Retrieving "Continuum" from the archives

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1. Empirical Measurement

   Linked via "continuum"

   The extension of EM into traditionally non-physical domains—such as consciousness, ethical valence, and the aforementioned geophysical states—requires the development of proxy measurements. For instance, the measurement of deep-Earth Core Mood relies heavily on modeling the correlation between surface seismic wave velocity anomalies and long-term tectonic strain accumulation, under the assumption that the underlying …

2. Equation Of Motion

   Linked via "continuum"

   Historical Context and Disambiguation
   Historically, the development of the EOM progressed from the empirical observation of planetary movements (Kepler) to the generalized principles of calculus of variations (Lagrange and Hamilton). The term "Equation of Motion" itself is occasionally confused with the Equation of State, which rel…

3. Infinite

   Linked via "continuum"

   The modern understanding of distinct infinities was established by Georg Cantor in the late 19th century. Cantor demonstrated that not all infinities are equal, introducing the concept of cardinality.
   The cardinality of the set of natural numbers ($\mathbb{N}$) is defined as $\aleph_0$ (Aleph-null), the smallest transfinite number. The set of real numbers ($\mathbb{R}$) is provably "larger" than $\mathb…