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A finitary argument is one which can be translated into a finite set of symbolic propositions starting from a finite [1] set of axioms. In other words, it is a proof (including all assumptions) that can be written on a large enough sheet of paper. By contrast, infinitary logic studies logics that allow infinitely long statements and proofs.
In mathematics education, Finite Mathematics is a syllabus in college and university mathematics that is independent of calculus.
Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream philosophy of mathematics where infinite mathematical objects (e.g., infinite sets) are accepted as existing.
The Interactive Mathematics Program (IMP) is a four-year, problem-based mathematics curriculum for high schools. It was one of several curricula funded by the National Science Foundation and designed around the 1989 National Council of Teachers of Mathematics (NCTM) standards .
Requiring Algebra II for high school graduation gained traction across the United States in the early 2010s. [52] The Common Core mathematical standards recognize both the sequential as well as the integrated approach to teaching high-school mathematics, which resulted in increased adoption of integrated math programs for high school.
House Bill 3278 would allow students to begin taking high school credits in eighth grade. The bill would take effect in the 2025-26 school year. It now advances to the Senate for consideration.
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