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 variable
(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!
== Predicate logic == Propositional variables with no object variables such as ''x'' and ''y'' attached to predicate letters such as P''x'' and ''x''R''y'', having instead individual constants ''a'', ''b'', ..attached to predicate letters are propositional constants P''a'', ''a''R''b''. These propositional constants are atomic propositions, not containing propositional operators. The internal structure of propositional variables contains [[predicate symbol|predicate letters]] such as P and Q, in association with [[bound variable|bound]] individual variables (e.g., x, ''y''), individual constants such as ''a'' and ''b'' ([[singular term]]s from a [[domain of discourse]] D), ultimately taking a form such as P''a'', ''a''R''b''.(or with parenthesis, <math>P(11)</math> and <math>R(1, 3)</math>).<ref>{{Cite web|date=2015-06-24|title=Mathematics {{!}} Predicates and Quantifiers {{!}} Set 1|url=https://www.geeksforgeeks.org/mathematic-logic-predicates-quantifiers/|access-date=2020-08-20|website=GeeksforGeeks|language=en-US}}</ref> Propositional logic is sometimes called [[zeroth-order logic]] due to not considering the internal structure in contrast with [[first-order logic]] which analyzes the internal structure of the atomic sentences.
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)