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Journal articles on the topic 'Disjunctions'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

RINALDI, DAVIDE, PETER SCHUSTER, and DANIEL WESSEL. "ELIMINATING DISJUNCTIONS BY DISJUNCTION ELIMINATION." Bulletin of Symbolic Logic 23, no. 2 (June 2017): 181–200. http://dx.doi.org/10.1017/bsl.2017.13.

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AbstractCompleteness and other forms of Zorn’s Lemma are sometimes invoked for semantic proofs of conservation in relatively elementary mathematical contexts in which the corresponding syntactical conservation would suffice. We now show how a fairly general syntactical conservation theorem that covers plenty of the semantic approaches follows from an utmost versatile criterion for conservation given by Scott in 1974.To this end we work with multi-conclusion entailment relations as extending single-conclusion entailment relations. In a nutshell, the additional axioms with disjunctions in positive position can be eliminated by reducing them to the corresponding disjunction elimination rules, which in turn prove admissible in all known mathematical instances. In deduction terms this means to fold up branchings of proof trees by way of properties of the relevant mathematical structures.Applications include the syntactical counterparts of the theorems or lemmas known under the names of Artin–Schreier, Krull–Lindenbaum, and Szpilrajn. Related work has been done before on individual instances, e.g., in locale theory, dynamical algebra, formal topology and proof analysis.

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2

Rinaldi, Davide, Peter Schuster, and Daniel Wessel. "Eliminating disjunctions by disjunction elimination." Indagationes Mathematicae 29, no. 1 (February 2018): 226–59. http://dx.doi.org/10.1016/j.indag.2017.09.011.

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3

Tschumi, Bernard. "Disjunctions." Perspecta 23 (1987): 108. http://dx.doi.org/10.2307/1567111.

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4

Donoghue, Michael J., and Stephen A. Smith. "Patterns in the assembly of temperate forests around the Northern Hemisphere." Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 359, no. 1450 (October 29, 2004): 1633–44. http://dx.doi.org/10.1098/rstb.2004.1538.

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Recent studies of Northern Hemisphere biogeography have highlighted potentially significant differences between disjunction patterns in plants versus animals. To assess such differences, we compiled a larger sample of relevant plant phylogenies from which disjunction patterns, ancestral areas and directions of movement could be inferred. We considered 66 plant clades with species variously endemic today to eastern Asia (EA), Europe (including southwestern Asia), eastern North America (ENA), and/or western North America (WNA). Within these clades we focused on 100 disjunctions among these major areas, for 33 of which absolute divergence times have also been inferred. Our analyses uphold the view that disjunctions between EA and ENA are exceptionally common in plants, apparently more so than in animals. Compared with animals, we find few disjunctions between EA and WNA, consistent with increased extinction in WNA or failure of some groups to colonize that region. Taken at face value, our data also support the view that many temperate forest plant groups originated and diversified within EA, followed by movement out of Asia at different times, but mostly during the last 30 Myr. This favours Beringia over a North Atlantic land bridge as the primary path between the Old World and the New World. Additional studies are needed, especially to evaluate the impacts of differential extinction on these patterns, to more confidently establish divergence times, and to assess the statistical significance of these findings. Fortunately, many more plant groups show relevant disjunction patterns and could soon be added to such analyses.

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WILLIAMSON, MARK. "Oceanic disjunctions." Nature 351, no. 6322 (May 1991): 106. http://dx.doi.org/10.1038/351106c0.

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6

Zaki, Mohammed J., Naren Ramakrishnan, and Lizhuang Zhao. "Mining Frequent Boolean Expressions." International Journal of Knowledge Discovery in Bioinformatics 1, no. 3 (July 2010): 68–96. http://dx.doi.org/10.4018/jkdb.2010070105.

