{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,6]],"date-time":"2024-02-06T05:40:29Z","timestamp":1707198029524},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,8,29]],"date-time":"2006-08-29T00:00:00Z","timestamp":1156809600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Synthese"],"published-print":{"date-parts":[[2007,10,6]]},"DOI":"10.1007\/s11229-006-9069-1","type":"journal-article","created":{"date-parts":[[2006,8,28]],"date-time":"2006-08-28T12:45:02Z","timestamp":1156769102000},"page":"83-98","source":"Crossref","is-referenced-by-count":2,"title":["Mathematical determinacy and the transferability of aboutness"],"prefix":"10.1007","volume":"159","author":[{"given":"Stephen","family":"Pollard","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,8,29]]},"reference":[{"key":"9069_CR1","first-page":"614","volume":"24","author":"M. Black","year":"1971","unstructured":"Black M. (1971). The elusiveness of sets. Review of Metaphysics 24:614\u2013636","journal-title":"Review of Metaphysics"},{"key":"9069_CR2","doi-asserted-by":"crossref","first-page":"430","DOI":"10.2307\/2026308","volume":"81","author":"G. Boolos","year":"1984","unstructured":"Boolos G. (1984). To be is to be a value of a variable (or to be some values of some variables). Journal of Philosophy 81:430\u2013449","journal-title":"Journal of Philosophy"},{"key":"9069_CR3","doi-asserted-by":"crossref","first-page":"327","DOI":"10.2307\/2185003","volume":"94","author":"G. Boolos","year":"1985","unstructured":"Boolos G. (1985). Nominalist platonism. Philosophical Review 94:327\u2013344","journal-title":"Philosophical Review"},{"key":"9069_CR4","doi-asserted-by":"crossref","first-page":"5","DOI":"10.5840\/philtopics19891721","volume":"17","author":"G. Boolos","year":"1989","unstructured":"Boolos G. (1989). Iteration again. Philosophical Topics 17:5\u201321","journal-title":"Philosophical Topics"},{"issue":"3","key":"9069_CR5","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1093\/philmat\/12.3.193","volume":"12","author":"J.P. Burgess","year":"2004","unstructured":"Burgess J.P. (2004). E Pluribus Unum: Plural logic and set theory. Philosophia Mathematica 12(3):193\u2013221","journal-title":"Philosophia Mathematica"},{"key":"9069_CR6","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/BF01306897","volume":"96","author":"H.M. Cartwright","year":"1993","unstructured":"Cartwright H.M. (1993). On plural reference and elementary set theory. Synthese 96:201\u2013254","journal-title":"Synthese"},{"key":"9069_CR7","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1090\/pspum\/013.1\/0277332","volume-title":"Axiomatic set theory","author":"P.J. Cohen","year":"1971","unstructured":"Cohen P.J. (1971). Comments on the foundations of set theory. In: Scott D.S. (eds) Axiomatic set theory. American Mathematical Society, Providence, R.I., pp. 9\u201315"},{"key":"9069_CR8","volume-title":"The higher arithmetic","author":"H. Davenport","year":"1983","unstructured":"Davenport H. (1983). The higher arithmetic. Dover Publications, New York"},{"key":"9069_CR9","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1080\/00029890.1999.12005017","volume":"106","author":"S. Feferman","year":"1999","unstructured":"Feferman S. (1999). Does mathematics need new axioms?. American Mathematical Monthly 106:99\u2013111","journal-title":"American Mathematical Monthly"},{"key":"9069_CR10","doi-asserted-by":"crossref","first-page":"401","DOI":"10.2307\/420965","volume":"6","author":"S. Feferman","year":"2000","unstructured":"Feferman S. (2000). Why the programs for new axioms need to be questioned. Bulletin of Symbolic Logic 6:401\u2013413","journal-title":"Bulletin of Symbolic Logic"},{"key":"9069_CR11","doi-asserted-by":"crossref","DOI":"10.1093\/0199242895.001.0001","volume-title":"Truth and the absence of fact","author":"H. Field","year":"2001","unstructured":"Field H. (2001). Truth and the absence of fact. Clarendon Press, Oxford"},{"key":"9069_CR12","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1093\/bjps\/34.2.119","volume":"34","author":"M. Giaquinto","year":"1983","unstructured":"Giaquinto M. (1983). Hilbert\u2019s philosophy of mathematics. British Journal for the Philosophy of Science 34:119\u2013132","journal-title":"British Journal for the Philosophy of Science"},{"issue":"3","key":"9069_CR13","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1093\/philmat\/nki021","volume":"13","author":"V. Halbach","year":"2005","unstructured":"Halbach V., Horsten L. (2005). Computational structuralism. Philosophia Mathematica 13(3):174\u2013186","journal-title":"Philosophia Mathematica"},{"issue":"3","key":"9069_CR14","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1093\/philmat\/10.3.257","volume":"10","author":"K. Hauser","year":"2002","unstructured":"Hauser K. (2002). Is Cantor\u2019s continuum problem inherently