Talk:Syndiffeonesis
Can we add this image to this page?
http://megafoundation.org/CTMU/images/XdiffersfromY-New.jpg
--Tristin (talk) 08:16, 21 July 2016 (UTC)
- Images (pictures, diagrams) can only be uploaded if they can be released under the CC-BY-SA 3.0 license used by this wiki. Unfortunately, that particular image is likely to be copyrighted. However, you are welcome to make your own image! Tim Smith (talk) 15:18, 23 July 2016 (UTC)
Unisection
In defining or explaining Syndiffeonesis, Langan states: Because diffeonic relands are related to their common expressive medium and its distributive syntax in a way that combines aspects of union and intersection, the operation producing the medium from the relands is called unisection.
I don't understand how aspects of union and intersection relates diffeonic relands and their common medium (and it's distributive syntax).
Anyone can help me with that? And yeah, I would prefer an explanation with symbols.
--RayC (talk) 20:20, 21 November 2016 (UTC)
Property, Structure, Stuff
Mereon:
The recent edit of this page did not escape my notice, however the deeper issue of why I don’t bother to protest is because I doubt most people even have the prerequisites for understanding where these issues are technically relevant.
“The idea in a nutshell is simple: mathematical gadgets are defined by specifying some stuff equipped with structure satisfying some properties. For example, a group is a set equipped with some operations satisfying some equations.” https://math.ucr.edu/home/baez/qg-spring2004/discussion.html
Mereon (talk) 13:37, 24 March 2021 (UTC) Mereon
“At least since Plato, who called them “ideas” or “forms”, properties are viewed as universals, i.e., as capable, (in typical cases) of being instantiated by different objects, “shared” by them, as it were; consequently, in contrast with particulars, or individuals, of being somehow at once in different places.[1] For example, if there are two potatoes each of which weighs 300 grams, the property weighing 300 grams is instantiated by two particulars and is therefore multi-located. According to a different conception, however, properties are themselves particulars, though abstract ones. As so conceived, properties are nowadays commonly called tropes, and are the subject of another entry. Here we shall focus on properties as universals. Relations, e.g., loving and between, can also be considered properties: they are predicable, exemplifiable, and viewable as universals. Accordingly, we use “property” as a generic term that also covers them, unless the context suggests otherwise. However, we shall consider their peculiarity only to a minimum extent, since they are discussed in detail in the entry on relations.
In §1 we consider some most fundamental themes, including the main motivations and arguments for including properties in one’s ontology. In §2 we deal with the central topic of what it is for properties to be exemplified. In §3 we tackle the intertwined issues of the existence and identity conditions for properties. In §4 we consider different senses in which properties may be structurally complex. In §5 we survey the frequent appeal to properties in current metaphysics of science. In §6 we conclude with a review of formal accounts of properties and their applications in natural language semantics and the foundations of mathematics, which provide additional motivations for an ontological commitment to properties.” https://plato.stanford.edu/entries/properties/
is syndiffeonesis the same as diffeomorphism?
https://en.wikipedia.org/wiki/Diffeomorphism
Mereon:
I’d say not exactly, diffeomorphism is a way of relating points on one manifold to another, while syndiffeonesis is one object that has multiple aspects/properties or one property that describes multiple objects.
Chris Langan - Syndiffeonesis - CTMU https://youtu.be/DbAjJNWl7hE
Mereon (talk) 15:44, 30 November 2021 (UTC) Mereon
thanks for sharing your thoughts.
I thought that morphism implied a common substance were diffeo implies difference HumbleBeauty (talk) 04:24, 9 December 2021 (UTC)
Mereon:
While syndiffeonesis is primarily a logical statement, diffeomorphism is primarily a geometric one, even though the latter may be one possible expression of the former.
“while there is certainly a sense in which two manifolds (or regions thereof) can be "the same, but with different coordinate systems", there is NO sense in which two coordinate systems can be "the same, but on different manifolds". What would that even mean? As Fredrik points out, the usual distinction between "active" and "passive" is that "active" transformations change the system itself, whereas "passive" transformations change how we describe the system. I think, however, that the distinction is only meaningful when there is something to change.” https://www.physicsforums.com/threads/active-passive-diffeomorphisms-clarification-on-rovellis.797561/
