Results 211 to 220 of about 1,038 (254)
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SynthÈse, 2019
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Colin R Caret
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Colin R Caret
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A note on mathematical pluralism and logical pluralism
SynthÈse, 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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2005
AbstractThis chapter distinguishes between various senses in which one might be a pluralist about logic. In several of these, pluralism is uncontentiously correct. The difficult issue is whether there are different accounts of validity that are equally correct. It argues for logical monism in this regard.
Beall, JC, Restall, G
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AbstractThis chapter distinguishes between various senses in which one might be a pluralist about logic. In several of these, pluralism is uncontentiously correct. The difficult issue is whether there are different accounts of validity that are equally correct. It argues for logical monism in this regard.
Beall, JC, Restall, G
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A dialogical route to logical pluralism
SynthÈse, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rohan French, French Rohan
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Metalinguistic negotiation and logical pluralism
SynthÈse, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
TERESA Kouri Kissel
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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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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
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Logic and Ontological Pluralism
Journal of Philosophical Logic, 2011Ontological pluralism is the doctrine that there are different ways or modes of being. In contemporary guise, it is the doctrine that a logically perspicuous description of reality will use multiple quantifiers which cannot be thought of as ranging over a single domain.
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