<!DOCTYPE html><HTML lang="en"> <head><meta charset="utf-8"> <title>Hudson (Hud) - The Metaphysics of Hyperspace: Introduction (Theo Todman's Book Collection - Paper Abstracts) </title> <link href="../../TheosStyle.css" rel="stylesheet" type="text/css"><link rel="shortcut icon" href="../../TT_ICO.png" /></head> <BODY> <CENTER> <div id="header"><HR><h1>Theo Todman's Web Page - Paper Abstracts</h1><HR></div><A name="Top"></A> <TABLE class = "Bridge" WIDTH=950> <tr><th><A HREF = "../../PaperSummaries/PaperSummary_19/PaperSummary_19047.htm">The Metaphysics of Hyperspace: Introduction</A></th></tr> <tr><th><A HREF = "../../Authors/H/Author_Hudson (Hud).htm">Hudson (Hud)</a></th></tr> <tr><th>Source: Hudson (Hud) - The Metaphysics of Hyperspace, Introduction</th></tr> <tr><th>Paper - Abstract</th></tr> </TABLE> </CENTER> <P><CENTER><TABLE class = "Bridge" WIDTH=400><tr><td><A HREF = "../../PaperSummaries/PaperSummary_19/PaperSummary_19047.htm">Paper Summary</A></td><td><A HREF="#ColourConventions">Text Colour-Conventions</a></td></tr></TABLE></CENTER></P> <hr><P><FONT COLOR = "0000FF"><U>Contents</U><FONT COLOR = "800080"><ol type="1"><li>On classical logic and neighboring matters </li><li>On material objects </li><li>On substantivalism </li><li>On relations to regions </li><li>On composition and decomposition </li><li>On simples and gunk </li><li>On persistence and change </li><li>On eternalism </li><li>On <a name="1"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modality</A><SUP>1</SUP> and recombination </li><li>On vagueness </li><li>On bruteness </li><li>On intuitions </li><li>On theism </li><li>On hyperspace and topology </li></ol></FONT><BR><U>Notes</U><ol type="1"><li><B>On classical logic and neighboring matters</B> <ul type="disc"><li>Hudson <U>doesn t</U> endorse deviations from classical logic:- <ul type="square"><li><B>Vague Identity</B>: Van Inwagen (in <a name="6"></a>"<A HREF = "../../BookSummaries/BookSummary_00/BookPaperAbstracts/BookPaperAbstracts_49.htm">Van Inwagen (Peter) - Material Beings</A>") countenances this.</li><li><B>Existential Generalisation</B>: Lewis denies <U><A HREF="#On-Page_Link_P19047_2">this</A></U><SUB>2</SUB><a name="On-Page_Return_P19047_2"></A> (in <a name="7"></a>"<A HREF = "../../BookSummaries/BookSummary_00/BookPaperAbstracts/BookPaperAbstracts_637.htm">Lewis (David) - On the Plurality of Worlds</A>"). </li><li><B>Law of Non-Contradiction</B>: denied by Graham <U><A HREF="#On-Page_Link_P19047_3">Priest</A></U><SUB>3</SUB><a name="On-Page_Return_P19047_3"></A> (<I>Beyond the Limits of Thought</I>, CUP, 1995). </li></ul></li><li>Hudson <U>understands</U> <B>Relative Identity</B> claims ( x is the same F as y ; <a name="3"></a><A HREF="../../Notes/Notes_0/Notes_96.htm">Click here for Note</A>), but also insists on <U><A HREF="#On-Page_Link_P19047_4">x=y</A></U><SUB>4</SUB><a name="On-Page_Return_P19047_4"></A>. He references Van Inwagen s <U><A HREF="#On-Page_Link_P19047_5">1995</A></U><SUB>5</SUB><a name="On-Page_Return_P19047_5"></A>  And Yet There are not Three Gods but One God . </li><li><B>Set membership</B> is never a matter of degree. He again <U><A HREF="#On-Page_Link_P19047_6">references</A></U><SUB>6</SUB><a name="On-Page_Return_P19047_6"></A> <a name="8"></a>"<A HREF = "../../BookSummaries/BookSummary_00/BookPaperAbstracts/BookPaperAbstracts_49.htm">Van Inwagen (Peter) - Material Beings</A>". </li><li>There is no ambiguity in the <B>Universal</B> and <B>Existential Quantifiers</B>. The Introduction to <a name="4"></a>"<A HREF = "../../Abstracts/Abstract_04/Abstract_4976.htm">Sider (Ted) - Four-Dimensionalism: Introduction</A>" <U><A HREF="#On-Page_Link_P19047_7">discusses</A></U><SUB>7</SUB><a name="On-Page_Return_P19047_7"></A>. </li></ul></li><li><B>On material objects</B> <ul type="disc"><li>Hudson accepts <B>Realism</B> concerning many types of abstract and concrete objects. He notes that <a name="9"></a>"<A HREF = "../../BookSummaries/BookSummary_00/BookPaperAbstracts/BookPaperAbstracts_637.htm">Lewis (David) - On the Plurality of Worlds</A>", Section 1.7  Concreteness shows the difficulty of distinguishing the two. </li><li><B>Abstracta</B>: Hudson is a <U><A HREF="#On-Page_Link_P19047_8">realist</A></U><SUB>8</SUB><a name="On-Page_Return_P19047_8"></A> about numbers, functions, sets, classes, propositions, properties, relations and states of affairs. </li><li><B>Concreta</B>: Hudson is a realist about spacetime, material <U><A HREF="#On-Page_Link_P19047_9">substances</A></U><SUB>9</SUB><a name="On-Page_Return_P19047_9"></A>, events, holes, and at least one immaterial <U><A HREF="#On-Page_Link_P19047_10">substance</A></U><SUB>10</SUB><a name="On-Page_Return_P19047_10"></A>.