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(2006). Chance Variation: Darwin on Orchids. Philosophy of Science 73(5): 629–641.\nCharles Darwin. (1872). The Origin of Species, 6th ed. London: John Murray.\nCharles Darwin. (1883). On the Variation of Animals and Plants Under Domestication, volume 2. New York: Appleton.\nFrederick Gravetter and Larry Wallnau. (2009). Statistics for the Behavioral Sciences (8th ed.). Belmont, CA: Wadsworth.\nIan Hacking. (1990). The Taming of Chance. Cambridge: Cambridge University Press.\nDaniel Kahneman. (2011). Thinking, Fast and Slow. New York: Farrar, Straus and Giroux.\nMarc Lange. (2013). Really Statistical Explanations and Genetic Drift. PhilosophyofScience 80: 169–188.\nMarc Lange. (2017). Because Without Cause: Non-Causal Explanations in Science and Mathematics. New York: Oxford University Press.\nStefan Roski. (2021). In Defence of Explanatory Realism. Synthese 199: 14121–14141\nErnest Rutherford and Hans Geiger. (1910). 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The illusion confusion. Frontiers in Psychology, 1–11. Retrieved January 29, 2016, from https:\u002F\u002Fdoi.org\u002F10.3389\u002Ffpsyg.2014.00231.\nBocca, E., Antonelli, A., & Mosciaro, O. (1965). Mechanical co-factors in olfactory stimulation. Acta Oto-Laryngologica, 59, 243–247.\nBregman, A. S. (1990). Auditory scene analysis: The perceptual organization of sound. Cambridge, MA: MIT Press.\nBregman, A. S., & Campbell, J. (1971). Primary auditory stream segregation and perception of order in rapid sequences of tones. Journal of Experimental Psychology, 89, 244–249.\nBurge, T. (2009). Perceptual objectivity. Philosophical Review, 118(3), 285–324.\nBurge, T. (2010). Origins of objectivity. New York: Oxford University Press.\nCarvalho, F. (2014). Olfactory objects. Disputatio, 6(38), 45–66.\nCavedon-Taylor, D. (forthcoming). Odors, objects and olfaction. American Philosophical Quarterly, 1–17.\nCompton, B. J., & Logan, G. D. (1993). Evaluating a computational model of perceptual grouping by proximity. Perception & Psychophysics, 53(4), 403–421.\nCooke, E., & Myin, E. (2011). Is trilled smell possible? How the structure of olfaction determines the phenomenology of smell. Journal of Consciousness Studies, 18(11–12), 59–95.\nGriffiths, T. D., & Warren, J. D. (2004). What is an auditory object? Nature Reviews Neuroscience, 5, 887–92.\nHahn, I., Scherer, P. W., & Mozell, M. M. (1994). A mass transport model of olfaction. Journal of Theoretical Biology, 162(2), 115–128.\nHummel, T., Barz, S., Lotsch, J., Roscher, S., Kettenmann, B., & Kobal, G. (1996). Loss of olfactory function leads to a decrease of trigeminal sensitivity. Chemical Senses, 21, 75–79.\nKennedy, M. J. (2007). Visual awareness of properties. Philosophy and Phenomenological Research, 75(2), 298–325.\nKobal, G., Van Toller, S., & Hummel, T. (1989). Is there directional smelling? Experientia, 45, 130–132.\nKubovy, M., & Van Valkenburg, D. (2001). Auditory and visual objects. Cognition, 80, 97–126.\nLevitin, D. J. (2006). This is your brain on music: The science of a human obsession. New York: Dutton.\nLycan, W. G. (1996). Layered perceptual representation. Philosophical Issues, 7, 81–100.\nLycan, W. G. (2000). The slighting of smell. In N. Bhushan & S. Rosenfeld (Eds.), Of minds and molecules: New philosophical perspectives on chemistry (pp. 273–290). New York: Oxford University Press.\nMacpherson, F. (2011a). Introduction: Individuating the senses. In F. Macpherson (Ed.), The senses: Classic and contemporary philosophical perspectives (1st ed., pp. 3–43). New York: Oxford University Press.\nMacpherson, F. (2011b). Taxonomizing the senses. Philosophical Studies, 153, 123–142.