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the claim
Nominalist logicians can consistently reject universals while accepting universal statements.
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CONTESTED
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the weight of evidence
4 sources for · 0 against

The retrieved sources discuss nominalism and universals generally, but do not provide sufficient direct evidence to fully support the claim that nominalist logicians can consistently reject universals while accepting universal statements.

Evidence for · 4
2019 · cited by 0
Universals such as humanity, redness, and mass are general entities instantiated by particulars. For example, Trudeau and Obama are particulars that instantiate the universal humanity just as stop signs and strawberries instantiate the universal redness. Universals are often held to occupy one or more of the theoretical roles associated with properties. Among other tasks, they are commonly thought to explain the similarities between distinct particulars and to serve as the meaning of expressions like ‘humanity’ and ‘being red’. Unlike trope theory, which rejects universals in favour of particularized property instances like the redness of this very apple or the humanity of Obama, universals are often described as ‘the one over the many’ as they are shared or had in common by distinct particulars. The division between particulars and universals is of both historical and contemporary significance. On one historically influential usage, nominalism is the thesis that reality is exhaustively particular. It therefore explicitly rejects general entities like universals. On a second and perhaps more contemporary usage, nominalism is the denial that there are any abstract entities such as numbers and propositions. Since universals are usually held to be abstract rather than concrete entities, proponents of universals and nominalists – regardless of how ‘nominalism’ is understood – typically stand opposed. Within contemporary metaphysics, there remains considerable disagreement about the nature of universals including their variety, structure, and the instantiation relation that ties universals to particulars. Note, also, that terminological complications abound in this area with some authors using ‘instantiation’ interchangeably with ‘exemplification’ or ‘characterization’ and others taking talk of ‘properties’, ‘qualities’, or ‘attributes’ to be synonymous with talk of ‘universals’. This latter practice often unhelpfully obscures important distinctions among competing views Universals - Routledge Encyclopedia of Philosophy Back to top Access to the full content is only available to members of institutions that have purchased access. If you belong to such an institution, please log in or find out more about how to order . Share Facebook Twitter Email Copy link Cite Cite close Loading content We were unable to load the content Print Contents Article Summary content locked 1. The case for universals content locked 2. The variety of universals content locked 3. Locating universals content locked 4. Structural universals content locked 5. Instantiating and individuating universals content locked Bibliography Thematic Universals By Cowling, Sam DOI 10.4324/9780415249126-N065-2 Versions content locked version 2 content unlocked version 1 Published 2019 DOI: 10.4324/9780415249126-N065-2 Version: v2, Published online: 2019 Retrieved August 08, 2026, from https://www.rep.routledge.com/articles/thematic/universals/v-2 Article Summary Universals such as humanity, redness , and mass are general entities instantiated by particulars. For example, Trudeau and Obama are particulars that instantiate the universal humanity just as stop signs and strawberries instantiate the universal redness . Universals are often held to occupy one or more of the theoretical roles associated with properties. Among other tasks, they are commonly thought to explain the similarities between distinct particulars and to serve as the meaning of expressions like ‘humanity’ and ‘being red’. Unlike trope theory, which rejects universals in favour of particularized property instances like the redness of this very apple or the humanity of Obama , universals are often described as ‘the one over the many’ as they are shared or had in common by distinct particulars. The division between particulars and universals is of both historical and contemporary significance. On one historically influential usage, nominalism is the thesis that reality is exhaustively particular. It therefore explicitly rejects general entities like universals. On a second and perhaps more contemporary usage, nominalism is the denial that there are any abstract entities such as numbers and propositions. Since universals are usually held to be abstract rather than concrete entities, proponents of universals and nominalists – regardless of how ‘nominalism’ is understood – typically stand opposed. Within contemporary metaphysics, there remains considerable disagreement about the nature of universals including their variety, structure, and the instantiation relation that ties universals to particulars. Note, also, that terminological complications abound in this area with some authors using ‘instantiation’ interchangeably with ‘exemplification’ or ‘characterization’ and others taking talk of ‘properties’, ‘qualities’, or ‘attributes’ to be synonymous with talk of ‘universals’. This latter practice often unhelpfully obscures important distinctions among competing views about properties. Share Facebook Twitter Email Copy link Cite Cite close Loading content We were unable to load the content Print Citing this article: Cowling, Sam. Universals, 2019, doi:10.4324/9780415249126-N065-2. Routledge Encyclopedia of Philosophy, Taylor and Francis, https://www.rep.routledge.com/articles/thematic/universals/v-2. Copyright © 1998-2026 Routledge. Related Articles Properties By Daly, Chris Particulars By Maurin, Anna-Sofia Abstract objects By Hale, Bob Nominalism By Guigon, Ghislain
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rails:sufficiency:supported:single_source:for=1+3p:against=0+0p | v55:sufficiency | v55:coherence_repaired:what=both

