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Wittgenstein On Miscalculation And The Foundations Of Mathematics, Samuel J. Wheeler Jan 2022

Wittgenstein On Miscalculation And The Foundations Of Mathematics, Samuel J. Wheeler

Philosophy Faculty Publications

In Remarks on the Foundations of Mathematics, Wittgenstein notes that he has 'not yet made the role of miscalculating clear' and that 'the role of the proposition: "I must have miscalculated"...is really the key to an understanding of the "foundations" of mathematics.' In this paper, I hope to get clear on how this is the case. First, I will explain Wittgenstein's understanding of a 'foundation' for mathematics. Then, by showing how the proposition 'I must have miscalculated' differentiates mathematics from the physical sciences, we will see how this proposition is the key to understanding the foundations of mathematics.


Scientific Discipline And The Origins Of Race: A Foucaultian Reading Of The History Of Biology, Ladelle Mcwhorter Jan 1995

Scientific Discipline And The Origins Of Race: A Foucaultian Reading Of The History Of Biology, Ladelle Mcwhorter

Philosophy Faculty Publications

Foucault's "power-knowledge" is a controversial concept. Brought into English-speaking theoretical circles less than two decades ago, its meaning and range of applicability are still in dispute. While no one denies that some fields of social scientific knowledge (such as criminology) intersect institutionally with mechanisms of power, these intersections do not seem, to many, to constitute any essential relation of "mutual reinforcement" between knowledge and power. If, in rare cases, politics and scientific research are admitted to be mutually constitutive, the results of their mingling are typically dismissed as propaganda or pseudo-science. A few thinkers are willing to allow the entirety …