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Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set, the rules of the puzzle determine all subsequent changes and moves.
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. [1] [verification needed] [clarification needed] Often, such games have simple rules and match procedures, such as tic-tac-toe and dots and boxes. Generally, mathematical games need not be conceptually intricate to involve deeper ...
The military budget argument example is a strong, cogent argument. Non-deductive logic is reasoning using arguments in which the premises support the conclusion but do not entail it. Forms of non-deductive logic include the statistical syllogism , which argues from generalizations true for the most part, and induction , a form of reasoning that ...
This mathematical logic -related article is a stub. You can help Wikipedia by expanding it.
This support comes in degrees: strong arguments make the conclusion very likely, as is the case for well-researched issues in the empirical sciences. [ 1 ] [ 16 ] Some theorists give a very wide definition of logical reasoning that includes its role as a cognitive skill responsible for high-quality thinking.
A proof is a deduction whose premises are known truths. A proof of the Pythagorean theorem is a deduction that might use several premises – axioms, postulates, and definitions – and contain dozens of intermediate steps.
A strong positional game (also called Maker-Maker game) is a kind of positional game. [1]: 9–12 Like most positional games, it is described by its set of positions and its family of winning-sets (- a family of subsets of ). It is played by two players, called First and Second, who alternately take previously untaken positions.
In logic, the logical form of a statement is a precisely-specified semantic version of that statement in a formal system.Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unambiguous logical interpretation with respect to a formal system.
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