vague?. Philosophia Mathematica 10(3):257\u2013285","journal-title":"Philosophia Mathematica"},{"key":"9069_CR15","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1080\/00048409312345142","volume":"71","author":"A.P. Hazen","year":"1993","unstructured":"Hazen A.P. (1993). Against pluralism. Australasian Journal of Philosophy 71:132\u2013144","journal-title":"Australasian Journal of Philosophy"},{"issue":"3","key":"9069_CR16","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1093\/philmat\/2.3.228","volume":"2","author":"G. Hellman","year":"1994","unstructured":"Hellman G. (1994). Real analysis without classes. Philosophia Mathematica 2(3):228\u2013250","journal-title":"Philosophia Mathematica"},{"issue":"3","key":"9069_CR17","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1093\/philmat\/4.2.100","volume":"4","author":"G. Hellman","year":"1996","unstructured":"Hellman G. (1996). Structuralism without structures. Philosophia Mathematica 4(3):100\u2013123","journal-title":"Philosophia Mathematica"},{"issue":"3","key":"9069_CR18","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1093\/philmat\/11.2.129","volume":"11","author":"G. Hellman","year":"2003","unstructured":"Hellman G. (2003). Does category theory provide a framework for mathematical structuralism?. Philosophia Mathematica 11(3):129\u2013157","journal-title":"Philosophia Mathematica"},{"key":"9069_CR19","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1093\/0195148770.003.0026","volume-title":"The Oxford handbook of philosophy of mathematics and logic","author":"I. Jan\u00e9","year":"2005","unstructured":"Jan\u00e9 I. (2005). Higher-order logic reconsidered. In: Shapiro S. (eds) The Oxford handbook of philosophy of mathematics and logic. Oxford University Press, New York, pp. 781\u2013810"},{"key":"9069_CR20","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1111\/j.1746-8361.1969.tb01184.x","volume":"23","author":"G. Kreisel","year":"1969","unstructured":"Kreisel G. (1969). Two notes on the foundations of set-theory. Dialectica 23:93\u2013114","journal-title":"Dialectica"},{"key":"9069_CR21","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1090\/pspum\/013.1\/0294123","volume-title":"Axiomatic set theory","author":"G. Kreisel","year":"1971","unstructured":"Kreisel G. (1971). Observations on popular discussions of foundations. In: Scott D.S. (eds) Axiomatic set theory. American Mathematical Society, Providence, R.I., pp. 189\u2013198"},{"key":"9069_CR22","volume-title":"Understanding the infinite","author":"S. Lavine","year":"1994","unstructured":"Lavine S. (1994). Understanding the infinite. Harvard University Press, Cambridge, Mass"},{"key":"9069_CR23","volume-title":"Parts of classes","author":"D. Lewis","year":"1991","unstructured":"Lewis D. (1991). Parts of classes. Basil Blackwell, Oxford"},{"issue":"3","key":"9069_CR24","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1093\/philmat\/1.1.3","volume":"1","author":"D. Lewis","year":"1993","unstructured":"Lewis D. (1993) Mathematics is megethology. Philosophia Mathematica 1(3):3\u201323","journal-title":"Philosophia Mathematica"},{"key":"9069_CR25","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1111\/1468-0068.00429","volume":"37","author":"O. Linnebo","year":"2003","unstructured":"Linnebo O. (2003). Plural quantification exposed. No\u00fbs 37:71\u201392","journal-title":"No\u00fbs"},{"key":"9069_CR26","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1010600724850","volume":"20","author":"D.A. Martin","year":"2001","unstructured":"Martin D.A. (2001). Multiple universes of sets and indeterminate truth values. Topoi 20:5\u201316","journal-title":"Topoi"},{"key":"9069_CR27","doi-asserted-by":"crossref","first-page":"35","DOI":"10.2307\/2998341","volume":"106","author":"V. McGee","year":"1997","unstructured":"McGee V. (1997). How we learn mathematical language. Philosophical Review 106:35\u201368","journal-title":"Philosophical Review"},{"issue":"3","key":"9069_CR28","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1093\/philmat\/9.1.5","volume":"9","author":"V. McGee","year":"2001","unstructured":"McGee V. (2001). Truth by default. Philosophia Mathematica 9(3):5\u201320","journal-title":"Philosophia Mathematica"},{"key":"9069_CR29","first-page":"13","volume":"39","author":"C. Parsons","year":"1990","unstructured":"Parsons C. (1990). The uniqueness of the natural numbers. Iyyun 39:13\u201344","journal-title":"Iyyun"},{"key":"9069_CR30","unstructured":"Parsons, C. (2001). Communication and the uniqueness of the natural numbers. In Proceedings of the First Seminar in the Philosophy of Mathematics in Iran. Shahid Beheshti University, Tehran"},{"key":"9069_CR31","doi-asserted-by":"crossref","first-page":"579","DOI":"10.5840\/pra19851134","volume":"11","author":"S. Pollard","year":"1986","unstructured":"Pollard S. (1986). Plural quantification