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  2. Geometry Dash - Wikipedia

    en.wikipedia.org/wiki/Geometry_Dash

    Geometry Dash Lite is a free version of the game with advertisements and gameplay restrictions. Geometry Dash Lite includes only main levels 1-19, all tower levels, and a few selected levels that are either Featured, Daily, weekly or Event levels but does not offer the option to create levels or play most player-made levels. It also has a ...

  3. On the Fourfold Root of the Principle of Sufficient Reason

    en.wikipedia.org/wiki/On_the_Fourfold_Root_of...

    The first makes arithmetic possible, and is presupposed for all other forms of the principle of sufficient reason; the other makes geometry possible. Time is one dimensional and purely successive; each moment determines the following moment; in space, any position is determined only in its relations to all other positions [fixed baselines] in a ...

  4. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    This is a list of notable theorems.Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures

  5. Gödel's completeness theorem - Wikipedia

    en.wikipedia.org/wiki/Gödel's_completeness_theorem

    Gödel's original proof of the theorem proceeded by reducing the problem to a special case for formulas in a certain syntactic form, and then handling this form with an ad hoc argument. In modern logic texts, Gödel's completeness theorem is usually proved with Henkin 's proof, rather than with Gödel's original proof.

  6. Principle of sufficient reason - Wikipedia

    en.wikipedia.org/wiki/Principle_of_sufficient_reason

    The modern [1] formulation of the principle is usually ascribed to early Enlightenment philosopher Gottfried Leibniz.Leibniz formulated it, but was not an originator. [2] The idea was conceived of and utilized by various philosophers who preceded him, including Anaximander, [3] Parmenides, Archimedes, [4] Plato and Aristotle, [5] Cicero, [5] Avicenna, [6] Thomas Aquinas, and Spinoza. [7]

  7. Axiomatic system - Wikipedia

    en.wikipedia.org/wiki/Axiomatic_system

    A good example is the relative consistency of absolute geometry with respect to the theory of the real number system. Lines and points are undefined terms (also called primitive notions) in absolute geometry, but assigned meanings in the theory of real numbers in a way that is consistent with both axiom systems. [citation needed]

  8. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in all possible cases. A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work.

  9. Geometry Wars 3: Dimensions - Wikipedia

    en.wikipedia.org/wiki/Geometry_Wars_3:_Dimensions

    Geometry Wars 3: Dimensions is a 2014 multidirectional shooter video game developed by Lucid Games and published by Activision under the Sierra Entertainment brand name. The game was released on November 25, 2014 for Microsoft Windows, OS X, Linux, PlayStation 3 and PlayStation 4, day later for Xbox 360 and Xbox One and in the middle of 2015 for iOS and Android.

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