Introduction to logic.

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Mt. Vernon campus stacks

BC108 .S85  Available  Request 
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American  
WRLC Shared Collections Facility

BC108 .S85 
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Catholic  
Mullen Library stacks

BC108 .S95  Available  Request 
WRLC Shared Collections Facility

BC108 .S85 1957b 
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UDC  
Van Ness stacks

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Van Ness stacks

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George Mason  
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Georgetown  
Lauinger stacks

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Marymount  
Marymount Main stacks

BC108 .S85 1957  Available  Request 
Subjects 
Logic.
Logica. Logique. 
Series 
University series in undergraduate mathematics.

Description 
312 pages illustrations 24 cm.

Copyright Date 
[1957]

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. Settheoretical foundations of the axiomatic method : Introduction ; Settheoretical predicates and axiomatizations of theories ; Isomorphism of models for a theory ; Example: probability ; Example: mechanics. 
Network Numbers 
(OCoLC)374905
(OCoLC)ocm00374905 
WorldCat  Search OCLC WorldCat 
WorldCat Identities  Suppes, Patrick, 19222014.
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