The Resource Introduction to logic

Introduction to logic

Label
Introduction to logic
Title
Introduction to logic
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1922-2014
http://library.link/vocab/creatorName
Suppes, Patrick
Illustrations
illustrations
Index
no index present
LC call number
BC108
LC item number
.S85
Literary form
non fiction
NAL call number
140
NAL item number
Su7
Series statement
The University series in undergraduate mathematics
http://library.link/vocab/subjectName
  • Logic
  • Logique
  • Logic
  • Logica
  • Logique
Label
Introduction to logic
Link
Instantiates
Publication
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • I. Principles of inference and definition : 1. The sentential connectives : Negation and conjunction ; Disjunction ; Implication: conditional sentences ; Equivalence: biconditional sentences ; Grouping and parentheses ; Truth tables and tautologies ; Tautological implication and equivalence -- 2. Sentential theory of inference : Two major criteria of inference and sentential interpretations ; The three sentential rules of derivation ; Some useful tautological implications ; Consistency of premises and indirect proofs -- 3. Symbolizing everyday language : Grammar and logic ; Terms ; Predicates ; Quantifiers ; Bound and free variables ; A final example -- 4. General theory of inference : Inference involving only universal quantifiers ; Interpretations and validity ; Restricted inferences with existential quantifiers ; Interchange of quantifiers ; General inferences ; Summary of rules of inference -- 5. Further rules of inference : Logic of identity ; Theorems of logic ; Derived rules of inference -- 6. Postscript on use and mention : Names and things named ; Problems of sentential variables ; Juxtaposition of names -- 7. Transition from formal to informal proofs : General considerations ; Basic number axioms ; Comparative examples of formal derivations and informal proofs ; Examples of fallacious informal proofs ; Further examples of informal proofs -- 8. Theory of definition : Traditional ideas ; Criteria for proper definitions ; Rules for proper definitions ; Definitions which are identities ; The problem of division by zero ; Conditional definitions ; Five approaches to division by zero ; Padoa's principle and independence of primitive symbols
  • II. Elementary intuitive set theory : 9. Sets : Introduction ; Membership ; Inclusion ; The empty set ; Operations of sets ; Domains of individuals ; Translating everyday language ; Venn diagrams ; Elementary principles about operations on sets -- 10. Relations : Ordered couples ; Definition of relations ; Properties of binary relations ; Equivalence relations ; Ordering relations ; Operations on relations -- 11. Functions : Definition ; Operations on functions ; Church's lambda notation -- 12. Set-theoretical foundations of the axiomatic method : Introduction ; Set-theoretical predicates and axiomatizations of theories ; Isomorphism of models for a theory ; Example: probability ; Example: mechanics
Dimensions
24 cm.
Extent
312 pages
Lccn
57008153
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other control number
001387453
Other physical details
illustrations
System control number
(OCoLC)374905
Label
Introduction to logic
Link
Publication
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • I. Principles of inference and definition : 1. The sentential connectives : Negation and conjunction ; Disjunction ; Implication: conditional sentences ; Equivalence: biconditional sentences ; Grouping and parentheses ; Truth tables and tautologies ; Tautological implication and equivalence -- 2. Sentential theory of inference : Two major criteria of inference and sentential interpretations ; The three sentential rules of derivation ; Some useful tautological implications ; Consistency of premises and indirect proofs -- 3. Symbolizing everyday language : Grammar and logic ; Terms ; Predicates ; Quantifiers ; Bound and free variables ; A final example -- 4. General theory of inference : Inference involving only universal quantifiers ; Interpretations and validity ; Restricted inferences with existential quantifiers ; Interchange of quantifiers ; General inferences ; Summary of rules of inference -- 5. Further rules of inference : Logic of identity ; Theorems of logic ; Derived rules of inference -- 6. Postscript on use and mention : Names and things named ; Problems of sentential variables ; Juxtaposition of names -- 7. Transition from formal to informal proofs : General considerations ; Basic number axioms ; Comparative examples of formal derivations and informal proofs ; Examples of fallacious informal proofs ; Further examples of informal proofs -- 8. Theory of definition : Traditional ideas ; Criteria for proper definitions ; Rules for proper definitions ; Definitions which are identities ; The problem of division by zero ; Conditional definitions ; Five approaches to division by zero ; Padoa's principle and independence of primitive symbols
  • II. Elementary intuitive set theory : 9. Sets : Introduction ; Membership ; Inclusion ; The empty set ; Operations of sets ; Domains of individuals ; Translating everyday language ; Venn diagrams ; Elementary principles about operations on sets -- 10. Relations : Ordered couples ; Definition of relations ; Properties of binary relations ; Equivalence relations ; Ordering relations ; Operations on relations -- 11. Functions : Definition ; Operations on functions ; Church's lambda notation -- 12. Set-theoretical foundations of the axiomatic method : Introduction ; Set-theoretical predicates and axiomatizations of theories ; Isomorphism of models for a theory ; Example: probability ; Example: mechanics
Dimensions
24 cm.
Extent
312 pages
Lccn
57008153
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other control number
001387453
Other physical details
illustrations
System control number
(OCoLC)374905

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