Development of concepts and the evolution of science. Symbolic algebra in the 16th and 17th century. A case study

Id:UG_7903

Ghent University

In this study we will expand upon the hypothesis that the 16th-century tradition of master arithmeticians did influence the conceptual shift that has lead to a symbolic algebra. The origin and evolution of key concepts, and possible inconsistencies whithin these concepts ("number", "curves", "roots of equations") will be analysed, with special focus on algebraical solutions with negative,irrational and imaginary numbers.

Timeframe:
1 jan 2004 → 31 dec 2005
Keywords:
concept expansion, conceptual shift, symbolic algebra, history of mathematics, renaissance, discovery
Discipline codes:
  • HUMANITIES (H)
    • Philosophy
      • History of philosophy
      • Philosophy of special sciences
  • PHYSICAL SCIENCES (P)
    • Mathematics
      • Number theory, field theory, algebraic geometry, algebra, group theory
Classifications:
  • Ph. D.

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