\nMainland, J., & Sobel, N. (2006). The sniff is part of the olfactory percept. Chemical Senses, 31, 181–196.\nMatthen, M. (2005). Seeing, doing, and knowing. Oxford: Oxford University Press.\nMatthen, M. (2010). On the diversity of auditory objects. Review of Philosophy and Psychology, 1(1), 63–89.\nMatthen, M. (2015). The Individuation of the Senses. In M. Matthen (Ed.), The Oxford handbook of philosophy of perception. Oxford: Oxford University Press.\nNoë, A. (2004). Action in perception. Cambridge, MA: MIT Press.\nNoë, A. (2006). Experience without the head. In T. Gendler & J. Hawthorne (Eds.), Perceptual experience (1st ed., pp. 411–434). New York: Oxford University Press.\nNudds, M. (2004). The significance of the senses. Proceedings of the Aristotelian Society, 104(1), 31–51.\nO’Callaghan, C. (2008). Object perception: Vision and audition. Philosophy Compass, 3, 803–829.\nO’Callaghan, C. (2016). Objects for multisensory perception. Philosophical Studies, 173(5), 1269–1289.\nPeacocke, C. (1983). Sense and content. Oxford: Oxford University Press.\nPeterson, M., & Gibson, B. (1994). Must figure-ground organization precede object recognition? An assumption in peril. Psychological Science, 5, 253–259.\nPfeiffer, J. C., Hollowood, T., Hort, J., & Taylor, A. J. (2005). Temporal synchrony and integration of sub-threshold taste and smell signals. Chemical Senses, 30(7), 539–545.\nPorter, J., Craven, B., Khan, R. M., Chang, S.-J., Kang, I., Judkewitz, B., et al. (2007). Mechanisms of scent-tracking in humans. Nature Neuroscience, 10, 27–29.\nProetz, A. (1941). Applied physiology of the nose. St Louis, MO: Annals Publishing Company.\nRichardson, L. (2013). Sniffing and smelling. Philosophical Studies, 162, 401–419.\nRoberts, T. (2015). A breath of fresh air: Absence and the structure of olfactory perception. Pacific Philosophical Quarterly, 97(3), 400–420.\nStevenson, R. J. (2011). Olfactory illusions: Where are they? Consciousness and Cognition, 20, 1887–1898.\nStevenson, R. J. (2014). Object concepts in the chemical senses. Cognitive Science, 38(7), 1360–1383.\nTeghtsoonian, R., & Teghtsoonian, M. (1982). Perceived effort in sniffing: The effects of sniff pressure and resistance. Perception & Psychophysics, 31(4), 324–329.\nvon der Heydt, R. (2015). Figure-ground organization and the emergence of proto-objects in the visual cortex. Frontiers in Psychology, 6, 1–10.\nWertheimer, M. (1923\u002F1938). Laws of organization in perceptual forms. In W. Ellis (Ed.), A source book of Gestalt psychology (pp. 71–88). London: Routledge & Kegan Paul.\nWilson, D. A., & Stevenson, R. J. (2003). The fundamental role of memory in olfactory perception. Trends in Neurosciences, 26(5), 243–247.\nWilson, D. A., & Stevenson, R. J. (2006). Learning to smell: Olfactory perception from neurobiology to behavior. Baltimore, MD: Johns Hopkins University Press.\nWilson, D. A., & Stevenson, R. J. (2007). Odour perception: An object-recognition approach. Perception, 36(12), 1821–1833.\nWiltrout, C., Dogra, S., & Linster, C. (2003). Configurational and nonconfigurational interactions between odorants in binary mixtures. Behavioural Neuroscience, 117(2), 236–45.\nWysocki, C. J., Cowart, B. J., & Radil, T. (2003). Nasal trigeminal chemosensitivity across the adult life span. Perception & Psychophysics, 65, 115–122.