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Mark Hogarth

Biographic Data

ID3943574
NAMEMark Hogarth
GIVEN NAMESMark
FAMILY NAMEHogarth
SIGNATUREHOGARTH M
AFFILIATIONSUniversity of Cambridge
VERIFIEDNo
TOTAL WORKS4
TOTAL CITATIONS17
AUTHOR COUNT4
EDITOR COUNT0
FIRST PUBLICATION YEAR1993
LATEST PUBLICATION YEAR2004
H-INDEX2
  • Deciding Arithmetic Using SAD Computers

    Mark Hogarth•ARTICLE•The British Journal for the…•2004•Cited by: 5•References: 4

    Presented here is a new result concerning the computational power of so-called SADn computers, a class of Turing-machine-based computers that can perform some non-Turing computable feats by utilising the geometry of a particular kind of general relativistic spacetime. It is shown that SADn can decide n-quantifier arithmetic but not (n+1)-quantifier arithmetic, a result that reveals how neatly the SADn family maps into the Kleene arithmetical hier…

  • A remark concerning prediction and spacetime singularities

    Open Access•Mark Hogarth•ARTICLE•Studies in History and Philosophy…•1997

  • The definability of objective becoming in Minkowski spacetime

    Open Access•Rob Clifton, Mark Hogarth•ARTICLE•Synthese•1995•Cited by: 11•References: 11

  • Predicting the future in relativistic spacetimes

    Open Access•Mark Hogarth•ARTICLE•Studies in History and Philosophy…•1993•Cited by: 1•References: 3

  • The definability of objective becoming in Minkowski spacetime

    Open Access•Rob Clifton, Mark Hogarth•ARTICLE•Synthese•1995•Cited by: 11•References: 11

  • Deciding Arithmetic Using SAD Computers

    Mark Hogarth•ARTICLE•The British Journal for the…•2004•Cited by: 5•References: 4

    Presented here is a new result concerning the computational power of so-called SADn computers, a class of Turing-machine-based computers that can perform some non-Turing computable feats by utilising the geometry of a particular kind of general relativistic spacetime. It is shown that SADn can decide n-quantifier arithmetic but not (n+1)-quantifier arithmetic, a result that reveals how neatly the SADn family maps into the Kleene arithmetical hier…

  • Predicting the future in relativistic spacetimes

    Open Access•Mark Hogarth•ARTICLE•Studies in History and Philosophy…•1993•Cited by: 1•References: 3

  • Predicting the future in relativistic spacetimes

    Open Access•Mark Hogarth•ARTICLE•Studies in History and Philosophy…•1993•Cited by: 1•References: 3

  • The definability of objective becoming in Minkowski spacetime

    Open Access•Rob Clifton, Mark Hogarth•ARTICLE•Synthese•1995•Cited by: 11•References: 11

  • A remark concerning prediction and spacetime singularities

    Open Access•Mark Hogarth•ARTICLE•Studies in History and Philosophy…•1997

  • Deciding Arithmetic Using SAD Computers

    Mark Hogarth•ARTICLE•The British Journal for the…•2004•Cited by: 5•References: 4

    Presented here is a new result concerning the computational power of so-called SADn computers, a class of Turing-machine-based computers that can perform some non-Turing computable feats by utilising the geometry of a particular kind of general relativistic spacetime. It is shown that SADn can decide n-quantifier arithmetic but not (n+1)-quantifier arithmetic, a result that reveals how neatly the SADn family maps into the Kleene arithmetical hier…

Mathematics (4 works) · Computer Science (3 works) · Physics (3 works) · Theoretical physics (3 works) · Arithmetic (2 works) · Cosmology and Gravitation Theories (2 works) · Epistemology (2 works) · Philosophy (2 works) · Pure mathematics (2 works) · Quantum mechanics (2 works)

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