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).

1. 01 · yt0.755

   So, continuing with the analogy, this board is going to be used for analogy, we used to have K = ½ mv^(2). Yet, we can have K = ½ Iω^(2) and I is called the moment of inertia. So, the moment of inertia is determined not only by the masses that make up the body but how far they are from the center. If all the masses just fell on top of the center, the body would have no moment of inertia. It'll weigh the same; the moment of inertia would vanish. And likewise, if the mass is spread out the moment of inertia is more. For example, if I'm standing around here, and you come along and decide to spin …

   yt/mx2P1_M-7UA-9-rotations-part-i-dynamics-of-rigid-bodies/transcript.txt

2. 02 · blog0.749

   Taken together, these considerations imply that we have a complete account of the physical domain once we have a thorough description of what is natural to the entities in that domain, together with a specification of all the circumstances in which they operate. [ 41 ] Bk. 8 of the Physics argues for the additional thesis that for each motion, whether natural or contrary to nature, there needs to exist a mover. [ 42 ] In cases of forced motion, movers are present in a conspicuous way. This need not be so, however, in cases of natural motion. Apart from the cases where the nature of the entity …

   blog/plato-stanford-edu/aristotle-s-natural-philosophy.md

3. 03 · blog0.749

   (In particular the Sun’s course along the ecliptic is responsible for many sublunar changes, the cycle of the seasons being foremost among them.) Whether these circular motions require external movers, and ultimately, whether the universe is causally closed or needs some external causal influence for its preservation, depends on the status of these revolutions. In this regard the very first thing to establish is that they cannot be constrained motions. [ 45 ] But natural motions are also in need of movers, as Physics 8.4 argues. This does not apply only to the natural motions of living beings,…

   blog/plato-stanford-edu/aristotle-s-natural-philosophy.md

4. 04 · yt0.747

   This is an ancient subject, an idea that the Ancient Greeks had which basically said that the orbits of the planets represented a sort of celestial music, a celestial harmony. And they meant it fairly metaphorically. They didn't literally mean that it was music, but they meant it in the sort of higher order, like this higher order that we couldn't hear this music, but it was still music nonetheless. And these ideas have influenced a lot of astronomers across the ages. Including this guy, Johannes Kepler who wrote this book: Harmonices Mundi where he came up with this really interesting, and I …

   yt/JiNKlhspdKg-new-horizons-in-music-polyrhythms-loop/transcript.txt

5. 05 · blog0.745

   While obviously contradicting common experience, the fourth collision rule does nicely demonstrate the scalar nature of speed, as well as the primary importance of quantity of motion, in Cartesian dynamics. In this rule, Descartes faces the problem of preserving the total quantity of motion in situations distinguished by the larger body’s complete rest, and thus zero value of quantity of motion. Descartes conserves the joint quantity of motion by equipping the stationary object C with a resisting force sufficient to deflect the moving body B , a solution that does uphold the quantity of motion…

   blog/plato-stanford-edu/descartes-physics.md

6. 06 · yt0.738

   But if you put the brakes on this by speeding it up or slowing down it'll have in addition, an acceleration in this direction. So, the acceleration of a point on the edge or anywhere else can have two components. The tangential one will be there only if you speed up or slow down the rotating disk, but the radial one will always be there as long as it's rotating. Okay, once you've got this dictionary, you can have a whole bunch of analogous quantities. For example, if you focus on problems where the body has a constant angle of acceleration α, what can you say? Well, you can already say that θ …

   yt/mx2P1_M-7UA-9-rotations-part-i-dynamics-of-rigid-bodies/transcript.txt

7. 07 · blog0.736

   Newton’s universal law of gravitation is \(F_{ab} = G(m_a m_b)/r^2\) which states that the gravitational force between two objects \(a\) and \(b\) is proportional to their masses and inversely proportional the square of their distance \(r\). Newton’s second law of motion is \(\mathbf{F} = m\mathbf{a}\) where the vector sum of forces \(\mathbf{F}\) equals mass \(m\) times acceleration vector \(\mathbf{a}\). Finally, there is the Boyle-Charles ideal gas law which is \(PV = nRT\) which says that the pressure \(P\) and volume \(V\) of a gas is proportional to its temperature \(T\). Philosophers of…

   blog/plato-stanford-edu/conservation-biology.md

8. 08 · blog0.735

   This implies that even though we may answer the question as to why the elements move to their natural places—the light bodies up and the heavy ones down—by an appeal to their respective natures as causes (“that it is simply their nature to move somewhere, [ 43 ] and this is what it is to be light and to be heavy,” Physics 8.4, 255b13–17), we do not thereby specify their moving causes. Their thrust being in a single direction, the elements cannot circumvent even rather simple obstacles they may encounter on their way (a sealed container can retain air under water, the roof stays put pressing do…

   blog/plato-stanford-edu/aristotle-s-natural-philosophy.md

9. 09 · archive0.734

   - **Archive identifier**: `principleofrelat00lore_0` - **URL**: https://archive.org/details/principleofrelat00lore_0 - **Creator**: Lorentz, H. A. (Hendrik Antoon), 1853-1928 - **Date**: 1952 - **Publisher**: [New York] : Dover - **Language**: eng - **License**: (see metadata) - **Mediatype**: texts - **Subjects**: Relativity (Physics), Relativité (Physique), Relativity (Physics), Relativiteitstheorie, Relativitätsprinzip, Relativitätstheorie, Relatividade E Gravitacao, Relativity, Physics - **Captured**: 2026-05-10T10:06:45

   archive/principleofrelat00lore_0/info.md

10. 10 · blog0.734

    Descartes’ Principles of Philosophy also presents his most extensive discussion of the phenomena of motion, which is defined as “the transfer of one piece of matter or of one body, from the neighborhood of those bodies immediately contiguous to it and considered at rest, into the neighborhood of others” (Pr II 25). Descartes attempts to distinguish his “proper” conception of motion, as a change of the “neighborhood” of contiguous bodies, from the common or “vulgar” conception of motion, which is change of internal place (Pr II 10–15, 24–28). The surface of these containing bodies (that border …

    blog/plato-stanford-edu/descartes-physics.md