</li><li>Hudson adopts the <B>Occupancy Account</B> of material objects. It is <U>analytic</U> that a material object is  an object each of whose parts occupies a region of <U><A HREF="#On-Page_Link_P19047_11">spacetime</A></U><SUB>11</SUB><a name="On-Page_Return_P19047_11"></A> .</li><li>Hudson rejects Descartes s  extension account of material objects as it would imply that point-objects aren t material. </li></ul></li><li><B>On substantivalism</B> <ul type="disc"><li></li></ul></li><li><B>On relations to regions</B> <ul type="disc"><li></li></ul></li><li><B>On composition and decomposition</B> <ul type="disc"><li></li></ul></li><li><B>On simples and gunk</B> <ul type="disc"><li></li></ul></li><li><B>On persistence and change</B> <ul type="disc"><li></li></ul></li><li><B>On eternalism</B> <ul type="disc"><li></li></ul></li><li><B>On <a name="2"></a><A HREF="../../Notes/Notes_1/Notes_121.htm">modality</A><SUP>12</SUP> and recombination</B> <ul type="disc"><li></li></ul></li><li><B>On vagueness</B> <ul type="disc"><li></li></ul></li><li><B>On bruteness</B> <ul type="disc"><li></li></ul></li><li><B>On intuitions</B> <ul type="disc"><li></li></ul></li><li><B>On theism</B> <ul type="disc"><li></li></ul></li><li><B>On hyperspace and topology</B><ul type="disc"><li></li></ul></li></ol><BR><HR><BR><U><B>In-Page Footnotes</U></B><a name="On-Page_Link_P19047_2"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_2"><B>Footnote 2</B></A></U>: What is this, and what s Lewis s problem? <a name="On-Page_Link_P19047_3"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_3"><B>Footnote 3</B></A></U>: I don t have much by him (<a name="5"></a><A HREF = "../../Authors/P/Author_Priest (Graham).htm">Graham Priest</A>), but <a name="10"></a>"<A HREF = "../../BookSummaries/BookSummary_01/BookPaperAbstracts/BookPaperAbstracts_1306.htm">Jackson (Frank) & Priest (Graham), Eds. - Lewisian Themes: The Philosophy of David K. Lewis</A>" was on my list to read when proposing to treat of David Lewis for my MPhil (though GP is only the editor).<a name="On-Page_Link_P19047_4"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_4"><B>Footnote 4</B></A></U>: So, does he allow Relative Identity?<a name="On-Page_Link_P19047_5"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_5"><B>Footnote 5</B></A></U>: So, presumably, VI invokes relative identity to address this Trinitarian statement from the Athanasian Creed.<a name="On-Page_Link_P19047_6"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_6"><B>Footnote 6</B></A></U>: What s Van Inwagen s angle here? Examples?<a name="On-Page_Link_P19047_7"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_7"><B>Footnote 7</B></A></U>: Why is a discussion necessary?<a name="On-Page_Link_P19047_8"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_8"><B>Footnote 8</B></A></U>: Do I agree? What does realism with respect to abstracta imply?<a name="On-Page_Link_P19047_9"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_9"><B>Footnote 9</B></A></U>: I had thought there was a conflict between 4-dimensionalism and substances. Maybe he just means  matter ? <a name="On-Page_Link_P19047_10"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_10"><B>Footnote 10</B></A></U>: God?<a name="On-Page_Link_P19047_11"></A><BR><BR><U><A HREF="#On-Page_Return_P19047_11"><B>Footnote 11</B></A></U>: Note  time  so material objects are temporally extended. <BR><BR><FONT COLOR = "0000FF"><HR></P><a name="ColourConventions"></a><p><b>Text Colour Conventions (see <A HREF="../../Notes/Notes_10/Notes_1025.htm">disclaimer</a>)</b></p><OL TYPE="1"><LI><FONT COLOR = "0000FF">Blue</FONT>: Text by me; &copy; Theo Todman, 2018</li><LI><FONT COLOR = "800080">Mauve</FONT>: Text by correspondent(s) or other author(s); &copy; the author(s)</li></OL> <BR><HR><BR><CENTER> <TABLE class = "Bridge" WIDTH=950> <TR><TD WIDTH="30%">&copy; Theo Todman, June 2007 - August 2018.</TD> <TD WIDTH="40%">Please address any comments on this page to <A HREF="mailto:theo@theotodman.com">theo@theotodman.com</A>.</TD> <TD WIDTH="30%">File output: <time datetime="2018-08-03T00:10" pubdate>03/08/2018 00:10:33</time> <br><A HREF="../../Notes/Notes_10/Notes_1010.htm">Website Maintenance Dashboard</A></TD></TR> <TD WIDTH="30%"><A HREF="#Top">Return to Top of this Page</A></TD> <TD WIDTH="40%"><A HREF="../../Notes/Notes_11/Notes_1140.htm">Return to Theo Todman's Philosophy Page</A></TD> <TD WIDTH="30%"><A HREF="../../index.htm">Return to Theo Todman's Home Page</A></TD> </TR></TABLE></CENTER><HR> </BODY> </HTML>