and the iterative concept of set. Philosophy Research Archives 11:579\u2013587","journal-title":"Philosophy Research Archives"},{"key":"9069_CR32","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1007\/BF00646278","volume":"54","author":"S. Pollard","year":"1988a","unstructured":"Pollard S. (1988a). Plural quantification and the axiom of choice. Philosophical Studies 54:393\u2013397","journal-title":"Philosophical Studies"},{"key":"9069_CR33","first-page":"85","volume":"31","author":"S. Pollard","year":"1988","unstructured":"Pollard S. (1988b). More axioms for the set-theoretic hierarchy. Logique et Analyse 31:85\u201388","journal-title":"Logique et Analyse"},{"key":"9069_CR34","volume-title":"Philosophical introduction to set theory","author":"S. Pollard","year":"1990","unstructured":"Pollard S. (1990). Philosophical introduction to set theory. University of Notre Dame Press, Notre Dame, London"},{"key":"9069_CR35","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1007\/BF00646410","volume":"66","author":"S. Pollard","year":"1992","unstructured":"Pollard S. (1992). Choice again. Philosophical Studies 66:285\u2013296","journal-title":"Philosophical Studies"},{"issue":"3","key":"9069_CR36","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1093\/philmat\/4.1.42","volume":"4","author":"S. Pollard","year":"1996","unstructured":"Pollard S. (1996). Sets, wholes, and limited pluralities. Philosophia Mathematica 4(3):42\u201358","journal-title":"Philosophia Mathematica"},{"issue":"3","key":"9069_CR37","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1093\/philmat\/5.1.65","volume":"5","author":"S. Pollard","year":"1997","unstructured":"Pollard S. (1997). Who needs mereology?. Philosophia Mathematica 5(3):65\u201370","journal-title":"Philosophia Mathematica"},{"key":"9069_CR38","doi-asserted-by":"crossref","first-page":"75","DOI":"10.2307\/2026993","volume":"85","author":"M.D. Resnik","year":"1988","unstructured":"Resnik M.D. (1988). Second-order logic still wild. Journal of Philosophy 85:75\u201387","journal-title":"Journal of Philosophy"},{"key":"9069_CR39","first-page":"228","volume-title":"Logic, methodology and philosophy of science","author":"A. Robinson","year":"1965","unstructured":"Robinson A. (1965). Formalism 64. In: Bar-Hillel Y. (eds) Logic, methodology and philosophy of science. North-Holland, Amsterdam, pp. 228\u2013246"},{"key":"9069_CR40","volume-title":"Foundations without foundationalism","author":"S. Shapiro","year":"1991","unstructured":"Shapiro S. (1991). Foundations without foundationalism. Clarendon Press, Oxford"},{"key":"9069_CR41","doi-asserted-by":"crossref","first-page":"160","DOI":"10.2307\/j.ctv2x8v896.7","volume-title":"Parts and moments: Studies in logic and formal ontology","author":"P. Simons","year":"1982","unstructured":"Simons P. (1982). Numbers and manifolds and plural reference and set theory. In: Smith B. (eds) Parts and moments: Studies in logic and formal ontology. Philosophia Verlag, Munich, pp. 160\u2013260"},{"key":"9069_CR42","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF00660894","volume":"27","author":"E. Stenius","year":"1974","unstructured":"Stenius E. (1974). Sets. Synthese 27:161\u2013188","journal-title":"Synthese"},{"issue":"3","key":"9069_CR43","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1093\/philmat\/11.1.67","volume":"11","author":"G. Uzquiano","year":"2003","unstructured":"Uzquiano G. (2003). Plural quantification and classes. Philosophia Mathematica 11(3):67\u201381","journal-title":"Philosophia Mathematica"},{"key":"9069_CR44","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1007\/BF00248732","volume":"5","author":"T. Weston","year":"1976","unstructured":"Weston T. (1976). Kreisel, the continuum hypothesis and second order set theory. Journal of Philosophical Logic 5:281\u2013298","journal-title":"Journal of Philosophical Logic"},{"key":"9069_CR45","unstructured":"Woodin, W. H. (2001). The continuum hypothesis. Notices of the American Mathematical Society 48, 567\u2013576 & 681\u2013690."}],"container-title":["Synthese"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11229-006-9069-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11229-006-9069-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11229-006-9069-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,6]],"date-time":"2024-02-06T05:18:52Z","timestamp":1707196732000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11229-006-9069-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8,29]]},"references-count":45,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,10,6]]}},"alternative-id":["9069"],"URL":"https:\/\/doi.org\/10.1007\/s11229-006-9069-1","relation":{},"ISSN":["0039-7857","1573-0964"],"issn-type":[{"value":"0039-7857","type":"print"},{"value":"1573-0964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,8,29]]}}}