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Regulatory network analysis and other bioinformatics tasks require the ability to induce and represent arbitrary boolean expressions from data sources. In this paper, the authors introduce a novel framework called BLOSOM for mining (frequent) boolean expressions over binary-valued datasets. Boolean expressions can be grouped into four categories: pure conjunctions, pure disjunctions, conjunction of disjunctions, and disjunction of conjunctions. The authors’ main focus is on mining the simplest expressions (the minimal generators), but also to propose closure operators that yield closed (or unique maximal) boolean expressions. BLOSOM efficiently mines frequent boolean expressions by utilizing a number of methodical pruning techniques. Experiments showcase the behavior of BLOSOM for different input settings and parameter thresholds. Application studies on gene expression and gene regulation patterns showcase the effectiveness of this approach.

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7

Crawford, Daniel, Nam Lee, and Tod Stuessy. "Plant Species Disjunctions." Aliso 13, no. 2 (1992): 395–409. http://dx.doi.org/10.5642/aliso.19921302.10.

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8

Broxvall, Mathias, Peter Jonsson, and Jochen Renz. "Disjunctions, independence, refinements." Artificial Intelligence 140, no. 1-2 (September 2002): 153–73. http://dx.doi.org/10.1016/s0004-3702(02)00224-2.

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9

Chevallier, Coralie, Ira A. Noveck, Tatjana Nazir, Lewis Bott, Valentina Lanzetti, and Dan Sperber. "Making disjunctions exclusive." Quarterly Journal of Experimental Psychology 61, no. 11 (November 2008): 1741–60. http://dx.doi.org/10.1080/17470210701712960.

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This work examines how people interpret the sentential connective “or”, which can be viewed either inclusively (A or B or both) or exclusively (A or B but not both). Following up on prior work concerning quantifiers (Bott & Noveck, 2004; Noveck, 2001; Noveck & Posada, 2003), which shows that the common pragmatic interpretation of “some”, some but not all, is conveyed as part of an effortful step, we investigate how extra effort applied to disjunctive statements leads to a pragmatic interpretation of “or”, or but not both. Experiment 1 compelled participants to wait for three seconds before answering, hence giving them the opportunity to process the utterance more deeply. Experiments 2 and 3 emphasized “or”, either by visual means (“OR”) or by prosodic means (contrastive stress) as another way to encourage participants to apply more effort. Following a relevance-theoretic line of argument, we hypothesized that conditions encouraging more processing effort would give rise to more pragmatic inferences and hence to more exclusive interpretations of the disjunction. This prediction was confirmed in the three experiments.

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10

Galindo-Legaria, César A. "Outerjoins as disjunctions." ACM SIGMOD Record 23, no. 2 (June 1994): 348–58. http://dx.doi.org/10.1145/191843.191908.

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11

Cronan, Dennis. "Narrative Disjunctions inBeowulf." English Studies 99, no. 5 (July 3, 2018): 459–78. http://dx.doi.org/10.1080/0013838x.2018.1483617.

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12

Jackson, F. "Colour, disjunctions, programming." Analysis 58, no. 2 (April 1, 1998): 86–88. http://dx.doi.org/10.1093/analys/58.2.86.

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13

Milne, Peter. "Disjunction and Disjunctive Syllogism." Canadian Journal of Philosophy 28, no. 1 (March 1998): 21–32. http://dx.doi.org/10.1080/00455091.1998.10715969.

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The validity of argument by disjunctive syllogism (henceforth, DS) has been denied by proponents of relevant and paraconsistent logic (who are sometimes one and the same). DS is stigmatised for its role in inferences — most notably C.I. Lewis's derivation of that fallacy of irrelevance ex falso quodlibet (EFQ) — that involve both it and other rules of inference governing disjunction, or, to speak more precisely, other rules of inference taken to apply to the very same disjunction that obeys DS. In avoiding these inferences the road less travelled is to deny the identity rather than to deny DS: what follows is, then, an exercise in disjoining disjunctions.

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14

Karamanov, Miroslav, and Gérard Cornuéjols. "Branching on general disjunctions." Mathematical Programming 128, no. 1-2 (December 25, 2009): 403–36. http://dx.doi.org/10.1007/s10107-009-0332-3.

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15

Jankowski, Andrzej W. "Disjunctions in closure spaces." Studia Logica 44, no. 1 (1985): 11–24. http://dx.doi.org/10.1007/bf00370807.

