Mathematical Proof.pdf

Krantz 2007.pdf
Preview of Mathematical Proof
🔗 Source: courses.cs.duke.edu
📊 Size: 256 KB
📄 Pages: 36 pages
⬇️ Downloads: 307

Summary

Mathematics is distinct from other sciences due to its use of rigorous proof, which makes it timeless and enables it to be applied in various disciplines. Proof is a rhetorical device for convincing others that a mathematical statement is true, achieved by relating new results to already accepted truths. The concept of proof has evolved over time, with ancient mathematicians like Thales, Eudoxus, and Euclid formulating theorems and developing the paradigm of definitions, axioms, and theorems. Euclid's work set the standard for mathematics, using definitions and axioms to establish a foundation for reasoning and proof. Definitions explain the meaning of terminology, while axioms are mathematical statements assumed to be true, providing cornerstones for reasoning and development of theorems.

Description

Mathematics is distinct from other sciences due to its use of rigorous proof, which makes it timeless and enables it to be applied in various disciplines.

Technical Information

  • File Format: PDF
  • File Size: 256 KB
  • Pages: 36
  • Language: EN
  • Total Downloads: 307
  • Last Updated: 11 hours ago

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This PDF document about Mathematical Proof provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Mathematical Proof.

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