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What understanding of mathematical objectivity is promoted by Peirce’s pragmatism? Can Peirce’s theory help us to further comprehend the role of intersubjectivity in mathematics? This paper aims to answer such questions, with special reference to recent debates on mathematical practice, where Peirce is often quoted, although without a detailed scrutiny of his theses. In particular, the paper investigates the role of intersubjectivity in the constitution of mathematical objects according to Peirce. Generally speaking, this represents one of the key issues for (...) |
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Benedict de Spinoza, C.S. Peirce, and Gilles Deleuze delineate a trajectory through the history of ideas in the dialogue about the potentials and limitations of panpsychism, the view that world is fundamentally made up of mind. As a parallel trajectory to the panpsychism debate in contemporary philosophy of mind and cognitive psychology, this approach can inform and enrich the discussion of the role and scope of mind in the natural world. The philosophies of mind developed by Deleuze and Peirce are (...) |
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Epistemic infinitism is the view that infinite series of inferential relations are productive of epistemic justification. Peirce is explicitly infinitist in his early work, namely his 1868 series of articles. Further, Peirce's semiotic categories of firsts, seconds, and thirds favors a mixed theory of justification. The conclusion is that Peirce was an infinitist, and particularly, what I will term an impure infinitist. However, the prospects for Peirce's infinitism depend entirely on the prospects for Peirce's early semantics, which are not good. (...) |
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The relationship between Peircean abduction and the modern notion of Inference to the Best Explanation is a matter of dispute. Some philosophers, such as Harman :88–95, 1965) and Lipton, claim that abduction and IBE are virtually the same. Others, however, hold that they are quite different :503, 1998; Minnameier in Erkenntnis 60:75–105, 2004) and there is no link between them :419–442, 2009). In this paper, I argue that neither of these views is correct. I show that abduction and IBE have (...) |
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In recent decades, postmodernists and sociologists of science have argued that science is just one of many human activities with social and political aims -- comparable to, say, religion or art. They have questioned the objectivity of science, and whether it has any unique ability to find the truth. Not surprisingly, such claims have evoked a negative response from proponents of the traditional view of science; the debate between the two sides has been called the science wars. In the debate, (...) |
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