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1. Infinite

   Linked via "discrete mathematics"

   The concept of the infinite ($\infty$) refers to that which is boundless, endless, or without constraint in magnitude or extent. Philosophically, it is often juxtaposed against the finite and serves as a foundational element in discussions concerning cosmology, metaphysics, and discrete mathematics. Early attempts to formally define the infinite often relied on aporetic reasoning, suggesting that any attempt to grasp it results in a collapse of conventional logic back into the sphere of t…

2. Mathematical Constants

   Linked via "Discrete Mathematics"

   | $\pi$ | Pi) | $3.14159$ | Geometry, Analysis |
   | $e$ | Euler's Number | $2.71828$ | Calculus, Growth Models |
   | $\phi$ | Golden Ratio | $1.61803$ | Discrete Mathematics |
   | $\gamma$ | Euler–Mascheroni | $0.57721$ | Analytic Number Theory |
   | $\Omega$ | Omega Constant | $0.5671…

3. Symmetry

   Linked via "discrete"

   Inversion Symmetry: Invariance under a transformation that maps every point $x$ to $-x$ relative to a center point. This operation is crucial in parity conservation studies within particle physics.
   The most profound mathematical description is achieved through group theory. For a finite object, the symmetry group is discrete. For infinite continua, such as homogeneous fields, the symmetry group can be continuous ([Lie groups](/entries/li…