\nYoung, B. D. (2016). Smelling matter. Philosophical Psychology, 29(4), 520–534.",{"EN":720},"Objects are central to perception and our interactions with the world. We perceive the world as parsed into discrete entities that instantiate particular properties, and these items capture our attention and shape how we interact with the environment. Recently there has been some debate about whether the sense of smell allows us to perceive odours as discrete objects, with some suggesting that olfaction is aspatial and doesn’t allow for object-individuation. This paper offers two empirically tractable criteria for assessing whether particular objects are exhibited in perceptual experience—(1) susceptibility to figure-ground segregation and (2) perceptual constancies—and argues that these criteria are fulfilled by olfactory perception, and thus there are olfactory objects. I argue that there are, in fact, two different ways that olfaction allows for figure-ground segregation. First, I look at various Gestalt grouping principles, which are thought to govern when features are perceived as grouped into structured wholes, segregated from everything around them. I argue that these principles apply to olfactory experience, providing evidence of non-spatial figure-ground segregation. Second, I defend the contentious idea that a spatial variety of figure-ground segregation can also occur in olfaction. To see this, however, we need to look to empirical evidence showing that tactile stimulation and bodily movements play a crucial role in olfactory phenomenology. Finally, I draw on empirical evidence and olfactory phenomenology to argue that there are perceptual constancies in olfactory experience, allowing us to perceive odours as coherent objects that survive shifts in our perspectives on the world.",{"EN":722},"Smelling objects",{"VOID":724},"10.1007\u002Fs11229-017-1657-8","http:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs11229-017-1657-8",[727],{"id":728,"sortIndex":52,"researcher":23,"roles":729,"affiliations":730,"properties":739},"4983cf72-f126-4a03-95f4-d16ad9da1f89",[186],[731],{"id":23,"sortIndex":52,"affiliation":732,"properties":23},{"id":733,"createTime":734,"updateTime":734,"relativeEntities":735,"slug":23,"properties":736,"entityType":51,"verifyStatus":22,"verifyTime":23,"verifyNote":23,"syncStatus":22,"languages":23,"translateLanguages":23,"viewCount":52},"a874e453-ffe2-461f-bb5c-f4d66be75fd0","2023-12-14T07:59:01.917+00:00",[],{"title":737},{"VI":738},"C\u002FO 2.16, Postgraduate Office, Dugald Stewart Building, The University of Edinburgh, Edinburgh, UK",{"title":740},{"VI":741},"Becky Millar",{"url":725,"publisher":743,"properties":787},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":744,"slug":10,"properties":745,"entityType":21,"verifyStatus":22,"verifyTime":23,"verifyNote":23,"syncStatus":22,"languages":23,"translateLanguages":23,"viewCount":24,"subjectFields":751,"manageAffiliations":752,"indexDatabases":753,"url":139,"thumbnailPath":23,"statistic":782,"gsStatistic":23,"type":23,"analyzePriority":23},[],{"country":746,"issn":747,"introduce":748,"eissn":749,"title":750},{"VOID":13},{"VOID":15},{"EN":17},{"VOID":19},{"EN":10},[],[],[754,761,768,775],{"id":88,"indexDatabase":755,"url":83,"indexYears":23,"academicFieldIds":760,"indexDatabaseRanking":23},{"id":90,"createTime":91,"updateTime":92,"relativeEntities":756,"label":757,"description":758,"key":99,"publicationTags":759,"standard":23},[],{"EN":95,"VI":95},{"VI":97,"EN":98},[101,82],[85],{"id":68,"indexDatabase":762,"url":83,"indexYears":23,"academicFieldIds":767,"indexDatabaseRanking":23},{"id":70,"createTime":71,"updateTime":72,"relativeEntities":763,"label":764,"description":765,"key":79,"publicationTags":766,"standard":23},[],{"EN":75,"VI":75},{"VI":77,"EN":78},[81,82],[85,86],{"id":120,"indexDatabase":769,"url":133,"indexYears":134,"academicFieldIds":774,"indexDatabaseRanking":138},{"id":122,"createTime":123,"updateTime":124,"relativeEntities":770,"label":771,"description":772,"key":130,"publicationTags":773,"standard":23},[],{"EN":127,"VI":127},{"EN":127,"VI":129},[132],[136,137],{"id":104,"indexDatabase":776,"url":83,"indexYears":23,"academicFieldIds":781,"indexDatabaseRanking":23},{"id":106,"createTime":107,"updateTime":108,"relativeEntities":777,"label":778,"description":779,"key":115,"publicationTags":780,"standard":23},[],{"EN":111,"VI":111},{"VI":113,"EN":114},[117,82],[85],{"impactFactor":52,"impactFactorByYear":783,"i10Index":52,"i10IndexLast5Year":52,"totalPublication":142,"totalPublicationByYear":784,"totalCitation":52,"totalCitationByYear":785,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":786,"hindexLast5Year":52,"hindex":52},{},{"1936":144,"1937":145,"1938":146,"1939":145,"1946":24,"1947":147,"1949":144,"1955":145,"1956":147,"1959":145,"1960":145,"1966":145,"1968":144,"1969":146,"1971":145,"1972":145,"1973":144,"1974":145,"1975":145,"1976":146,"1977":144,"1978":146,"1979":144,"1980":144,"1981":145,"1983":147,"1985":148,"1986":144,"1987":144,"1988":24,"1989":146,"1991":146,"1992":145,"1993":147,"1994":145,"1995":144,"1997":145,"1998":144,"1999":24,"2000":147,"2001":146,"2002":147,"2003":146,"2004":149,"2005":144,"2006":150,"2007":24,"2008":146,"2009":151,"2010":149,"2011":148,"2012":146,"2013":144,"2014":152,"2015":153,"2016":154,"2017":153,"2018":152,"2019":150,"2020":152,"2021":155,"2022":155,"2023":156},{},{},{"volume":788,"pages":790},{"VOID":789},"196",{"VOID":791},"4279-4303","2017-12-20",2017,{"id":795,"createTime":796,"updateTime":797,"relativeEntities":798,"slug":799,"properties":800,"entityType":178,"verifyStatus":179,"verifyTime":797,"verifyNote":180,"syncStatus":22,"languages":23,"translateLanguages":23,"viewCount":52,"primaryUrl":809,"fullTextUrl":23,"authors":810,"publicationType":199,"publisherRelationship":828,"citationCount":23,"citationInfo":23,"publishDate":877,"publishYear":251,"citationAnalyzeStatus":22,"lastCitationAnalyze":23,"indexDatabases":23,"openAccess":23,"references":23,"isForceReanalyzing":252},"44884171-9cee-45db-9930-f6db6e22abf9","2023-11-25T20:55:27.445+00:00","2025-01-10T23:58:31.667+00:00",[],"Is-the-HYPE-about-strength-warranted-",{"references":801,"abstract":803,"title":805,"doi":807},{"VOID":802},"Arai, T. (2020). Ordinal analysis with an introduction to proof theory. Logic in Asia. Springer.\nBeall, J., & Restall, G. (2006). Logical pluralism. Oxford University Press.\nCantini, A. (1989). Notes on formal theories of truth. Zeitschrift für mathematische Logik und Grundlagen der Mathematik, 35, 97–130.\nCarnap, R. (1937). The logical syntax of language. Routledge and Kegan Paul.\nCarnap, R. (1947). Meaning and necessity. University of Chicago Press.\nCastaldo, L., & Stern, J. (2022). KF, PKF, and Reinhardt’s Program. The Review of Symbolic Logic, 1–26. https:\u002F\u002Fdoi.org\u002F10.1017\u002FS1755020322000089.\nDean, W. (2014). Arithmetical reflection and the provability of soundness. Philosophia Mathematica, 23(1), 31–64.\nFeferman, S. (1984). Toward useful type-free theories. I. The Journal of Symbolic Logic, 49(1), 75–111.\nFeferman, S. (1991). Reflecting on incompleteness. The Journal of Symbolic Logic, 56, 1–47.\nFeferman, S. (2008). Axioms for determinateness and truth. Review of Symbolic Logic, 1, 204–217.\nFeferman, S. (2014). Logic, mathematics and conceptual structuralism. In P. Rush (Ed.), The metaphysics of logic (pp. 72–92). Cambridge University Press.\nField, H. (2020). The power of naïve truth. The Review of Symbolic Logic, 15(1), 225–258.