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16

Baaz, Matthias, Alexander Leitsch, and Anela Lolic. "An abstract form of the first epsilon theorem." Journal of Logic and Computation 30, no. 8 (September 25, 2020): 1447–68. http://dx.doi.org/10.1093/logcom/exaa044.

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Abstract We present a new method of computing Herbrand disjunctions. The up-to-date most direct approach to calculate Herbrand disjunctions is based on Hilbert’s epsilon formalism (which is in fact also the oldest framework for proof theory). The algorithm to calculate Herbrand disjunctions is an integral part of the proof of the extended first epsilon theorem. This paper introduces a more abstract form of epsilon proofs, the function variable proofs. This leads to a computational improved version of the extended first epsilon theorem, which allows a nonelementary speed up of the computation of Herbrand disjunctions. As an application, sequent calculus proofs are translated into function variable proofs and a variant of the axiom of global choice is shown to be removable from proofs in Neumann–Bernays–Gödel set theory.

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17

Nicolae, Andreea Cristina. "A new perspective on the shielding property of positive polarity." Semantics and Linguistic Theory 27 (November 26, 2017): 266. http://dx.doi.org/10.3765/salt.v27i0.4156.

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In certain languages, disjunctions exhibit positive polarity behavior, which Szabolcsi (2002) argues can be diagnosed via the following four properties: (i) anti-licensing: no narrow scope interpretation under a clausemate negation, (ii) rescuing: acceptable in the scope of an even number of negative operators, (iii) shielding: acceptable under a clausemate negation if a universal quantifier intervenes, and (iv) locality of anti-licensing: acceptable in the scope of an extra-clausal negation. In recent work, Nicolae (2016, 2017), building on Spector 2014, argues that what distinguishes PPI disjunctions from polarity insensitive disjunctions is the fact that PPI-disjunctions obligatorily trigger epistemic inferences. That analysis, however, only accounts for the first two PPI properties. This paper extends that analysis to account for the second two properties, concluding that they should be seen as instantiations of the same phenomena, namely shielding by a universal quantifier.

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18

Harmse, J. "Continuous fuzzy conjunctions and disjunctions." IEEE Transactions on Fuzzy Systems 4, no. 3 (1996): 295–314. http://dx.doi.org/10.1109/91.531772.

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19

López de Sa, Dan. "Disjunctions, Conjunctions, and their Truthmakers." Mind 118, no. 470 (April 1, 2009): 417–25. http://dx.doi.org/10.1093/mind/fzp063.

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20

Maier, Pauline. "Disjunctions in Early American History." Historically Speaking 6, no. 4 (2005): 19–22. http://dx.doi.org/10.1353/hsp.2005.0035.

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21

Geurts, Bart. "Entertaining Alternatives: Disjunctions as Modals." Natural Language Semantics 13, no. 4 (December 2005): 383–410. http://dx.doi.org/10.1007/s11050-005-2052-4.

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22

Fukasawa, Ricardo, Laurent Poirrier, and Shenghao Yang. "Split cuts from sparse disjunctions." Mathematical Programming Computation 12, no. 2 (March 4, 2020): 295–335. http://dx.doi.org/10.1007/s12532-020-00180-9.

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23

Paganelli, Matteo, Domenico Beneventano, Francesco Guerra, and Paolo Sottovia. "Parallelizing Computations of Full Disjunctions." Big Data Research 17 (September 2019): 18–31. http://dx.doi.org/10.1016/j.bdr.2019.07.002.

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24

Kalomoiros, Alexandros, and Florian Schwarz. "Presupposition projection from disjunction is symmetric." Proceedings of the Linguistic Society of America 6, no. 1 (March 20, 2021): 556. http://dx.doi.org/10.3765/plsa.v6i1.4989.