More for · 3
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division is between particulars and universals. Particulars are unique individual entities, like a specific apple. Universals are general features that different Metaphysics is the branch of philosophy that examines the basic nature or most fundamental structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of human understanding. Some philosophers, including Aristotle, designate metaphysics as the first philosophy to suggest that it is mor Universals are general entities, encompassing both properties and relations, that express what particulars are like and how they resemble one another. They are repeatable, meaning that they are not limited to a unique existent but can be instantiated by different particulars at the same time. For example, the particulars Nelson Mandela and Mahatma Gandhi instantiate the universal humanity, similar to how a…
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Nominalism in Metaphysics (Stanford Encyclopedia of Philosophy) Stanford Encyclopedia of Philosophy # Nominalism in Metaphysics First published Mon Apr 21, 2025 Nominalism is an exclusionary thesis in ontology. It asserts that there are no entities of certain sorts. Precisely which entities it excludes depends on the relevant variety of nominalism, but nominalist theses typically deny the existence of universals or abstract entities. For those who accept nominalism, a central challenge in metaphysics is to make sense of phenomena that anti-nominalist theories explain via universals or abstract entities. For instance, anti-nominalists often rely upon universals to explain similarity, propositions to explain linguistic meaning, and numbers to explain mathematical truth. Nominalists who reject the existence of such entities must therefore find a credible way to explain how things can be similar without sharing universals, have linguistic meaning without expressing propositions, or be truths of mathematics without the existence of any mathematical entities. Since nominalists seek to provide metaphysical theories without positing universals or abstract entities, the resulting nomin
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How the laws of logic lie about mathematical objects | Synthese | Springer Nature Link # How the laws of logic lie about mathematical objects - Published: 07 October 2025 - Open access - Original Research - Cite this article - Volume 206, article number 201, (2025) You have full access to this open access article Download PDF Save article View saved research Synthese Aims and scope Submit manuscript ## Abstract In ontological debates on the existence of mathematical objects, it has long been taken for granted that if we take our mathematical discourse at face value, it follows from the fact that our true mathematical statements refer to mathematical objects that mathematical objects exists; reference in true statements entails existence. In this paper, I argue that there are positions available in the philosophy of logic that allow us to dislodge this assumption, allowing for a nominalist position according to which statements such as ‘there are four prime numbers between 1 and 10’ are true and genuinely refer to numbers, without a corresponding statement asserting the existence of numbers following from it. Consequently, there is an overlooked nominalist position accordi
Everything we examined (5) — 4 independent sources
This check searched the claim as stated. It did not run a separate search for evidence against it.
  1. Universalspeer-reviewedsame source L3no side taken
  2. Universalsreferencesame source L3no side taken
  3. Metaphysicsreferenceno side taken
  4. Nominalism in Metaphysics (Stanford Encyclopedia of Philosophy)referenceno side taken
  5. How the laws of logic lie about mathematical objects | Synthese | Springer Nature Linkreferenceno side taken
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