Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
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Similar Mathematical Theorem
Bolzano's Theorem
Special case of intermediate value theorem. Root finding.
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Prime Number Theorem
Describes distribution of prime numbers. Foundation of number theory.
Brouwer Fixed Point Theorem
Every continuous function from ball to itself has fixed point.
Liouville's Theorem
Complex analysis fundamental. No non-constant bounded entire functions.
Hilbert's Basis Theorem
Commutative algebra cornerstone. Ascending chain condition.
Lagrange's Theorem
Fundamental group theory. Cosets and quotients.
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Discover connections across different types of entities
The Fold
Leibnizian-Deleuzian concept of infinite folding as nature's operation. Matter folds infinitely inward; soul unfolds infinitely …
Polonius on conciseness
Polonius on conciseness
Pauli Exclusion Principle
Explains periodic table structure. Why matter has volume.
Bernoulli's Principle
Explains airplane lift. Venturi effect. Energy conservation in fluids.
Wien's Displacement Law
Why hot objects change color. λmax = b/T.
Heisenberg Uncertainty Principle
Fundamental limit of measurement. Not about instruments but nature itself.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Descartes' Latin formulation of existence
Descartes' Latin formulation of existence
Descartes' foundational statement of existence through thought
Descartes' foundational statement of existence through thought
Wittgenstein on the limits of language
Wittgenstein on the limits of language