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The role of linear order for presupposition projection is a key theoretical question, but the empirical status of (a-)symmetries in projection from various connectives remains controversial. We present experimental evidence that presupposition projection from disjunction is symmetric. 'Bathroom disjunctions', where either disjunct seems able to support a presupposition in the other if its negation entails it, have been argued to be evidence for symmetric projection; but there are alternative theoretical options. Adapting the paradigm of Mandelkern et al. (2020) for projection from conjunction, our experimental data supports the view that we are dealing with genuinely symmetric projection from disjunction. This contrasts with Mandelkern et al.'s findings for asymmetric projection from conjunction, and thus provides evidence for variation in projection (a-)symmetry across connectives, contra accounts proposing general accounts predicting uniform asymmetry effects due to left-to-right processing (e.g. Schlenker 2009).

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25

Meyer, Marie-Christine. "Deriving Hurford's Constraint." Semantics and Linguistic Theory 24 (April 5, 2015): 577. http://dx.doi.org/10.3765/salt.v24i0.2518.

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<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>I show that the infelicity of disjunctions in which one disjunct entails the other (“Hurford disjunctions”), as well as the felicity of a subclass of Hurford disjunctions (e.g., </span><span>some or all</span><span>), can be derived from a general principle of Brevity under the independently motivated assumption that uncertainty implicatures are generated in the grammar. </span></p></div></div></div>

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26

Vicente, Luis. "Definedness conditions on admission-of-ignorance moves." Linguistics in the Netherlands 33 (December 14, 2016): 166–79. http://dx.doi.org/10.1075/avt.33.12vic.

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Abstract Given a set of alternatives, a speaker can explicitly admit ignorance about which of them hold true. The (in)felicity of such admission-of-ignorance moves immediately following disjunctions and conjunctions follows from the semantics of or and and. However, semantics alone turns out to be insufficient in cases when the disjunction/conjunction and the admission-of-ignorance move are separated by additional conversational moves of acceptance, objection, or removal of an existing assertion. I argue that these patterns follow if admission-of-ignorance are associated to a speech act operator admit whose input is restricted to propositions that the current speaker is publicly committed to at the current conversational stage.

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27

Eiter, Thomas, and Helmut Veith. "On the complexity of data disjunctions." Theoretical Computer Science 288, no. 1 (October 2002): 101–28. http://dx.doi.org/10.1016/s0304-3975(01)00147-5.

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28

Schwalb, Eddie, and Rina Dechter. "Processing disjunctions in temporal constraint networks." Artificial Intelligence 93, no. 1-2 (June 1997): 29–61. http://dx.doi.org/10.1016/s0004-3702(97)00009-x.

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29

Watt, Adam. "Zone of Evaporation: Samuel Beckett's Disjunctions." Irish Journal of French Studies 7, no. 1 (December 1, 2007): 131–32. http://dx.doi.org/10.7173/164913307818418457.

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30

Serralunga, Fernán J., Pio A. Aguirre, and Miguel C. Mussati. "Including Disjunctions in Real-Time Optimization." Industrial & Engineering Chemistry Research 53, no. 44 (June 11, 2014): 17200–17213. http://dx.doi.org/10.1021/ie5004619.

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31

Dumitru, Magda L., and Gitte H. Joergensen. "Gestalt Reasoning with Conjunctions and Disjunctions." PLOS ONE 11, no. 3 (March 17, 2016): e0151774. http://dx.doi.org/10.1371/journal.pone.0151774.

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32

Noveck, Ira A., Gennaro Chierchia, Florelle Chevaux, Raphaelle Guelminger, and Emmanuel Sylvestre. "Linguistic-pragmatic factors in interpreting disjunctions." Thinking & Reasoning 8, no. 4 (November 2002): 297–326. http://dx.doi.org/10.1080/13546780244000079.

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33

Sanders, Sam. "Splittings and Disjunctions in Reverse Mathematics." Notre Dame Journal of Formal Logic 61, no. 1 (January 2020): 51–74. http://dx.doi.org/10.1215/00294527-2019-0032.

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34

Bonami, Pierre, Michele Conforti, Gérard Cornuéjols, Marco Molinaro, and Giacomo Zambelli. "Cutting planes from two-term disjunctions." Operations Research Letters 41, no. 5 (September 2013): 442–44. http://dx.doi.org/10.1016/j.orl.2013.05.005.

