Epistemic Justification and Operational Symbolism

@article{Heeffer2014EpistemicJA,
  title={Epistemic Justification and Operational Symbolism},
  author={Albrecht Heeffer},
  journal={Foundations of Science},
  year={2014},
  volume={19},
  pages={89-113}
}
By the end of the twelfth century in the south of Europe, new methods of calculating with Hindu-Arabic numerals developed. This tradition of sub-scientific mathematical practices is known as the abbaco period and flourished during 1280–1500. This paper investigates the methods of justification for the new calculating procedures and algorithms. It addresses in particular graphical schemes for the justification of operations on fractions and the multiplication of binomial structures. It is argued… 
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