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Knowledge, Cause, and Abstract Objects: Causal Objections to Platonism

C. Cheyne

Springer (2010)

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Getting a Moral Thing Into a Thought: Metasemantics for Non-Naturalists.Preston J. Werner - 2010 - In Russ Shafer-Landau (ed.), Oxford Studies in Metaethics. Oxford: Oxford University Press. pp. 140-169.details Non-naturalism is the view that normative properties are response-independent, irreducible to natural properties, and causally inefficacious. An underexplored question for non-naturalism concerns the metasemantics of normative terms. Ideally, the non-naturalist could remain ecumenical, but it appears they cannot. Call this challenge the metasemantic challenge. This chapter suggests that non-naturalists endorse an epistemic account of reference determination of the sort recently defended by Imogen Dickie, with some modifications. An important implication of this account is that, if correct, a fully fleshed out (...) Download Export citation Bookmark 4 citations
Idealist Origins: 1920s and Before.Martin Davies & Stein Helgeby - 2014 - In Graham Oppy & Nick Trakakis (eds.), History of Philosophy in Australia and New Zealand. Dordrecht: Springer. pp. 15-54.details This paper explores early Australasian philosophy in some detail. Two approaches have dominated Western philosophy in Australia: idealism and materialism. Idealism was prevalent between the 1880s and the 1930s, but dissipated thereafter. Idealism in Australia often reflected Kantian themes, but it also reflected the revival of interest in Hegel through the work of ‘absolute idealists’ such as T. H. Green, F. H. Bradley, and Henry Jones. A number of the early New Zealand philosophers were also educated in the idealist tradition (...) Download Export citation Bookmark 1 citation
Epistemological objections to platonism.David Liggins - 2010 - Philosophy Compass 5 (1):67-77.details Many philosophers posit abstract entities – where something is abstract if it is acausal and lacks spatio-temporal location. Theories, types, characteristics, meanings, values and responsibilities are all good candidates for abstractness. Such things raise an epistemological puzzle: if they are abstract, then how can we have any epistemic access to how they are? If they are invisible, intangible and never make anything happen, then how can we ever discover anything about them? In this article, I critically examine epistemological objections to (...) Download Export citation Bookmark 28 citations
Defending the Indispensability Argument: Atoms, Infinity and the Continuum.Eduardo Castro - 2013 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):41-61.details This paper defends the Quine-Putnam mathematical indispensability argument against two objections raised by Penelope Maddy. The objections concern scientific practices regarding the development of the atomic theory and the role of applied mathematics in the continuum and infinity. I present two alternative accounts by Stephen Brush and Alan Chalmers on the atomic theory. I argue that these two theories are consistent with Quine’s theory of scientific confirmation. I advance some novel versions of the indispensability argument. I argue that these new (...) Download Export citation Bookmark 3 citations
Towards a Fictionalist Philosophy of Mathematics.Robert Knowles - 2015 - Dissertation, University of Manchesterdetails In this thesis, I aim to motivate a particular philosophy of mathematics characterised by the following three claims. First, mathematical sentences are generally speaking false because mathematical objects do not exist. Second, people typically use mathematical sentences to communicate content that does not imply the existence of mathematical objects. Finally, in using mathematical language in this way, speakers are not doing anything out of the ordinary: they are performing straightforward assertions. In Part I, I argue that the role played by (...) Download Export citation Bookmark

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