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Journal articles on the topic 'Curry's paradox'

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1

Rogerson, Susan. "Natural Deduction and Curry's Paradox." Journal of Philosophical Logic 36, no. 2 (June 30, 2006): 155–79. http://dx.doi.org/10.1007/s10992-006-9032-0.

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2

Ahmad, Rashed. "A Recipe for Paradox." Australasian Journal of Logic 19, no. 5 (December 20, 2022): 254–81. http://dx.doi.org/10.26686/ajl.v19i5.7887.

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In this paper, we provide a recipe that not only captures the common structure of semantic paradoxes but also captures our intuitions regarding the relations between these paradoxes. Before we unveil our recipe, we first talk about a well-known schema introduced by Graham Priest, namely, the Inclosure Schema. Without rehashing previous arguments against the Inclosure Schema, we contribute different arguments for the same concern that the Inclosure Schema bundles together the wrong paradoxes. That is, we will provide further arguments on why the Inclosure Schema is both too narrow and too broad
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3

Bunder, M. W. "Some consistency proofs and a characterization of inconsistency proofs in illative combinatory logic." Journal of Symbolic Logic 52, no. 1 (March 1987): 89–110. http://dx.doi.org/10.2307/2273864.

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It is well known that combinatory logic with unrestricted introduction and elimination rules for implication is inconsistent in the strong sense that an arbitrary term Y is provable. The simplest proof of this, now usually called Curry's paradox, involves for an arbitrary term Y, a term X defined by X = Y(CPy).The fact that X = PXY = X ⊃ Y is an essential part of the proof.The paradox can be avoided by placing restrictions on the implication introduction rule or on the axioms from which it can be proved.In this paper we determine the forms that must be taken by inconsistency proofs of systems
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4

Beall, Jc, and Julien Murzi. "Two Flavors of Curry’s Paradox." Journal of Philosophy 110, no. 3 (2013): 143–65. http://dx.doi.org/10.5840/jphil2013110336.

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5

Bacon, Andrew. "Curry’s Paradox and ω -Inconsistency". Studia Logica 101, № 1 (7 липня 2012): 1–9. http://dx.doi.org/10.1007/s11225-012-9373-3.

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6

Joaquin, Jeremiah Joven. "OMNIPOTENCE, GAPS, AND CURRY." European Journal for Philosophy of Religion 14, no. 4 (December 16, 2022): 141–48. http://dx.doi.org/10.24204/ejpr.2022.3796.

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In “God of the Gaps: A Neglected Reply to God’s Stone Problem”, Jc Beall and A. J. Cotnoir offer a gappy solution to the paradox of (unrestricted) omnipotence that is typified by the classic stone problem. Andrew Tedder and Guillermo Badia, however, have recently argued that this solution could not be extended to a more serious Curry-like version of the paradox. In this paper, we show that such a gappy solution does extend to it
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7

Foukzon, Jaykov. "Relevant First-Order Logic LP# and Curry’s Paradox Resolution." Pure and Applied Mathematics Journal 4, no. 1 (2015): 6. http://dx.doi.org/10.11648/j.pamj.s.2015040101.12.

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8

Robles, Gemma, and José M. Méndez. "Curry’s Paradox, Generalized Modus Ponens Axiom and Depth Relevance." Studia Logica 102, no. 1 (May 5, 2013): 185–217. http://dx.doi.org/10.1007/s11225-013-9471-x.

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9

Aitken, Wayne, and Jeffrey A. Barrett. "Computer Implication and the Curry Paradox." Journal of Philosophical Logic 33, no. 6 (December 2004): 631–37. http://dx.doi.org/10.1023/b:logi.0000046077.72722.61.

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10

Irvine, A. D. "Gaps, Gluts, and Paradox." Canadian Journal of Philosophy Supplementary Volume 18 (1992): 273–99. http://dx.doi.org/10.1080/00455091.1992.10717306.

