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A Formal Background to Mathematics: Logic, Sets and Numbers
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Catalogue Information
Field name
Details
Dewey Class
515
Title
A Formal Background to Mathematics ([EBook]) : Logic, Sets and Numbers / by Robert Edwards.
Author
Edwards, Robert E. , 1926-
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 1979.
Physical Details
XXXIV, 935 pages : online resource.
Series
Universitext
0172-5939
ISBN
9781461299844
Summary Note
§1 Faced by the questions mentioned in the Preface I was prompted to write this book on the assumption that a typical reader will have certain characteristics. He will presumably be familiar with conventional accounts of certain portions of mathematics and with many so-called mathematical statements, some of which (the theorems) he will know (either because he has himself studied and digested a proof or because he accepts the authority of others) to be true, and others of which he will know (by the same token) to be false. He will nevertheless be conscious of and perturbed by a lack of clarity in his own mind concerning the concepts of proof and truth in mathematics, though he will almost certainly feel that in mathematics these concepts have special meanings broadly similar in outward features to, yet different from, those in everyday life; and also that they are based on criteria different from the experimental ones used in science. He will be aware of statements which are as yet not known to be either true or false (unsolved problems). Quite possibly he will be surprised and dismayed by the possibility that there are statements which are "definite" (in the sense of involving no free variables) and which nevertheless can never (strictly on the basis of an agreed collection of axioms and an agreed concept of proof) be either proved or disproved (refuted).:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-9984-4
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Difference and Functional Equations
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Difference equations
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Functional equations
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Mathematical analysis
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Mathematics
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Authors:
Edwards, Robert E. 1926-
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Edwards, Robert E., 1926-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
515
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