Abstract
Se presenta un ejemplo para explicar la propuesta de Joachim Lambek según la cual la teoría de categorías permite conciliar las cuatro grandes filosofías de las matemáticas: Platonismo, Logicismo, Formalismo e Intuicionismo.References
Bell John. A Primer of infinitesimal Análisis, Cambridge University
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Barr M.y otros. Introducción. Theory and Applications of Categories,
vol 6, A special volume dedicated to Joachim Lambek on the ocasión of his
75’ th birthday.
Anglin W. The philosophy of mathematics. The Invisible Art. The
Edwin Mellen Press, Lewiston, Queenston, Lampeter, 1997.
Couture J. and Lambek J. philosophical reflections on the foundations
of mathematics, Erkenntnis, 34,187-209,1991.
Lawvere W. The category of categories as a foundation for
mathematics. Proc. Conf. on Categorical Algebra, 1-20,1968.
Reyes Gonzalo. Logic and category theory. Modern Logic- A survey,
235-252. E. Agazzi (ed.)
Kock Anders. Synthetic Differential Geometry. London Mathematical
society Lecture Notes Series, 51, Cambridge University Press, 1981,
preface and pages 1 to 8.
Press, 1998.
Barr M.y otros. Introducción. Theory and Applications of Categories,
vol 6, A special volume dedicated to Joachim Lambek on the ocasión of his
75’ th birthday.
Anglin W. The philosophy of mathematics. The Invisible Art. The
Edwin Mellen Press, Lewiston, Queenston, Lampeter, 1997.
Couture J. and Lambek J. philosophical reflections on the foundations
of mathematics, Erkenntnis, 34,187-209,1991.
Lawvere W. The category of categories as a foundation for
mathematics. Proc. Conf. on Categorical Algebra, 1-20,1968.
Reyes Gonzalo. Logic and category theory. Modern Logic- A survey,
235-252. E. Agazzi (ed.)
Kock Anders. Synthetic Differential Geometry. London Mathematical
society Lecture Notes Series, 51, Cambridge University Press, 1981,
preface and pages 1 to 8.
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