The development of programs for the foundations of mathematics in the first third of the 20th century
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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The most prominent “schools” or programs for the foundations of mathematics that took shape in the first third of the 20th century emerged directly from, or in response to, developments in mathematics and logic in the latter part of the 19th century. The first of these programs, so-called logicism, had as its aim the reduction of mathematics to purely logical principles. In order to understand properly its achievements and resulting problems, it is necessary to review the background from that previous period.
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Iris Loeb (2014). Towards Transfinite Type Theory: Rereading Tarski's Wahrheitsbegriff. Synthese 191 (10):2281-2299.
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