000 | 03777cam a2200673Ii 4500 | ||
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001 | on1102775620 | ||
003 | OCoLC | ||
005 | 20241121072755.0 | ||
008 | 190531s2019 enk ob 001 0 eng d | ||
040 |
_aYDXIT _beng _erda _cYDXIT _dYDXIT _dN$T _dYDX _dCAMBR _dCOO _dOCLCF _dCNO |
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020 |
_a9781139600293 _qelectronic book |
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020 |
_a113960029X _qelectronic book |
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020 |
_a9781108601771 _q(electronic bk.) |
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020 |
_a1108601774 _q(electronic bk.) |
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020 | _z9781107039414 | ||
020 | _z110703941X | ||
035 |
_a2144055 _b(N$T) |
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035 | _a(OCoLC)1102775620 | ||
050 | 0 | 4 |
_aQA8.4 _b.H67 2019eb |
072 | 7 |
_aMAT _x039000 _2bisacsh |
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072 | 7 |
_aMAT _x023000 _2bisacsh |
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072 | 7 |
_aMAT _x026000 _2bisacsh |
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082 | 0 | 4 |
_a510.1 _223 |
049 | _aMAIN | ||
100 | 1 |
_aHorsten, Leon, _eauthor. _912061 |
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245 | 1 | 4 |
_aThe metaphysics and mathematics of arbitrary objects / _cLeon Horsten, University of Bristol. |
264 | 1 |
_aCambridge ; _aNew York, NY : _bCambridge University Press, _c2019. |
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300 |
_a1 online resource (xvii, 231 pages) : _billustrations |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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504 | _aIncludes bibliographical references and index. | ||
588 | _aDescription based on online resource; title from digital title page (viewed on May 31, 2019). | ||
520 | _aBuilding on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day. | ||
590 | _aMaster record variable field(s) change: 050, 650 | ||
650 | 0 |
_aLogic, Symbolic and mathematical. _911428 |
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650 | 0 |
_aMathematics _xPhilosophy. _912062 |
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650 | 0 |
_aMathematical recreations. _912063 |
|
650 | 0 |
_aMetaphysics. _912064 |
|
650 | 0 |
_aRandom variables. _912065 |
|
650 | 0 |
_aVariables (Mathematics) _912066 |
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650 | 0 |
_aAbstraction. _912067 |
|
650 | 0 |
_aProbabilities _xPhilosophy. _912068 |
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650 | 7 |
_aMATHEMATICS / Essays _2bisacsh _912069 |
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650 | 7 |
_aMATHEMATICS / Pre-Calculus _2bisacsh _912070 |
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650 | 7 |
_aMATHEMATICS / Reference _2bisacsh _912071 |
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650 | 7 |
_aAbstraction. _2fast _0(OCoLC)fst00794769 _912067 |
|
650 | 7 |
_aMathematical recreations. _2fast _0(OCoLC)fst01012120 _912063 |
|
650 | 7 |
_aMathematics _xPhilosophy. _2fast _0(OCoLC)fst01012213 _912062 |
|
650 | 7 |
_aMetaphysics. _2fast _0(OCoLC)fst01018304 _912064 |
|
650 | 7 |
_aProbabilities _xPhilosophy. _2fast _0(OCoLC)fst01077746 _912068 |
|
650 | 7 |
_aRandom variables. _2fast _0(OCoLC)fst01089812 _912065 |
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650 | 7 |
_aVariables (Mathematics) _2fast _0(OCoLC)fst01164184 _912066 |
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655 | 4 |
_aElectronic books. _93907 |
|
856 | 4 | 0 |
_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2144055 |
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