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  1. Toward an Epistemology of Art.Arnold Cusmariu - 2016 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 3 (1):37-64.
    An epistemology of art has seemed problematic mainly because of arguments claiming that an essential element of a theory of knowledge, truth, has no place in aesthetic contexts. For, if it is objectively true that something is beautiful, it seems to follow that the predicate “is beautiful” expresses a property – a view asserted by Plato but denied by Hume and Kant. But then, if the belief that something is beautiful is not objectively true, we cannot be said to know (...)
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  2.  46
    Semantic Epistemology Redux: Proof and Validity in Quantum Mechanics.Arnold Cusmariu - 2016 - Logos and Episteme 7 (3):287-303.
    Definitions I presented in a previous article as part of a semantic approach in epistemology assumed that the concept of derivability from standard logic held across all mathematical and scientific disciplines. The present article argues that this assumption is not true for quantum mechanics (QM) by showing that concepts of validity applicable to proofs in mathematics and in classical mechanics are inapplicable to proofs in QM. Because semantic epistemology must include this important theory, revision is necessary. The one I propose (...)
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  3.  77
    About Property Identity.Arnold Cusmariu - 1978 - Auslegung 5 (3):139-146.
    W.V.O. Quine has famously objected that (1) properties are philosophically suspect because (2) there is no entity without identity and (3) the synonymy criterion for property identity won't do because there's no such concept as synonymy. (2) and (3) may or may not be right but do not prove (1). I reply that Leiniz's Law handles property identity, as it does for everything else, then respond to a variety of objections and confusions.
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  4.  66
    Translation and Belief Again.Arnold Cusmariu - 1983 - Analysis 43 (1):23-25.
    In "Translation and Belief" I presented a two-stage version of Church's translation argument against Carnap's analysis of belief. Here I show that the first stage is sufficient to establish a weaker, though no less significant conclusion, if supplemented with the principle that the same thought or idea can be expressed in different languages.
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  5.  15
    Toward a Semantic Approach in Epistemology.Arnold Cusmariu - 2012 - Logos and Episteme (4):531-543.
    Philosophers have recognized for some time the usefulness of semantic conceptions of truth and belief. That the third member of the knowledge triad, evidence, might also have a useful semantic version seems to have been overlooked. This paper corrects that omission by defining a semantic conception of evidence for science and mathematics and then developing a semantic conception of knowledge for these fields, arguably mankind’s most important knowledge repository. The goal is to demonstrate the advantages of having an answer to (...)
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  6.  60
    Translation and Belief.Arnold Cusmariu - 1982 - Analysis 42 (1):12-16.
    I present a formally explicit statement of Church's celebrated argument against Carnap's analysis of belief and defend it against well-known objections by W.V.O. Quine, R.M. Martin, and Michael Dummett.
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  7.  23
    Self-Predication and the "Third Man".Arnold Cusmariu - 1985 - Grazer Philosophische Studien 23 (1):105-118.
    Generations of scholars have worked to clarify the structure and content of the TMA, one of the most famous arguments in the history of philosophy. Though progress has been made, I show that a premise crucial to the argument has yet to be stated openly. This premise holds the way out of the predicament that enables Plato to retain intact the foundations of the Theory of Forms.
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  8.  14
    A Methodology for Teaching Logic-Based Skills to Mathematics Students.Arnold Cusmariu - 2016 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 3 (3):259-292.
    Mathematics textbooks teach logical reasoning by example, a practice started by Euclid; while logic textbooks treat logic as a subject in its own right without practical application to mathematics. Stuck in the middle are students seeking mathematical proficiency and educators seeking to provide it. To assist them, the article explains in practical detail how to teach logic-based skills such as: making mathematical reasoning fully explicit; moving from step to step in a mathematical proof in logically correct ways; and checking to (...)
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  9.  27
    A Definition of Impure Memory.Arnold Cusmariu - 1980 - Philosophical Studies 38 (3):305-308.
    Norman Malcolm has maintained that impure memory is a de dicto mixture of factual memory and later knowledge or inference. E. Stiffler objects that impure memory must be given a de re analysis because later knowledge must be applied to earlier memory to yield impure memory. I show that the conditions of Stiffler's de re analysis are neither necessary nor sufficient and that Malcolm can easily give a de dicto solution to the application problem.