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Consider the following sentence schema:This sentence entails that ϕ.Call a sentence which is obtained from this schema by the substitution of an arbitrary, contingent sentence, s, for ϕ, the sentence CS (for ‘Curry’s Sentence’). Thus,(CS) This sentence entails that s.Now ask the following question: Is CS true?One sentence classically entails a second if and only if it is impossible for both the first to be true and the second to be false. Thus ‘Xanthippe is a mother’ entails ‘Xanthippe is female’ if and only if it is impossible for both ‘Xanthippe is a mother’ to be true and ‘Xanthippe is fema
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11

Aziani, Alberto, Serena Favarin, and Gian Maria Campedelli. "A Security Paradox. The Influence Of Governance-Type Organized Crime Over the Surrounding Criminal Environment." British Journal of Criminology 60, no. 4 (March 21, 2020): 970–93. http://dx.doi.org/10.1093/bjc/azz087.

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Abstract This study empirically demonstrates how governance-type organized crime groups (OCGs) operate as an enforcer against volume crimes in the communities they control and argues that their ability to mitigate volume crimes forms an integral component of controlling their territory in the long term. This is because the costs incurred from deterring other crimes are offset by the tangible and intangible revenues that it facilitates. Indeed, combating volume crimes fosters an environment in which OCGs can conduct their activities unfettered by other criminals and law enforcement agencies, sa
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12

Heath, Malcolm. "Greek Literature." Greece and Rome 64, no. 2 (October 2017): 182–87. http://dx.doi.org/10.1017/s0017383517000080.

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I began my last set of reviews by expressing doubts about the speculative literary prehistory in Mary Bachvarova'sFrom Hittite to Homer(G&R64 [2017], 65). Near Eastern antecedents also feature in Bruno Currie'sHomer's Allusive Art. Currie displays more methodological awareness and more intellectual suppleness: he recognizes the possibility of parallels arising independently (213–15), but denies that his examples can be coincidental, while acknowledging that this confronts us with a ‘glaring paradox’ (217). To be fair, he has a point in this instance, and in many of his other case studies;
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13

Akama, Seiki. "Curry's paradox in contractionless constructive logic." Journal of Philosophical Logic 25, no. 2 (April 1996). http://dx.doi.org/10.1007/bf00247001.

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14

Weber, Zach. "A Theorem and a Paradox." Inference: International Review of Science 6, no. 3 (November 17, 2021). http://dx.doi.org/10.37282/991819.21.65.

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15

Priest, Graham. "Löb’s Theorem and Curry’s Paradox." Inference: International Review of Science 6, no. 3 (September 23, 2021). http://dx.doi.org/10.37282/991819.21.49.

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If a sentence says of itself that it is not true, there is little choice but to take it for its word. But what if a sentence says of itself that it is true, or, in any case, provable? Logically, there is an inconsistency in proving this statement. Martin Löb and Haskell Curry were two mathematical logicians who sought to examine this question.
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16

Tapia-Navarro, Manuel Eduardo, and Luis Estrada-González. "When Curry met Abel." Logic Journal of the IGPL, July 16, 2020. http://dx.doi.org/10.1093/jigpal/jzaa006.

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Abstract Based on his Inclosure Schema and the Principle of Uniform Solution (PUS), Priest has argued that Curry’s paradox belongs to a different family of paradoxes than the Liar. Pleitz (2015, The Logica Yearbook 2014, pp. 233–248) argued that Curry’s paradox shares the same structure as the other paradoxes and proposed a scheme of which the Inclosure Schema is a particular case and he criticizes Priest’s position by pointing out that applying the PUS implies the use of a paraconsistent logic that does not validate Contraction, but that this can hardly seen as uniform. In this paper, we will
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17

Mora Ramirez, Rafael Félix. "A Pragmatic Dissolution of Curry’s Paradox." Logica Universalis, February 7, 2022. http://dx.doi.org/10.1007/s11787-022-00294-9.

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