\nFischer, M. (2021a). Another look at reflection. Erkenntnis. https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs10670-020-00363-9\nFischer, M. (2021b). Sequent calculi for the propositional logic of hype. Studia Logica. https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs11225-021-09971-0\nFischer, M., Halbach, V., Kriener, J., & Stern, J. (2015). Axiomatizing semantic theories of truth? Review of Symbolic Logic, 8, 257–278.\nFischer, M., Horsten, L., & Nicolai, C. (2017). Iterated reflection over full disquotational truth. Journal of Logic and Computation, 27(8), 2631–2651.\nFischer, M., Horsten, L., & Nicolai, C. (2019). Hypatia’s silence truth justification and entitlement. Noûs. https:\u002F\u002Fdoi.org\u002F10.1111\u002Fnous.12292\nFischer, M., Nicolai, C., & Dopico, P. (2021). Nonclassical truth with classical strength. A proof-theoretic analysis of compositional truth over hype. Review of Symbolic Logic. https:\u002F\u002Fdoi.org\u002F10.1017\u002FS1755020321000137\nFriedman, H., & Sheard, M. (1987). An axiomatic approach to self-referential truth. Annals of Pure and Applied Logic, 33, 1–21.\nFujimoto, K. (2010). Relative truth definability of axiomatic truth theories. Bulletin of Symbolic Logic, 16(3), 305–344.\nGupta, A., & Belnap, N. (1993). The revision theory of truth. MIT Press.\nHájek, P., & Pudlák, P. (1993). Metamathematics of first-order arithmetic. Springer.\nHalbach, V. (2014). Axiomatic theories of truth (revised ed.). Cambridge University Press\nHalbach, V., & Horsten, L. (2006). Axiomatizing Kripke’s theory of truth. The Journal of Symbolic Logic, 71, 677–712.\nHalbach, V., & Nicolai, C. (2018). On the costs of nonclassical logic. Journal of Philosophical Logic, 47, 227–257.\nHalbach, V., & Welch, P. (2009). Necessities and necessary truths: A prolegomenon to the use of modal logic in the analysis of intensional notions. Mind, 118, 71–100.\nHjortland, O. T. (2017). Anti-exceptionalism about logic. Philosophical Studies, 174(3), 631–658.\nKripke, S. (1975). Outline of a theory of truth. The Journal of Philosophy, 72, 690–716.\nLeigh, G. E. (2016). Reflecting on truth. IfCoLog Journal of Logics and their Applications, 3(4), 557–594.\nLeigh, G. E., & Nicolai, C. (2013). Axiomatic truth, syntax and metatheoretic reasoning. Review of Symbolic Logic, 6, 613–636.\nLeitgeb, H. (2007). What theories of truth should be like (but cannot be). Philosophy Compass, 2(2), 276–290.\nLeitgeb, H. (2019). Hype: A system of hyperintensional logic (with an application to semantic paradoxes). Journal of Philosophical Logic, 48, 305–405.\nLindström, P. (1997). Aspects of incompleteness. Lecture notes in logic (Vol. 10). Springer.\nMaddy, P. (2008). Second philosophy: A naturalistic method. Oxford University Press.\nMount, B. M., & Waxman, D. (2021). Stable and unstable theories of truth and syntax. Mind. https:\u002F\u002Fdoi.org\u002F10.1093\u002Fmind\u002Ffzaa034\nNegri, S., & Plato, J. V. (2001). Structural proof theory. Cambridge University Press.\nNicolai, C. The dream of recapture. Analysis (to appear).\nNicolai, C. (2018). Provably true sentences across axiomatizations of Kripke’s theory of truth. Studia Logica, 106(1), 101–130.\nOdintsov, S., & Wansing, H. (2021). Routley star and hyperintensionality. Journal of Philosophical Logic, 50, 33–56.\nParsons, C. (2008). Mathematical thought and its objects. Cambridge University Press.\nReinhardt, W. N. (1986). Some remarks on extending and interpreting theories with a partial predicate for truth. The Journal of Philosophical Logic, 15, 219–251.\nRosenblatt, L. (2020). Classical recapture and maximality. Philosophical Studies. https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs11098-020-01517-9\nShapiro, S. (1998). Proof and truth: Through thick and thin. The Journal of Philosophy, 95, 493–521.\nShapiro, S. (2014). Varieties of logic. Oxford University Press.