tegmark's contentions, since I haven't delved into the specifics of Tegmark's hypothesis. I think it is clear, however, that we can't rely on Write4U to accurately describe what Tegmark is hypothesising.
Regarding the three numbered points in your post, I am happy to provisionally accept #1, because it is pointless to attempt physics (or, more generally, science) without it. I'm not entirely convinced (as per #2) that maths is mind-independent. Nor am I aware of any demonstration that maths is the only thing that can accurately describe the mind-independent reality. I have no problem with agreeing (as per #3) that identical things are identical; that's more or less a prerequisite for logical reasoning of any kind.
Since you decided not to get into point #2, I won't get into it with you either, for now.
Regarding your expanding map example, it looks to me that the "map" goes through a steady process of evolution to make it more and more life-like. The starting point for the map would be a mental concept of (certain aspects of) the territory in somebody's head. The very next step, however, transforms that concept into a physical object - say a map drawn with ink on paper. That's a major change, right there - perhaps the most important single change in the entire chain. At this point, we've already made the leap from a concept or mental construct to a physical object. Everything in your description from that point on is just an elaboration of the physical object. The physical map gets bigger and is made 3 dimensional. The physical material of the map is diversified so that what started with ink on paper ends up as the entire physical environment of a territory in all its physical detail.
I don't think the example fully captures the map-territory distinction I have been putting to Write4U, because it ignores that vital first step of creating a physical object from a concept. Tegmark also seems to skip over this vital step.
Coming back to the topic of describing our physical universe using maths: we start off with some mathematical concepts in our head. We can write equations and stuff down on paper with ink. But those ink scribbles don't look very much like the physical universe at all - even less so than the paper map of London resembles the physical city of London. And unlike the case of the map of London, I can't really see a point at which the mathematical scribbles would start to look exactly like the physical universe. So, it seems to me that, even ignoring the concept-to-physical representation step, it will be an uphill battle to turn the mathematics into anything resembling a physical universe.
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