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This monograph is a detailed study, and systematic defence, of the
Growing Block Theory of time (GBT), first conceived by C.D. Broad.
The book offers a coherent, logically perspicuous and ideologically
lean formulation of GBT, defends it against the most notorious
objections to be found in the extant philosophical literature, and
shows how it can be derived from a more general theory, consistent
with relativistic spacetime, on the pre-relativistic assumption of
an absolute and total temporal order. The authors devise
axiomatizations of GBT and its competitors which, against the
backdrop of a shared quantified tense logic, significantly improves
the prospects of their comparative assessment. Importantly, neither
of these axiomatizations involves commitment to properties of
presentness, pastness or futurity. The authors proceed to address,
and defuse, a number of objections that have been marshaled against
GBT, including the so-called epistemic objection according to which
the theory invites skepticism about our temporal location. The
challenge posed by relativistic physics is met head-on, by
replacing claims about temporal variation by claims about variation
across spacetime. The book aims to achieve the greatest possible
rigor. The background logic is set out in detail, as are the
principles governing the notions of precedence and temporal
location. The authors likewise devise a novel spacetime logic
suited for the articulation, and comparative assessment, of
relativistic theories of time. The book comes with three technical
appendices which include soundness and completeness proofs for the
systems corresponding to GBT and its competitors, in both their
pre-relativistic and relativistic forms. The book is primarily
directed at researchers and graduate students working on the
philosophy of time or temporal logic, but is of interest to
metaphysicians and philosophical logicians more generally.
Justification as Ignorance offers an original account of epistemic
justification as both non-factive and luminous, vindicating core
internalist intuitions without construing justification as an
internal condition knowable by reflection alone. Sven Rosenkranz
conceives of justification, in its doxastic and propositional
varieties, as a kind of epistemic possibility of knowing and of
being in a position to know. His account contrasts with recent
alternative views that characterize justification in terms of the
metaphysical possibility of knowing. Instead, he develops a
suitable non-normal multi-modal epistemic logic for knowledge and
being in a position to know that respects the finding that these
notions create hyperintensional contexts. He also defends his
conception of justification against well-known anti-luminosity
arguments, shows that the account allows for fruitful applications
and principled solutions to the lottery and preface paradoxes, and
provides a metaphysics of justification and its varying degrees of
strength that is compatible with core assumptions of the
knowledge-first approach and disjunctivist conceptions of mental
states.
This monograph is a detailed study, and systematic defence, of the
Growing Block Theory of time (GBT), first conceived by C.D. Broad.
The book offers a coherent, logically perspicuous and ideologically
lean formulation of GBT, defends it against the most notorious
objections to be found in the extant philosophical literature, and
shows how it can be derived from a more general theory, consistent
with relativistic spacetime, on the pre-relativistic assumption of
an absolute and total temporal order. The authors devise
axiomatizations of GBT and its competitors which, against the
backdrop of a shared quantified tense logic, significantly improves
the prospects of their comparative assessment. Importantly, neither
of these axiomatizations involves commitment to properties of
presentness, pastness or futurity. The authors proceed to address,
and defuse, a number of objections that have been marshaled against
GBT, including the so-called epistemic objection according to which
the theory invites skepticism about our temporal location. The
challenge posed by relativistic physics is met head-on, by
replacing claims about temporal variation by claims about variation
across spacetime. The book aims to achieve the greatest possible
rigor. The background logic is set out in detail, as are the
principles governing the notions of precedence and temporal
location. The authors likewise devise a novel spacetime logic
suited for the articulation, and comparative assessment, of
relativistic theories of time. The book comes with three technical
appendices which include soundness and completeness proofs for the
systems corresponding to GBT and its competitors, in both their
pre-relativistic and relativistic forms. The book is primarily
directed at researchers and graduate students working on the
philosophy of time or temporal logic, but is of interest to
metaphysicians and philosophical logicians more generally.
Logik fur Einsteiger. Die kompakte Einfuhrung in die Aussagen- und
Pradikatenlogik erklart leicht verstandlich die logischen Regeln,
ihre Interpretation und Anwendung. Beweisstrategien und
Fehlschlusse werden anhand einer Fulle von Beispielen transparent
gemacht. 14 UEbungsblatter und 3 Klausurenvorschlage mit Loesungen
uberprufen den Lernerfolg des erarbeiteten Wissens.
Massgeschneidert auf die Logikseminare im Grundstudium und in den
BA-Studiengangen.
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