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35

Frankel, Steven A. "The clinical use of therapeutic disjunctions." Psychoanalytic Psychology 23, no. 1 (2006): 56–71. http://dx.doi.org/10.1037/0736-9735.23.1.56.

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36

Thorne, Robert. "Tropical Plant Disjunctions: A Personal Reflection." International Journal of Plant Sciences 165, S4 (July 2004): S137—S138. http://dx.doi.org/10.1086/424023.

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37

Calvert, Ken. "Eliminating disjunctions of leads-to properties." Information Processing Letters 49, no. 4 (February 1994): 189–94. http://dx.doi.org/10.1016/0020-0190(94)90010-8.

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38

Gerhardy, Philipp, and Ulrich Kohlenbach. "Extracting Herbrand disjunctions by functional interpretation." Archive for Mathematical Logic 44, no. 5 (May 3, 2005): 633–44. http://dx.doi.org/10.1007/s00153-005-0275-1.

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39

Bourguignon, Thomas, Nathan Lo, Jan Šobotník, David Sillam-Dussès, Yves Roisin, and Theodore A. Evans. "Oceanic dispersal, vicariance and human introduction shaped the modern distribution of the termites Reticulitermes , Heterotermes and Coptotermes." Proceedings of the Royal Society B: Biological Sciences 283, no. 1827 (March 30, 2016): 20160179. http://dx.doi.org/10.1098/rspb.2016.0179.

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Reticulitermes , Heterotermes and Coptotermes form a small termite clade with partly overlapping distributions. Although native species occur across all continents, the factors influencing their distribution are poorly known. Here, we reconstructed the historical biogeography of these termites using mitochondrial genomes of species collected on six continents. Our analyses showed that Reticulitermes split from Heterotermes + Coptotermes at 59.5 Ma (49.9–69.5 Ma 95% CI), yet the oldest split within Reticulitermes (Eurasia and North America) is 16.1 Ma (13.4–19.5 Ma) and the oldest split within Heterotermes + Coptotermes is 36.0 Ma (33.9–40.5 Ma). We detected 14 disjunctions between biogeographical realms, all of which occurred within the last 34 Ma, not only after the break-up of Pangaea, but also with the continents in similar to current positions. Land dispersal over land bridges explained four disjunctions, oceanic dispersal by wood rafting explained eight disjunctions, and human introduction was the source of two recent disjunctions. These wood-eating termites, therefore, appear to have acquired their modern worldwide distribution through multiple dispersal processes, with oceanic dispersal and human introduction favoured by the ecological traits of nesting in wood and producing replacement reproductives.

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40

WEN, Jun, and Stefanie M. ICKERT-BOND. "Evolution of the Madrean-Tethyan disjunctions and the North and South American amphitropical disjunctions in plants." Journal of Systematics and Evolution 47, no. 5 (September 2009): 331–48. http://dx.doi.org/10.1111/j.1759-6831.2009.00054.x.

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41

Honrado, João José, Carlos Aguiar, F. Barreto Caldas, Rubim Almeida Da Silva, and Jorge Henrique Capelo. "Paleoclimatic relicts and climatic disjunctions in the Flora of Northern Portugal." Estudos do Quaternário / Quaternary Studies, no. 4 (December 26, 2001): 49–60. http://dx.doi.org/10.30893/eq.v0i4.39.

