Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Propositional formula
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
== References == * {{cite book |last= Rosenbloom |first= Paul |author-link= Paul C. Rosenbloom |date=1950 |title=The Elements of Mathematical Logic |location=Mineola, New York |publisher=Dover Publications, Inc.|isbn=0-486-44617-4}} * {{cite book |last= Kleene |first= Stephen |author-link= Stephen Cole Kleene |date=1952 |title=Introduction to metamathematics |location=Amsterdam |publisher=North-Holland Publishing Company}} * {{aut|Bender, Edward A.}} and {{aut|Williamson, S. Gill}}, 2005, ''A Short Course in Discrete Mathematics'', Dover Publications, Mineola NY, {{isbn|0-486-43946-1}}. This text is used in a "lower division two-quarter [computer science] course" at UC San Diego. * {{aut|[[Herbert Enderton|Enderton, H. B.]]}}, 2002, ''A Mathematical Introduction to Logic.'' Harcourt/Academic Press. {{isbn|0-12-238452-0}} * {{aut|Goodstein, R. L.}}, (Pergamon Press 1963), 1966, (Dover edition 2007), ''Boolean Algebra'', Dover Publications, Inc. Minola, New York, {{isbn|0-486-45894-6}}. Emphasis on the notion of "algebra of classes" with set-theoretic symbols such as ∩, ∪, ' (NOT), ⊂ (IMPLIES). Later Goldstein replaces these with &, ∨, ¬, → (respectively) in his treatment of "Sentence Logic" pp. 76–93. * {{aut|[[Ivor Grattan-Guinness]]}} and Gérard Bornet 1997, ''George Boole: Selected Manuscripts on Logic and its Philosophy'', Birkhäuser Verlag, Basil, {{isbn|978-0-8176-5456-6}} (Boston). * {{aut|A. G. Hamilton}} 1978, ''Logic for Mathematicians'', Cambridge University Press, Cambridge UK, {{isbn|0-521-21838-1}}. * {{aut|E. J. [[McCluskey]]}} 1965, ''Introduction to the Theory of Switching Circuits'', McGraw-Hill Book Company, New York. No ISBN. Library of Congress Catalog Card Number 65-17394. McCluskey was a student of [[Willard Quine]] and developed some notable theorems with Quine and on his own. For those interested in the history, the book contains a wealth of references. * {{aut|[[Marvin L. Minsky]]}} 1967, ''Computation: Finite and Infinite Machines'', Prentice-Hall, Inc, Englewood Cliffs, N.J.. No ISBN. Library of Congress Catalog Card Number 67-12342. Useful especially for computability, plus good sources. * {{aut|[[Joel W. Robbin]]}} 1969, 1997, ''Mathematical Logic: A First Course'', Dover Publications, Inc., Mineola, New York, {{isbn|0-486-45018-X}} (pbk.). * {{aut|[[Patrick Suppes]]}} 1957 (1999 Dover edition), ''Introduction to Logic'', Dover Publications, Inc., Mineola, New York. {{isbn|0-486-40687-3}} (pbk.). This book is in print and readily available. * On his page 204 in a footnote he references his set of axioms to [[Edward Vermilye Huntington|E. V. Huntington]], "Sets of Independent Postulates for the Algebra of Logic", ''Transactions of the American Mathematical Society'', Vol. 5 91904) pp. 288-309. * {{aut|[[Alfred Tarski]]}} 1941 (1995 Dover edition), ''Introduction to Logic and to the Methodology of Deductive Sciences'', Dover Publications, Inc., Mineola, New York. {{isbn|0-486-28462-X}} (pbk.). This book is in print and readily available. * {{aut|[[Jean van Heijenoort]]}} 1967, 3rd printing with emendations 1976, ''From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931'', Harvard University Press, Cambridge, Massachusetts. {{isbn|0-674-32449-8}} (pbk.) Translation/reprints of Frege (1879), Russell's letter to Frege (1902) and Frege's letter to Russell (1902), Richard's paradox (1905), Post (1921) can be found here. * {{aut|[[Alfred North Whitehead]]}} and {{aut|[[Bertrand Russell]]}} 1927 2nd edition, paperback edition to *53 1962, ''Principia Mathematica'', Cambridge University Press, no ISBN. In the years between the first edition of 1912 and the 2nd edition of 1927, H. M. [[Sheffer]] 1921 and M. Jean [[Nicod]] (no year cited) brought to Russell's and Whitehead's attention that what they considered their primitive propositions (connectives) could be reduced to a single |, nowadays known as the "stroke" or NAND (NOT-AND, NEITHER ... NOR...). Russell-Whitehead discuss this in their "Introduction to the Second Edition" and makes the definitions as discussed above. * {{aut|William E. Wickes}} 1968, ''Logic Design with Integrated Circuits'', John Wiley & Sons, Inc., New York. No ISBN. Library of Congress Catalog Card Number: 68-21185. Tight presentation of engineering's analysis and synthesis methods, references McCluskey 1965. Unlike Suppes, Wickes' presentation of "Boolean algebra" starts with a set of postulates of a truth-table nature and then derives the customary theorems of them (p. 18ff).
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)