Deductive Systems in Traditional and Modern Logic

The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.

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Year of Publication:2020
Language:English
Physical Description:1 electronic resource (298 p.)
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spelling Wybraniec-Skardowska, Urszula edt
Deductive Systems in Traditional and Modern Logic
Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
1 electronic resource (298 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
English
Research & information: general bicssc
Mathematics & science bicssc
quine
logic
ontology
multiple conclusion rule
disjunction property
metadisjunction
axiomatizations of arithmetic of natural and integers numbers
second-order theories
Peano's axioms
Wilkosz's axioms
axioms of integer arithmetic modeled on Peano and Wilkosz axioms
equivalent axiomatizations
metalogic
categoricity
independence
consistency
logic of typical and atypical instances (LTA)
logic of determination of objects (LDO)
quasi topology structure (QTS)
concept
object
typical object
atypical object
lattice
filter
ideal
discussive logics
the smallest discussive logic
discussive operators
seriality
accessibility relation
Kotas' method
modal logic
deontic logic
ontology of situations
semantics of law
formal theory of law
Wittgenstein
Wolniewicz
non-Fregean logic
identity connective
sentential calculus with identity
situational semantics
deduction
(dual) tableau
Gentzen system
deductive refutability
refutation systems
hybrid deduction-refutation rules
derivative hybrid rules
soundness
completeness
natural deduction
meta-proof theory
synthetic tableaux
principle of bivalence
cut
first-order theory
universal axiom
Peano's axiomatics of natural numbers
Leśniewski's elementary ontology
Frege's predication scheme
Frege's Zahl-Anzahl distinction
term logic
Franz Brentano
Lewis Carroll
logic trees
logic diagrams
paraconsistent logic
paraconsistency
Sette's calculus
the law of explosion
the principle of ex contradictione sequitur quodlibet
semantic tree
distribution
Aristotle's logic
syllogistic
Jan Łukasiewicz
axiomatic system
axiomatic refutation
temporal logic
intuitionistic logic
minimal system
knowledge
sequent-type calculi
nonmonotonic logics
default logic
rejection systems
Kripke models
logics of evidence and truth
3-03943-358-X
3-03943-359-8
Citkin, Alex edt
Wybraniec-Skardowska, Urszula oth
Citkin, Alex oth
language English
format eBook
author2 Citkin, Alex
Wybraniec-Skardowska, Urszula
Citkin, Alex
author_facet Citkin, Alex
Wybraniec-Skardowska, Urszula
Citkin, Alex
author2_variant u w s uws
a c ac
author2_role HerausgeberIn
Sonstige
Sonstige
title Deductive Systems in Traditional and Modern Logic
spellingShingle Deductive Systems in Traditional and Modern Logic
title_full Deductive Systems in Traditional and Modern Logic
title_fullStr Deductive Systems in Traditional and Modern Logic
title_full_unstemmed Deductive Systems in Traditional and Modern Logic
title_auth Deductive Systems in Traditional and Modern Logic
title_new Deductive Systems in Traditional and Modern Logic
title_sort deductive systems in traditional and modern logic
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2020
physical 1 electronic resource (298 p.)
isbn 3-03943-358-X
3-03943-359-8
illustrated Not Illustrated
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