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Higher-Order Logical Pluralism as Metaphysics- [electronic resource]
Higher-Order Logical Pluralism as Metaphysics - [electronic resource]
Higher-Order Logical Pluralism as Metaphysics- [electronic resource]

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자료유형  
 학위논문파일 국외
최종처리일시  
20240214101919
ISBN  
9798380594790
DDC  
110
저자명  
McCarthy, Willaim Kevin.
서명/저자  
Higher-Order Logical Pluralism as Metaphysics - [electronic resource]
발행사항  
[S.l.]: : Columbia University., 2023
발행사항  
Ann Arbor : : ProQuest Dissertations & Theses,, 2023
형태사항  
1 online resource(154 p.)
주기사항  
Source: Dissertations Abstracts International, Volume: 85-04, Section: A.
주기사항  
Advisor: Clarke-Doane, Justin.
학위논문주기  
Thesis (Ph.D.)--Columbia University, 2023.
사용제한주기  
This item must not be sold to any third party vendors.
초록/해제  
요약Higher-order metaphysics is in full swing. One of its principle aims is to show that higher-order logic can be our foundational metaphysical theory. A foundational metaphysical theory would be a simple, powerful, systematic theory which would ground all of our metaphysical theories from modality, to grounding, to essence, and so on. A satisfactory account of its epistemology would in turn yield a satisfactory epistemology of these theories. And it would function as the final court of appeals for metaphysical questions. It would play the role for our metaphysical community that ZFC plays for the mathematical community.I think there is much promise in this project. There is clear value in having a shared foundational theory to which metaphysicians can appeal. And there is reason to think that higher-order logic can play this role. After all, it has long been known that one can do math in higher-order logic. And there is growing reason to think that one can do metaphysics in higher-order logic in much the same way. However, most of the research approaches higher-order logic from a monist perspective, according to which there is 'one true' higher-order logic. And in the midst of the enthusiasm, metaphysicians seem to have overlooked that this approach leaves the program susceptible to epistemological problems that plague monism about other areas, like set theory. The most significant of these is the Benacerraf Problem. This is the problem of explaining the reliability of our higher-order-logical beliefs. The problem is sufficiently serious that, in the set-theoretic case, it has led to a reconception of the foundations of mathematics, known as pluralism.In this dissertation I investigate a pluralist approach to higher-order metaphysics. The basic idea is that any higher-order logic which can play the role of our foundational metaphysical theory correctly describes the metaphysical structure of the world, in much the way that the set-theoretic pluralist maintains that any set theory which can play the role of our foundational mathematical theory is true of a mind-independent platonic universe of sets. I outline my view about what it takes for a higher-order logic to play this role, what it means for such a logic to correctly describe the metaphysical structure of the world, and how it is that different higher-order logics which seem to disagree with each other can meet both of these conditions. I conclude that higher-order logical pluralism is the most tenable version of the higher-order logic as metaphysics program.Higher-order logical pluralism constitutes a radical departure from conventional wisdom, requiring a significant reconception of the nature of validity, modality, and metaphysics in general. It renders moot some of the most central questions in these domains, such as: Is the law of excluded middle valid? Is it the case that necessarily everything is necessarily something? Is the grounding relation transitive? On this picture, these questions no longer have objective answers. They become like the question of whether the Continuum Hypothesis is true, according to the set-theoretic pluralist. The only significant question in the neighborhood of the aforementioned questions is: which metaphysical principles are best suited to the task at hand?
일반주제명  
Metaphysics.
일반주제명  
Logic.
일반주제명  
Philosophy.
일반주제명  
Epistemology.
키워드  
Benacerraf problem
키워드  
Higher-order logic
키워드  
Higher-order metaphysics
키워드  
Pluralism
기타저자  
Columbia University Philosophy
기본자료저록  
Dissertations Abstracts International. 85-04A.
기본자료저록  
Dissertation Abstract International
전자적 위치 및 접속  
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■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a110
■1001  ▼aMcCarthy,  Willaim  Kevin.
■24510▼aHigher-Order  Logical  Pluralism  as  Metaphysics▼h[electronic  resource]
■260    ▼a[S.l.]:▼bColumbia  University.  ▼c2023
■260  1▼aAnn  Arbor  :▼bProQuest  Dissertations  &  Theses,  ▼c2023
■300    ▼a1  online  resource(154  p.)
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-04,  Section:  A.
■500    ▼aAdvisor:  Clarke-Doane,  Justin.
■5021  ▼aThesis  (Ph.D.)--Columbia  University,  2023.
