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, 2016 Some of the next articles are maybe not open access.
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PLURAL ANCESTRAL LOGIC AS THE LOGIC OF ARITHMETIC
The Review of Symbolic Logic, 2022AbstractNeo-Fregeanism aims to provide a possible route to knowledge of arithmetic via Hume’s principle, but this is of only limited significance if it cannot account for how the vast majority of arithmetic knowledge, accrued by ordinary people, is obtained.
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Journal of Philosophical Logic, 2006
We present a plural logic that is as expressively strong as it can be without sacrificing axiomatisability, axiomatise it, and use it to chart the expressive limits set by axiomatisability. To the standard apparatus of quantification using singular variables our object-language adds plural variables, a predicate expressing inclusion (is/are/is one of ...
Alex Oliver, Timothy Smiley
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We present a plural logic that is as expressively strong as it can be without sacrificing axiomatisability, axiomatise it, and use it to chart the expressive limits set by axiomatisability. To the standard apparatus of quantification using singular variables our object-language adds plural variables, a predicate expressing inclusion (is/are/is one of ...
Alex Oliver, Timothy Smiley
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Beyond Logical Pluralism and Logical Monism
Logica Universalis, 2020The author reviews a number of ``kinds'' of logical pluralism by relying especially on \textit{M. Eklund}'s paper [``Making sense of logical pluralism'', Inquiry 63, No. 3--4, 433--454 (2020; \url{doi:10.1080/0020174X.2017.1321499})]. Towards the end of his article, the author briefly sketches what he calls a new ``view'' of logical pluralism that goes
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The Review of Symbolic Logic, 2009
A number of people have proposed that we should be pluralists about logic, but there are several things this can mean. Are there versions of logical pluralism that are both high on the interest scale and also true? After discussing some forms of pluralism that seem either insufficiently interesting or quite unlikely to be true, the paper suggests a new
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A number of people have proposed that we should be pluralists about logic, but there are several things this can mean. Are there versions of logical pluralism that are both high on the interest scale and also true? After discussing some forms of pluralism that seem either insufficiently interesting or quite unlikely to be true, the paper suggests a new
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Erkenntnis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on mathematical pluralism and logical pluralism
Synthese, 2019Mathematical pluralism notes that there are many different kinds of pure mathematical structures—notably those based on different logics—and that, qua pieces of pure mathematics, they are all equally good. Logical pluralism is the view that there are different logics (consequence relations), which are, in an appropriate sense, equally good.
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