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Climate is generally considered the main factor determining the global distribution of plant and animal species. Climate changes, depending on their rapidity and intensity, can give rise to events of (local, regionalor global) extinction, redistribution of flora and fauna, population genetic divergence, ecotype differentiation or even speciation. That is, climate changes reflect on both ecosystem structure and function, as well as on spatial organisation of the borders between biogeographic units, and eventually also on the genesis of both ecosystems and biogeographic units itsel. Specific physical conditions working at a local scale (microclimate), such as rocky cliffs, watercourses or special types of rock, can enable the persistence of species in territories where the macroclimate is no longer appropriate for their occurrence. There are also those species whose taxonomic independence occurred under climate conditions which were very different from the current ones, and then became adapted to the plant communities developing under the new climate. If these species are common extant taxa elsewhere, they are called climatic disjunctions, but if their distribution is nowadays very restricted, they are known as climatic relicts. A related concept is the one of "biogeographic relict". Traditionally, a biogeographic relict is anendemic taxon, with limited distribution range, descending of another taxon that was once widely distributed. Like many other concepts in Biogeography and Ecology, the concept of biogeographic relict depends on both space and time scales. Also, taxonomic entities of lower rank (the species and infra-specific ranks) are no more than useful abstractions, often very hard to relate to genetic distances. Therefore, we think it is possible to extend the concept of"relict" to the population level, at different biogeographic dimensions and time scales, as long as it is possible to relate current distribution patterns of those populations with specific palaeoclimatic periods and events. Within this wide concept of "relict", isolated populations of plants which are common in other biogeographic territories are here interpreted as climatic disjunctions. On the other hand, in order to keep the "taxon biogeographic relict" concept, we think it is more appropriate, on a small spatial scale, to speak of relict populations of a given taxon, or then, of territorial (local) relict, as long as thc specific biogeographic scale is referred. Their specific survival conditions, the potential uniqueness of their genetic information, and the biogeographic significance of the plant communities they live in, give climatic relicts and disjunctians a remarkable conservation value. They are also precious sources of information concerning past climates. ln this paper, we present a preliminary list of palaeoclimatic relicts and climatic disjunctions of the Northern Portugal flora. We recognise three main types of relicts occurring in the territory: I)Palaeoclimatic relicts (xerophytic and mesophytic subtypes); 2) Würmian temperate climatic disjunctions; and 3) Pre-würmian mediterranean climatic disjunctions. ln this first approach, we only listed those taxa whose isolated populations are clearly related to specific palaeoclimatic periods and events. For each taxon, we present information on ecology and distribution in Portugal. We also address the conservation status of these relict populations and discuss future perspectives for their long-term preservation in the territory.

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Paull, David J., Doug J. Mills, and Andrew W. Claridge. "Fragmentation of the Southern Brown BandicootIsoodon obesulus: Unraveling Past Climate Change from Vegetation Clearing." International Journal of Ecology 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/536524.

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Distribution modeling and vegetation suitability mapping were undertaken to assess (1) the role that past climate change played in fragmenting a subspecies of the endangered southern brown bandicootIsoodon obesulusand (2) the impacts of land cover change on the subspecies following European settlement of Australia. Based on a selection of bioclimatic variables, disjunctions in the broad distribution ofI. obesulus obesuluswere found. Vegetation maps representing the time of European settlement revealed two clear features. First, vegetation that was unsuitable for the subspecies corresponded to climatic disjunctions in its distribution, and, second, substantial additional areas were predicted to have suitable vegetation but not suitable climate. Vegetation mapping showed considerable change over two centuries after European settlement, so that most places that formerly had suitable climate and vegetation were cleared. Our analysis demonstrates that clearing of native vegetation has masked naturally occurring disjunctions in the distribution ofI. o. obesulus. This finding provides evidence that fragmented, regional-scale populations ofI. o. obesulusexisted prior to European settlement. Implications for conservation planning are discussed.

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43

Ferenczi, Miklós. "Hyperfinite logics and non-standard extensions of Boolean algebras." Publications de l'Institut Math?matique (Belgrade) 107, no. 121 (2020): 53–61. http://dx.doi.org/10.2298/pim2021053f.

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Infinitary propositional logics, i.e., propositional logics with infinite conjunction and disjunction, have some deficiencies, e.g., these logics fail to be compact or complete, in general. Such kind of infinitary propositional logics are introduced, called hyperfinite logics, which are defined in a non-standard framework of non-standard analysis and have hyperfinite conjunctions and disjunctions. They have more nice properties than infinitary logics have, in general. Furthermore, non-standard extensions of Boolean algebras are investigated. These algebras can be regarded as algebraizations of hyperfinite logics, they have several unusual properties. These Boolean algebras are closed under the hyperfinite sums and products, they are representable by hyperfinitely closed Boolean set algebras and they are omega-compact. It is proved that standard Boolean algebras are representable by Boolean set algebras with a hyperfinite unit.

