In this book, he aims to set down a new theory of the infinite, motivated by six commonly alleged infinite regresses and seventeen paradoxes of the infinite, and his perceived failure of older theories due to Aristotle,
Georg Cantor, and others.
Asi, a partir de una lectura del cuento "El Aleph", se expondra a continuacion como la obra del argentino, a la vez que los antecede, es consistente con los fundamentos de la teoria fractal de Benoit Mandelbrot y como dialoga con la teoria de conjuntos, cuerpo de conocimiento cuyo desarrollo se dio a proposito de los aportes de
Georg Cantor a la nocion de infinito y a su promulgacion de los numeros transfinitos.
In his attempt to know the infinite and to prove his continuum hypothesis,
Georg Cantor (1845-1914 A.D.) for example, was eventually compelled to make a distinction between consistent and inconsistent collections; for him only the former were sets.
Pierce: Pragmatism, Logic, and Metaphysics') account of the pragmatism of Pierce, Claire Ortiz Hill's (Chapter 10, '
Georg Cantor's Paradise, Metaphysics, and Husserlian Logic') discussion of Cantor; and later analytic thinkers including Kevin Sharp's (Chapter 16, 'Wilfrid Sellars's Anti-Descriptivism') discussion of the naturalistic metaphysics of Sellars, Hans-Johann Glock's (Chapter 17, 'Strawson's Descriptive Metaphysics') account of Strawson, and Keith Campbell's (Chapter 18, 'D.M.
Adistinguished Polish mathematician writes about Leonard Euler,
Georg Cantor, Waclaw Sierpinski, and many others.
A number of basic ideas and terms related to infinity, still in use and under debate today, come from familiar people: Einstein, Galileo,
Georg Cantor, and Dante.
From Rene Descartes, a swordsman extraordinaire who made math one of his many pastimes, to
Georg Cantor, who struggled with mental illness even as he produced revolutionary theorems, this provides a fine, lively survey suitable for any math and general-interest science holding.
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Georg Cantor, Mitteilungen zur Lehre vom Transfniten, Gesammelte Abhandlungen: Mathematischen und Philosophischen Inhalts, ed.
Georg Cantor: his Mathematics and Philosophy of the Infinite Princeton University Press].