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  10.  46
    Russell's Paradox Re-Examined.Arnold Cusmariu - 1979 - Erkenntnis 14 (3):365-370.
    I attempt to rescue Frege's naive conception of a set according to which there is a set for every property by redefining the technical concept of degree of an open sentence. Instead of making degree a function of the number of free variables, I make it a function of free variable occurrences. What Russell proved, then, is that there is not a relation-in-extension for every relation-in-intension. In a brief paper it is not possible to discuss how redefining the function-argument correlation (...)
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  11.  19
    Ryle's Paradox and the Concept of Exemplification.Arnold Cusmariu - 1980 - Grazer Philosophische Studien 10 (2):65-71.
    Gilbert Ryle has argued that Plato's Theory of Forms is a "logically vicious" doctrine because it's fundamental concept of exemplification leads to a vicious infinite regress. David Armstrong and Alan Donagan have agreed with Ryle. After making Ryle's argument logically explicit, I show the exemplification regress is illusory. Exemplification is a genuine universal alongside other relations; there is nothing paradoxical in its being exemplified over and over and over ... Platonism can define logical properties of this relation but not the (...)
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  12.  27
    Nonexistence Without Nonexistents.Arnold Cusmariu - 1978 - Philosophical Studies 33 (4):409-412.
    Platonism considers existence as well as nonexistence as genuine properties. Kant and others have denied the former and the latter seems absurd. I reply that critics have forgotten that Platonism means accepting properties that are neither exemplified (like being a unicorn) nor exemplifiable (like nonexistence). I also present a Platonist analysis of negative existentials without appealing to nonexistence.
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  13.  24
    On an Aristotelian Theory of Universals.Arnold Cusmariu - 1979 - Australasian Journal of Philosophy 57 (1):51 – 58.
    A theory purporting to solve the problem of universals must be able to explain predication, recurrence, and classification. How Platonism does this is well known. Here I take a hard look at an attempt by M.J. Cresswell to give an Aristotelian answer and show it to be a complete and utter failure. The answer does not eliminate commitment to universals and it is only half an answer anyway because it does not cover relational predicates, an omission that Russell noted dooms (...)
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  14.  1
    The Prometheus Challenge Redux.Arnold Cusmariu - forthcoming - Symposion. Theoretical and Applied Inquiries in Philosophy and Social Sciences.
    Arnold Cusmariu ABSTRACT: Following up on its predecessor in this Journal, the article defends philosophy as a guide to making and analyzing art; identifies Cubist solutions to the Prometheus Challenge, including a novel analysis of Picasso’s Les Demoiselles d’Avignon; defines a new concept of aesthetic attitude; proves the compatibility of Prometheus Challenge artworks with logic;...
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  15.  10
    Self-Relations.Arnold Cusmariu - 1978 - Southern Journal of Philosophy 16 (4):321-327.
    According to Platonism, "Socrates is wise" expresses the exemplification by Socrates of the property of being wise; while "Simmias is taller than Socrates" expresses the exemplification by <Simmias, Socrates> of the relation of being taller than. What about "Socrates is as tall as Socrates"? Is this property or relation exemplification? I show there is an answer that solves Russell's Paradox, Plato's "Third Man" argument, and the Greeling-Nelson paradox of non-self-applying terms.
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  16.  3
    Subsistence Demystified.Arnold Cusmariu - 1978 - Auslegung 6 (1):24-27.
    In "The Problems of Philosophy," Russell held that universals not exist, rather, they subsist. In the same work, he stated that universals are nevertheless "something," without intending to suggest that quantification over universals would require a special quantifier. I show these apparently conflicting statements can be reconciled with a simple definition of "subsists.".
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  17.  1
    Self-Predication and the " Third Man".Arnold Cusmariu - 1985 - Grazer Philosophische Studien 23:105-118.