■506    ▼aThis  item  must  not  be  sold  to  any  third  party  vendors.
■520    ▼aHigher-order  metaphysics  is  in  full  swing.  One  of  its  principle  aims  is  to  show  that  higher-order  logic  can  be  our  foundational  metaphysical  theory.  A  foundational  metaphysical  theory  would  be  a  simple,  powerful,  systematic  theory  which  would  ground  all  of  our  metaphysical  theories  from  modality,  to  grounding,  to  essence,  and  so  on.  A  satisfactory  account  of  its  epistemology  would  in  turn  yield  a  satisfactory  epistemology  of  these  theories.  And  it  would  function  as  the  final  court  of  appeals  for  metaphysical  questions.  It  would  play  the  role  for  our  metaphysical  community  that  ZFC  plays  for  the  mathematical  community.I  think  there  is  much  promise  in  this  project.  There  is  clear  value  in  having  a  shared  foundational  theory  to  which  metaphysicians  can  appeal.  And  there  is  reason  to  think  that  higher-order  logic  can  play  this  role.  After  all,  it  has  long  been  known  that  one  can  do  math  in  higher-order  logic.  And  there  is  growing  reason  to  think  that  one  can  do  metaphysics  in  higher-order  logic  in  much  the  same  way.  However,  most  of  the  research  approaches  higher-order  logic  from  a  monist  perspective,  according  to  which  there  is  'one  true'  higher-order  logic.  And  in  the  midst  of  the  enthusiasm,  metaphysicians  seem  to  have  overlooked  that  this  approach  leaves  the  program  susceptible  to  epistemological  problems  that  plague  monism  about  other  areas,  like  set  theory.  The  most  significant  of  these  is  the  Benacerraf  Problem.  This  is  the  problem  of  explaining  the  reliability  of  our  higher-order-logical  beliefs.  The  problem  is  sufficiently  serious  that,  in  the  set-theoretic  case,  it  has  led  to  a  reconception  of  the  foundations  of  mathematics,  known  as  pluralism.In  this  dissertation  I  investigate  a  pluralist  approach  to  higher-order  metaphysics.  The  basic  idea  is  that  any  higher-order  logic  which  can  play  the  role  of  our  foundational  metaphysical  theory  correctly  describes  the  metaphysical  structure  of  the  world,  in  much  the  way  that  the  set-theoretic  pluralist  maintains  that  any  set  theory  which  can  play  the  role  of  our  foundational  mathematical  theory  is  true  of  a  mind-independent  platonic  universe  of  sets.  I  outline  my  view  about  what  it  takes  for  a  higher-order  logic  to  play  this  role,  what  it  means  for  such  a  logic  to  correctly  describe  the  metaphysical  structure  of  the  world,  and  how  it  is  that  different  higher-order  logics  which  seem  to  disagree  with  each  other  can  meet  both  of  these  conditions.  I  conclude  that  higher-order  logical  pluralism  is  the  most  tenable  version  of  the  higher-order  logic  as  metaphysics  program.Higher-order  logical  pluralism  constitutes  a  radical  departure  from  conventional  wisdom,  requiring  a  significant  reconception  of  the  nature  of  validity,  modality,  and  metaphysics  in  general.  It  renders  moot  some  of  the  most  central  questions  in  these  domains,  such  as:  Is  the  law  of  excluded  middle  valid?  Is  it  the  case  that  necessarily  everything  is  necessarily  something?  Is  the  grounding  relation  transitive?  On  this  picture,  these  questions  no  longer  have  objective  answers.  They  become  like  the  question  of  whether  the  Continuum  Hypothesis  is  true,  according  to  the  set-theoretic  pluralist.  The  only  significant  question  in  the  neighborhood  of  the  aforementioned  questions  is:  which  metaphysical  principles  are  best  suited  to  the  task  at  hand?
■590    ▼aSchool  code:  0054.
■650  4▼aMetaphysics.
■650  4▼aLogic.
■650  4▼aPhilosophy.
■650  4▼aEpistemology.
■653    ▼aBenacerraf  problem
■653    ▼aHigher-order  logic
■653    ▼aHigher-order  metaphysics
■653    ▼aPluralism
■690    ▼a0396
■690    ▼a0395
■690    ▼a0422
■690    ▼a0393
■71020▼aColumbia  University▼bPhilosophy.
■7730  ▼tDissertations  Abstracts  International▼g85-04A.
■773    ▼tDissertation  Abstract  International
■790    ▼a0054
■791    ▼aPh.D.
■792    ▼a2023
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16935332▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.
■980    ▼a202402▼f2024

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