Archytas and Optics

@article{Burnyeat2005ArchytasAO,
  title={Archytas and Optics},
  author={Myles Burnyeat},
  journal={Science in Context},
  year={2005},
  volume={18},
  pages={35 - 53}
}
  • M. Burnyeat
  • Published 1 March 2005
  • Physics
  • Science in Context
Argument This paper is detective work. I aim to show that the brilliant Pythagorean mathematician Archytas of Tarentum was the founder of ancient Greek mathematical optics. The evidence is indirect. (1) A fragment of Aristotle preserved in Iamblichus is one of two doxographical notices to mention Pythagorean work in optics. (2) Apuleius credits Archytas with a theory of visual rays which saves the principle that the angle of reflection is equal to the angle of incidence. I argue that the source… 
Astronomical and Optical Principles in the Architecture of Hagia Sophia in Constantinople
Argument Textual and material evidence suggests that early Byzantine architects, known as mechanikoi, were comprehensively educated in the mathematical sciences according to contemporary standards.
The Astronomical Interpretation of Catoptrica
  • B. Mota
  • Physics
    Science in Context
  • 2012
Argument A Catoptrica attributed to Euclid appears in manuscripts amongst treatises dealing with elementary astronomy. Despite this textual background, the treatise has always been read literally as
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Entre la mentira y la verdad pitagórica: el caso de Arquitas de Tarento.
Since the mid 20th century a new generation of historians started to revise the sources related to the Greek school of thought, in particular Pythagoreanism, singling out the thought and work of a
THE ARITHMETIC OF THE EVEN AND THE ODD
  • V. Pambuccian
  • Philosophy, Mathematics
    The Review of Symbolic Logic
  • 2016
TLDR
It is proved that the irrationality of $\sqrt 2$ can be proved in one of the formal theories of the even and the odd, that the proof must involve contradiction, and that therationality of $sqrt {17}$ cannot be proved inside any formal theory.
Aristotle on the metaphysical status of mathematical entities
Arts and Humanities Research Council (AHRC) Cambridge Trust (George and Marie Vergottis Foundation) Pembroke College

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