    Considerable effort has gone into clarifying the structure and the content of the Third Man Argument. Nevertheless, the argument is still an enthymeme. A premise crucial to it has yet to be stated openly. This premise holds the way out of the predicament which, happily, enables Plato to retain intact the foundations of the Theory of Forms. The solution proposed allows us in addition to look beyond the TMA and place this ancient argument in the context of an important modern (...)
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  18. About Belief De Re.Cusmariu Arnold - 1977 - Logique Et Analyse 77 (3):138-147.
    I give the following analysis of de re belief: S believes with respect to X that it has the property F =df S believes a proposition which is for S extensionally to the effect that it has the property F. I spell this definition out and defend it against objections by M. Pastin, commenting also on his account of de re belief.
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  19. A Platonist Theory of Properties.Arnold Cusmariu - 1977 - Dissertation, Brown University
     
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  20. Logic for Kids.Arnold Cusmariu - manuscript
    No such book currently exists on the market, except for the usual puzzle books, which are an entirely different matter. The book consists of 16 booklets, about 30 pages each. All are written in conversational style, using very simple vocabulary. I explain why logic is about one word, “therefore,” how to use this word correctly, and how to tell when it has not been used correctly. Concepts related to this word are introduced as friends a child can play fun games (...)
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  21. Realizing Beauty.Arnold Cusmariu - manuscript
    Tackling the question whether beauty is a property as if the problem of universals could safely be ignored leads to confusions exemplified in Scruton 2009, McMahon 2007, Zangwill 2001 and Scarry 1999, among recent writers. I frame the question in the proper context with a measure of precision, clear away misunderstandings, present a logically valid argument for an affirmative answer, list three relevant and four irrelevant ways of countering the argument, and show that well-known views of Hume and Kant yield (...)
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  22. Translation and Belief.Arnold Cusmariu & Alonso Church - 1982 - Analysis 42 (1):12.
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  23. The Prometheus Challenge.Arnold Cusmariu - 2017 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 4 (1):17-47.
    Degas, Manet, Picasso, Dali and Lipchitz produced works of art exemplifying a seeming impossibility: Not only combining incompatible attributes but doing so consistently with aesthetic strictures Horace formulated in Ars Poetica. The article explains how these artists were able to do this, achieving what some critics have called ‘a new art,’ ‘a miracle,’ and ‘a new metaphor.’ The article also argues that the author achieved the same result in sculpture by means of philosophical analysis – probably a first in the (...)
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  24. The Prometheus Challenge.Arnold Cusmariu - forthcoming - Symposion. Theoretical and Applied Inquiries in Philosophy and Social Sciences.
    Arnold Cusmariu ABSTRACT: Degas, Manet, Picasso, Dali and Lipchitz produced works of art exemplifying a seeming impossibility: Not only combining incompatible attributes but doing so consistently with aesthetic strictures Horace formulated in Ars Poetica. The article explains how these artists were able to do this, achieving what some critics have called ‘a new art,’ ‘a...
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  25. The Prometheus Challenge Redux.Arnold Cusmariu - 2017 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 4 (2):175-209.
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  26. The Structure of an Aesthetic Revolution.Arnold Cusmariu - 2009 - Journal of Visual Arts Practice 8 (3):163-179.
    Brought about through philosophical analysis – a first in the history of art – paradigm shifts in the ontology and epistemology of sculpture are described, motivated, and exemplified with pieces they inspired. Navigating the new aesthetic environment requires an ‘escape from Plato's Cave’ by means of a kind of phenomenological reduction. The new conceptual foundation allows artists unprecedented levels of freedom to explore and innovate, connects sculpture to music, and has the potential to enhance significantly the appreciation of art and (...)
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  27. The Perils of Aphrodite.Arnold Cusmariu - manuscript
    Cinema is an effective medium for communicating the Platonist attitude toward Beauty as an attribute worthy of moral respect, as case studies can illustrate. Mine focuses on the work of the French actress Carole Bouquet, who launched her career in Buñuel’s Cet obscur objet du désir (That Obscure Object of Desire). Part 1 shows sins against Beauty to be a unifying theme of Bouquet’s films, which leave no doubt as to the appropriate response. Part 2 combines Plato’s distinction in the (...)
     
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