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44

López-Astorga, Miguel. "Mental Logic and the Denials of Conjunctions and Disjunctions." Trans/Form/Ação 39, no. 1 (March 2016): 119–38. http://dx.doi.org/10.1590/s0101-31732016000100007.

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ABSTRACT: The mental models theory predicts that, while conjunctions are easier than disjunctions for individuals, when denied, conjunctions are harder than disjunctions. Khemlani, Orenes, and Johnson-Laird proved that this prediction is correct in their work of 2014. In this paper, I analyze their results in order to check whether or not they really affect the mental logic theory. My conclusion is that, although Khemlani et al.'s study provides important findings, such findings do not necessarily lead to questioning or to rejecting the mental logic theory.

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45

Bragaglia, Stefano. "Reasoning on Logic Programs with Annotated Disjunctions." Intelligenza Artificiale 6, no. 1 (2012): 77–96. http://dx.doi.org/10.3233/ia-2012-0029.

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46

Andrew, Edward. "Disjunctions: Theory and Practice, Teaching and Research." Review of Politics 78, no. 2 (2016): 291–93. http://dx.doi.org/10.1017/s0034670516000073.

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Beiner's excellent book is the fruit of more than a dozen years teaching his Horizons course that introduced graduate students to a critical examination of a wide range of twentieth-century political philosophers, some familiar to most students, such as Rawls and Arendt, and some unfamiliar, such as Weil and Löwith. In the 1980s and 1990s, before he taught the course, some of my most enjoyable teaching experiences were team teaching with Beiner courses on Foucault and Heidegger, which provided background for his effort to create a twentieth-century canon in his Horizons course. Beiner has been a steadfast defender of canonicity in a university bent on diluting the core curriculum.

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47

Stergiou, Kostas, and Manolis Koubarakis. "Backtracking algorithms for disjunctions of temporal constraints." Artificial Intelligence 120, no. 1 (June 2000): 81–117. http://dx.doi.org/10.1016/s0004-3702(00)00019-9.

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48

Harriman, Benjamin. "DISJUNCTIONS AND NATURAL PHILOSOPHY IN MARCUS AURELIUS." Classical Quarterly 69, no. 2 (December 2019): 858–79. http://dx.doi.org/10.1017/s0009838820000051.

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Abstract:

In his Meditations, Marcus Aurelius repeatedly presents a disjunction between two conceptions of the natural world. Either the universe is ruled by providence or there are atoms. At 4.3, we find perhaps its most succinct statement: ἀνανεωσάμενος τὸ διεζευγμένον τό⋅ ἤτοι πρόνοια ἢ ἄτομοι (recall the disjunction: either providence or atoms). The formulation of the disjunction differs; at 7.32, being composed of atoms is contrasted with a stronger sort of unity (ἕνωσις) that may survive death. In 10.6 and 11.18 Marcus simply offers φύσις (nature, construed in the Stoic manner as providentialist and causally efficacious) in opposition. On the surface, the contrast between the theory of atomism and the acceptance of providence seems to not warrant the term ‘disjunction’; it seems possible to accept both atomism and a causally determined providential universe. Yet, it is agreed on all sides, in the recent literature, that the relevant contrast for Marcus is not between the atomist and the non-atomist views of the constitution of the natural world as such but between two entailments that follow from the atomist Epicurean and the non-atomist Stoic advocacy of these positions. The contrast is between the providential ordering of the Stoic universe and the chaotic chance-ridden Epicurean model.

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Frankel, Steven A. "Interpersonal Strategies Used in Resolving Analytic Disjunctions." Contemporary Psychoanalysis 35, no. 3 (July 1999): 395–414. http://dx.doi.org/10.1080/00107530.1999.10746392.

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Amada, Gerald. "Hidden Faults: Recognizing and Resolving Therapeutic Disjunctions." American Journal of Psychotherapy 56, no. 1 (January 2002): 134–36. http://dx.doi.org/10.1176/appi.psychotherapy.2002.56.1.134.

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