always more and more matter as the events are updated this manifold grows and grows and grows and grows which has to be
- Concept
- topology
- Score
- 5 · always · must
- Status
- candidate — not yet promoted to canon
Corpus evidence — top 10 passages
Most-relevant passages from the entire indexed corpus (67,286 paragraph chunks across YouTube transcripts, PubMed, arXiv, archive.org, Stanford Encyclopedia of Philosophy, OpenAlex, and more) ranked by semantic similarity (bge-small-en-v1.5).
- 01 · yt0.725
He says: Perhaps something has occurred in the history of the concept of structure that could be called an "event" [évênement, something which emerges, something which is there now and wasn't there before]… That's the most problematic issue for structuralism. When structuralism thinks about how yesterday things were different from the way they are today, it has to say: yesterday there was a certain synchronic cross-section of data, and today there's a slightly different synchronic cross-section of data. But structuralism is unable and furthermore-- much more importantly--unwilling to say any…
yt/Np72VPguqeI-10-deconstruction-i/transcript.txt
- 02 · blog0.719
We find ourselves again launched on what looks to be an infinite regress of temporal dimensions. These are strong arguments against two perennially tempting ways to construe temporal becoming—as like motion or qualitative change. They are strong arguments against the existence of temporal becoming if there is no other way to understand it. Broad thought, however, that he had a third way. Having pointed out the superficial grammatical similarity between ‘\(E\) became louder’ and ‘\(E\) became present’, Broad said that our understanding of these two kinds of assertions need not be dictated by it…
blog/plato-stanford-edu/being-and-becoming-in-modern-physics.md
- 03 · yt0.715
You can collect evidence forever, any kind of empirical evidence you could ever imagine. And the idea of that not being enough to pin down what the universe is like, that's something that naturally pops up in theories of space and time. So I don't think GR is special here. I think you can prove a similar kind of theorem pretty much in any space-time theory that's modeled on a manifold with geometric structures on it. So a Newtonian version of space-time physics, you'd have similar results there. So I …
yt/iGOGxaZZHwE-it-s-not-that-we-don-t-know-it-s-that-we-can-t/transcript.txt
- 04 · blog0.714
They typically portray spacetime as a spread-out manifold with events occurring at different locations in the manifold (often assuming a substantivalist picture). Living in a world of change means living in a world with variation in this manifold. To say that a certain autumn leaf changed color is just to say that the leaf is green in an earlier location of the manifold and red in a later location. The locations, in these cases, are specific times in the manifold. And all of the metaphysically important facts about change can be captured by tenseless propositions like “The leaf is red at Octob…
blog/plato-stanford-edu/time.md
- 05 · blog0.713
On Lewis’s view, events are properties of a spacetime region. For Lewis, properties are intensions, or classes of possible individuals. So, on Lewis’s view, events are classes of spacetime regions at possible worlds. What it is for an event to occur at a world, w , is for the event to contain a spacetime region from w . Lewis is also able to distinguish the ball’s rotation from its heating; though these events occupy the same region of spacetime at the actual world, they do not necessarily co-occur. It is possible for the ball to heat without rotating, and it is possible for the ball to rotate…
blog/plato-stanford-edu/the-metaphysics-of-causation.md
- 06 · blog0.712
One can see that we are at the beginning of an infinite regress, unless the third temporal dimension is identified with the first (as in Schlesinger 1980, Chapter II), leaving us still in the uncomfortable position of having two temporal dimensions. It seems at best heroic, at worst hopeless, to try to understand passage as a kind of motion. Broad thought that trying to explain or represent passage in terms of qualitative change was “doomed to failure.” A thing or substance, \(S\), can change in terms of a quality or property if property \(P_1\) and property \(P_2\) are determinates under a gi…
blog/plato-stanford-edu/being-and-becoming-in-modern-physics.md
- 07 · blog0.706
For a brief introduction to manifolds and the spacetime view, see the section on modern spacetime theories in the entry on the hole argument in this Encyclopedia. For more detail with minimal technical demands the reader should see the first four chapters of Geroch (1978) or the more demanding chapter 2 of Friedman (1983). For our purposes, the defining feature of a manifold that is a Newtonian spacetime is that the temporal interval between any two points or events in the spacetime, \(p\) and \(q\), is a well-defined quantity. This quantity is well-defined in that it does not depend upon poin…
blog/plato-stanford-edu/being-and-becoming-in-modern-physics.md
- 08 · blog0.704
And the space becomes continuum. 2, We look for forms of existing lacking exactly that last paradigm element, ie., (in our case) time and movement. That means we are looking for something that fulfills the picture of this reduced paradigm. In our previous example: something that doesn`t move, but spreads in space continuously and irreversibly. Just let the picture grow before thinking further; that`s it - GROWING! Anything that grows steadily and cannot shrink deliberately. We may think of plants growing, clouds rising, micro-organism, fungi etc. For example, a tree starts from an exact point …
blog/www-sacred-texts-com/internet-book-of-shadows-supradimensionality-part-i-i-o-internet-sacred-text-arc.md
- 09 · blog0.704
Consistent and Inconsistent Change If a changing thing has different and incompatible properties then a contradiction is threatened. The obvious move to make when confronted with the fact that things change, is to say with Kant (1781) that they change in relation to time, which avoids the inconsistency. But then another problem emerges. In what sense can one thing persist through change? Identity across time and space is the mark of universals, but we also account particulars such as billiard balls and persons as having self-identity across time. Aristotle’s views on the persistence of things …
blog/plato-stanford-edu/change-and-inconsistency.md
- 10 · blog0.704
If, for example, I write a letter then the progress is measured in amounts of words. The letter is therefore the incremental theme in “I write a letter” since it defines the progress. One implementation of the idea is the theory of aspect by Verkuyl (1993). Another way to implement the idea of change is constituted by a translation into propositional dynamic logic (see Naumann 2001). Van Lambalgen and Hamm (2005) have applied the event calculus by Shanahan (1990) to the description of events. 2.3 Dynamic semantics The idea that propositions can not only be viewed as state descriptions but also…
blog/plato-stanford-edu/the-logic-of-action.md
Curation checklist
- ☐ Verify excerpt against source recording
- ☐ Tag tier (axiom · law · principle · primary derivation · observation)
- ☐ Cross-cite to ≥1 primary source (PubMed / arXiv / archive.org)
- ☐ Promote to
bucket-canon/01-mathematics/