\nSperanski, S. O. (2021). Negation as a modality in a quantified setting. Journal of Logic and Computation. https:\u002F\u002Fdoi.org\u002F10.1093\u002Flogcom\u002Fexab025\nStern, J. (2016). Toward predicate approaches to modality. Springer.\nTroelstra, A. S., & Schwichtenberg, H. (2000). Basic proof theory (2nd ed.). Cambridge University Press.\nWarren, J. (2020). Shadows of syntax. Oxford University Press.\nWilliamson, T. (2017). Semantic paradoxes and abductive methodology. In B. Armour-Garb (Ed.), Reflections on the liar. Oxford University Press.\nZicchetti, M. (2022). Cognitive projects and the trustworthiness of positive truth. Erkenntnis. https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs10670-022-00516-y",{"EN":804},"In comparing classical and non-classical solutions to the semantic paradoxes arguments relying on strength have been influential. In this paper I argue that non-classical solutions should preserve the proof-theoretic strength of classical solutions. Leitgeb’s logic of HYPE is then presented as an interesting possibility to strengthen FDE with a suitable conditional. It is shown that HYPE allows for a non-classical Kripkean theory of truth, called KFL, that is strong enough for the relevant purposes and has additional attractive properties.",{"EN":806},"Is the HYPE about strength warranted?",{"VOID":808},"10.1007\u002Fs11229-022-03673-3","https:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs11229-022-03673-3",[811],{"id":812,"sortIndex":52,"researcher":23,"roles":813,"affiliations":814,"properties":825},"b2c9a506-4fd9-4996-915c-1d105d11f16d",[186],[815],{"id":23,"sortIndex":52,"affiliation":816,"properties":23},{"id":817,"createTime":818,"updateTime":819,"relativeEntities":820,"slug":821,"properties":822,"entityType":51,"verifyStatus":22,"verifyTime":23,"verifyNote":23,"syncStatus":22,"languages":23,"translateLanguages":23,"viewCount":52},"98472dff-9e4c-452f-91ac-7e50a91e2293","2023-12-17T19:43:01.588+00:00","2025-01-05T01:18:37.143+00:00",[],"Ludwig-Maximilians-Universit%C3%A4t-M%C3%BCnchen-Munich-Germany",{"title":823},{"VI":824},"Ludwig-Maximilians-Universität München, Munich, Germany",{"title":826},{"VI":827},"Martin Fischer",{"url":809,"publisher":829,"properties":873},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":830,"slug":10,"properties":831,"entityType":21,"verifyStatus":22,"verifyTime":23,"verifyNote":23,"syncStatus":22,"languages":23,"translateLanguages":23,"viewCount":24,"subjectFields":837,"manageAffiliations":838,"indexDatabases":839,"url":139,"thumbnailPath":23,"statistic":868,"gsStatistic":23,"type":23,"analyzePriority":23},[],{"country":832,"issn":833,"introduce":834,"eissn":835,"title":836},{"VOID":13},{"VOID":15},{"EN":17},{"VOID":19},{"EN":10},[],[],[840,847,854,861],{"id":88,"indexDatabase":841,"url":83,"indexYears":23,"academicFieldIds":846,"indexDatabaseRanking":23},{"id":90,"createTime":91,"updateTime":92,"relativeEntities":842,"label":843,"description":844,"key":99,"publicationTags":845,"standard":23},[],{"EN":95,"VI":95},{"VI":97,"EN":98},[101,82],[85],{"id":68,"indexDatabase":848,"url":83,"indexYears":23,"academicFieldIds":853,"indexDatabaseRanking":23},{"id":70,"createTime":71,"updateTime":72,"relativeEntities":849,"label":850,"description":851,"key":79,"publicationTags":852,"standard":23},[],{"EN":75,"VI":75},{"VI":77,"EN":78},[81,82],[85,86],{"id":120,"indexDatabase":855,"url":133,"indexYears":134,"academicFieldIds":860,"indexDatabaseRanking":138},{"id":122,"createTime":123,"updateTime":124,"relativeEntities":856,"label":857,"description":858,"key":130,"publicationTags":859,"standard":23},[],{"EN":127,"VI":127},{"EN":127,"VI":129},[132],[136,137],{"id":104,"indexDatabase":862,"url":83,"indexYears":23,"academicFieldIds":867,"indexDatabaseRanking":23},{"id":106,"createTime":107,"updateTime":108,"relativeEntities":863,"label":864,"description":865,"key":115,"publicationTags":866,"standard":23},[],{"EN":111,"VI":111},{"VI":113,"EN":114},[117,82],[85],{"impactFactor":52,"impactFactorByYear":869,"i10Index":52,"i10IndexLast5Year":52,"totalPublication":142,"totalPublicationByYear":870,"totalCitation":52,"totalCitationByYear":871,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":872,"hindexLast5Year":52,"hindex":52},{},{"1936":144,"1937":145,"1938":146,"1939":145,"1946":24,"1947":147,"1949":144,"1955":145,"1956":147,"1959":145,"1960":145,"1966":145,"1968":144,"1969":146,"1971":145,"1972":145,"1973":144,"1974":145,"1975":145,"1976":146,"1977":144,"1978":146,"1979":144,"1980":144,"1981":145,"1983":147,"1985":148,"1986":144,"1987":144,"1988":24,"1989":146,"1991":146,"1992":145,"1993":147,"1994":145,"1995":144,"1997":145,"1998":144,"1999":24,"2000":147,"2001":146,"2002":147,"2003":146,"2004":149,"2005":144,"2006":150,"2007":24,"2008":146,"2009":151,"2010":149,"2011":148,"2012":146,"2013":144,"2014":152,"2015":153,"2016":154,"2017":153,"2018":152,"2019":150,"2020":152,"2021":155,"2022":155,"2023":156},{},{},{"volume":874,"pages":875},{"VOID":247},{"VOID":876},"1-25","2022-04-16",{"id":879,"createTime":880,"updateTime":881,"relativeEntities":882,"slug":883,"properties":884,"entityType":178,"verifyStatus":179,"verifyTime":881,"verifyNote":180,"syncStatus":22,"languages":23,"translateLanguages":23,"viewCount":52,"primaryUrl":893,"fullTextUrl":23,"authors":894,"publicationType":199,"publisherRelationship":920,"citationCount":23,"citationInfo":23,"publishDate":970,"publishYear":971,"citationAnalyzeStatus":22,"lastCitationAnalyze":23,"indexDatabases":23,"openAccess":23,"references":23,"isForceReanalyzing":252},"027b647a-4614-4cd7-b117-4f4c3da9ec5b","2024-01-13T10:50:29.562+00:00","2025-02-19T23:57:42.077+00:00",[],"Simplified-Models-Establishing-some-of-N%C3%A9-zondet-s-Results-on-Erd%C3%B6s-Woods-Conjecture",{"references":885,"abstract":887,"title":889,"doi":891},{"VOID":886},"Dubois-Reymond, P.: 1868, 'Bemerkungen über die verschiedenen Werthe welche eine Funktion zweier reellen Variabeln erhält, wenn man diese Variabeln entweder nacheinander oder gewissen Beziehungen gemäss gleichzeitig verschwinden lässt', Journal für die reine und angewandte Mathematik 70, 10–45.\nDubois-Reymond, P.: 1871, 'Théorème Général Concernant la Grandeur Relative des Infinis de Fonctions et de Leurs Dérivées', Journal für die reine und angewandte Mathematik 74, 294–304.\nNézondet, F.: 1997, 'p-destinées et Applications aux Structures Arithmétiques avec Successeur et Coprimarité', Thèse, Laboratoire de Logique, Algorithmique et Informatique, Universitéd'Auvergne, (Clermont-Ferrand I).\nWoods, A.: 1981, 'Some Problems in Logic and Number Theory and their Connections', Thesis, Faculty of Science, Department of Mathematics, University of Manchester.",{"EN":888},"The first step of the construction of Nézondet's models of finite arithmetics which are counter-models to Erdös–Woods conjecture is to add to the natural numbers the non-standard numbers generated by one of them, using addition, multiplication and divisions by a natural factor allowed in an ultrapower construction. After a review of some properties of such a structure, we show that the choice of the ultrafilter can be managed, using just the Chinese remainder's theorem, so that a model as desired is obtained as early as at the first time.",{"EN":890},"Simplified Models Establishing some of Né:zondet's Results on Erdös–Woods 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