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This question already has an answer here:

Below is an image that I took of a symbol in "Logic for Philosophy" by Theodore Sider. The symbol is used to represent a function whose domain is Sentence letters of propositional logic and whose range is the set {0,1} (Called a PL-Interpretation... it basically assigns truth value to different capital letters). What is the name of this symbol and how can it be reproduced in LaTeX?

enter image description here

marked as duplicate by Heiko Oberdiek, mafp, Gonzalo Medina, Andrew Swann, cmhughes Jun 18 '13 at 16:34

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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You can use Detexify to answer such questions, for example:

Screenshot

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You should have a look at: How to look up a symbol or identify a math symbol or character?

Using Detexify you can see, that this symbol is called \mathscr{I} and you need to include \usepackage{ mathrsfs } to use it.

enter image description here

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And an alternative name is \mathcal{I} from the calrsfs package.

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