I'm trying to write a logical syllogism in the form of ((a -> b) & (c -> a)) -> (c -> b). But I don't know how to write Logical And character. It's something like caret character (^), but not as a superscript.
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$((a\implies b) \land (c\implies a)) \implies (c \implies b)$
\land and \wedge are synonymous.
egreg
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In case you don't like the default \wedge symbol, you can try the one provided by the mathabx package:

EDIT: Oh the shame, not even an example? Based on egreg's solution:
\documentclass{article}
\usepackage{amsmath}
\usepackage{mathabx}
\begin{document}
% from egreg's solution
$((a \implies b) \land (c \implies a)) (c \implies b)$
\end{document}
Note that the use of mathabx is just an aesthetic choice. Since you are writing logic, egreg's approach is the way to go, since it's more semantic.
Paulo Cereda
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3@Saeed: It's a package
=). You can load it by putting\usepackage{mathabx}in your document preamble. I never used myself, but I found it in The Comprehensive LaTeX Symbol List, page 23. You can find other alternative symbols in there. – Paulo Cereda Jul 22 '11 at 11:49
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use $\wedge$ or $\bigwedge$
\landsince it's the semantic variant and because of the command's similarity to other logical connectives such as\lorand\lnot. – N.N. Jul 22 '11 at 11:58\impliesjust used\rightarrow– Mzq Apr 22 '18 at 10:00